diff --git "a/data/dm_maths/full_data/1556_11255.jsonl" "b/data/dm_maths/full_data/1556_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1556_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Divide 63285312 by 15821328.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8*-1579\nAnswer: -12632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1471786?\nAnswer: 2, 37, 19889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 5*r - 2*r - 4*r. Let u(t) = -t. Let h(o) = -2*o**2 - 10*o. Let w(m) = -h(m) + 10*u(m). Give w(y(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**3 - 10*z**2 - 4*z + 73. What is the least common multiple of p(7) and 16?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 6*y**2 - 7*y - 6. Let d be g(-5). Suppose -3*a - 3 = 0, n + d*n = -5*a + 200. What is the remainder when n is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 16) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*r**3 - 7*r**3 - 2*r**3)*(11 + 5 + 4) in the form c*r**3 + l + p*r + a*r**2 and give c.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 (base 8) in base 11?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**4 + 0*i**4 - 3*i**4)*(-202 - 203 + 569)*(11 - 171 - 87) to the form t*i**4 + k + d*i**2 + q*i + x*i**3 and give t.\nAnswer: 81016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*a**2 + 106*a**2 + 170*a**2 to n + i*a**2 + d*a and give i.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 26) + (-2 + 1 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 3464\/71?\nAnswer: 3464\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -56*b**2 - 8*b - 6. Let y(p) = p**2 + p + 1. What is -f(m) - 6*y(m)?\nAnswer: 50*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2105, -2104, -2103, -2102, -2101?\n\"Answer: u - 2106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8426001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiwd when four letters picked without replacement from {w: 1, u: 1, i: 5, s: 3, d: 1, q: 1}?\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/19, 0.3, 0.2, -2\/3, 2 in increasing order.\nAnswer: -2\/3, -3\/19, 0.2, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -303933206538 and -2.2.\nAnswer: -303933206540.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*w = 2, 2*i - 13 + 31 = -5*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*b = -3*t + 458, 1142 = 5*t + 2*b. Suppose -34 = 2*k - t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-864)\/(-420) + (-16)\/280. Solve i - 22 = -5*f - o, 4*f = 2*i + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 166*x + 3768. What are the prime factors of l(16)?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133256 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 100100110001111 (base 2) to base 9\nAnswer: 27743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-70) - ((-23)\/(-7) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -334*m - 75*m**2 + 321*m + 8*m**3 + 79*m**2 + (0 - 2*m + 0)*(-m**2 + 5*m**2 - 3*m**2).\nAnswer: 6*m**3 + 4*m**2 - 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -340 (b) 11 (c) -4 (d) -2\/7 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 plus -49577136.9?\nAnswer: -49576226.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -0.032, 17 in descending order.\nAnswer: 17, 2, -0.032, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*s = -2*t + 14, 8 = -4*s. Suppose -17 = 5*q + 3, t*q + 12 = -2*i. What is the units digit of 2 + (0 - i - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12574 - -12575.04943. Let q = 1.05 - z. What is q rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 2904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - -1) + -2)\/(1\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(85)*4 - sqrt(85)) - sqrt(85) - sqrt(85) - sqrt(85))\/(-4*sqrt(10)\/sqrt(2)) - (2*(sqrt(68) + 2))**2*-3*3.\nAnswer: 579*sqrt(17)\/2 + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 1. Suppose 0 = -5*x + 11 + 9, -x = -5*z + a. Suppose 4*j = z*q - 1 + 135, -2*q = 4*j - 154. Calculate the greatest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 5.5?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000305046 rounded to seven dps?\nAnswer: -0.0000305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*d = -8, -2*l + 3*d - 2 = 7. Let h be (2 - 3)\/((-4)\/(-8)). Let n be 77 + l + 1*h. Calculate the greatest common factor of 48 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2\/6 + 139498\/114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4576893 and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 47729174 to the nearest one hundred thousand.\nAnswer: 47700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2996831385 and 0.43505.\nAnswer: 2996831385.43505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -911*t**2 - 2*t - 2259 with respect to t.\nAnswer: -1822*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 9*d - 6. Let x be b(-8). Let a be -2 + (34 - x)\/4. Suppose 5*y + 3*o = o + 30, -o = y - a. Calculate the lowest common multiple of 2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - -1*sqrt(270))\/sqrt(10).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -6. Let u = -11 - -7. What is the nearest to x in 0.2, u, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-18)\/(-8)*8\/3 and 23 - (1 + (4 - 4)\/(-1))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 - -2.8. Let j = -6\/929 + -1816\/6503. What is the nearest to j in -2, u, -11, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 207678361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(184\/16)\/23. Solve 38*w + 21*w + 59 = j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*q, 555*l = 560*l - 3*q + 2. Sort 11, 1, 5, 2, l.\nAnswer: l, 1, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -20*p**2 + 39. Let m(u) = -5*u**2 - 9*u + 2. What is m(j(x))?\nAnswer: -2000*x**4 + 7980*x**2 - 7954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12609, 48679, 108159, 191043, 297325, 426999, 580059, 756499?\nAnswer: 956313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 6*l + 36 = 0. Calculate the remainder when (l\/2)\/((-3)\/(-32)) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0108032112 rounded to five decimal places?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 12:02 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.56 + -0.95. Let f = 2.61 - n. Which is the biggest value? (a) f (b) -4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 628948014 and 3715?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 44 = y + 4*y, -16 = -4*y. Let k(a) be the second derivative of a**5\/20 - 7*a**4\/12 + 4*a**3\/3 - 3*a**2 + 9*a. Determine k(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2503216 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*c + 270. What is the greatest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/45 in 0.1, -35230, -1\/5, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53389?\nAnswer: 7, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147263096725\/38 + 3868757331. Let i = -6585948 - g. Let n = -1370 + i. What is the common denominator of 5\/16 and n?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.9 + 6.9. What is the closest to 1 in 1, h, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q + 26*q + 2405. Which is smaller: q or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/207023515?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - 3324427?\nAnswer: -3324393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 112 + 160. What is the common denominator of (18\/11)\/(6\/(-6)) and (2*-2)\/(144\/m - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 5*a**2 - 6*a - 6. Suppose 2*v + 3*g - 7 = -0, -v + 4*g - 24 = 0. Let b be u(v). Let s = -10 + 18. Solve -s = -3*n - b*n - 3*i, -n = -i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w*w\/w**21*w)\/w)*w**(-17)*(w**7)**(29\/4) assuming w is positive.\nAnswer: w**(215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -56*h + 416. Calculate r(3).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 9393.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5780000 to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 6*r**2 - 6*r - 7. Let n be g(5). Let i = 36 + n. Calculate the greatest common divisor of i and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*l + 15, -p - 12 = -4*p - l. Suppose 20*g = p - 3. Solve g = 2*j - 4*x + 10, 8 = -0*j + 2*j + 5*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2185576 is divided by 562?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 7*x**6\/120 + 13*x**4\/24 - 5*x**3\/2 - 7*x**2. Let s(i) = 4*i**3 + 7*i - 8. Give 6*k(d) - 11*s(d).\nAnswer: -2*d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-9))\/((-7)\/3 - -2). Solve -z + l = 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7 + 3 + 29730*l.\nAnswer: 29730*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrvx. What is prob of sequence rr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 164.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/95 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54904 to 3 dps.\nAnswer: -0.549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ace + e?\nAnswer: add","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yxxyx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890182 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -65.3. Let o = 4 + k. Sort -3, 1, o in increasing order.\nAnswer: -3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + 283. Let w = 400 + -397. Suppose -w*l + f = l. Is l a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208893 to the power of 1\/2, to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 16*u**2 - 30*u + 15. What is the hundreds digit of z(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76 - 86 - 496*d**3 - 551*d**3 - 236 with respect to d.\nAnswer: -3141*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2))\/u)\/u**(8\/3)*(u**(-5)*u)\/(u**(-2\/5)\/u) assuming u is positive.\nAnswer: u**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -1, -2 in decreasing order.\nAnswer: 60, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 112564123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 410 divided by -921898\nAnswer: -205\/460949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.38 and -0.5.\nAnswer: 4.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 0 - ((-36)\/3 + 6). Solve -n = 3*o - 10, n + 5*o - 14 = -u*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(22)\/sqrt(2)) + sqrt(99)\/(sqrt(72)\/(sqrt(32)\/sqrt(4))).\nAnswer: 3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 2.2. Let q(z) = -z**2 + 8*z - 14. Let f be q(4). Which is the third biggest value? (a) f (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*i, i = 31*o + 93 - 38 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 3*n + 2. Let m be l(-3). Find the common denominator of 2\/6*(-4 + 1) and (65*m\/3)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 - (-56 - -151 - 49)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2711 + -3?\nAnswer: 2707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.63351 kilometers in micrometers?\nAnswer: 15633510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -195 or -4798?\nAnswer: -4798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21698 + -21686. Calculate the remainder when 860 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93.07 + 46.01. Round k to 0 decimal places.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4815998?\nAnswer: 2, 11, 17, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z - 190. Let n(l) = -52913 + 52913 + 3*l**2. Determine n(x(c)).\nAnswer: 48*c**2 + 4560*c + 108300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k = 8. Suppose -31 = -k*q + 3. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 12. Let h(q) = -20*q**2 + 2*q. Determine h(r(s)).\nAnswer: -80*s**2 - 964*s - 2904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 - 18*v**2 - 3.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -12, -2\/7, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 353 + -161. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 0*a**2 - a**2)*(-5 + 5 + 22)*(1 + 0 + 0)*(2*a**2 + 2*a**2 - 2*a**2).\nAnswer: 88*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 50 - b**2 + 3*b - 2*b - 2*b - b**2 + 62 in the form i*b**2 + t + k*b and give t.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37594.952 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + i - 30. What is c(6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**7\/350 + 47*d**6\/50 + 2209*d**5\/25 - 2*d**2 + 28*d. Factor j(h).\nAnswer: 3*h**2*(h + 94)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**2 - 34279 - 9*g - g**3 + 34266 + 4*g. Calculate h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-315)\/(-480))\/3*6\/84?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1307, 1314, 1321, 1328, 1335, 1342?\nAnswer: 1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*v = -v - 20, -5*a = v - 23. Let h = -6 - -11. Let s = 126 - 122. Solve -s = 4*i, h = 3*g - 3*i - a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2840, -5668, -8486, -11294?\nAnswer: -14092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34532, 35781, 37030?\n\"Answer: 1249*g + 33283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-8 - -9))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 119\/121)\/(-12 + (-110)\/(-11))?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5604 times 1\nAnswer: 5604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 97013.7 days?\nAnswer: 13859.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -1 (c) -1.1 (d) -4 (e) 0.45 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 15. What is the highest common factor of 136 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 84 + 32*w - 84. Let z(o) = 4*o**2. Determine k(z(l)).\nAnswer: 128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -109*r**2 + 16\/3*r**4 - 184\/3*r**3 + 197\/3*r - 26\/3 = 0. Calculate r.\nAnswer: -2, 1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/17640*21)\/((2 + -5)\/15)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-21))\/((-5)\/(-35))*-6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**4\/4 + 8*t**3\/3 + t**2\/2 + t + 4. Let v be l(8). Let j = v - -5. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*f - 577 - 1369 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10*q**3 + 6*q**2 - 6*q - 3. Let h(u) = -21*u**3 - 13*u**2 + 13*u + 5. Let p(m) = -13*g(m) - 6*h(m). What is the derivative of p(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 45060*m - 135219. What is d(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18809929 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 15 (b) 0 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.28 and 12077911?\nAnswer: -3381815.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*q - 471*w - 2874 = -467*w, -4*q = 5*w + 123 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 9, 12, 15, 18?\n\"Answer: 3*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004573816949 rounded to 7 decimal places?\nAnswer: -0.0000457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - w - 1. Let q be c(-1). Let p be q\/((-8)\/10) - (-6)\/12. Is p\/7 + 256\/14 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.7 + -8. Let q be -3 + 2 - (-10)\/14. What is the third smallest value in q, -2, 2\/3, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 122 (b) -5 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 12*a**2 + 12*a + 14. Let k(w) = -w**2 + 46*w - 35. Let s(u) = 15*u - 12. Let y(j) = 2*k(j) - 7*s(j). Let l be y(-8). Is p(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 632\/7 - 90. Let f = -4.29 + 4.59. Which is the smallest value? (a) 4 (b) i (c) 5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 11*r**2 + 14*r + 363. What is t(-17)?\nAnswer: -1609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42070*x**6 - 4*x**2 - 206409*x wrt x.\nAnswer: 5048400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by -3 - -2 - (-15 + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/36*710\/497*(-152)\/10?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 44*i**3 - 2*i - 63*i**3 + 3*i**2 - 5*i**2 - 5 to y*i**2 + x + k*i + s*i**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3937*s**2*t**3 - 229953*s**2*t**2 - 9*t**4 wrt t?\nAnswer: -23622*s**2 - 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 271 + 1279. What is c rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3 + 261*p**2 - 1663 with respect to p.\nAnswer: 3*p**2 + 522*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1080\/300)\/(1\/(-15)*-2). Sort j, 4, -4 in ascending order.\nAnswer: -4, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-8))\/((-95)\/380))\/(5*(-1)\/(-35))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 119*v - v - 2682 = 0 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 12 + 20\/5. Let z be 4\/g - (-10)\/(-8). Does -1 = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*l + y - 28, y = -2*l + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 f when four letters picked without replacement from xfoxoofxxxfxoxof.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -0.3, -0.18, -2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 k when three letters picked without replacement from bkbkkkbbkkk.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/9*s**5 + 0 + 0*s - 92\/9*s**3 + 4*s**4 + 20\/3*s**2 = 0. Calculate s.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 0*q**3 + 0*q**3 + (-3*q**5 - 2*q**5 + 3*q**5)*(4 - 15 - 5) + 2*q**5 + 3*q**5 - 4*q**5 + 2*q**5 - 3*q**5 + 2*q**5.\nAnswer: 35*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-22))\/(187\/(-14399)). Let i(r) be the first derivative of -r**4\/4 - 2*r**3 + 7*r**2\/2 + 10*r + 1. Give i(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/70 - (4 - (-87)\/(-21)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*q = 545, 4*l = -5*q - 0*q + 436. Suppose u - l = 82. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5))**(-31))**(-15)\/((g\/g**(-1\/3))**(-18))**(-3\/13) assuming g is positive.\nAnswer: g**(2346\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - 16. Let d = x - -186. Let p = d + -121.999899. Round p to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, l: 3, v: 2}. What is prob of picking 2 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24983*z**3 - 6 - 7 + 13.\nAnswer: -24983*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 4*v**2 + 4*v + 7. Let k be b(5). Let f = -487 - -489. Let d**k - 64*d + 19*d + 3*d**f + 17*d = 0. What is d?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = -4*x - 6, 4*x + 12 = 2*h. Suppose h*b - 484 = -2*b + 3*u, 586 = 5*b + u. List the prime factors of b.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3353 - -35?\nAnswer: -3316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.461824 minutes in days?\nAnswer: 0.0017096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3. Let d be (o + 2)*514\/6. Calculate the common denominator of 121\/6 and d\/(-42) + 4\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5914356*o**3 - 5914356*o**3 + 850*o**4 + 1130 wrt o?\nAnswer: 3400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -3. Let h be -6*((-16)\/f)\/2. What is the highest common divisor of h and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wppwppbw. What is prob of picking 2 w?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 - 411*s**4.\nAnswer: -3*s**4*(s + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 446215 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)*k)**(-27\/5))**(-9\/4)*k**4\/k**0*(k**(2\/5))**(-32) assuming k is positive.\nAnswer: k**(821\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56297052 and 4068?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 1.7, -7481.1, -4\/5 in increasing order.\nAnswer: -7481.1, -4, -4\/5, 1.7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:03 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 280*x + 0 + 240*x**2 + 5*x**4 + 90*x**3 + 0 + 60*x**2 = 0.\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-33*19\/209)*2*-15.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t - 8 = 5*m, -t - 5*m = -4. Suppose -5*c = -t*c - 6. Suppose 0 = -4*n - c*s + 3*s + 89, -3*n = 5*s - 53. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20181.13 to the nearest one hundred.\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7847149.\nAnswer: 17, 79, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 189773731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 u when four letters picked without replacement from uuhuhhuuhuu?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-30) - -1*(-652)\/(-10). Let b = 162 - c. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 + (-20 - (-287)\/14))*-2\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 1\/7*j**7 + 0 + 0*j**6 - j**3 + 0*j**5 + 0*j**2 + 0*j**4 + 7*j. What is the second derivative of f(l) wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*j, -5*p + 37 = 4*j - 21. Suppose -3*n = -4*n - u + 8, 0 = -n + 2*u + 11. Let z = p + n. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 13 + (2 - (2 + (-4 - -8)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1355485036 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + -2.03. Let g = -2.4 - f. Let o = 143 - 147. Which is the second smallest value? (a) g (b) 2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11514329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -190*l - 31646. Let u be r(-167). Suppose 0 = -3*b + 4*s + 1264, 3*b + b = -s + 1679. What is the greatest common factor of u and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pufi when four letters picked without replacement from {i: 7, p: 1, u: 1, z: 2, f: 2, a: 2}?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -610 + 617. Calculate the remainder when 34 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 2*v**3\/3 + v**2 - 2*v. Give g(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 7*z**2 + 1. Let c be s(7). Put -7, c, -2 in decreasing order.\nAnswer: c, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240123 (base 5) in base 6?\nAnswer: 104404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 474\/77 - -3\/11. Let b = 3293\/174 - -152\/29. Calculate the common denominator of a and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 185, 732, 1643, 2918, 4557, 6560, 8927?\n\"Answer: 182*t**2 + t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2157 + -983. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2049, -7827, -17459, -30945, -48285, -69479, -94527?\n\"Answer: -1927*m**2 + 3*m - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15785.9 + -15785.816929. Let j = 0.083 - t. What is j rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**7\/42 + i**6\/12 - 5*i**4\/12 - 5*i**3\/6 + 93*i**2\/2 + i + 44. Let j(p) be the second derivative of l(p). Factor j(b).\nAnswer: 5*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-755)\/(((-6)\/(-9))\/(-2)). Let g = x + -1354. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*1\/(-3) - -1. Let h be (2\/(-6))\/((-1)\/j). Suppose 4*a = -3*z - 0 + 6, -2*a = -6. Sort h, z, 5 in ascending order.\nAnswer: z, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206593 + 0.04?\nAnswer: 206593.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 3, v: 2, u: 2, m: 9}. Give prob of picking 1 p and 2 m.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2107 + 2182. Let z = -1208.517 + 1133.5. Let u = g + z. What is u rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 > 1717\/110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6446.470797 to 1 decimal place.\nAnswer: -6446.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4688 + 4668. Which is the third smallest value? (a) -4 (b) 2\/9 (c) j (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3 (c) -0.5 (d) 8 (e) -7310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*-4*1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**2 + 4*y + 8. Let k be a(-7). Suppose 4*c - k - 203 = 0. What is the least common multiple of c and 7?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 3:16 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120195420 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -7736 and -208874\/27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 1:50 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45 + 346*t + 339*t - 687*t)*(-2*t - 1 + 1) to the form j*t**2 + o*t + a and give o.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1652*j + 1911 = 1659*j. What is the least common multiple of 27 and j?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 268.8677 millilitres?\nAnswer: 0.2688677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332 - 468. Let u = s - -133. What is the smallest value in -5, u, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61873\/2 - 30937. What is the nearest to 0.8 in -0.4, y, 110?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44.11 or 0.044?\nAnswer: 44.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f*f**4)**43\/(f**(-6)*f**(-1\/3)*(f**(-3)*f)\/f*f**5*f) assuming f is positive.\nAnswer: f**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1500 = 5*j - 0*j. Let c be (-22)\/(-3)*j\/40. Suppose -2*i + c = -i. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*y - 5*z - 4 = 140*y, 5*y - 2*z = 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:46 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 divided by -14?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15490500 - 3?\nAnswer: 154904a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 19.5. Let v = d - -0.5. Let h = v - -2.99986. Round h to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d. Let o be p(0). Suppose 5*w - 1502 = -m, -3*w - 4*m + 1031 - 140 = o. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -30. Suppose m*b - 206 = -3*c, -2 = 3*b + 1. Calculate the greatest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*s + 5*y + 15, 2*y + 8 = 0. Let b be 12\/9*(-2)\/(24\/18). Put s, -4, b, 4 in descending order.\nAnswer: 4, s, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (51 - 57) + (5 - (-2 + 3)). Put 4, -21, 5, q in increasing order.\nAnswer: -21, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 17 = -5*y, 0 = -4*y - 5*z + 10 + 12. Solve 4*k - 6 = -h + 6, -4*h - y = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + r - 162 = -3*j, -41*r + 42 = -35*r + j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/6 in -176, 4\/11, 2\/5, 0.11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6842 or 17\/2?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 151da (base 14) to base 6\nAnswer: 1043100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 669760.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 3*c**2 + 6*c**2 - 4*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/3)\/((-22)\/(-12)) + 292\/(-1606)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 14271400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 222170+42\nAnswer: 222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -679, -1, -2, -8 in decreasing order.\nAnswer: -1, -2, -8, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*l + 47*l + 79*l**3 - 23*l.\nAnswer: 79*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/(-6) - -8 - -2 - 5. Let t = 58 + -523\/9. Which is the nearest to -2\/25? (a) t (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 0 = -7*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 3*i**2 - 3*i**2 - 4*i + i**2.\nAnswer: 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(45\/10))\/((-96)\/252).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*m - 30 = -5, -4*i + 20 = 4*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/7)\/((-1848)\/(-8085))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 26*t + 90. Let v be h(4). Solve 0 = v*g - 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -60. Let z = t + 25. Let q(w) = -1 + w + 3 + 5 - 6. Let r(d) = -d - 1. Calculate z*r(f) + 5*q(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12907.5504 times 0.5?\nAnswer: -6453.7752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/21 + (-172)\/14. Let i = t - -12. Solve 3*x + 3 - 12 = i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 29*k + 0*k - 3758 + 118 = 0 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 3*v**2 - 1. Suppose 0 = -0*k - 3*k + 6. What is the units digit of m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -7 - 11. What is the second derivative of 0*m**2 + 0*m**2 + 8*m - 4*m**p wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -58, -1, 0, 4 in increasing order.\nAnswer: -58, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from {x: 2, y: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 238728 and 1611414?\nAnswer: 6445656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 21766 and 0.3.\nAnswer: 21766.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2952 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - -17) - -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*x**2 - 138*k**2*x + 2*k**2 + 111404*k*x**3 + 2149*k wrt x.\nAnswer: -2*k**2 + 668424*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose 76 = 4*v + 5*f - r*f, 4*f - 16 = 0. Let i = v + -9. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -2. Let c(h) = -h - 7. Let w be c(t). Let m be (w + 3)*(-5)\/2. What is the smallest value in m, 2\/3, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3 - 33\/(-12)). Suppose 15 = 3*a, 0 = 4*c - 3*a + p*a - 17. Suppose o = -c, -3*j + 5*j = o + 15. What is the remainder when 9 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-4)\/(-40))\/((-24)\/15).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5373)\/81 - -53)*2*9\/10 - 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -642 and -643 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 22*x**2 - 9*x - 52. Calculate the remainder when a(-22) is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 0.04, -0.1, 2\/11?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 22 = 5*t + 2*r, 4*t + r = 31. Let h be 2\/3*3\/t. Which is the closest to 0.2? (a) -1 (b) h (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138.1 - 143.1. Which is the closest to 1? (a) 0.5 (b) p (c) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/20 + p**4 - 7*p**3\/2 - 55*p**2 - 32*p. Let r(z) be the first derivative of q(z). What is i in r(i) = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 + 7 - 3) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/78 and -79\/2566200?\nAnswer: 2566200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -374 - -294. Let n be (-24)\/v + 33\/(-10). Let k be (2 - 14\/6)*-2. Which is the nearest to k? (a) 0.8 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -36 in increasing order.\nAnswer: -36, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/6951, -2, 17, 3\/155?\nAnswer: 3\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**4 - 3*o**4 - 3*o**4)*(2*o + o + 0*o) + 0*o**5 + 0*o**5 - o**5.\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-4 - -4) - -2. Let a be 4\/5*(c - (10 + -5)). Which is greater: a or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -7\/5*b**5 + 0*b**4 + 0*b**3 + 5*b**2 + 0 - 23*b. Find the first derivative of q(g) wrt g.\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -10*u + 5. Let r(p) = 5*p - 3. Give 4*m(q) + 7*r(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4534.6 take away -25485412?\nAnswer: 25489946.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7677*u + 10862933. Calculate w(-1415).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5130 and 4023?\nAnswer: 764370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1470) - (sqrt(1470) - ((sqrt(1470)*2 - sqrt(1470)) + sqrt(1470) - sqrt(1470))))\/(sqrt(6)*1*-4))**2*-5*4.\nAnswer: -3225\/4 + 350*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4504 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 76*h**2 + 3528*h + 275704. Give s(-71).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452922383.\nAnswer: 229, 1977827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -60. Suppose -10 = -3*g - 2*r, -4*r + 6*r = 4. Suppose -4*o + g*o + 2*i + 2 = 0, -4*o + p = -2*i. Solve o = -f + 6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690216.\nAnswer: 2, 11, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.526*-30.\nAnswer: 15.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 0.0243 (b) 3 (c) -4 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 40 (c) -2\/9 (d) -0.1 (e) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:08 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l - 4. Let v be d(3). Suppose k + v*k = 0. Suppose 3*y = -2*u + 5, -u + k*y = -2*y + 15. Sort u, -3, 4.\nAnswer: u, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/7))**(-2\/9))**(-15\/4) assuming z is positive.\nAnswer: z**(25\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2128837123 + -4?\nAnswer: -2128837127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:41 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a - 42. Let b be (-185)\/(-35) + (-4)\/a. Sort b, -2, -5.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 170, 92, -8, -136?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(45) + (sqrt(45) - sqrt(135)\/sqrt(3)*3) + sqrt(45))\/(sqrt(9) - sqrt(18)\/(sqrt(4)\/sqrt(2)) - sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.112516.\nAnswer: 0.112516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-10))\/(369\/410). Sort -5\/11, -1, m in decreasing order.\nAnswer: -5\/11, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*o + 15 = -9, 8 = 2*o. Let y be 3 + 4\/6 + 7\/3. Let f be ((y\/(-15))\/((-2)\/(-10)))\/(-1). Solve -f*p = -3 - i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/432)\/(2\/(-36))*12\/7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9614027.\nAnswer: 17, 61, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 7*g + 2. Solve -g*c - 2 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {m: 1, g: 5, l: 8, y: 2, e: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 29) + (0 - (-7 + 2)) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + -6 + -10 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-71 + 107 - 56) + -53\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1706 + 2435 - 1200 + 2287)*(-2*t - 2*t**2 + 2*t)*(0*t**2 + 2*t**2 + 0*t**2) in the form b*t**4 + q*t + v + z*t**2 + c*t**3 and give b.\nAnswer: -20912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:36 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -11. Let s be 4 + 6\/g - -1. Suppose 0 = -s*p - 8 + 12. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/90 - (-2)\/5. Which is the biggest value? (a) 0 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*2\/2)\/(11\/(-22)) + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i + 4*i + 7*i + 1 + 2*i. Let v(m) = 5*m - 2. Let w(u) = -2*f(u) - v(u). Let q(o) = 8*o**2. Give w(q(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1157\/(-5) - 4\/(-10). Let u be 253\/i + ((-2)\/3)\/(-1). Which is the fourth biggest value? (a) -4 (b) -0.5 (c) 7 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 622, 256, -100, -440, -758, -1048, -1304, -1520?\n\"Answer: c**3 - c**2 - 370*c + 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**4 + 122316*t**3 + 1662437520*t**2 + 7533058222800*t + 15059467674000 = 0.\nAnswer: -13590, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 63.1, 0.3, 1\/10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45244745, 45244746, 45244747?\nAnswer: 45244748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2751.896 - -2728. Let o = a + 0.896. Are -4 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03711383 rounded to four decimal places?\nAnswer: 0.0371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i, -6*h - 5*i - 18 = -9*h. Solve h*l = 10*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1102\/8265)\/(1\/45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a micrometer in nanometers?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**5\/60 - o**4\/3 - 2*o**2. Let x be q(-8). What is the third derivative of -6*g**2 - g + g + x*g - 7*g**4 wrt g?\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 1\/5 (b) -1 (c) -6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2441 and 199349147.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6513.2 + -6514. Which is the fifth smallest value? (a) 2 (b) r (c) -1\/4 (d) -4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.695 - 0.693962. What is g rounded to 5 dps?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 3}. What is prob of picking 3 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21244 (base 8) to base 15.\nAnswer: -2963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*5\/(-10)*-2*901\/(-53)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4841127679 to 2 dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 65\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 - 80*j + 80*j.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*j + 3. Let s(q) = 13*q + 11. Let g be s(-8). Let w = g + 177. Calculate the highest common factor of w and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1353759, -1353612, -1353465, -1353318, -1353171, -1353024?\nAnswer: -1352877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**5\/160 + 3*k**4\/64 - k**3\/8 - 2*k**2. Factor c(w).\nAnswer: -3*(w - 2)*(w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-207)\/69*(-3)\/((-9)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24\/5, 330\/47, 2, 0.5 in descending order.\nAnswer: 330\/47, 24\/5, 2, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1386 divided by 6.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 2 - 2 + 150*j**3 - 202*j**3 - 10*j**2 + 15*j**2 - 3*j**3 + 3*j**3 + j**3 + (-3 + 1 + 3)*(2*j**3 - j**3 - 2*j**3) + 0*j**3 + 0*j**3 + 5*j**3.\nAnswer: -45*j**3 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0 - 1\/12*z**4 + 7\/2*z**2 + 3*z - z**3. What is the units digit of m(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -10) + 4 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9))**(-1\/4)*((s**(-1\/7)\/s)\/s)**17 assuming s is positive.\nAnswer: s**(-957\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154713474.\nAnswer: 2, 3, 1259, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/359784 and -71\/8874672?\nAnswer: 26624016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, 4\/319 in increasing order.\nAnswer: -3, -0.2, 4\/319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2009 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-155562.\nAnswer: 1088934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 5*a**2 - 8*a + 9. Let s(h) = -3*h - 6. Let b be s(-4). Calculate z(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112831 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740, 5426, 18104, 42758, 83372, 143930, 228416?\nAnswer: 340814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24419752 and 1589?\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 1. Let r(i) = -16*i**2 + 6*i + 100. Let n(u) = 4*c(u) + r(u). What is the first derivative of n(j) wrt j?\nAnswer: -32*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1641 and -0.0431.\nAnswer: -70.7271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 28 - 67. Let d = 23 + o. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -953\/2 + 503. Find the common denominator of -39\/16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - z - 1. Let o = 4 - 11. Let l be j(o). Let t be 2\/(-5) - l\/(-5). Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2. Let x be 678\/14*(k - -2). Let a = -49 + x. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:30 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 32*n**2 + 13*n + 2. Let h(o) = 15*o**2 - 4*o + 11*o - 44 + 45. Let x(q) = -3*c(q) + 5*h(q). What is the second derivative of x(r) wrt r?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/415 and -47\/35.\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24816 and 194439?\nAnswer: 34221264","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 3430304389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 10001233012221?\nAnswer: 10001233012223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 12:04 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.41343396 to 3 decimal places.\nAnswer: -7.413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v - 15*v + 21*v.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 - -60 - 38 - -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 9502335 = 3*n. Let h = n - -4667445. What is h rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 72*p**2 + 1466*p - 4361. Give r(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**4\/12 - a**3 + 13*a**2. Let y be -4 + -1 + (2 - 2). Let t(i) = -i - 4. Calculate y*j(v) + 7*t(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 35*z - 15. Let g(r) = 5*r - 2. Suppose 5*y - 11 = -1. Let u(l) = y*b(l) - 15*g(l). Let x(o) = 0*o + o + o. Determine x(u(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c + 3*x - 5 = 0, 2*x = 3*c + 9. Let k be (1 - (6 - 2)) + 0. Sort 1, c, k in ascending order.\nAnswer: k, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 r when four letters picked without replacement from {q: 8, r: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + 2. Let j = 2 + 0. Let s = 1 + j. Calculate the greatest common factor of s and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11576*i*n + 2*i - 2*n**3 + 19084 wrt n.\nAnswer: 11576*i - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18709562?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2246191 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1487202 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -641*j - 342.\nAnswer: -641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 13*q**2 - 17*q. Is z(11) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k. Let h(y) = -5*y**3 - y**2 + 7*y. Let w(x) = -d(x) + h(x). What is the second derivative of w(j) wrt j?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + 0 + 6 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-5))\/(-10) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.1 + 38. Let f = r + -2.7. What is the closest to 2 in f, -1, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*r**3 + 23*r**3 - 42*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1477 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/30 - n**4\/24 - n**3\/6 - 24*n**2. Factor j(f).\nAnswer: (f - 1)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 18 = 7*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1151.01 + 0.1.\nAnswer: -1150.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, k: 5, a: 2}. Give prob of sequence apkp.\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, 5, -6 in ascending order.\nAnswer: -6, 5, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgf when three letters picked without replacement from {k: 2, a: 1, b: 1, u: 1, f: 3, g: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 0*v + 0*v + (78*v + 9*v - 38*v)*(-5 - 2 + 0) to k*v + l and give k.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12002 = -1463*z - 978*z - 14058 - 78903 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 18*w**2 + 1 - 5*w**2 + 0.\nAnswer: -24*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 13. Let p be (-2)\/(-8) - (-5)\/q. Let d = 5 + -9. Sort p, -0.2, d.\nAnswer: d, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 875 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 130. Let v(h) = -2 - 1 - 4*h + a + 297*h**2 - 298*h**2 + 2. What is v(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-20)\/(-3 + 13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 4?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0 + -77 + -26. Let s = -11 - u. Let w be (-14 - -11)*(-13)\/3. Calculate the highest common factor of s and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2709*z + 2688*z + 2709*z - 10784*z + 2680*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1394486969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 20. What is the remainder when v is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163100, 652385, 1467880, 2609597, 4077548, 5871745, 7992200?\nAnswer: 10438925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 + 19 = -43*c. Let j(y) be the first derivative of 2*y**3\/3 - 3*y - 63. Calculate j(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15+1471238683\nAnswer: 1471238698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v = 3*j + 44, 5*j = 3*v - 77. Let m be 6 + (6\/16 - (-22)\/j). Sort 2\/11, 4, 55, m in ascending order.\nAnswer: 2\/11, 4, m, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c - 1, -4*p - 4*c + 76 = 0. Find the second derivative of -p*d**5 + 5*d + 28*d**5 + 4*d**2 - 7*d**2 wrt d.\nAnswer: 200*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 78*f**3 + 9645*f**2 - 50050*f.\nAnswer: -f*(f - 143)*(f - 5)*(f + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 63*m + 11. Let t(h) be the first derivative of -h**2\/2 + 110. Calculate x(t(b)).\nAnswer: -63*b + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.4 + 20. Let n = g + 6.4. What is the second biggest value in 0, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**19)**(-4) assuming r is positive.\nAnswer: r**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {l: 15, m: 5}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52729 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111444?\nAnswer: 2, 3, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306453432?\nAnswer: 2, 3, 19, 43, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s - 2. Suppose 9 = -l - 0*l. Let a be 2\/l - 553\/63. Let y(q) = -11*q - 5. Give a*j(p) + 4*y(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 142224 + -7075?\nAnswer: 133127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -582 = 30*a - 156 + 474. Sort -10, -1, a, -3 in ascending order.\nAnswer: a, -10, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1012567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -12*t. Let h(j) = -412*j**2 - 2*j. What is l(h(q))?\nAnswer: 4944*q**2 + 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 6*j**2 + 10*j - 7. Let h be i(7). Let m be (-2)\/7 - h\/(-49). Suppose 12 = w - m. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 12*s**2 + 11*s - 1. Let z be x(11). What is the remainder when 277 is divided by (4 - 11) + 10 - z*17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 1*2\/1. Suppose 3*m + s*m - 25 = 0. Solve -36 = -m*w - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4238123*o - 9. Let x(f) = -4*f. Determine q(x(s)).\nAnswer: -16952492*s - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 680 + -1628. What is t rounded to the nearest 10?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*g - 9 + 25, 2*r + 4*g = -8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 8.7944, -3, 1\/5?\nAnswer: 8.7944","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/506 + (-456)\/(-483). Factor c*o**2 - 9\/7 + 3\/7*o**4 - 12\/7*o + 12\/7*o**3.\nAnswer: 3*(o - 1)*(o + 1)**2*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*c**2 + 665*c**2 + 195*c**2 to n*c**2 + z + m*c and give n.\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -561 + 626. Let j(u) = -u**3 + 12*u**2 - 8*u - 8. Let y be j(8). Calculate the remainder when 39 is divided by y*5\/x - (-2)\/(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5122 - -313?\nAnswer: -4708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 12*n**2 - 15*n + 2. Let f be m(-13). Suppose 0 = q + 6*q - f. What is g in -g**3 + 12*g**2 - 15*g**3 - 228 + 6*g**q + 226 = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00762614277 to six decimal places.\nAnswer: -0.007626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 19*c = -2*m + 58, 5*c - 2*m = -136. Is c greater than -180\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from otttttttoo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 12. What is the third biggest value in -2, g, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*d**3 - 280*d**2 + 280*d**2 + 676*d**3.\nAnswer: 595*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 312.86 + -317. Let c = k - -0.14. Let z = 172\/9 + -176\/9. What is the closest to 0.1 in z, c, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*((5 + sqrt(2))*3 + -6*(sqrt(2) + sqrt(10)\/sqrt(5))).\nAnswer: -81*sqrt(2) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -393 (c) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948368088.\nAnswer: 2, 3, 139, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5004 = 54451*q - 54439*q. Suppose 0 = 4*w + 4*u - 220, 3*u - 245 = -4*w + 4*u. What is the remainder when q is divided by w?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 283934?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1539 * 99\nAnswer: -15.2361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2834 - 176. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -18*d + d**2 + 3 + 0 + 13*d. Give f(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933194707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 219, -20 in increasing order.\nAnswer: -20, -4, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -14*i**2. Let f(v) = 5*v + 14824. Calculate f(y(k)).\nAnswer: -70*k**2 + 14824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1618165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 77586 + 77739 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17629?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-810)\/(-195) + (-4)\/26. Let t(o) = 18*o**2 - 4*o + 9. What is the units digit of t(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -80*o + 6. Let d(w) = -16*w + 1. Let m(s) = 3*b(s) - 16*d(s). Let q(t) = -8*t - 1. Let n(c) = 3*m(c) + 5*q(c). What is the units digit of n(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-4)\/2 - 1. Suppose j + o - 5 = 0. Suppose -g + 19 + j = 0. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76210*-30\nAnswer: -2286300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000101010011110 (base 2) to base 10.\nAnswer: -68254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 32?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101275444?\nAnswer: 2, 25318861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 31\/92 - (-17)\/34*2\/(-4). What is the fifth biggest value in i, 0.4, 0.1, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338065*i**3 + 169242*i**3 + 169160*i**3.\nAnswer: 337*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 5*j**2 - 11*j - 1. Suppose -7*x = -x + 60. Let a be w(x). Let s = -131 - a. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1192, 1196, 1212, 1246, 1304, 1392, 1516, 1682?\n\"Answer: l**3 - 3*l + 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-140))\/18 + 8\/20?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -264, -536, -808, -1080, -1352?\n\"Answer: -272*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7838107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 688.7114 millennia?\nAnswer: 8264536.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 + -597 + (-251125)\/(-3100)?\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*j = -t + 191, -2*t - 47 = -j. Let o be j\/(-90) + 8\/24. Put 0.6, -0.3, o, -1 in descending order.\nAnswer: 0.6, o, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59844 * -1.6.\nAnswer: -95750.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-35) - 86*(-153)\/14. What is the highest common factor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*k - 2*d, k + 4*d = 3*d + 43. Let i be ((-15)\/(-2))\/(-5)*(-5)\/k. Let l = -9\/13 + i. Put 2\/7, l, -0.01, 1\/5 in decreasing order.\nAnswer: 2\/7, 1\/5, -0.01, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-44)\/(-10) + (-14)\/35 and -4*5\/(-4) + (4 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*v - 991952 = -35*v - 28*v. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/7, 36, -1\/15, -20, -0.2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 6*m**2 - 8*m + 7. Let q be g(7). Let u(x) = -x**2 + q*x**2 + x**2 - x**2. Let s(p) = 110*p. Calculate s(u(d)).\nAnswer: -110*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1928 + 0.29064. Let n = z - 0.098. Round n to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.48, -5, -2\/89?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) -6 (c) -540 (d) 3 (e) 0.16 (f) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217\/232 - -7\/116. Let n = k + 65\/56. Sort 0.4, 5, n in decreasing order.\nAnswer: 5, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 117?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 120 + 20 + w**2 + 33 + 18.\nAnswer: w**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -878*m + m**4 + 2*m**3 - 817*m + 1861*m - 2 to the form d + r*m**3 + l*m**4 + h*m**2 + s*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 15*d. Let a(u) = -69*u. Calculate a(j(h)).\nAnswer: -1035*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 1752445.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) 10 (b) -2\/3 (c) -3 (d) 2 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g + 5267 - 20123 - 12339 = 0. Sort -1, 3\/7, g, 0.5, -0.5 in decreasing order.\nAnswer: g, 0.5, 3\/7, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 a, and 1 v when four letters picked without replacement from ppdavdppppptpdprppdt?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 11*r - 2. Determine m(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 61347*h**2\/2 - 102531*h + 171363\/2 = 0.\nAnswer: 239\/143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k*(k\/k**(-15))\/k*k)\/k*k*k**(-9)*(k*k\/(k*k*k*k**(-2\/9))*k)\/k**(-11))**40 assuming k is positive.\nAnswer: k**(8000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(420) - (sqrt(420) + 4*sqrt(420)*2))\/sqrt(10))\/(sqrt(864) + sqrt(864)*-4*6))**2.\nAnswer: 28\/4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-7)*z*z*z**(-16)*z)\/((z\/((((z\/(z*z*(((z**(4\/5)*z*z*z)\/z)\/z)\/z))\/z*z)\/z)\/z))\/z*z\/(z*z**(-4\/15)*z)) assuming z is positive.\nAnswer: z**(-316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 226307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 130*y - 73109. What is d(560)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 329*u**2 + u + 1. Is m(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86644933.\nAnswer: 23, 271, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.4 + -7.4. Which is the closest to -16? (a) -2 (b) 2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -850925 (b) 6 (c) -0.2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -124066, -123718, -123370, -123022, -122674?\n\"Answer: 348*p - 124414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 86*x = 89*x - 5, x = -j + 3. Factor -12*p + 49\/3*p**j + 4\/3 + 109\/3*p**2 - 42*p**3.\nAnswer: (p - 1)**2*(7*p - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -282347\/11 - -25637. Which is smaller: x or -30?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3972 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018553509 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + (177 - 191).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59)\/1357)\/(5\/(-10))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 11*b**3 - 5*b**2 + 5*b. Suppose 0 = 3*z - 13 + 28. Let j(x) = x**2 - x. Give z*j(q) - p(q).\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 6. Let k be i(-11). Let a(g) = -g**3 + 17*g**2 - g + 22. Let t be a(k). Let x be 3 - (-1)\/t*-5. Sort x, 6, -3 in decreasing order.\nAnswer: 6, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 25. Suppose 347 = o*s + 2*h, -s + 268 = 3*s + 4*h. List the prime factors of s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.7549, 2.1 in decreasing order.\nAnswer: 2.1, -0.7549, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + r + 1. Let t be h(0). Let p(i) = -t + i**3 - 4*i**2 + 0 + 5*i**2. Let b be p(0). Are b and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from oloozovolooozp?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6121*u = 296259 + 231950 - 44650 for u.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166*r = -1127*r - 117 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4791.3158 to the nearest one hundred.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02460324 rounded to four dps?\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let d be 13\/n - (-3)\/6. Suppose -6*h + 5*f - 17 = -3*h, -3*h - f + d = 0. Is h less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(5\/6)*l*l)\/l*l**(-4\/3)*l)\/(l**(-1\/3)\/l**3))\/((l\/(l*l**(1\/2)))**31)**9 assuming l is positive.\nAnswer: l**(433\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/78 + -1\/13. Let l = g - -3\/10. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3489*q + 22. Is i(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let x = 8 + l. What is the remainder when 17 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/20 - j**4\/6 + j**2 - j. Let p = -5036 + 5036. Let r be y(p). Solve -r = q + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 8. Let v be k(9). Suppose 0 = -b + r - 16, 2*b = -3*b - 3*r - 56. Let i = b - v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -637 - -5?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 22*i**4\/7 - 130038*i**3\/7 + 192210926*i**2\/7 - 157152810*i\/7 - 34928100\/7 = 0.\nAnswer: -2\/11, 1, 2955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let r = 20.4 - 17.61. Let h = r + -0.79. What is the nearest to z in -1, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 2634804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 65*i - 194. Calculate n(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10021677671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (5 + -5 + 9 + -15 - -5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310 divided by -462?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3800)\/53865*-54*(-9)\/12?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d - 11. Let x = 2 + 6. Let z be t(x). Let o = -10 + z. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + x**3 - 4*x**2 - 4*x.\nAnswer: x*(x - 2)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49030 - -4.\nAnswer: -49026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:51 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 1480958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 6*k**2 - 2*k - 6. Let a be -1 - (-9 + (-3)\/(-1)). Let p be m(a). Which is smaller: p or 10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -w + 2*h - 5, -w + 6 = h. Suppose j - 60 = -2*t - t, 2*t - 48 = w*j. Suppose p - 22 - t = 0. What is the remainder when 128 is divided by p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127.5690959 - 127.563. Round i to 5 decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 7*k**2 - 8*k - 1. Let p be g(5). Suppose -174 = 7*b - p*b. What is the greatest common factor of 29 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**4*y + 12*r**3*y - 70*r**2*y - 20*r*y - 28*y wrt r.\nAnswer: -24*r**2*y + 72*r*y - 140*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226108.\nAnswer: 2, 56527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 670575, 670577, 670581, 670587, 670595, 670605?\nAnswer: 670617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 1 + 3*c + 2*c**2 - 3*c**2. Suppose -4*f + 3*a + 24 = -7*f, -4*f + 3*a = -3. Let z(v) = -v + 1. Calculate f*z(u) - p(u).\nAnswer: u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 41. Calculate the remainder when n is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199a01 (base 16) to base 12.\nAnswer: 68ab69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-3)\/15*(-50)\/15. Which is the smallest value? (a) 119 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 8*k - 8. Let a be ((-55)\/(-2))\/(-11)*(-16)\/(-10). Calculate the remainder when 21 is divided by i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c = -3*b - 447, 5*b = 5*c + 515. Let o = 107 + c. Which is greater: 51\/4 or o?\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508394866.\nAnswer: 2, 7, 36313919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*h + 2, -5*h = -h - b - 6. Suppose 5*d - 18 = -h*q, -8 = 4*d - q - 3*q. Suppose -5*p + 13 = -7, -d*i = -p - 6. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*g - 3*q - 69, -g = -5*q - 45. Suppose -g*t = -33*t + 30. What is the highest common factor of t and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 1116.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110439 and 283717791?\nAnswer: 283717791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-4)\/(-16) + (-130)\/8). Suppose -8 = -f*t + 17*t. Suppose -4*i - 6 = 2*n, 4 = -t*i + 3*i - n. Put -7, 0, i in increasing order.\nAnswer: -7, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 16. Suppose 3*m - 909 = -n*f, -f - f + 3*m + 441 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-1))\/((-14)\/4 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2264911456 - 1.47.\nAnswer: 2264911454.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6195 and 36262875.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-10))\/(40\/(-300)). What is the hundreds digit of (-6)\/(210\/(-15415)) - x\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7792207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3 - 374*s + 14*s**3 + 377*s - 9 - 3*s**2 + 15. Let k(g) = -224*g**3 + 49*g**2 - 49*g - 49. Calculate 49*f(j) + 3*k(j).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 20*j - 2. Let b(u) = -759*u + 77. Let a(t) = -t**3 - 10*t**2 - 98*t - 693. Let n be a(-7). What is n*p(s) - 4*b(s)?\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*s + 9 + 1, 7*s = -3*n - 5. Let j be (-9 - 21\/s) + 9\/10. Determine r so that j + 2\/5*r**2 - 2*r = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -282253, -8\/27 in ascending order.\nAnswer: -282253, -8\/27, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.1, 1.36, 2, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-21)\/o)**(-1\/2)*o\/(o\/(o**(2\/31)\/o)*o)*o\/o**(-5\/9)*o*o assuming o is positive.\nAnswer: o**(3521\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 748 + 205. List the prime factors of h.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide -74 - -6098 - (3 + 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2951570 + -1962451. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.8*0.8\nAnswer: -8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t**3 + 0*t**3 - 5*t**3 + (5 - 5 - t)*(-t**2 + t**2 - t**2) - 4*t**3 - 8 + 8.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 924516.7 litres in millilitres?\nAnswer: 924516700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**3 - 7*o**2 - 6*o + 7. Let p = -14 + 19. Let i(g) = 14*g**3 - 15*g**2 - 12*g + 13. Let s(z) = p*u(z) - 2*i(z). Is s(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646*h**2 - 638*h**2 + 585*h - 585*h.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1309574, 1309564, 1309552, 1309538, 1309522, 1309504?\n\"Answer: -k**2 - 7*k + 1309582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166 a factor of 1147275206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 464.5465 years?\nAnswer: 0.4645465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/5)\/(w\/(w\/(w\/(w\/(w\/((w\/(w*w**(-1)))\/w))))*w)*w*w))**(-2\/11)*((w**(-2))**47)**(-3\/10) assuming w is positive.\nAnswer: w**(1563\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/4 + (-9)\/(-3). Factor -1\/2*k + 0 - q*k**3 + k**2.\nAnswer: -k*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29226 + -27678. Solve 1522 = -13*x + u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, s: 2, r: 1, q: 3, m: 2, o: 1}. Give prob of picking 1 i and 1 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -54*r - 35. What is the hundreds digit of u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 5*z**2 - 6*z + 3. Let i be u(-6). Suppose -2*r - r + 23 = -2*b, -r = i*b - 4. Suppose 5*a = r*a - 64. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + (3*sqrt(30)*1)\/(1*sqrt(726)))*6)**2.\nAnswer: 432*sqrt(5)\/11 + 19044\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 357940*f - 357944.\nAnswer: 4*(f - 1)*(f + 89486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091533.\nAnswer: 83, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 3*c + 3. Let t(w) = -4 + 7 - 1 - 3. Let s(p) = b(p) + 3*t(p). Let g(k) = -k. What is 5*g(o) - s(o)?\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*a - 85*a + 56. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, -4, -10010 in decreasing order.\nAnswer: 15, 5, -4, -10010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -40. Put 1, d, 5 in increasing order.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 + m**2 - 6*m + 3. Let p(s) = -3*s**3 + 2*s**2 - 11*s + 5. Suppose 15 = d + 10*o - 13*o, 2*d + 2*o + 18 = 0. Calculate d*p(r) + 5*k(r).\nAnswer: -r**3 - r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*(-3 - -5). Let y be -1 + (x - (6 - 3)). Sort 4, y, 2 in descending order.\nAnswer: 4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(3 + 5) + -9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183352\/16770 - 1*3\/(-45)) + 16*2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 531\/2 >= -3110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -319 - -194. Let r = 190775 + -190650.119. Let m = k + r. What is m rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52209971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 9:57 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + (3 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 2}. Give prob of sequence nn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -613, 12, 2\/9, 4, -1\/3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 3*o + 27*o = 8*o + 5*t + 22, 0 = -3*o + 141*t + 834 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*t + 2*t**3 + 50*t)*(-t**2 + 0*t**2 + 0 - 2).\nAnswer: -2*t**5 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + -3 + (sqrt(1584) + -5*sqrt(1584)*2 - (3*sqrt(1584) + 2)))**2.\nAnswer: 228099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/27 and -2\/177?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 11, y: 1}. What is prob of sequence dy?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 2. Let b(o) = o. Let y = 571 - 570. Determine y*x(g) - 5*b(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.44839 - 8.52. Round r to 3 decimal places.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = g + 2*d + d, 2*g - 197 = -3*d. Suppose -f + 4*z = -0*f - g, -2*z + 172 = 2*f. List the prime factors of f.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - h - 3*h - 4*h - 2*h + 4*h + 0*h + 2*h + 0*h + (2 - 4 - 1)*(-h + h + h) + 0*h + 0*h - h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-33)\/77 - 2\/(-21))*0. Let q be 2*(3\/2 + n). Suppose -3*y + 2*y = 1. Sort y, -2\/13, q in ascending order.\nAnswer: y, -2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1\/5 (c) -1 (d) 17\/5 (e) 7505\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-3 + -5 - ((sqrt(170)*1 - sqrt(170) - sqrt(170))\/sqrt(10) - ((2 + sqrt(17))*5)**2).\nAnswer: 89*sqrt(17) + 520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58.271 - 58.6. Round l to two decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 9*s**2 + 2*s - 2. Suppose -5*r + 36 = -9. Let f be i(r). Let x = 18230 - 18230. Solve 3*b + f - 1 = x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 2*u**5\/5 + 30*u**4 - 124*u**3\/3 - 60*u**2 + 122*u - 110. Determine w, given that m(w) = 0.\nAnswer: -61, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**2 - 9*m - 5*m**2 - 10*m**2 - 7*m**2 as j + y*m + r*m**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -0.2. Let l be -1 + 5 - (4 + -4). Which is the biggest value? (a) r (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i + 4*p + 56, i + 2*p + 1 = 0. Let x be -2*(1 + 83\/(-2)). What is the greatest common divisor of i and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53e9 + 10a2?\nAnswer: -4347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28\/5? (a) 3\/5 (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 9 + 29 = 0. Suppose 0 = 4*r + v*c, -r - 12 = -c + 6*c. Solve -r*k - m = -11, 5*k - 5 - 4 = 3*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 y when three letters picked without replacement from lydllllldlyylldlll.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4889245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858376?\nAnswer: 2, 41, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 618180 - 203837. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -461 and -3235\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 195, 777, 1747, 3105, 4851, 6985?\n\"Answer: 194*q**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 655996811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -903, -901, -899, -897?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from srysrsyrrrspp.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -796 - -776. Let m(c) = -14*c - 188. Does 3 divide m(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2552 is divided by 195?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*k - 130. Let r = -446 + 490. Let a = r + k. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2*(4 + 2). Let h(b) = -b**2 - 6*b - 6. Let x(v) = -v**2 - 7*v - 7. Calculate t*x(n) + 7*h(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -73. Solve 8 = k - m*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31*(-37)\/17205*(-3)\/15*-3?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19127, 19003, 18787, 18473, 18055, 17527, 16883?\n\"Answer: -d**3 - 40*d**2 + 3*d + 19165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 35 = -5*n, 0 = -3*z + n + 7 - 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:59 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -557.4538 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5052658 and 208507.\nAnswer: 4849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152294 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d = -33*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 153.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 7:03 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2 + 0\/(-4) - (28 - 946)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = 3*z - 5*g, 3*z - g - 174 = z. Suppose 2*v = -4*h + 54, 3*h = 3*v - v - z. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdu when three letters picked without replacement from ugppdudupdudpdd?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157.4 + -157.3. Suppose 3*m + 18 = 3*n - 0*m, 3*n = -4*m + 11. What is the nearest to 1\/3 in n, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h = 47*h + 5*n + 180, -n + 524 = 3*h. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, -3, 9 in increasing order.\nAnswer: -4, -3, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**3 + 14*l**2 - 6*l - 7. Let j(h) = 3*h**3 + 10*h**2 - 4*h - 5. Let u(r) = -5*b(r) + 7*j(r). Let m(q) = -q**3 - q. Calculate -6*m(v) - 3*u(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90838, 2\/83, -3\/8 in increasing order.\nAnswer: -3\/8, 2\/83, 90838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011 (base 4) to base 16.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7\/2, 145, -0.1, -2\/11, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 10:35 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3793b + 3?\nAnswer: 3793e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 0*a**2 - a**2 - a**3 - 2*a - a**3 to q*a**2 + v*a + x*a**3 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 8, 292766 in descending order.\nAnswer: 292766, 8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0*t**2 - 2*t**2 + 14*t - 14*t. Let x(v) = 2*v + 4*v - 3*v. What is f(x(l))?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4081 = 4068 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -19*b**3 + 3*b**2 + 12*b + 41. Is 9 a factor of f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Let u be 5*2*k\/6. Suppose -u*f = -4*f - 14. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 3*r + 0*r)*(261 + 11 + 30)*(-2 - 1 + 1) in the form p + z*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8239 + -238866\/29. Is z at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 74935.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4378 + -4377.3. Is -18\/7 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 3*k - k)*(-88 + 88 + 15*k)*(k**2 + 1 - 1 + (-k**2 - 3 + 3)*(-4 + 3 - 1)) to the form t*k**2 + m*k**4 + a*k**3 + g*k + q and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 20. Let f be 2 + (-2 - -1) + -7. Let a = 12 + f. Calculate the greatest common factor of a and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126349524*o**3 - 64933354*o**2 wrt o.\nAnswer: 758097144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5*-1*11400\/(-1140)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2073358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 105 = 5*a - 111, 2*a + 7*v - 32 = 0. Suppose 11\/9*w + 0 - 1\/9*w**a = 0. What is w?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2452 - 7194 - 2475 = 404*m - 1213 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = -0*x + 3*z, x - 2 = -2*z. Let m(b) = -b**3 + 11*b**2 - 9*b - 13. Let f be m(x). Let y be 17400*((-120)\/(-4))\/f. Round y to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-39)*(-3)\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 93*r**2 - 581*r - 20032. What is b(-89)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from egghpjgggphpv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -15 + (-31 - -9 - (1 + -11)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/2)\/(v**(1\/12)*v))**30 assuming v is positive.\nAnswer: v**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4995, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43307765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Suppose -2*q = -3 + 7, 8 = d*u - q. What is the second derivative of 2*o**2 - 4*o**4 - 3*o**u + o**2 - 5*o wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 2*n**2 - n - 4*n**2)*(6 + 11 - 5) + 2*n**2 + 2*n**2 - 3*n**2 as g*n**2 + x + j*n and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 1, -16, -4, -25775, -2 in decreasing order.\nAnswer: 3, 1, 0, -2, -4, -16, -25775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1334 by -12.\nAnswer: -667\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11144.\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/28 - (-1770)\/472)*(-4 + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062100841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/6019512 and -31\/4206?\nAnswer: 4219677912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1185*a**2 - 241984*a + 241984*a.\nAnswer: 1185*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-102))\/(35\/119) - (-2697)\/(-5). Which is the fifth smallest value? (a) -1\/2 (b) 3 (c) v (d) 2\/11 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 5*u**2 + 5*u + 6. Let l = -2 - -5. Suppose l*f - 6*f - 12 = 0. Let n be p(f). Solve 0 = -3*c - 2*w - n, 4*c = -0*c + w + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 2*y**3 + 12*y**2 + 5*y**2 + 18*y**2 - 3*y + 12*y**2 to l*y + u + a*y**2 + s*y**3 and give a.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m = 0. Let h be (-2 - -2) + m + 29. Solve -2*f = -5*f + u + 14, 3*f - h = 4*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 268*g - 265*g. Let i be 8 - (11 - 6) - g. Which is the third biggest value? (a) i (b) -0.1 (c) -0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -5. Let t(n) = n**2 + 4*n - 1. Calculate the smallest common multiple of t(o) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 101. Let v = -38 - i. Which is the second smallest value? (a) 3 (b) v (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*b + 4 = -129*b - 8 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 16*g**2 + 59003*g - 177158. Calculate c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in 105, 4133, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3270583 * -1\nAnswer: 3270583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xon when three letters picked without replacement from npopjlllxjljopo?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*s**4 - 185*s**4 + 2 - 2*s + 94*s**4 + 3*s**2 in the form l + p*s**3 + u*s + v*s**2 + d*s**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from smhhrqm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 2)*(1 + -3). Let d be (-40)\/150*(-5)\/z. What is the nearest to 2 in d, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-4 - -2) - ((2 - 10) + 5)) + 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*i + 68 = 0, -2*v + 0*i + 2*i - 54 = 0. Let r(d) = -d**3 - 29*d**2 + 4*d - 44. Let s be r(v). What is the units digit of (3 - 0)*(s\/(-12))\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 113411?\nAnswer: 113403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*k - 48*k - 15. Let f(g) = -16*g**3 - 9*g**k + 8*g**3 + 5 + g**2 - 2*g**2 + g. Let y be f(-11). Round y to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 d when four letters picked without replacement from {d: 3, o: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -22. Let a(i) be the first derivative of -i**6 - 3*i**2 - 1 + 2*i**6 - 1 + n. Find the second derivative of a(r) wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 15. Let o(b) = -b - 16. What is -4*o(v) + 3*z(v)?\nAnswer: -2*v + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + 2*q)*(-2*q**4 - 2*q**4 + 3*q**4).\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2)\/(-7 + 6) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-14)*6 + (-7368)\/1120 and 44.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8244300 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trkwr. What is prob of sequence kwr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -4, 4, -2, 3, 36 in descending order.\nAnswer: 115, 36, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11516615 to 3 dps.\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 60033.24 hours?\nAnswer: 216119664000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - -0.6. Let l = s + 0.4. Let o be ((-9)\/(-6)*-2)\/(0 - -1). Which is the second biggest value? (a) o (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4*y = 12. What is the remainder when (-2)\/9 - (4389\/27)\/(-7) is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6*s**4 + 4*s + s**4 + 2*s + 2*s**3 + 6*s**4 + 2*s**4 + 2*s**2 to j*s**3 + g*s + a*s**2 + y*s**4 + o and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 7. Let z = -28.961 + -0.039. Let g = z - -29.5. What is the nearest to -1\/3 in g, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-27) - (-4277)\/819?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) 0.4 (c) -8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by (15 - 12)\/((-5)\/(-15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1122311?\nAnswer: 1122321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/(v*v**(-3\/5))*(v**(2\/13)\/v)\/((v\/(((((v**(-1)*v)\/v)\/v)\/v)\/v*v))\/v))**(-1\/68) assuming v is positive.\nAnswer: v**(-61\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 95.5274 years?\nAnswer: 0.955274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**3 - 2*c + 6*c**3 - 4*c**3 - c**3 - 11 + 3*c**3 - 2*c**2. Let u(b) = -7*b**3 - 5*b**2 - 5*b - 23. What is 5*q(y) - 2*u(y)?\nAnswer: -y**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(-4) + 2\/(-8). Suppose -18*c - 3 = -21*c - h, -4 = -4*c - 2*h. Sort u, -1, c, -25 in decreasing order.\nAnswer: u, c, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 3 + 3 + (a**2 - 2*a**2 + 2*a**2)*(1 - 1 - 1) - 11*a**2 - 10*a**2 - 9*a**2 + (-a + 2*a - 6*a)*(0*a + 3*a + 5*a) as j*a + s + o*a**2 and give o.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*k - 7095 = 3064 + 1393 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/(-4*(-10)\/(-28)) + 1 and 109\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*1*sqrt(57))\/(4*sqrt(3)*2).\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 810924 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, -14, -107, -304, -641, -1154, -1879?\n\"Answer: -6*y**3 + 2*y**2 + 11*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20200000020 (base 3) in base 12?\nAnswer: 63b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 669556 and 4686892?\nAnswer: 4686892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48099 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 15*r**2 + 15*r - 15. Let c be w(-6). Let j(l) be the third derivative of 0 + 1\/3*l**c + 0*l - 1\/6*l**4 + 15*l**2. What is j(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -39 (c) 268\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 8 + 6 - 3 - 2 + (3 + 1 - 5)*(6 - 2 - 2) - 7 + 10 + 17)*(0*a**3 - a**3 + 3*a**3).\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 391*k + 70. Let q be v(4). Let h = -1166 + q. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/1445 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 224*v + 3289. What is t(25)?\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w + 1. Let a(u) = -5*u**3 + 5*u**2 + 5*u + 26. Let r(n) = a(n) - 5*k(n). Let g(p) = -2*p**3 + p**2 + 4. Calculate -11*g(i) + 2*r(i).\nAnswer: 2*i**3 - i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(108)\/(sqrt(8)\/sqrt(2)) + (sqrt(972) + 2*sqrt(972) - sqrt(972))))\/(1*sqrt(144)*-1 + sqrt(144)*-2*-2).\nAnswer: 13*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*y + 5*p + 6 = 0, 0 = 3*y + p + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -212*o**2 - 279*o - 92*o**3 - 101*o**3 + 1179*o + 205*o**3 + 324 = 0?\nAnswer: -1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(500)*2 + sqrt(500) + (sqrt(500) - -4*sqrt(500))*3)**2 + (-2*2*sqrt(500)*5 + 4)**2.\nAnswer: -1960*sqrt(5) + 362017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1950 + -1950.2. Which is the closest to 2? (a) -1 (b) f (c) 18 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2.96. Let t = -0.44 - g. Let j = 0.2 + -0.5. Which is the closest to -2\/7? (a) t (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 6:34 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(72))\/(sqrt(448)\/sqrt(7)) + 0.\nAnswer: 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -5*g**3\/6 - 13*g**2\/2 - g - 481. Let x(l) = 5*l. What is x(k(c))?\nAnswer: -25*c - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176146703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-30)*5)\/(1*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + 44 + -30 + 23.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 478\/(-8) + 7\/(56\/6). Let w be (0 + 2)\/(6\/309). Let g = w + -163. Is g bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4*(sqrt(1053) + 1) - -1*(sqrt(1053) + 0)))**2*4 + 5 + 2.\nAnswer: 864*sqrt(13) + 37979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/2*(-351)\/(-117)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559862?\nAnswer: 2, 3, 19, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2400 + -0.330853172.\nAnswer: -2400.330853172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v. Suppose v = 3*n + n - 472. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 15*o - 675. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = j + 13, 0 = 5*u - 4*j + 33 - 43. Is -58\/35 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 39*m**2 + 387*m - 160. What is v(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -14*z**3 - 8*z**2 - 9*z + 19. Let w be b(-6). Let j = 4522 - w. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 30. Let t(m) = m**2 - 3*m - 1. Let r(b) = t(b) - z(b). What is the remainder when r(7) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 40786863448.\nAnswer: 40786863447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 195\/9 + 3\/((-18)\/4). Suppose 5*b - 64 = z. Calculate the lowest common multiple of b and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 459 = -b, -r = -2*r + 4*b - 140. Let k be r\/57*(-9)\/(-2). Is 3*4\/(-8)*k - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -16*q**3 + q**2 + 24*q + 52. Calculate h(-2).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -859\/11 + 78. Let l be 2 - (-2 + 2) - -3. Let q be 2 + 0\/l + -1. Is q greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -38955657*g**2. Let r(p) = 4*p**2. Determine r(s(m)).\nAnswer: 6070172849206596*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i + 0*i)*(3 - 3 + 4*i + (-85 + 12*i + 85)*(-15 + 12 + 11)).\nAnswer: 100*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.617 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49729 - 34760. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avvaaav. What is prob of sequence aa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1298*362\/(-170864)*(-7)\/(14\/(-96)).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, i: 3, d: 2}. Give prob of sequence iv.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, 15, -2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13026*t**2 + 20780*t?\nAnswer: -26052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.8 - 20.8. Let h be (0\/2 + -2)\/(-7). What is the nearest to u in 0, h, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946579 rounded to the nearest 1000?\nAnswer: 947000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -20. Let h(q) = -2 + 2 - 15*q - 4 - 1. Is 17 a factor of h(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2288648 by -547.\nAnswer: -4184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d - 37*d = -316. Suppose -d*o + 11816 = -150*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 - 5*k + 3. Suppose 0 = -4*t - 7 + 23. Let z(b) = 1 + 6 + 0*b**2 - 11*b**2 - 11*b. What is t*z(y) - 9*d(y)?\nAnswer: y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31276248 is divided by 1310?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**46*u**(-35\/6)\/u*(u*u\/(u*u\/((u\/((u\/u**(-5\/6))\/u))\/u))*u)\/(((u*u\/(u\/(u*u\/(u**(1\/30)\/u))))\/u)\/u) assuming u is positive.\nAnswer: u**(1121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*c - 6*c + 26, -4*g + 3*c = 29. Let j = g + 9. Suppose -j*x + 10 = -2. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61929 is divided by 3608.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 7845?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7846448.98 rounded to the nearest 10000?\nAnswer: 7850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -66. Which is the fourth smallest value? (a) -5 (b) -1 (c) q (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, -93, -179, -289, -417, -557, -703?\n\"Answer: n**3 - 21*n**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (148*n**2 - n**3 + 94*n**2 - 203*n**2)*(0*n - 3*n + n) to the form d*n**3 + p + h*n**2 + y*n**4 + l*n and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112210 (base 3) to base 8.\nAnswer: -617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-2)\/((-2)\/(-3)). Suppose 0*f - 3*f + 9 = -q, -m*q - 3 = -f. Solve -3*c + q*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 36. What is the remainder when (30\/8)\/(3\/12) is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5350*x**2 + 8*x + 6. Let n be h(-2). Suppose 51*j - n = 20*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551544120.\nAnswer: 2, 3, 5, 463, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44172 by -10666.\nAnswer: -22086\/5333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*q**2 + 7*q**3 + 68*q**2 + 0*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.18913 take away 1082113?\nAnswer: -1082096.81087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0 - 13\/8*z**4 + 23\/3*z**3 - 67*z**2 + 0*z. Find the first derivative of u(h) wrt h.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 1. Let m be o(-4). Suppose 2*j = -4*f + 4*j + 34, m*f - j - 44 = 0. Calculate the greatest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*a - 3*a, -2*d - 2*a = -87106 + 87092 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 6*n - 4. Let r be l(6). Let z be r\/(-10)*(6 + -1). Let v(h) = -h**2 + h + 2. Let y be v(z). Solve -u - 4*u + 25 = y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 0*j + 0*j**2 - 9\/20*j**5 + 23 - j**3 + 39\/16*j**4. Factor r(x).\nAnswer: -3*x**2*(x - 4)*(3*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -8. Let q(h) = -h**2 + 6*h - 4. Let c be q(t). Put c, -3, -1 in ascending order.\nAnswer: c, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77572, -310290, -698152, -1241158?\nAnswer: -1939308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5972, 6143, 6324, 6521, 6740, 6987, 7268?\n\"Answer: a**3 - a**2 + 167*a + 5805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -287265*d**3 - 4*d**2 - 43138.\nAnswer: -1723590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1701937.52 to the nearest ten thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/8*1120\/(-24). Let j be (56\/w)\/((-411)\/(-135) + -3). What is the highest common factor of j and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w + 80*w - 801 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 4*r - 5. Let x be l(-5). Let g = -22 + 27. Put g, 4, x in decreasing order.\nAnswer: g, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 5*w + 2*w)*(5 + 9 - 4) to v*w + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxyxfxyfxx. What is prob of sequence ffyx?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 1. Let l be o(6). Let y(a) be the second derivative of a**4\/12 + a**3\/2 - 3*a**2\/2 - 16*a + 150. What is y(l)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 0*m**2 - 19*m**4 + 2\/3*m**3 - 87 - 34*m. What is the third derivative of z(f) wrt f?\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 766282*l**4 + 487174*l.\nAnswer: 9195384*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -20*a**3 - 14*a**2 - 6*a + 2. Let n(w) = 7*w**3 + 5*w**2 + 2*w - 1. Let c be -92 + 71 - (-7 - 0). Give c*n(q) - 5*d(q).\nAnswer: 2*q**3 + 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2) + 18\/4. Suppose -5*t = -n + 6, 0*t - p*t = -3. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131*a**3 + 31*a**3 - 80*a**3 + (2*a + 0*a - 4*a)*(-4*a**2 + 4*a**2 + 2*a**2) - 3*a**3 - 3*a**3 + 5*a**3.\nAnswer: 77*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7491 and 33374.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 5:48 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69.42 + 70. Let v = -0.5862 + q. What is v rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/48 + (-1)\/(-4))*0. Let v = -2.4 - 0.6. Which is the nearest to w? (a) 0.4 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/3 - 2314*d**2 - 131930*d + 402734\/3 = 0.\nAnswer: -3413, -59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 2*d + 9. Let k be q(-7). Let t be k\/14 - 2\/14. Solve -4*g - y + 9 = -8, -t*y - 10 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225467 (base 8) in base 14?\nAnswer: 8b63d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(0 + (4 - 2)). Which is the closest to 0? (a) 1 (b) f (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -7\/2, -11, 12 in increasing order.\nAnswer: -11, -7\/2, 1\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/15)\/((-4)\/10). Suppose 0 = 4*q - i*a, -3*q + 4*a = q + 4. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 1\/90*s**6 + 0*s - 1\/6*s**4 + 0*s**2 - 11\/3*s**3 + 13 + 0*s**5. Let l(f) be the third derivative of p(f). Factor l(x).\nAnswer: 4*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*o**4 + 3*o**2 + 1 + 229*o - 4*o**2 + 12*o**3 - 233*o to the form u*o**3 + m*o**4 + l + s*o + p*o**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - ((-30)\/(-3))\/1. Let g be u\/55 - 304\/22. Let a be g\/(-8) - 1\/(-4). Which is smaller: a or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j + 7. Let i(d) = 6*d - 10. Let y(t) = 3*b(t) + 2*i(t). Calculate y(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -749*j**2 - 1643*j**3 + 1641*j**3 - 255*j**2.\nAnswer: -2*j**3 - 1004*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 0 - ((75 - 5) + -37)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m*t**5 - 1885*m*t**2 - 109*m + t**4 + 126*t - 1 wrt t.\nAnswer: -100*m*t**3 - 3770*m + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2*f**2 - 124*c*f**2 - f**2 + 181 wrt c?\nAnswer: 4*c*f**2 - 124*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 9545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(0\/(-3) - 2). Let s be (-5)\/(-30) + (-1)\/q. Suppose s = 3*o - 125 + 5. What is the remainder when o is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from lllallhllljjljhj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15910 and 555.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/5 + 832*m + 147168\/5 = 0. Calculate m.\nAnswer: -2044, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/8, 0.1, -28, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**2 - 27*q + 27*q.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -14*g**3 - g**2 - 3*g - 5. Let l(j) = 12*j**3 + j**2 + 4*j + 4. Determine -4*a(s) - 5*l(s).\nAnswer: -4*s**3 - s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0 - 1\/120*n**6 + 1\/6*n**4 + 0*n**5 + 0*n - 4*n**2 + 0*n**3. Find the second derivative of w(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5719 - 4048. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48*0.06\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**4 - 6213990*i**3*s**2 - 68*i**2*s**2 + 13988*i**2 - 2*i*s - 2*s wrt i.\nAnswer: 24*i - 37283940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**2 + 11*i**2 + 18*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 7 (c) 1036 (d) 0.2 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2 + 4. Let a(l) = -l**2 - l - 1. Let f(p) = p**3 - 4*p**2 - p - 4. Let o(q) = 3*a(q) - f(q). Give o(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 2, x: 1, q: 1, z: 2, d: 1}. Give prob of picking 1 x and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 0, 5, -22, 13 in ascending order.\nAnswer: -22, -7, -1, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.4 + -12.01. What is k rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1306, -2739, -4160, -5563, -6942, -8291, -9604?\nAnswer: -10875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3015 and 50641749.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lal when three letters picked without replacement from {a: 1, l: 2, x: 6, i: 1, z: 5}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1267, 1780, 2293, 2806?\n\"Answer: 513*f + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291 and 225331?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxjcxxxjjxwjjwwjwjw. Give prob of picking 2 x and 1 w.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587 + 2068 = -5*v. Let o(j) = -7*j + 423. Let z be o(59). Let g = z - v. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371764 (base 15) to base 12.\nAnswer: a72434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.42 + 0.12. What is the closest to 1 in -2\/5, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62 - 27*n - 27 + 117*n wrt n?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0046558114 rounded to 5 decimal places?\nAnswer: -0.00466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1276*w - 6. Let x(q) = -638*q - 3. Determine 5*l(i) - 11*x(i).\nAnswer: 638*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 9. Let n be z(-2). Does 12 divide n + 87 - (-33)\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20740447 divided by 91.\nAnswer: 227917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -891*l**2 + 335*l**2 + 298*l**2 + 310*l**2.\nAnswer: 52*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 6 = -6*k. Is k*(-3)\/(6\/(-1381)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - t = 0, 0 = 2*g - 6*g - t - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4 + 0*i + i + 0. Let l be t(7). Solve 0 = l*o + s + 14, 0*s + 11 = -2*o - s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8847769571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 13 - (1 + (-8 - -5))) + 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.4, 4, 6 in decreasing order.\nAnswer: 6, 4, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 4*q + 12 = 4*n, -4*q - 4*n - 28 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 2\/11, -47.52446?\nAnswer: -47.52446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 16.52\nAnswer: 115.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 + 142 - 70*m**3)*(5*m**2 - 3*m**2 - m**2) - 146*m**5 + 2*m**2 - 3*m**2 + 155*m**5.\nAnswer: -61*m**5 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -0.4, -0.035, 37720 in decreasing order.\nAnswer: 37720, 127, -0.035, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 14 - (2 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35, -58, -45, 22, 161, 390?\n\"Answer: 3*o**3 - 44*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 12 = -30. Suppose -u*s - 5*a = 1499 + 379, -3*a - 2515 = 4*s. Let w = 1322 + s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122835 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -960192*f**3*s**3 - 3*f*s**2 + 27*f*s + 14*s**3 + 4 wrt f?\nAnswer: -5761152*f*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9580931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4 + 66. Suppose -5*k = -k - 140. Let f = -30 + k. Solve f*v - s = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10505727*t**6 - 472*t**2 - 187 wrt t?\nAnswer: 1260687240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2203 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034056291 to seven decimal places.\nAnswer: -0.0000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (46 - -15)) + 91.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 2. Let x be h(-7). Let j be (1 + (-1 - 1))*x. Suppose 8 - 3 = -j*q. Is q not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2726 + 2722. Let n be ((-12)\/(-10))\/((-4)\/20). Is (t\/n)\/(-5*(-5)\/18825) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 69 = 6*k - 7, 4*k = 2*s - 4 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 2*b - 2. What is the units digit of s(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4249 - 4252.962. Let r = -0.038 + s. Which is the smallest value? (a) -2\/9 (b) r (c) -3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52331.12 meters to millimeters.\nAnswer: 52331120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400162185?\nAnswer: 3, 5, 8892493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 8) in base 14?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y**2 + y - 42. Determine t(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001833 rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39704 is divided by 6572.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (30 + -32 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 3, -59, -44, 2 in increasing order.\nAnswer: -59, -44, -9, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 10) to base 2.\nAnswer: 10001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b12a36 (base 12) to base 8.\nAnswer: 12424112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -228*x**2 - 249*x + 6. Let z(v) = v**3 + 227*v**2 + 240*v - 4. Let f(b) = -2*w(b) - 3*z(b). Factor f(j).\nAnswer: -3*j*(j + 1)*(j + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n - 5*u - 20 = -32*n, 4*n = -3*u + 11. Solve 0*s + 2 = -2*s + 2*c, n*c - 29 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -144*t + 3. Let r(d) = 143*d - 5. Calculate 3*p(v) + 2*r(v).\nAnswer: -146*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3376333, 3376323, 3376313, 3376303?\nAnswer: 3376293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 3*v - 3. Let x be f(-3). Let z be 10\/2*x\/10. Let h = z - 3. Solve h = -4*o + 1 - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63620 is divided by 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 155\/10 + (-1)\/(-2). Let i = 19 - h. Suppose -21 = -i*p + 21. Calculate the highest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/((-5)\/15 - -1). Is 3\/80 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -5, 2, -22.3, -2.8, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 373, -1, 99, -3 in ascending order.\nAnswer: -3, -1, 99, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 84 = -178*b + 184*b, 4*j + 4*b - 80 = j for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 164ab?\nAnswer: 164a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95319904 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 965158 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*12\/4 + 5. Suppose -f + 4 + p = 0. What is the remainder when 14 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 676 - 672.43. Let n = 3.71 - f. Which is the third smallest value? (a) 2\/7 (b) 3 (c) n (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 8 + 7 - 34) + 163 - (-1 + 17)\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/7 - 243829620*t\/7 + 4954406965778700\/7.\nAnswer: 3*(t - 40638270)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m + 340. Let d(i) = 68 - m - i. Let k(a) = -1. Let l(x) = -x**2 + 7. Let u(s) = 14*k(s) + 2*l(s). Give d(u(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 2. Let p = -7 - -10. Suppose -p*s - h = 2*y, 3*y - y - 5 = -5*s. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -15*l - 57. Let s be f(-6). Suppose 42*t = 53*t - s. What is the closest to -0.1 in -3\/8, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8212 - -8215. Suppose w = -0*w - 1. Let k = 2 - 1.5. What is the nearest to w in k, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 12 = -4*w. Solve d = w*d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(8)*-1) - sqrt(3) - (1 + sqrt(12)).\nAnswer: -4*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -986, 2, 4, -2, 30 in decreasing order.\nAnswer: 30, 4, 2, -2, -986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (42 + (-50 - -6)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*l**3)*(-8 + 10 + 6).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-120)\/20 + -9 + 38. Solve 3*g - n = -4*t, g - 3 - 3 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - -4*(1*sqrt(110) - sqrt(110)) - (sqrt(110) - 2*sqrt(110)*-2 - sqrt(110)))\/(6*(sqrt(1440) + sqrt(1440)*-2 + sqrt(1440) + sqrt(1440))).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172738457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11022*h*v**2 + 3*h - v + 2596 wrt v?\nAnswer: -22044*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - l - 29 + 0*l)*(-4*l**3 + 3*l**3 + 2*l**3).\nAnswer: -l**4 + 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-143)\/13)\/((-2)\/4). Calculate the highest common factor of 33 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2043 - 2404023?\nAnswer: -2410110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 363 + -6173\/17. Let p = -9 - -8.7. Which is the third smallest value? (a) -1 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + y - 2. Let a be j(2). Let k be 2\/(a\/4) - 1. What is the third biggest value in 0, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) -4 (c) 8\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 385695374 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2 - 13509*m + 13512 = 0 for m.\nAnswer: -4504, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -22. Suppose n = w - 10 - 7. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -0.0168?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Let u be (2*o)\/2 - 1. Let g be (-240)\/24 + 1\/5*35. Sort u, -4, g in ascending order.\nAnswer: -4, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:16 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -3a04?\nAnswer: 3a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 23, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 2*a**2 + a + 2. Let d be g(-2). Let f(v) be the third derivative of 0*v**3 + 0 - 1\/12*v**4 + d*v + v**2. Let r(s) = s. Calculate f(r(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/392562?\nAnswer: -1\/392562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2733\/2*v + 2489763\/2 + 3\/8*v**2 = 0. What is v?\nAnswer: 1822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -97567.658 and -2.\nAnswer: 195135.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (46\/16)\/((3 - -51)\/432).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {v: 5, l: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - b**3 - 5*b**3 - 70*b**2 + 2 + 7*b**3 + 51*b**2 to the form g*b + v*b**2 + p + t*b**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**3 - 3890*v**2\/7 - 51014*v\/7 - 3624\/7 = 0.\nAnswer: -12, -1\/14, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-18 + 7)) + 44. Suppose 0 = b - 3*f, -25*b - x = -29*b - f. Calculate the remainder when 286 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0126 to four decimal places.\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/588 and 3\/13573.\nAnswer: 162876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 2*t + 2. What is n(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 18*n - 542. Calculate b(16).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by -12\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -5. Let w = o + -28. List the prime factors of 0 - (w\/(-8))\/(3\/(-156)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide (200 - 203)\/(6\/(-54764))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((3 + (3 + sqrt(7) + 1 - (sqrt(7) + sqrt(7)*1 + sqrt(7) + 5))*-3)*-2)**2 + 5).\nAnswer: 864*sqrt(7) + 3471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -41, -50, -41, -8, 55?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 82. Suppose 4 = -z*s, -5*s - 1 = t + 1. Suppose t*b - 680 = -112. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*u - 263*u + 1824 = 220*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16)\/(98865\/12168).\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 - i**5 - i**5 - i**5 - 2*i**5 + 4*i**5 + (-4 + 4 + 2)*(2 - 2 - 2*i**5) - i**3 - 794940*i**5 - i**3 + 794879*i**5.\nAnswer: -63*i**5 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(1 - 0 - 0). Let x = t - -6. Suppose 3*l + 120 = x*l. Calculate the remainder when 95 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246635119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1410604.\nAnswer: -5642416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 247*h + 1537. Calculate the lowest common multiple of 1379 and a(126).\nAnswer: 15169","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93444.5nm in kilometers?\nAnswer: 0.0000000934445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 5*d**2 + 3*d + 6. Let k be v(5). Let m be 1 - -2 - 72\/k. Which is the smallest value? (a) m (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-120)\/72)\/(1\/(-3)). Let k(l) = 2*l**2 - 7*l - 7. Let m be k(o). What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - 87. Suppose -11*v - 25 = -f - d*v, -4*v = 4*f + 20. Solve -4*y + 20 = 4*b, -b = -f*b + 3*y - 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 19*g + 22. Let h be t(-24). Let f be 11 - 8 - (-5)\/((-5)\/h). Let q = f + -25. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/9 - 1276*y**3\/9 + 59224*y**2\/9 + 2255344*y\/9 - 1579136\/3 = 0. Calculate y.\nAnswer: -26, 2, 78, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 127863 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 2093988966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*p = o + 356, -2*o + 4*p = -184. Suppose 95*j = 99*j + 204. Let r = o + j. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976331?\nAnswer: 47, 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -3371.\nAnswer: -11\/3371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -14*j + 43. What is k(6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 31, 45, 61?\n\"Answer: z**2 + 9*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9654.372 hours?\nAnswer: 34755739200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**4\/24 + 2*v**3 - 11*v**2. Suppose 49*q - 102 = 55*q. Let m be q\/85 - (-36)\/5. Give t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1eb (base 16) to base 3\nAnswer: -200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32\/17 - 211\/85. Suppose -115*t - 43 = -112*t - 5*z, 5*t - 4*z = -37. Which is the smallest value? (a) 1\/3 (b) 0 (c) r (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4771 - 217696\nAnswer: -222467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 182273, 364632, 547097, 729674, 912369, 1095188?\n\"Answer: x**3 + 47*x**2 + 182211*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-1)\/(-1) + -2). Suppose o - 43 + 41 = a. Suppose 5*m - 920 = 3*h, -m - 7*h = -o*h - 184. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*n**3 + 49*n**6 + 1086*n**2 - 1417*n**2 - 16*n**5 - 995*n**2 - 55*n**6 - 1201*n**2 wrt n.\nAnswer: -720*n**3 - 960*n**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 97201951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4026550 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiazgzj. What is prob of picking 1 a and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8029, 16049, 24067, 32083, 40097, 48109, 56119?\nAnswer: 64127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = -s. Suppose -s*p + 56 = 4*n, 4*n + 3*p - 52 = -p. Suppose -3*i = -n - 9. Calculate the least common multiple of i and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, w: 1, d: 1, v: 2, k: 1, o: 1}. Give prob of sequence wpk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -65?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2. Let h(m) = -38*m**2 - m + 8. Calculate -2*h(c) - 22*n(c).\nAnswer: 10*c**2 + 2*c - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*d = 0, 4*d = -5*y + 10*y - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3925.4572*0.3.\nAnswer: -1177.63716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8624 - 3*i + 582 - 7*i - 11*i.\nAnswer: -21*i + 9206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-5)*(-6)\/4*199\/1194*18?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(396) + sqrt(396)) + 4 - 4*(2 + sqrt(396))*3)**2*-6.\nAnswer: -610656 - 23040*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 224*y + 1810 - 466 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2737 - 581. What are the prime factors of b?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -4607781\nAnswer: 64\/4607781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129 or 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**2 + 47*v. Let l = -1735 - -1729. Let u be p(l). Let s(c) = 0*c**2 + c**3 - 5*c**2 - 5*c - 2 - 6. Determine s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 + -7 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525683723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3 + 7704285*p**2 - 3*p + 632630828 with respect to p.\nAnswer: 3*p**2 + 15408570*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1029*b*o**2 + 20411*b*o*p**3 - b + 14590*p**3 + 252 with respect to o.\nAnswer: 2058*b*o + 20411*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -231 + 237. What is the third derivative of 5*l**4 + 3*l**6 - 9*l**6 + 3*l**z - 10*l**2 - l**6 wrt l?\nAnswer: -480*l**3 + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((-32)\/216)\/((-24)\/3060*5)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*a - 15, a = 2*a - 2*q - 5. Let c = 59 - 37. Suppose 21*b = c*b + 3. Put -2, b, 35, a in decreasing order.\nAnswer: 35, a, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n\/(n\/(n\/n**(2\/7)*n*n)*n))\/n)*n*n)\/n)**(-2\/9)*(n\/(n**(-2\/5)*n))**(4\/19) assuming n is positive.\nAnswer: n**(-2536\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 15. Let r be p(9). Suppose 0 = -0*i + r*i - 66. What is the lowest common multiple of 12 and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100 (base 2) in base 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*y + 2491850 - 2521642 = 0 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, -33, -140, -301, -510, -761?\n\"Answer: j**3 - 36*j**2 + 54*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312 (base 4) to base 13.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1638296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*d + 4078 = 0, -3*k - 4062 = -8*k + 4*d. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**3 + 5*l**2 - 7. Let a = 5665 - 5678. Let j(v) = -11*v**3 - 11*v**2 + 14. Calculate a*y(q) - 6*j(q).\nAnswer: q**3 + q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90.209 - -0.709. Let j = p + 80.5. Suppose 3*r + 16 = 4*v, -r + 3*v = -0*r + 7. Which is the third smallest value? (a) r (b) 2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 p, and 2 v when four letters picked without replacement from qvdvdvpqdvd.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Suppose 0 = -7*u + 3*u + 3*k - 186, 182 = -4*u + k. Let a = u + 43. Sort q, 2, a.\nAnswer: q, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -14*n**5 + 160*n**4 - 528*n**3 + 324*n**2 + 702*n - 324 = 0.\nAnswer: -1, 3\/7, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15544584*q**3 - 5482*q**2 + 1373.\nAnswer: 93267504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/21965 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 1, h: 1, s: 2}. Give prob of sequence shsq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006301404 rounded to 5 decimal places?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 4 - 4.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/39525 and -38\/5072475?\nAnswer: 2673194325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16989 - 3636 = -29*u + 21338. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -6*h + 27. Let q be (h\/(-1) - 6)\/(-3). Solve 6 + q = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -0.1. Suppose k = 4*k - 5*x - 12, 0 = 2*k + 3*x + 11. Put k, l, 2\/7 in descending order.\nAnswer: l, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 3*c, 26*x - 25*x + 5*c - 18 = 0. What is the units digit of 1528 + -5 + x + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z. Let r(h) = 6*h. Let g be -31 - (-1 + 0 - 1). Let d = 36 + g. What is d*k(t) + 3*r(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 207324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + (-2)\/((-120)\/468))\/(104\/(-1170))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 + 139. Calculate the least common multiple of 7\/(14\/x) + -2 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 11) to base 3\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*n - 0. Suppose -4*x - 2 + n = 0. Is 46\/(-3)*(-3)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1133 and 18643.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -52. Calculate the highest common divisor of s and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -30*x**2. Let k(j) be the third derivative of -5*j**4\/24 + 11*j**2 - 8*j. What is s(k(g))?\nAnswer: -750*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x - 7*x**2 - 3*x + 6*x**2 - 5*x wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**6\/8 - m**5\/4 - 19*m**4\/8 - 9*m**3\/2 - 29*m**2\/8 - 5*m\/4 + 24. Let d(u) = 0. Calculate u.\nAnswer: -1, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4991, -9993, -15009, -20045, -25107?\n\"Answer: -d**3 - d**2 - 4992*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p - 0*p. Let c = 84 + -79. What is the second derivative of 3*d**5 - 4*d - 5*d**c - p*d**5 + 9*d wrt d?\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-78))\/(3*2). Let r = -125\/468 - t. Let s = 2.0371 + -0.0371. What is the closest to r in 5, -6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a + a. Suppose a*m + 4*m - 380 = 0. List the prime factors of m.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4599, -9148, -13697, -18246?\nAnswer: -22795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1299, 2632, 4011, 5460, 7003, 8664, 10467?\n\"Answer: 4*y**3 - y**2 + 1308*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 3)*8\/6. Suppose 0*d - o = 4*d. Let n be (-3)\/9 - d\/3. Which is the nearest to 0? (a) 1 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 523*v**2 - 2077*v - 11. Give w(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 9. Find the second derivative of 2*r**n - 3*r**3 + 2*r**3 - r wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 38 = -4*r, -47242*v + 47243*v = -4*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -457000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 839*f - 5859. Let t be n(7). Put -1, -14, t, -3 in increasing order.\nAnswer: -14, -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -3*k - 15. Suppose -4*l + 4 = 0, 5*z - 2*l = k*z + 2. Determine m so that 0*m - 8*m + z*m + m**2 + 2*m + 4 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55702 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.45 + 0.45. Suppose -4*n = 2*u - 10, 387 - 402 = 2*n + 5*u. Which is the third biggest value? (a) p (b) n (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/((-40)\/(-60))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 669, 654, 615, 540, 417, 234, -21, -360?\n\"Answer: -2*p**3 - p + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14067 + -7213. List the prime factors of b.\nAnswer: 2, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - w + 12. Let o be t(0). Solve 3*q = -o + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - c**2 + (3*c**2 + c**2 - 5*c**2)*(-3 + 1 + 4) + 0 + 0 - c**2 + (1294 + 141 - 48)*(6*c**2 + 0*c**2 - 5*c**2).\nAnswer: 1383*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-27)*f*f\/(f**(-14\/9)*f))\/(f**(-1\/15)\/(f**(-3)*f)) assuming f is positive.\nAnswer: f**(-1142\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 12*d. Let t(w) = -2198*w**2 - 2186*w**2 + 4376*w**2. Give x(t(h)).\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 506718 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -994151, -994160, -994169, -994178, -994187, -994196?\nAnswer: -994205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (98\/20 - 4)*9 and (2\/8)\/((-1)\/118).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8381085 divided by -493005.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40448 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 50*p + 329. Calculate d(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 151.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d**3 - d**2 + d. Let x(a) = a**2 - 5*a + 5. Suppose 0*i - 3*i = -18. Suppose -i*j + 2*j + 16 = 0. Let n be x(j). Calculate f(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2923*j**2 + 3144*j - 21. Let d(z) = 4385*z**2 + 4715*z - 30. Let h(u) = 7*d(u) - 10*s(u). What is the second derivative of h(l) wrt l?\nAnswer: 2930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 8543726048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 1. Let d(n) = n**2 - 18*n + 12. Let y be d(17). Let x(z) = -3*z - 5. Give y*a(p) + x(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5108\/27973 + 2\/2543. Which is the nearest to 3\/2? (a) 3 (b) r (c) -21 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59377.\nAnswer: 59377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1101909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1124*t + 66 = -1131*t - 11 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 18. Calculate the lowest common multiple of d and 2\/4 - (-15)\/2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2*b**2 + 2*b + (-18 - 8 + 8)*(2*b**2 - 5*b**2 + 2*b**2) - 2*b**2 + 4*b**2 - 4*b**2.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -30*i**3 + 17*i**2 + 17*i + 17. Let r be ((-72)\/15)\/2*(-220)\/88. Let y(u) = -5*u**3 + 3*u**2 + 3*u + 3. Calculate r*f(d) - 34*y(d).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(286\/40) + -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*c**4*v - 223*c**2*v**2 + 6*c*v - 2*v**2 - 948 wrt c.\nAnswer: 996*c**2*v - 446*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024760974 to 7 dps.\nAnswer: -0.0000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let g(b) = -15*b**2 + 20*b. Let i(d) = -16 + 10 - d + d**2 + 6. Let y(h) = -g(h) - 20*i(h). Give y(q(v)).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 677103325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -219 + 218.9847. Let r = -0.016514 - z. What is r rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.12?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -348338564294 + -0.005?\nAnswer: -348338564294.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-6))\/(459\/(-243)))\/(((-45)\/20)\/9).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor 75*j**3 - 297585*j**2 + 1427112*j - 1712016.\nAnswer: 3*(j - 3963)*(5*j - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p + 10. Let z(a) = -14*a - 29. Let l(j) = 11*y(j) + 4*z(j). Let h be l(-3). Let w(t) = -4*t + t - 1 + 5 - 1. Calculate w(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -79\/26373 (b) 2 (c) -0.02 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 15*n - 26. Find the third derivative of -24*c**4 - 17*c**n + 16*c**5 + 10*c**4 + 14*c**4 wrt c.\nAnswer: 960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -8, -5, -2287.\nAnswer: -2287, -8, -5, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 8*b + 15 = 0. Suppose -5*p = b*t - 110, -5*p = t - 4*t + 50. Solve -2*l + t = 5*r, -4*r - 3*l - l + 28 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 + 40*c**2 - 17*c + 29. What is the tens digit of f(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*j**5 + 22*j**4 - 4*j**3.\nAnswer: -2*j**3*(j - 1)*(9*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 25*f**3 + 10*f. Let y(n) = 8*n**3 + 5*n**2 + 3*n - 5*n**2. Let m be (5\/(3 + -18))\/((-13)\/(-117)). Give m*z(l) + 10*y(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443 divided by -2.\nAnswer: -443\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 15594.4, -19, 16?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49, 47, 45, 43, 41, 39?\n\"Answer: -2*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 35 = -2*f. Let z be 436\/10 + 2\/5. Let x be f\/z + 2\/(-8). Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/17, -1\/2, 0.27, -5, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1923 + 3001. Which is smaller: 1077 or w?\nAnswer: 1077","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*q - s, -2*q - 3*s + 8 = -0*s. Suppose 0 = 5*i - 3*x + 11, 8*x = 4*i + 12*x + 28. Put i, -6, q in ascending order.\nAnswer: -6, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*l**3 - 466*l**3 + 228*l**3 - 1095*l**2.\nAnswer: l**3 - 1095*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1426 - 1277 = -17*b. What are the prime factors of b?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 d when three letters picked without replacement from {y: 5, u: 8, j: 1, d: 4}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3246520 to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -8) + 2 + -8 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 29465*o + 117844.\nAnswer: (o - 29461)*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 428045.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13122 in -0.3, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 7728672?\nAnswer: 7728672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, n: 5, g: 1}. Give prob of sequence onno.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. What is the lowest common multiple of (2 - o - 0) + 8 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*b - 11*b + 213*b + 214*b - 617*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 94.1. Let f = -48.9 - d. Let k = f + 39.999983. What is k rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1463689513.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*j - 2 = -0*y, 8 = 2*y - j. Let u be y\/(9\/3) + 1. What is the third derivative of 0*g**3 + 0*g**3 - 2*g**2 - u*g**4 wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 6*q**3 - 7*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7860350 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 - 114. Calculate the remainder when b is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 2.6. Let l be (8 - 2 - 2) + 16. Let a be 0 + 68\/l + -4. Put -1\/2, m, a in decreasing order.\nAnswer: m, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -45, 1158\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 24, 1\/5, -2\/3, -57 in increasing order.\nAnswer: -57, -2\/3, 0.1, 1\/5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10575, 10641, 10759, 10947, 11223, 11605?\nAnswer: 12111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-56))\/(36255\/(-48340)).\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/2)\/(30\/885) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c - 30 = 40*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i. Let l(u) be the second derivative of u**4\/3 + 261*u. What is t(l(o))?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 10, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*f**2*z - 1614*f**2 + 4929*z + 35 wrt f.\nAnswer: -66*f*z - 3228*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32652 and 4032.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (765\/(-27) + 29)*49\/(-14)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2 + 15448*o - 14915044 = 0.\nAnswer: 1931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51953*l + 7700 wrt l.\nAnswer: -51953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76233 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/9 + -107\/126. What is the nearest to 0 in -0.2, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3152363 (base 7) in base 4?\nAnswer: -1131122231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33341196 rounded to 3 dps?\nAnswer: -0.333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (138120\/(-480))\/(2\/(-136)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -289, 0, -3, -2, 5 in decreasing order.\nAnswer: 5, 2, 0, -2, -3, -9, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c. Suppose 5*n - 3*l - 13 = 0, -6 = 4*n - 6*n + 2*l. Let p(q) be the first derivative of 100*q**2 + 97*q**n - 198*q**2 - 9. Determine a(p(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 4:28 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1154 - 388. Calculate the common denominator of 9\/8 and y\/120 - 1\/3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*x - 5*n, 18*x + 5*n + 30 = 14*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*n - 7 = -272*n. Solve 0 = -5*f - 5*r - 5, f - n = 3*r - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, j: 3}. What is prob of picking 2 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 126841 and -411.\nAnswer: -52131651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qggg when four letters picked without replacement from {q: 3, g: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18169 - -18169.30876. Let h = -238.29876 + w. Let q = h - -237. Round q to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*c + 26, 5*b = c - 6*c + 40. Suppose -c*w = -8*w + 225. Do w and 225 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -1.485, 0, 4, -1, 0.336?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 3*g - 2*g + (2 + 3 - 3)*(-143*g - 290*g + 247*g) in the form c + j*g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -58. Let r = -7 + a. Solve 3*b + 7 = 2*o - 2, r = -2*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456411?\nAnswer: 11, 31, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:19 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14941 - 4445 = -4*h + 2*i, -5*h = -5*i - 24225. Suppose -1053 = -21*y + h. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 12 - (-1 - 1). Put 5, -4, n in ascending order.\nAnswer: n, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 6*r**2 - 18*r - 268. Does 6 divide u(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 3, l: 1, y: 9, u: 3}. Give prob of sequence tru.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.124 and -1835479160043?\nAnswer: 1835479160042.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f + 4*u = -8, -2*f - 2*u + 2 = 0. Suppose 0 = -f*i + 350 + 1584. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 2*o**4 + o + 55*o**3 - 62*o**3 - o in the form v + u*o**2 + g*o + y*o**4 + t*o**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -10, -2, 4, 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 13705824?\nAnswer: 95940768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/221?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, -3, 5, -173, -4, 3, 6 in increasing order.\nAnswer: -173, -134, -4, -3, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 130 - 75. Let l = f + 1. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87824 is divided by 172.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10958357?\nAnswer: 41, 267277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62007\/6137 - -172\/17. Let w = -112\/86279 + t. Let l = w + -541\/5019. Is -1 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74676736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -306 + 305.8. Which is the nearest to z? (a) 4 (b) 1 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -0.45 (c) 3 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170090421.\nAnswer: 3, 67, 409, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b + 756. Let l be (-1)\/((-9)\/(b\/12)). Let 2*t**2 + 3\/4*t**3 + 1\/2 + l*t = 0. What is t?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19150)\/350 + 67 + 5*-1*2?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-9567))\/((-1)\/(-1)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8025859 a multiple of 1983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 148.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*j**3 - 50*j**3 + 724 + 700*j**3 - 2677 + 322*j**3 wrt j.\nAnswer: 3060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-239244 - 558*q**3 + 239244 + (0*q**3 - q**3 + 3*q**3)*(-2 + 5 - 2) - q**2 + q**2 + 2*q**3)*(-4 + 4 - 2*q).\nAnswer: 1108*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/2395, -14.2, -6 in ascending order.\nAnswer: -14.2, -6, 3\/2395, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 8*t - 9. Let p be r(9). Suppose -58 = -k - 3*s, p*k - 52 = -k - 5*s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10237?\nAnswer: 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*p**5 - 971*p**4 + 207*p**3 - 630304070*p**2 wrt p?\nAnswer: -5880*p**2 - 23304*p + 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 236 = x, -16 = 4*x. Let v(f) = 52*f + 1865. Let p be v(-35). What is the highest common divisor of a and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54939284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 2*d**2 - 2*d + 6. Let u be i(2). Which is the nearest to -1\/4? (a) 0 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 76 + 35 = 5*f, -3*f + 65 = y. Let l = f - -101. List the prime factors of l.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 + 3 = 0. Suppose -j*z = -95 - 9. Calculate the greatest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(-3\/10)))**(-1\/7) assuming z is positive.\nAnswer: z**(-13\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 3*x + 2. Let w be f(-4). Let s be -1*(0 + -1*76). Let c = s - w. What is c rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36346 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 90*c**2 + 3*c - 2. Let n be o(1). Suppose n - 298 = -3*m. Suppose -k - k + 3*h + 99 = 0, -k + m = 5*h. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 18*u**2 - 5*u - 7. Let n be t(4). List the prime factors of n - ((1 - 1) + 6).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80) - sqrt(25)\/(sqrt(5) - sqrt(20)))**2*4 + ((sqrt(125)*1 - sqrt(125)) + -1)*3.\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 628, 583, 502, 379, 208, -17, -302, -653?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240 + -16. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 1430*t + 2864. Let k be p(-2). Which is the nearest to -7? (a) k (b) -3 (c) -12 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 12*w + 20. Let c be u(11). Let y be 12\/(3 - (-3 + 4)). Suppose 0 = -0*z - y*z + 108. What is the greatest common divisor of c and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60758 is divided by 155?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 8 = -5*v + 2*n, 4*v + 2*n + 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/251011517?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/5 (b) -11213 (c) 3\/5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 9653405.\nAnswer: 28960215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(120)\/sqrt(45))\/sqrt(8) - (-1*sqrt(432) + sqrt(432))*6)**2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 95, -27, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-28))\/(15*11\/(-220)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 + 177 = 5*z. Let g = z - 45. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.94. Let p = 5 + -4.74. Let j = f + p. Which is the closest to -1? (a) -0.5 (b) -3\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2238888 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oox. Give prob of sequence oo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1052, -1308, -1578, -1868, -2184, -2532?\n\"Answer: -i**3 - i**2 - 246*i - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*p - 23 + 40 - 16)*(-p**2 + 3*p - 3*p + (-2*p - 1 + 1)*(p - 4 + 4)).\nAnswer: -477*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8\/7))**31 assuming k is positive.\nAnswer: k**(-248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*n - 54 + 41 + 17)*(132 + 3*n - 132).\nAnswer: 114*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-9))\/((-2)\/(-54)). Let k = j + -1. What are the prime factors of (-97)\/(-5) + 21\/k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 18*k**2 - 17*k + 2. Let u be b(17). Suppose -10 = -2*z, -u*r + z = r - 10. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10907543 and 5152?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*h**2 + 5 - 1 + 2*h - 3*h - 1 with respect to h.\nAnswer: 134*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in centuries?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -10*o**3\/9 - 4733*o**2\/9 - 186124*o\/3 + 43687 = 0.\nAnswer: -237, 7\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 10. Let s be h*(-5 - -3) - 0. Suppose -s*n = -n - 6. Solve -3*l - n = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.296 rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12410, 12265, 12030, 11711, 11314?\nAnswer: 10845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -321, -298, -257, -192, -97?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 15. Let n(q) = 2*q**2 + 3 + 0 - 3*q - 2. What is the units digit of n(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200780 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*g**2 - g**2 + 4*g**2 - 3*g**2 to f*g + p + u*g**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 18. Let b(p) = -5*p - 4. Calculate the remainder when b(-6) is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 19779*i + 415367. Give t(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 5)\/((-5)\/2*-3). Sort -4, n, 1, -0.3 in increasing order.\nAnswer: -4, n, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*w = 1169, 0 = -2*n + 3*w + 110 + 479. What is the smallest value in 5, n, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 16*v**2 + 128*v + 5. Let h(r) = -35*r**2 - 249*r - 9. What is 4*h(a) + 9*y(a)?\nAnswer: 4*a**2 + 156*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 892.449 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/20 + h**2 + 239. Let r(j) = -5*j**2 + 1. Determine 5*n(m) + 2*r(m).\nAnswer: 5*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 + 8*c + 5. Let k be l(-2). Suppose 2*g = 42 + 162. Suppose 0 = -k*t + 173 + g. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + sqrt(99) + -2 - -6*(sqrt(1584) + 2)*3)**2.\nAnswer: 12264*sqrt(11) + 528355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoeeeoleeeexee. What is prob of sequence lee?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**2\/2 - 11*x + 1. Suppose 3*v - 18 = -2*y, -56 = -3*y - 2*y - 2*v. Calculate the least common multiple of 6 and m(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 49*t + 38 + 89, -t + 3 = t + 7 + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-68))\/((-2)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31704643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7360 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(1 + 7660\/(-7692)). Let p = 475 + a. Find the common denominator of p and (-58)\/(-120)*1*-9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-5))\/(-2) - 81732\/105. Let z = 1216 + h. Is z a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 15*x - 16. Let v be z(14). Suppose 20 = -4*b - 4*c, b - 5*c - 32 = -13. Let o be 0 + 14\/(b - v). Solve -5*j + 39 = o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*p**6 + 582*p**4 - 331*p**3 + 214241380*p**2 wrt p.\nAnswer: -5280*p**3 + 13968*p - 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43179 and 333.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + -3*(sqrt(13) + 0))**2)*6.\nAnswer: -312 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 5473222.56.\nAnswer: 5473222.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -44. Let k = q + 36. Put -0.3, k, 3 in increasing order.\nAnswer: -0.3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3\/17 - 112094*z**2\/17 - 14380546*z\/17 - 14268450\/17 = 0.\nAnswer: -127, -1, 56175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubd when three letters picked without replacement from {u: 2, d: 3, z: 1, b: 2, h: 2, j: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/290, 0.5, -4\/5, 0 in increasing order.\nAnswer: -4\/5, -1\/290, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + 1.5. Suppose -173 = -8*n - 141. What is the nearest to n in -2\/7, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.1 - -11.6. Let k = -9 + 9.1. Which is the closest to k? (a) i (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1674 + -1651. Sort k, 1, 3, 17.\nAnswer: 1, 3, 17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1511.37 and -130.\nAnswer: -196478.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/10*-1*135\/54.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33868089 divided by 589?\nAnswer: 57501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7145 = -x, 100*g = 3*x + 97*g - 21399. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62155 - 14*u + 124365 - 62166 - 4*u + 2*u + 3*u + (-2*u + 2 - 2)*(0 + 2 - 1).\nAnswer: -15*u + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12240 and 227160.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(2*v + 2*v - 2*v) - v - 3*v + 2*v + 2*v - 2 + 2 + 6 + v + 2*v - 2*v in the form c*v + z and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149249 + 127*n**2 - 149249 - 6*n to the form h*n**2 + d*n + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 8*y - 6. Suppose -2*t = -3*t - 4. Calculate the least common multiple of d(t) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5984)\/(-330))\/((-2)\/(-669)). Let n = -6046 + b. Which is smaller: 20 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-130 + 63)) + -149?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 3032 - 3072 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**4*w*x + 42*o**4*x + 3924*o**4 + 3292*o**2*w*x + 66*o**2*x + 2*o**2 + 2*o*w wrt o?\nAnswer: 48*o*w*x + 1008*o*x + 94176*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-827900)\/(-170) - (-18)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284792028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 48, 0.27, 0.8, -0.55?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.89 in 1, -4, -3, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1176785 (base 9) to base 4.\nAnswer: -2130212123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32412 (base 5) to base 4\nAnswer: 202320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -486.036 - 59.994. Round t to 0 decimal places.\nAnswer: -546","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 7*s**2 + 13*s + 1. Let o be z(3). Suppose 3*w = 2*w - 56. Let f = o - w. Calculate the greatest common divisor of f and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 21 = 0. Let t(j) = j**3 - 8*j**2 + 7*j - 1. Let w be t(h). Put -2, 0, w in descending order.\nAnswer: 0, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*z**4 + z - z**3 - 2*z**2 + 3\/2.\nAnswer: (z - 3)*(z - 1)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3921702527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97849*k**2*x**2 + k**2 + 297*k - 25*x + 4753 wrt x.\nAnswer: 195698*k**2*x - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 145*n + 2. What is m(-1)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -127, -177, -223, -265, -303, -337?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/1464 and 15\/3416?\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2, g: 2, n: 1, d: 1, z: 1}. Give prob of picking 1 g and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Suppose 0 = 4*t - d - 3. Let b be 13 + 1 + (1 - t). What is the highest common factor of b and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r*r**5*r*r)**(2\/175) assuming r is positive.\nAnswer: r**(8\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 16219.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30455491 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/10*7720\/2316.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34670136, 69340267, 104010398, 138680529, 173350660, 208020791?\n\"Answer: 34670131*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 2*g + 8, d = 2. What is the common denominator of 101\/8 and 41\/(-123) - (g + 58\/582)?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/(-100) - (-4 - -4).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79103218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 261*v + 4290.\nAnswer: 3*(v + 22)*(v + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**6\/30 - x**4\/6 - x**2\/2 + 3. Let j(t) be the second derivative of o(t). Let j(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -26, -4, 18, 40, 62?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 10*s - 18. Let y(i) = -5*i + 10. What is 2*p(l) + 5*y(l)?\nAnswer: -5*l + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*b**2 + 4421164*b**3 - 4421169*b**3 + 0*b**2 + 1057*b - 66*b**5 wrt b?\nAnswer: -1320*b**3 - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -151*p + 56929. Let z be j(377). Factor -32\/3*h + 0 + 2\/3*h**3 + 4*h**z.\nAnswer: 2*h*(h - 2)*(h + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 4 + 0\/2. Suppose -r*x - 2*y - 12 = -42, -4*x = 2*y - 54. Suppose 0 = 6*s + 17 - 35. Solve g - 6*g = s*k + x, -5*g + 4 = -k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.45 and -6.5763.\nAnswer: 35.840835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3198*r = 3203*r - 84, 0 = -t + 3*r - 21 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3846, -7597, -11352, -15111?\n\"Answer: -2*l**2 - 3745*l - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 - 4*q**2 - 3*q**2)*(-2*q - q + 2*q + (4 + 0 - 3)*(-2*q - 3*q + 3*q)).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 - (3 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 37831 - 158495 = -3*t, -4*u + 4 = 0. What are the prime factors of t?\nAnswer: 2, 5, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*-6*(0 + (2 + sqrt(425) + 1 - sqrt(425))) + 2)**2.\nAnswer: 4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 1. Let l be j(-3). Let i be l\/(3*4\/(-18)). Let q(g) = -g**3 - 3*g**2 - 2*g + 3. List the prime factors of q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5*o - 20, 3*o = 3*f - 5*f + 8. Suppose f = -2*d + 2. What is the units digit of 93\/(3 + -6)*d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -49, -8981 in increasing order.\nAnswer: -8981, -49, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/40)\/((-3)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 23*c - 105. Calculate f(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 27*v + 551276. Let f(m) = m. Give f(g(k)).\nAnswer: 27*k + 551276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 13314.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from jleleeeaeejleea?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7336.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 30672315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 12:09 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiq when three letters picked without replacement from {c: 3, i: 3, q: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 972, 990, 1008, 1026, 1044?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*460\/(-506) + 17.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-2160)*-36 - 343\/(-2065).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.24 + 0.14. Let i = 0 - -1. Let g = -2 + i. Which is greater: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:04 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-15) + (-486)\/15. Let q be (5\/(15\/v))\/(-1). Let m be (-40)\/40 + 2*3. Solve -m*b - 1 + q = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olf when three letters picked without replacement from {z: 1, l: 2, u: 1, f: 5, a: 5, o: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2493 + -2318. Sort -3, -1, -5, t.\nAnswer: -5, -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33990571*j**6 - 3782415*j**2 - 2*j - 22 wrt j?\nAnswer: -4078868520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -2\/3 (b) 0.15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o. Let h(r) = 49*r**2. Give h(t(l)).\nAnswer: 441*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1387581 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 = 86*n + 103 + 948 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -662\/99?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 989 = 2*g - 831. Let y = g + -105. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-8) - (-38 - 3300\/(-90)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p + 2*s - 8, s - 8 = -4*p. Solve -d + p*g = 1, -9*d - 4*g + 9 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*q = -0*q + 2, 0 = q - 1. Are s and -6\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484079755 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*y - 5*y + 3*y)*(-37 - 100*y**3 + 37) to the form i*y**3 + v*y + h*y**2 + n*y**4 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 524 + 421 + 40*r - 134*r - 206*r.\nAnswer: -5*(r - 3)*(r + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-7\/4)\/j)\/(j\/(j**(-4\/5)\/j*j)))\/((((j\/j**2*j)\/j)\/j)\/j)**(13\/3) assuming j is positive.\nAnswer: j**(189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29368864*g**3*p**2 + 3*g**3*p - 3*g**3 + 109*g**2*p + 1569*g*p wrt p?\nAnswer: -58737728*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 14. Let y be l(7). Suppose 0 = 34*d - 32*d - 4. Let a be (d\/4)\/(1\/2). Put -2, -5, y, a in decreasing order.\nAnswer: y, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 90*h**2 - 282*h + 1. Determine u(-3).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 55*c**2 - 294*c - 1. Give i(5).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-180)\/(-325) - 0) + 6\/(-15). Let h = 0.36 - 43.36. Let v = h + 39. Which is the closest to 0.1? (a) l (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -484540 divided by 236\nAnswer: -121135\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x. Suppose 6*l + 2*a = 3*l - 40, 4*l - 2*a = -30. Let o(s) = -s**3 - 9*s**2 + 9*s - 4. Let m be o(l). Let i(g) = g + m - 6. Calculate v(i(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 7. Let t = -829\/2 + 415. Which is the biggest value? (a) -6 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/21)\/((-27)\/(-63)). Let n(w) = w**3 - w**2 + 1. Let h be (0 + 1)\/(1\/1). Let o be n(h). Sort o, g, 5 in decreasing order.\nAnswer: 5, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55467527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 6, i: 3, f: 3, n: 1}. What is prob of sequence fwfw?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 954 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 3*s - 2. Let w(i) = 3*i - 4. Let j(t) = -t**3 + 2*t**2 + 2*t + 1. Let f be j(-1). Let k be w(f). What is g(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/3)\/15)\/((-72)\/(-16)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44845?\nAnswer: 5, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o. Let k(u) = -u - 5. Give k(z(c)).\nAnswer: -12*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62141326271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzjffzf. What is prob of picking 2 z, 1 f, and 1 j?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9838221*c**3*w**3 + 7662*c**3*w**2 - 138*c**3*w wrt w.\nAnswer: 59029326*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 3. Let o = -15.999979 + r. What is o rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzeigyzyv. What is prob of picking 1 v and 1 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1186 divide 251818636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 28 = -d. Let q(y) = -d*y**2 + 4*y**2 - 49 + 4*y**2 + 53. Let z(a) = -2*a. What is z(q(s))?\nAnswer: -2*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*s + 19*s**3 - 81*s - 17*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61822415 and 2595.\nAnswer: 185467245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4*x + 41 + 1 = 0, -4*w = -5*x - 46 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1548 by -6.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 79*h**3\/6 - 703*h**2\/2 - 375*h. Differentiate r(o) wrt o.\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9576 and 19440?\nAnswer: 2585520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzb when three letters picked without replacement from bbbbzbbbbzb?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 651*m + 653*m + 8*m**2 - 1904*m + 636*m in the form p*m + y*m**2 + g and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*k = -58, 4*q - 48 = -0*q - 4*k. Let l be 2\/(2*(-3)\/(-12)). Suppose -l*x + q = -3*x - 2*u, -4*u + 28 = x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let a be f(-1). Let p be 7*a\/6*3. Suppose -64*n - 18 - 366 = 0. Is n smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90717?\nAnswer: 3, 11, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.02 - -2. Let a = -2.02 - n. Let k be (-70)\/(-56)*(-3)\/30. Sort a, -3, k.\nAnswer: -3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 4*r**2 - 65*r + 9. Let t be j(8). Let i be (t\/((-10)\/184))\/(42\/105). Which is greater: i or 45?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -61625\/28 and -2202 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by 1309.\nAnswer: 16\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118 and 536900?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 - 28 - 32 - 37 + 99 - 46*u + u**3 + 14*u to h*u**3 + v + a*u**2 + p*u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = 3*x - 10, j - 2*x + 8 = 0. Let d be 4 - 4\/(0 - j). Factor -g**2 - d*g + 4*g**3 - 5*g**2 - 1 + 10*g - g**4.\nAnswer: -(g - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009161740502 rounded to seven decimal places?\nAnswer: -0.0091617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -40 + (-21 - (-48 - (-52 + (-3 - -25)))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4074.\nAnswer: -1\/2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**13*h*h)*h\/(h*h*h**(3\/4)*h))\/((h*h**15\/h)\/h)**(2\/25) assuming h is positive.\nAnswer: h**(-1687\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) + (-56)\/(-7). Suppose 0 = -3*v - 4*h + 13, 3*v + 0*h = -3*h + q. Let t(j) = -5*j + 1. Calculate the smallest common multiple of t(v) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/y**(1\/28)*y)\/y)\/y*y)\/y**(-1\/2)*(y\/y**(13\/3))\/((y\/y**14)\/y))**10 assuming y is positive.\nAnswer: y**(5515\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 + 3940*l**3 + 3932*l**2 - 3940*l - 3936.\nAnswer: 4*(l - 1)*(l + 1)**2*(l + 984)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1812833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/2)\/3*1\/(26\/(-2)*1).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 13719.332418?\nAnswer: -13719.632418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 248371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30647*b - 1417 = 30618*b + 729 for b.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d - 48. Let k(y) = -32*y**3 - y**2 + 2*y**2 - 3*y - 239 + 481 - 244. Let r be k(-2). What is the greatest common factor of d and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 45008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(272) + 0)**2 - sqrt(272)) + -3 - 2*sqrt(272)*-1).\nAnswer: -1345 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/2 - 5*u**3 + 73*u**2\/2 - 19*u - 60 = 0 for u.\nAnswer: -15, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000272308525 to 6 dps.\nAnswer: -0.000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 546841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81.8 and 17888?\nAnswer: -1463238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7344)*1 + sqrt(7344))\/(sqrt(18)\/(sqrt(6) + sqrt(30)\/sqrt(5))).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Let o be 1*4\/(-4)*3*-1. Differentiate 3 + o*w**n + w**2 + 5 - 5 with respect to w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2\/17*p**3 - 30\/17*p + 14\/17*p**2 + 18\/17 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28553149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -2*h**3 + 3*h**2 + 8*h + 37. Let z(x) = x**2 - x - 2. Let r(c) = -v(c) - 4*z(c). Solve r(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, x: 7}. Give prob of picking 1 z and 2 x.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3457.018918 + 3457. Round n to four dps.\nAnswer: -0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*g**2 + 15 - 78*g**2 + 2*g - 57*g**2 + 217*g**2 + 4*g**3 to the form x*g**3 + t + i*g + u*g**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7065, -4, 0.\nAnswer: -7065, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, h: 2, m: 6, q: 1}. What is prob of sequence mml?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 1673*a + 336*a + 1256*a + 345454 = 0 for a.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, g: 5, w: 3, p: 1}. Give prob of sequence wg.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35960, -35981, -36002, -36023, -36044?\nAnswer: -36065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 22. Let f = i + -6. Let t(c) = c. Let w(y) be the first derivative of y**3\/3 + 3*y**2\/2 - 1. What is f*w(k) - 6*t(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 7*o**4\/2 - 9*o**2\/2 + 9. Find the second derivative of p(z) wrt z.\nAnswer: 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p - 1232000 = -53*p. Round p to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 105\/14*(-1 + 3). Solve 0 = -4*h - s - 12, 3*h + s - 5 + z = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*sqrt(637) + -1) + -5 - ((sqrt(637) + 5 + (sqrt(637) - (0 + sqrt(637) - sqrt(637))) + sqrt(637) + sqrt(637) + 3*sqrt(637)*-1)**2 + -4).\nAnswer: -280*sqrt(13) - 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 154. Let l = -12 - -21. What is the greatest common factor of l and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + -2.93. Let d(j) = -2*j**2 - 15*j + 9. Let x be d(-8). Let m(r) = -r**2 + 5. Let z be m(0). What is the closest to -2\/5 in x, i, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**2 + 4*t. Let k = 2503 - 2507. Let n(a) = 7*a**2 - 3*a. Give k*n(x) - 3*b(x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35275 is divided by 284?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11083\/1495 - -4\/299. Find the common denominator of (-5)\/(810\/5049) - -27 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*y**2 + 95844*y + 57510.\nAnswer: -2*(y - 9585)*(5*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 31 = -4*d - 12, -v = -3. Solve -h = 3*j, 4*h = 5*h + d*j + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13214*c - 33*c**3 + 6611*c + 6603*c.\nAnswer: -33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 2. Let u = 7 + -15. Let j = u - -3. Determine d(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 1449. Let b(v) = 729. Determine 7*b(g) - 3*p(g).\nAnswer: 3*g + 756","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 17, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = 17*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4578.9286 minus -773?\nAnswer: -3805.9286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12*-3)\/(5\/(-90)*-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**23*k*k*k**4)\/((k**(-3)\/k)\/k*k**(-6\/23)) assuming k is positive.\nAnswer: k**(788\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - -3) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07032261 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 23 - 56 + 33.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67.12 + 420.02. Let x = l - 321. Let d = -32 + x. What is the second biggest value in 3, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1208 = 29*h - 25*h. Suppose -153*x + 21 + 3*x**2 - 85*x + h*x = 0. What is x?\nAnswer: -21, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z - 4 - 3*z + 9*z. What is the smallest common multiple of 10 and n(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 2*x - x)*(-3 + 2 + 0)*(2*x - 2*x + x**2)*(-55*x + 81*x - 45*x) as n + g*x**3 + v*x**2 + a*x + p*x**4 and give p.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 838766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.9175 + -1.0825. Sort -57\/2, -1\/2, -0.3, i, 3.\nAnswer: -57\/2, i, -1\/2, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 3*b**5\/35 - 3*b**4\/7 - 2225. Factor f(m).\nAnswer: 3*m**3*(m - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*a = -59798, n - 4*a + 4360 = 16310. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*r - 12. Suppose 2*i = 7*h - 3*h - 8, -2*h = -r*i - 8. Suppose 4*m + 8 = 4*t, 0*t = -t + 5*m + 6. Do h and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y + 1 + 6*y**2 - 2*y**2 + 1 - y**3. Let v be g(5). Suppose 14 = -a + 5*a + 2*c, -4*c = v. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from ixixxxitittqtqqii?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 1\/4*b + 3\/8*b**2 + 1\/16*b**4 + 2 + 1\/4*b**3. Let i(z) = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5227\/188172 - 9430\/(-72).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b = 4. Suppose 12 - b = 4*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -105. Let h(p) = -3*p - 29. Let t(m) = 9*m + 87. Let r(x) = v*h(x) + 2*t(x). What are the prime factors of r(-19)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 181*i**2 - 719*i - 4729. Give n(86).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 10*m - 4*p - 7354 = 0, 0 = -5*m + p + 36656. List the prime factors of m.\nAnswer: 2, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*f = -2*g + 2, -g = 2*f - 2. Let r be 3 - g*(-3)\/(-6). Solve -21 - 3 = -x - 4*d, x + r*d - 14 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*v + 20530 = 0, -5*s + 9*v = 11*v - 20540. Suppose 4*q + 2*t = 3*q + 1021, 5*t = 4*q - s. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1363.996746us?\nAnswer: 0.000000002255285625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + q**2 + 4*q - 5. Suppose -4*l = -4*o - 4, -2*o + 4 = -3*l + 8. Let f be b(l). Sort 4, 3, f, 1 in increasing order.\nAnswer: f, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i - 2. Suppose 3*s - 5*j = 12, -3*s - 4*j = -s - 8. Let k be y(s). Suppose -k*b + 6 = 0, 3*l - 4*b = -0*l. Solve v + l = -1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -4*i**7\/105 + 2*i**5\/15 - i**2. Find the third derivative of t(f) wrt f.\nAnswer: -192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1030162 - -1?\nAnswer: 1030163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*h**2*y**3 + h**2*y - 14*h*y**3 + 684*h*y - y**2 wrt y?\nAnswer: 1230*h**2 - 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90795.06 kilometers in meters?\nAnswer: 90795060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 - 2*t**2 + 2*t**2)*(-t + t + 13*t) to c*t**2 + y*t + n*t**3 + q and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -455 + 446. Suppose -8*h - 29 - 11 = 0. Which is the nearest to -0.2? (a) h (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-1)\/4)\/1)\/((-45)\/72). Let x = -5\/8 - -9\/40. What is the closest to b in x, 2\/5, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -5 (b) -2\/5 (c) 0.12 (d) -2\/667\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-90)\/420*(2\/7)\/((-3)\/(-14)). Let g = -6.86 - 0.14. What is the nearest to 2 in g, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 5*h**3 + 1\/2*h**2 + 0*h**4 - 127*h + 0*h**5 + 1\/6*h**6 - 44. What is the second derivative of j(b) wrt b?\nAnswer: 20*b**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 11:59 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 4*sqrt(99))**2 - sqrt(99)) + 4 - (sqrt(33) - (sqrt(396)*4)\/sqrt(12) - sqrt(33))\/sqrt(3).\nAnswer: sqrt(11) + 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, r: 9}. What is prob of picking 4 r?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 smaller than 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*f = 6, 3*w + 4*f = 269 - 274 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 0*g + 4*g + (-1 + 3 - 1)*(216 + 230*g - 216).\nAnswer: 232*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.39667571333 take away 74?\nAnswer: 71.39667571333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135.997 + -0.003. Let g = -121.8 - h. Let a = -14 + g. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21581722522 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/6)\/(9\/(-36)). Let s = -0.01 + -0.39. Let p = -0.6 + s. Is p at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -117. Find the common denominator of -50\/9 and l\/14 + -2 - -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2444 + -1159. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1804 - 1235. Does 11 divide y + 1\/(-3) + 2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*r - 7. What is the first derivative of 0*b**r - 2 + b**2 + 5*b**2 + 2*b**2 wrt b?\nAnswer: 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 118, -179, -476, -773, -1070?\n\"Answer: -297*a + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90937309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/90 + (-24)\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1303011313?\nAnswer: 1303011323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (395430\/(-847350))\/(((-63)\/2)\/(-1)).\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from hfmfhmff?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 28*c - 12*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-6)*570\/627*108*14\/224.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajea when four letters picked without replacement from euauuaajuuuauauau.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4579*u + 12880 = 4590*u + 4486*u - 13795*u for u.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14326 and 31.7.\nAnswer: 14357.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 5*y - 45, -4*y = 3*v + 6 + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -134, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 366 + -366.5. What is the third smallest value in n, -1\/79, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {q: 3, k: 2, d: 1, h: 1, m: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20344 + 3341024?\nAnswer: 3401412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (sqrt(209) - (sqrt(209) + (sqrt(209) - sqrt(209)*2) - sqrt(209))))*-6)\/(-1*sqrt(11)*2) + -1.\nAnswer: -1 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*n, -n = 2*d - 0*d + 3. Suppose d*a + 6 = 3*a. Solve -3*u + 10 = -a*y - 0*y, -2*u = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*p*u**2 - 5*o**2*p*u - 4*o*p**2*u - 2*p**2*u**2 + 29*u**2 wrt u.\nAnswer: 2*o**2*p - 4*p**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z - 2. Let w be u(-1). Is (-226)\/6*(3 - w) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 636 and 45.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {h: 18, i: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(1 + sqrt(720)) - (-4*sqrt(405)*2 + -1))*5.\nAnswer: -30 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -5 (c) 0.0301 (d) -0.3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7861012 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0332 and -243?\nAnswer: 8.0676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 + 18*i**4 - 72*i**3.\nAnswer: 2*i**3*(i - 3)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -802, -1610, -2418, -3226, -4034?\nAnswer: -4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.37 + -15. Let u = 0.17 - q. Let y = 14.09 + -14. Which is the third smallest value? (a) y (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) + -2*sqrt(2) - (sqrt(2) + (-3 + sqrt(2) + sqrt(2) - sqrt(2) - sqrt(2)))**2*3)*6.\nAnswer: -192 + 102*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 105186 and -1.45.\nAnswer: -152519.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37049954 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.38 in 2, -2\/5, -1, -2\/284895?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627402 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -9, -4, -42 in decreasing order.\nAnswer: 6, 3, -4, -9, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 243073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85204 by -21301.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 796*d**3 + 2386*d**2 + 30*d + 94. Calculate c(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:07 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*h - 34. Let v(n) = -2*n - 1. Let l be v(-13). Differentiate 34 + 10*u**3 - h - l wrt u.\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -13 + 9 + 12 + (-14 - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2263, -4529, -6795, -9061, -11327?\n\"Answer: -2266*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -595801653 rounded to the nearest one million?\nAnswer: -596000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 352*p**3 + p**2 + 5*p + 6. Give b(-1).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1380 - 1366. Solve -54 = o*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -43*p**3\/6 + 14*p**2 + 17*p + 22. Let w(c) be the first derivative of o(c). What is the derivative of w(u) wrt u?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -357.484 * -170\nAnswer: 60772.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 23.9. Let s = r - 0.9. Let i = -7 + 2. What is the second biggest value in s, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-4)\/4))\/(28\/4)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 24 + 84. Differentiate -47 - x*b**3 - 5*b**3 + 0*b**3 with respect to b.\nAnswer: -51*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -292, -292, -276, -238, -172?\n\"Answer: f**3 + 2*f**2 - 13*f - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 18*u**2 + 51*u + 284. Determine x(13).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3184968 equal to -3184946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (285 + -10)\/25 + 6. Let i(k) = -k**3 + 17*k**2 + 22. Determine i(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 15 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/381 and 99\/67310.\nAnswer: 201930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.8 + 16.8. Let l = -0.6 + -1.4. Which is the smallest value? (a) l (b) n (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*c - 3534*c - 15 - 12 - 14 + 42 as o + n*c and give n.\nAnswer: -3368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 0*y**5 - 4 + 0*y**3 + 0*y**2 + 1\/6*y**4 - 1\/9*y**6 + 0*y. Find u such that g(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-56)*(-86)\/(-774)*(-18)\/(-10)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - k - 1. Let b(i) = -i**3 - 5*i**2 + 55*i - 1. Let l(w) = -b(w) + 2*h(w). Find the second derivative of l(f) wrt f.\nAnswer: 18*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*(700\/105)\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g**2 + g**2 + 2*g**2)*(-290*g + 48*g - 64*g).\nAnswer: -3978*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/q)**(-1\/8)*(q**7)**12 assuming q is positive.\nAnswer: q**(667\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -26*t**2 + 5408*t + 5439. Determine f(209).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 1\/16*w**4 - 3\/8*w**2 + 1\/24*w**3 + 41*w + 0 - 1\/80*w**5. Suppose o(m) = 0. What is m?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11 + 0 + z**2 + 6*z - 3*z. Let w be b(-6). Is w\/(0 + 3\/267) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (248 - -3)*-1*(-48)\/(-36). Let n = 335 + q. Which is the closest to 0.1? (a) 0.1 (b) -3\/2 (c) -0.5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*6\/72*-3*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1894 and 6?\nAnswer: 5682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/4)\/(5\/10). Let p be ((u - 3) + -6)\/(-18). Solve 4\/9 - 2\/9*y**2 - p*y = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*w*y + 17506634*w - 328533*y wrt y.\nAnswer: 12*w - 328533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, a: 1, m: 1, k: 3, s: 3}. What is prob of sequence sm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 19 = -4*v, 3*v + 4 = -4*d - v. Suppose d*m = -9 - 6. What is the smallest value in 0.2, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**19*l**(2\/11)*(l*l**(5\/2))**(2\/27) assuming l is positive.\nAnswer: l**(-5215\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/((-128)\/(-1152))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103694 + 13998613\/135. Calculate the common denominator of -149\/90 and h.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d - 8. Give c(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -878, -1958, -3470?\nAnswer: -5414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14311.128 to the nearest ten.\nAnswer: 14310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15357014 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (-6)\/(-8) - (-7398)\/72?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Solve -3*o + 2*l = n, 5*o + 4*l + 46 = 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 1\/(-2) - 52\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/15)\/((-328)\/(-958371918)). Let r = f - 1947863. Let v = r - -4\/41. Calculate the common denominator of v and -67\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14497\/14)\/(-19))\/(2\/4)*362\/362?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**13*n)*(n*n\/(n*n*n\/(n**(2\/13)\/n)))\/n)**(-26) assuming n is positive.\nAnswer: n**386","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*d - 1, 2*d = 5*c + 36. Let u = -3 - c. Suppose 2*s + 3*a = -2*s + 30, 37 = 3*s - 5*a. What is the remainder when s is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3494973 or -0.11?\nAnswer: -3494973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-27)*(-84)\/14. Let c = -1.2 + -8.8. Let r = c - -5. Sort r, y, -1, -3 in ascending order.\nAnswer: r, -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.063 - 14.63\nAnswer: -14.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*x - 4434*x**2 - 221*x**3 + 220*x**3 + 4438*x**2 - 2 to the form z*x + j*x**3 + o + v*x**2 and give z.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 - 1 - (4 + -2). Let a = -8 - -11. Suppose 4*f - i*u = 19, -a*u + 31 = f + u. What is the highest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001238 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4239996 and 4239996?\nAnswer: 4239996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0.2, 133, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 680 and 12104.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.949929 decades in millennia?\nAnswer: 0.04949929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = -3*v - 9, -16 = -4*r + v. Suppose -r*a = a - 10. Factor 2 - 3*b**2 + 5*b**a + 6 + 8*b.\nAnswer: 2*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 730*m**3 - 16 + 0*m**4 + 10 - 729*m**3 + 3*m**2 + 13*m**4 in the form i*m**2 + v*m + w*m**4 + g + c*m**3 and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745969 is divided by 1513?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 2942*d + 1776957.\nAnswer: (d - 2093)*(d - 849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306 + 122.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:02 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (7 + -8)) + -14 - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/7 - 6*o**3\/7 - o**2\/7 + 6*o\/7 = 0?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 537 = -2*a. What is the remainder when a is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(6*(sqrt(5)*-2 - sqrt(5)) + sqrt(5)))\/(-6*sqrt(144)*1).\nAnswer: sqrt(7)\/408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 - -23. Let b = 2 - w. Round b to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2 - 2*g + g)*(21 - 5 - 13).\nAnswer: -6*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 129*z - 72 = 186 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(78))\/(2*sqrt(486)) - ((sqrt(1053) + -1 + -3)*4)**2.\nAnswer: -17104 + 20737*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/(136\/(-20)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/260 and -37\/635030.\nAnswer: 16510780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.2 (c) -0.9 (d) 0.4 (e) -3.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -23. Let g(j) = -3*j**3 + 3*j**2. Let r(q) = q**2 + 0*q + 0*q. Let t(i) = c*r(i) - g(i). Find the third derivative of t(w) wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 2*s**2 - 7*s + 4. Let p(z) = 3*z**3 + 5*z**2 - 20*z + 13. Let i(o) = -8*b(o) + 3*p(o). Is i(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68577*n - 689 = 68590*n for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m - 1. Let p = 11 - 6. Let q = p - 4. What is h(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59325, -58500, -57663, -56808, -55929, -55020?\n\"Answer: l**3 + 818*l - 60144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18322455 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 1, -2\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*-1 + ((-1278)\/(-336))\/(132\/176)\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -720 + 1609. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -23. Let z = f + 6. Solve -2*r + 3*k + 19 = z, 7*r - 5 = 3*r - 5*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682081846?\nAnswer: 2, 341040923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g - 700. Give s(-139).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26 + 1a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7070 + -7034. Solve -16*b - 40 = -f*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 9:26 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1 - 6*q + 0 + 9*q + 7559*q**2 - 2*q. Is n(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1883 by -2.\nAnswer: 1883\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2) + 2 + 0)*-3.\nAnswer: -18 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 5:46 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 127 - 42 + 2*l - 40 + (3*l + 2*l - 3*l)*(4 - 3 - 3) in the form j + n*l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -5*t + z + 366, t - 174 = -4*z. Suppose 39 = -3*d + t. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 983, 986, 991, 998, 1007, 1018?\n\"Answer: v**2 + 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37\/3 - (-1)\/(-3). Let i be 2 - 2*(-3)\/3. Let a be i*(3 + (-3 - -1)). Calculate the highest common factor of u and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 31*c**2 + 182*c + 51. Determine i(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.697773g in milligrams?\nAnswer: 4697.773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(65\/20 + -3). What is the second derivative of z - 7*z - 5*z**2 + 18*z**2 - a*z wrt z?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 + 4. Let t(u) = 7*u**2 - 2*u**2 - 9*u**2 - 1 + 3*u**2 - u**3. What is 2*t(h) + y(h)?\nAnswer: 2*h**3 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n - 1 + 6*n - 3*n)*(-3*n**3 + 3*n**3 - 2*n**3)*(-49 + 8 - 79) as r*n**2 + j*n**3 + f*n + m + i*n**4 and give i.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1446797 rounded to the nearest 1000?\nAnswer: -1447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 5 (c) -1\/2 (d) -31 (e) -4\/7 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*b - 1863 = 0, 3*u - 1667 = -b - 545. Let x = u - 140. Is 30 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + p**2 - 2)*(2 + 2 - 2)*(-2*p - 2*p + 3*p)*(-2884*p + 147*p + 454*p).\nAnswer: 4566*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 11 - 15*w + 3 + 2 + w - 2 - 3*w + 0*w + 2*w + (2 - 2 + 1)*(-w + 1 - 1) - 4*w + 0*w + 2*w to the form k + u*w and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 11 = k. Suppose 4 = t - 2*t. Let l be (8\/(-12))\/(t\/198). What is the greatest common divisor of k and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - -30333123?\nAnswer: 30333220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1670530 (base 9) in base 4?\nAnswer: -3203203332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f - 14 - 13*f**2 - 65*f**4 - 4*f + 11 wrt f.\nAnswer: -1560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/54 - 1416876\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 25*s + 58. What is the tens digit of q(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 3. Let a(y) = 1 - 4 + 6. Let q(b) = -1. Let o be 28\/(-5) - 2\/5. Let w(i) = o*a(i) - 17*q(i). Give 7*w(g) + 2*z(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 100 = 4*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20500 divided by -5\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49642.37nm to kilometers.\nAnswer: 0.00000004964237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -149 + 155. What is the remainder when 24 + 1*-2 - 0 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 61 (b) -106 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 27*o + 287. Suppose -6*x + 126 = -3*x. Is v(x) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 23*s**2 + 10*s + 13. Let g be r(11). Suppose g = 5*u + 2*x, u + u + 4*x - 88 = 0. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 281 + k**4 + k**3 + 170*k**2 + 28 - 168*k**2 - 50 as d*k**2 + j*k**3 + g + a*k**4 + t*k and give g.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -85, -77, -57, -19, 43, 135, 263?\n\"Answer: y**3 + y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:03 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*u - 10386 = 172*u. Suppose -u + 3706 = 4*m. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*w + 278*w - 19 - 717*w - 8*w**2 + 19.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5246 (base 10) to base 15\nAnswer: 184b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1538*f**2*z - 419*f**2 wrt z?\nAnswer: 1538*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, 1.3, 0.2, 180\/209?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1df?\nAnswer: -1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 97, 347, 833, 1633?\n\"Answer: 13*m**3 + m**2 - 2*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/4)\/((-55)\/66). Suppose -2*f + 85 = -5*m, -3*m = f + r*f - 235. Which is bigger: 54 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1001150, 2002193, 3003236, 4004279, 5005322?\nAnswer: 6006365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -19) + -2 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29\/105 + -2\/35. Suppose -k = -5*k. Which is the closest to k? (a) j (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 260 - 604. Let b = 343.99999809 + a. What is b rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*b + 33, 8*b - 27 = -3*s + 5*b. Solve -s*j + 21 = -19*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*y - 61 = 0, 4*m + 0*m + 2*y - 82 = 0. What is the lowest common multiple of (-49)\/(-14) - 4 - (-4 - (-63)\/(-14)) and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3))**35\/((y\/y**10)\/(y\/y**(-1))))**30 assuming y is positive.\nAnswer: y**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14488779 + -7498779. What is s rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-4))\/((-115)\/138). Let y be -4 - (b - (5 + -3))*-5. Solve -y = -3*j + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -276, -891, -2084, -4047, -6972, -11051?\nAnswer: -16476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44305, -44306, -44307, -44308, -44309?\nAnswer: -44310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and 22540.\nAnswer: 45080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53.9 - -54. Sort 0.3, 0.4, k.\nAnswer: k, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151060000 to the nearest one million.\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 63 = -4*v. Calculate the lowest common multiple of v and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/((-22400)\/60))\/(11\/(-264))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 - 30. Let c = -6 + o. Let f = 77.0000039 - c. What is f rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-248*i + 109*i - 105*i - 417*i - 1670*i).\nAnswer: 2331*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*n**2 - 14*n**3 + 134*n**2.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 13*m**2 + 17*m - 54. Let f be w(14). What is the common denominator of (-4*(-2)\/108)\/(f\/279) and 13\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 258*x + 260.\nAnswer: -2*(x - 130)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 11:03 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1380 and 619963068?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -16, -2, 19, -3 in ascending order.\nAnswer: -16, -5, -3, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1053 + 1141?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 57709470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (537 - 537 - 65*o)*(50 + 7*o**2 - 52 - 2*o - 3*o**2).\nAnswer: -260*o**3 + 130*o**2 + 130*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -304 or -914\/3?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -391113 >= -391111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x + 3. Let m(i) = -4*i - 1. Let b(j) = -2*l(j) - 5*m(j). Let c be b(2). Solve 1 = c*y - 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*1\/(-1)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h - 55. Suppose 5*d = y + y + 53, 34 = -y + 5*d. Let o be a(y). Let f be (-84 - -6)\/((-3)\/o). What is the greatest common factor of 39 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88901?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -432728364 and -0.02?\nAnswer: 432728363.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 4, -1.7, -4\/3, -2, -51\/2?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 3*y**2 + 7*y + 10. Let j be q(-5). Let n = -9 - -11. Suppose -c + n*c = j. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 1:59 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, q: 2, a: 1, p: 1, r: 2, m: 1}. Give prob of sequence yyq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 47*f**2 + 9004*f + 17812.\nAnswer: -(f - 122)*(f + 2)*(f + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4057875 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 3. Let c be g(0). Suppose 5*r - 2*z - 13 - 17 = 0, 3*z + 23 = 2*r. Suppose r*x = -c*q - q + 464, 10 = 2*q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/(-9))\/((-1)\/3) - -365.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121320237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*k - 67, -3*d + 2*d - 4*k = -23. Calculate the remainder when 73 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + f - 5*f = -6, -a = f + 6. Let q(p) = -p**2 - 23*p - 23. Let j be q(-22). Sort 5, a, j.\nAnswer: a, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 7*s + 7. Let p(g) = 5*g + 3. Let z be p(-2). Let h be k(z). Suppose h*l = 2*l + 200. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 52*s = 55*s - 12, 2*t + 4*s = 10. Suppose 5*h - 1 + 21 = 2*r, 4*h = -2*r + 2. Calculate the smallest common multiple of r and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.416951 and 15.\nAnswer: 16.416951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(190)*-1*-5)\/(sqrt(90) + ((sqrt(90) + sqrt(90) + (3*sqrt(90) - sqrt(90)))*2 - sqrt(90))).\nAnswer: -5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-39))\/(8005\/3202).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 greater than -3106\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 6. Let f be 2 - 3\/6*-2. Let h = f + -8. Let j be i(h). Which is the nearest to -0.1? (a) -0.4 (b) 1\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-716)\/(-18) + 1 + 8\/36 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 8*l + 6. Let z = 70 - 79. What is p(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190226027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222210210 (base 3) in base 2?\nAnswer: 11100110011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 20031323000 (base 4) to base 13\nAnswer: 5a567b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5553150 is divided by 130?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/9 (b) -4 (c) 733\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 46*s + 140.\nAnswer: -2*(s - 3)*(s + 210)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(3\/128) + -2. Let f be (-10 + 7)*((-42)\/45)\/((-9)\/(-45)). What is the greatest common factor of f and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2458192632 to the nearest integer?\nAnswer: 49580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18897.\nAnswer: 3, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*f = 2*l + 18, 3*f - 36 = -5*l. Find the third derivative of h**6 - 5*h**l + 14*h**2 - 17*h**2 wrt h.\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.88 + -31.28. What is the smallest value in 4, x, -13, -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19825937227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39048?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00046431417 to 6 dps.\nAnswer: -0.000464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 31860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o + 8. Let n(q) = 8*q**2 + q - 4. Calculate the remainder when n(o) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 + -29. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*d + 15 - 36 = 0, 4 = l - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k - 3*k + 4*k)*(1122 - 9*k - 1267 + 35*k + 16*k) in the form r + u*k + n*k**2 and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1983707 and 3.\nAnswer: -5951121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11283, 16473, 5.\nAnswer: 5, 11283, 16473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 3*l**4\/8 + 16*l**2 - 2*l. Give y(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {h: 7, x: 7, e: 2}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7772865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 207 + 49. Let u be 4\/(-3)*(-9)\/2. Suppose -u*c + 2*c = -a. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198.7095 years to months.\nAnswer: 2384.514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 9, h: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 12.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 4*w**2 + 7*w + 6. Let u be i(-5). Suppose -d + 3*d + 44 = 0. Let z be (-40)\/d + (-6)\/3. Sort u, z, 0.4 in increasing order.\nAnswer: u, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -1654*d + 1655*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 89*k**2 - 48*k - 46*k**2 - 46*k**2 - 192.\nAnswer: -3*(k + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 3. Let t be (-42)\/(-8) + (-1)\/4. Suppose -7 - 3 = t*a. Calculate n(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 3*p - 5*g, -p - g + 18 + 3 = 0. Let x(h) = 11 + p - 3*h + h + 19. Does 2 divide x(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 - 2.3. Which is the nearest to -2? (a) r (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37742 divided by -226\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -601265.04?\nAnswer: 601264.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29717 + -44426917\/1495. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/4 + 67*a**4\/2 - 797*a**3\/2 + 61*a**2 + 14265*a\/4 - 6525\/2 = 0. What is a?\nAnswer: -145, -3, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 4*p**2 + 6*p - 4. Calculate i(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*t - 1. Let i(l) = l**2 - t - 1 + 6 - 2*l**2 - 4*l. Determine i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**3 - 4*y**2 + 2. Let p = 32392 - 32385. What is the remainder when j(-4) is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 + 29 + -35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*u + 582 = 2*w, 2*w + 2*u = 388. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -504552, -1009779, -1515002, -2020221, -2525436, -3030647, -3535854?\n\"Answer: 2*b**2 - 505233*b + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 0 - (3 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -4*n**3 + n**2 + 20*n. Suppose -3*i + 6*i + 6 = 0. List the prime factors of g(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feeeeeef. Give prob of sequence fef.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (81 + (-63 - -38) - 19).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 2. Let a(t) = 65. Let d(b) = -a(b) - 3*n(b). Let p be d(24). Solve 0*w - p = k + w, 1 = 3*k + 4*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567 is divided by 113?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 1539 = 18*c + 27*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -446*r - 12 + 25 - 13 as v + z*r and give z.\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (-3500)\/(-70) - (33\/(-27) + 0)\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(4\/7))\/h*h*h**(-9))\/(h\/(h\/((h\/(h*h**(-13)))\/h))*h**(-16)*h*h) assuming h is positive.\nAnswer: h**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149828788 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2. Let w(u) = -384 + 836 + 5695*u**2 - 452. Determine w(s(v)).\nAnswer: 51255*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4, -5, 27 in decreasing order.\nAnswer: 27, 5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15309 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1058 + 1063. Solve -y - 5*w = 11, 2*w + 3 = -2*y + v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 313 = -z, -32*z - 5*m + 1625 = -27*z. Calculate the remainder when z is divided by 106.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2 + 5*t**2 - t**2 + 5 - t**3 + 7*t + 4*t**2. Is l(8) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 1) + 0\/(-1) - -193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 + 3)*(-h - 2*h + 5*h) - 1 + h + 1)*(278*h - 81*h**2 + 14032*h**2 - 278*h) in the form x*h**3 + k*h**2 + q + w*h and give x.\nAnswer: 69755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127765901?\nAnswer: 127765901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 104166 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168130261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0 + 60*y + 0*y**2 + 2\/39*y**3 + 1\/26*y**4 - 1\/195*y**6 + 0*y**5. Factor a(r).\nAnswer: -2*r*(r - 2)*(r + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)\/(n\/(n\/(n\/((n\/(n**(-9)*n*n)*n)\/n)*n)*n)))**(-20\/3) assuming n is positive.\nAnswer: n**(-200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*l - 43*l = -2227 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 2, v: 1, x: 2, m: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-187)*2\/(-5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnyhkkkkkdndhdk. Give prob of sequence yn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260156.\nAnswer: 2, 13, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.967 - -0.215. Let g = 0.202 - 0.08. Let d = i + g. What is d rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:42 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 686524 = 27*t + 3289. List the prime factors of t.\nAnswer: 3, 5, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0*c - 3. Let d = c - -4. Let f be (8\/d)\/((-4)\/(-6)). Solve -5*b - 30 = f*z, -2*z - 2*z - 14 = -3*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 0.14, 2, 15, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -20*z + 71. What is v(9)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3284 - 1268 = 469*g - 385*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 278264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 156 = -3. Which is the nearest to -1\/2? (a) s (b) -2\/13 (c) 4\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-396 - -389) + 1 + 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113394528 - 2286?\nAnswer: -2113396814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - l + 4. Let m(w) = -w - 1. Let o(i) = -f(i) - m(i). Let p be o(-3). Is -1\/13 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*h - 5664, 0*h + h = 3*d + 1427. List the prime factors of 7\/((-140)\/h)*-4.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-74)\/8 + 3\/12. Suppose 5*n - 1 = -3*b, 27 = 2*b + 3*b + 2*n. Let m = b - h. What is the remainder when 31 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -25*k**2 + 3*k + 1. Calculate h(-2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 5*l - 3 + 3*l + 3*l. Let q(x) = -x**2 + 11*x + 10. Let y be q(11). What is the remainder when 12 is divided by n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.06 + 2. Which is the third smallest value? (a) j (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y**2 - y - 1. Let t be i(-2). Let d = 72 - t. Suppose w - x = 47, -3*x - d = 3*w - 4*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -318 + 323. Solve 0 = 10*o - v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*z**2 + 2 + 6*z + 0*z + 59*z**2.\nAnswer: -30*z**2 + 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2079053*a**2 - 600882 wrt a.\nAnswer: 4158106*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - c + c)*(-109*c + 31 + c**2 - 94*c + 235*c) as y*c**3 + h*c + i + n*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 2:34 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o. Let x be (-4)\/2*(o + -1). Let b(j) = 3*j**3 - 3*j**x - 3*j - 3 - 2*j**3 - 2*j. Calculate b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 16*v - 781. Let d be x(49). Suppose -5*p + 5*n = 45, 2*n - 11 - 11 = 3*p. Let g be (3\/p)\/((-9)\/36). Solve -g*f - d = -15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 69, 1.4, 0.14, -6?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 34. Suppose -3*l + 2*j + 2 = -5, -4*l - j = -13. Let y(b) = l + 3*b - 5 - 1 + 2. Let p(f) = 16*f - 5. What is a*y(s) + 2*p(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2153.8 - 2117. Let o = -0.058 - -37.058. Let d = o - j. Which is smaller: -20 or d?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*r = -90, 158 = -5*u - 0*r + 3*r. Let t = -35 - u. Let m(n) = 3*n + 2. What is m(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13696 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.5 + 12.8. Sort 0.1, 0.008, 1\/3, r in decreasing order.\nAnswer: 1\/3, r, 0.1, 0.008","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**14)\/r)\/(r\/r**(-22))*r**(-17\/6)\/r*r**(-37) assuming r is positive.\nAnswer: r**(-299\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*b + 327 = 0, -4*p - 5*b = -358 + 70. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/744*2*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**5\/30 + 13*l**4\/24 - l**3\/3 + l**2. Let t = 570929 + -570936. Determine g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.099? (a) -6\/7 (b) 71 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47164 is divided by 2944.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05352 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 - -119.69. Let n = -0.31 - q. Let h = 233\/5 + -47. Which is the third smallest value? (a) h (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 59\/105 + 792\/(-5940). Put -5, 0.2, 78, n in increasing order.\nAnswer: -5, 0.2, n, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -9.2. Let o = -0.9 - p. Let z(q) = -q**2 + 4*q - 1. Let l be z(3). Which is the nearest to o? (a) 3 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-2*(sqrt(2880) + 2*sqrt(2880)))\/((-4*sqrt(30)\/sqrt(3) - sqrt(10)) + sqrt(10) + 2*sqrt(640) + sqrt(10)))**2*1)*2.\nAnswer: 21074\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t - 22. What is x(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11578, 46241, 104020, 184921, 288950, 416113?\n\"Answer: g**3 + 11552*g**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823406 is divided by 68616.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 2. Let f be 2*(-1 - -5 - 16). Let m = -22 - f. Let l be a(m). Solve l = k + k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 820 and 60694350?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61923 - 3?\nAnswer: -61926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 13*h - 10*h = -9, -4*o - 2*h = -14. Solve -11 = -o*s + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b73 (base 13) in base 14?\nAnswer: 5731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*1 - (-4)\/((-11)\/(77\/28)). Factor -2\/5*l - 4\/5*l**2 + 0 - 2\/5*l**r.\nAnswer: -2*l*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1521437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4357841.\nAnswer: 431, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -20 in decreasing order.\nAnswer: 3, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 95, 103, 117, 143, 187?\n\"Answer: o**3 - 3*o**2 + 10*o + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135018 + 135016 - 270034 + 1550*s.\nAnswer: 1550*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 62. Let g = 7 + -11. Is g equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)*h*h**(-7))**(-23))**39 assuming h is positive.\nAnswer: h**9867","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 27*h + 22. Let u be r(-26). Let i be (u\/(-20) + 64\/(-20))\/(-3). What is the highest common factor of i and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.7 times -109.1?\nAnswer: 7276.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1508, -2144, -3458, -5804, -9536, -15008, -22574, -32588?\nAnswer: -45404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40124209 is divided by 1647.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 906 = -2976. Suppose -5*d + k = 2*b - 0*d, -5*b + 2*d = -877. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m + 7. Let s(f) = -f**3 - 8*f**2 + 6. Let o be s(-8). Give k(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - n**2 - 4*n. Let i = 13 - 7. Let c = 28 + -26. Let g(l) = -2*l**2 + 3*l - l**3 + 2*l**c + l**2. Determine i*g(u) + 4*t(u).\nAnswer: 2*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = o + 13, 0 = 8*o - 6*o + 2*g - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 2, -2\/357, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6*u = 3*u - 55, 3*u = -4*a - 47. What is the common denominator of (-249)\/(-4)*a\/36 and 5\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h. Let f be t(6). What is the tens digit of (f\/(-27))\/(2\/153)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -8*s**2 + 0*s + 0*s**3 - 1\/20*s**5 + 0 + 0*s**4. Let a(t) = -2*t. Give a(m(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + z**4)*(3 - 3 - 2) + 2*z**4 + 0*z**4 - 4*z**4 + z - z + 2*z**4 - z**4 + 1 - 1 - 4*z**4 + z**4 + z**4 - 21*z**4 - 5*z**2 + 3*z**2 - 11*z + 13*z.\nAnswer: -26*z**4 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*z - 5*n + 373, 3*n + 524 = -5*z. Let b = z + 108. Solve b*d = 24 + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 765641 or 765642?\nAnswer: 765641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-15))\/(-4))\/(-9*1\/(-30))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:37 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11023 (base 5) to base 12.\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (66\/8)\/(1\/4). Suppose 2*v + 8 = 0, -3*b - 2*v + v + 134 = 0. Let a = b - w. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2798 + 7149. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 873900.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 6960.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3089796035?\nAnswer: 5, 14557, 42451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 + 2*p**3)*(-11266*p - 2*p**2 - 20095051 + 20095050 - 10927*p).\nAnswer: -4*p**5 - 44386*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2464*v + 1131 + 388 = -2513*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 405055 (base 6) in base 11?\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -8*m + 4. Let h be 2\/(-6)*(-7 + m). Solve 0 = 2*t - t - 4*w - 16, t - h = w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:51 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**0*f**(2\/15)*(f\/(f\/(f*(f*f\/(f**(1\/6)*f))\/f*f*f)))\/(f**(-1\/7)*f) assuming f is positive.\nAnswer: f**(863\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28331 is divided by 436.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a - 30 = 0. Calculate the remainder when (-5)\/10*(-97 + -17) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*x = 2*x - 230, 4*l - 5*x = 424. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 + 6*p + 7. Let n(o) = -4*o**2 + 5*o + 6. Let j = 32 - 39. Calculate j*n(r) + 6*x(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 355282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -31*i + 14. Let c be 9\/(-12) + (-71)\/(-4). Suppose 0 = 2*v + 3*z + 2*z - 3, 0 = 5*v + 3*z - c. What is the smallest common multiple of v and o(-2)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24888 and 408?\nAnswer: 24888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 25*o + 260. Let v be h(8). What is the common denominator of -163\/330 and (-97)\/8 - (0 + v - -3)?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghjjgjgh. Give prob of sequence jj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -3 + (-44 - (11 - 89)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*o + 2*p, 3*p + 21930 = -4*o + 21966 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729536258?\nAnswer: 2, 11, 33160739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118 + y**2 - 3*y + 107 + 0*y**2 + 4*y to f*y**2 + o*y + w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 8:20 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4254523 is divided by 850903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 + -194. Let l = 35 + -29. Suppose -l*g + 4*g - 36 = 0. Let i(n) = -n. Let b(u) = -u**2 - 9*u. What is g*i(k) + x*b(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(4)\/sqrt(2))**2 + 3)*2.\nAnswer: -4*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 28. Let z be 1*-7*(-3 - 76\/t). Factor 0 - 10\/3*k**3 + 0*k + 6*k**5 + 2\/3*k**2 + z*k**4.\nAnswer: 2*k**2*(k + 1)*(3*k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4281, -0.5, -2\/3 in descending order.\nAnswer: 4281, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 77121 = 8*c. Does 51 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -14. Let f(h) = -16*h - 20. Let s be f(-8). Calculate the highest common factor of s and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 221, 373, 461, 485, 445?\n\"Answer: -32*i**2 + 248*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*s = 22*s - 516. Solve 2*w + s = 0, 0*g - g + 2*w + 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.231 times 11.75?\nAnswer: -49.71425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - -2) + -3 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 51*w - 174. Let o be a(-21). Solve 0 = -19*v + o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + 0.2. Let p = 2 + 4. Let f = p + -11. What is the biggest value in q, -3\/4, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7086*o - 637826. Determine w(-90).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usuqmqusu. What is prob of picking 2 u and 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 6*u + 5. Let d be h(5). Suppose -60 = 40*c - 140. What is the nearest to d in 0, c, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8622913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**2 - 7. Let p(j) = 2*j**3 - j**3 + 7 - 13 + 6*j**2. Give -7*p(m) + 6*x(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(5 + 0 - 6). Suppose -33 = -2*q - w*g, 4*g + 34 + 10 = q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -35) + -16 + (9 - ((-1 - 2) + 4))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 37569 = -3*q + 205241, 5*x = 2*q - 161840. What are the prime factors of q?\nAnswer: 2, 5, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9525 + -9528. Which is the fourth smallest value? (a) 0.5 (b) 3 (c) 0.1 (d) 521 (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2)*(5 - 4 + 1)*(5 - 3 - 7)*(3*j - j - 3*j)*(1 + 1 + 3) to the form z*j + i and give z.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -85. Let x be (1*3)\/((-3)\/y). Suppose -x - 17 = -5*t. Calculate the lowest common multiple of t and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2 plus 18.277578504?\nAnswer: 11.077578504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 14. Suppose 5*w - 2*k - 30 = -g*k, -k + 20 = 3*w. Suppose -3*r + 6*r + w*a - 118 = 0, 2*a = 4. Calculate the lowest common multiple of r and 5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c65 (base 14) to base 11.\nAnswer: -191a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h*h*h*h*h*h**4*h))\/h))\/(h\/h**(3\/4))*(h**(2\/3)*h)\/(((h*h**(1\/6))\/h)\/h))\/(((h\/h**(2\/7))\/h*h)\/(h\/h**9))**(-25) assuming h is positive.\nAnswer: h**(6471\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6327?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*t - 4*z, -119 = 5*t - 6*t + 23*z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 327.3 + 0.443.\nAnswer: 327.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-49) - (-1)\/((-7)\/(-438)). Let a = z - 66. Let l be (a\/(-2))\/(-4 + (-22)\/(-5)). Solve -l*y + 6*y = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:25 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*l**3 + 2644*l + 194*l**3 + 16*l**2 + 1760 - 86*l**3 + 870*l**2 = 0. Calculate l.\nAnswer: -440, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 plus -1253341?\nAnswer: -1253340.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13698 is divided by 2705?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61, 144, 267, 448, 705?\n\"Answer: 3*i**3 + 2*i**2 + 56*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*q + 3*q - 3*q + (-1 - 2 + 5)*(1 - 1 + 2*q) + 11*q + 4*q - 57*q + 2 + 2*q - 2.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnz when three letters picked without replacement from nnznnnnn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20201102001012 (base 3) in base 14?\nAnswer: -68d3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:55 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = q - 7567 + 7601 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c7ad (base 15) in base 6?\nAnswer: -1553531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 - 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -324*t + 35. Suppose 209*h - 6 = 210*h. Is o(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*n + 12, -7 + 3 = t - 3*n. Suppose -116*l = -118*l - 46. Sort -2, 0, t, l.\nAnswer: l, t, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 11:21 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 158803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3 - 815*k**2 + 57057*k - 959409 = 0.\nAnswer: -881, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Let u be -6*(-2 - -3)\/(-3). Let t(b) = u + b**2 + 2*b - q + 0*b. What is t(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 985 and 11229.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 10)\/((-43)\/387)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 828 and 1556433?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5273a6 (base 11) in base 6?\nAnswer: 30032541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 13*u - 21 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdbbbbgbbdbbbvdgdpb. What is prob of sequence bpg?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-120)\/(-220) + 6750954\/99?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(190) + sqrt(190)*1 + sqrt(190))*-2 + sqrt(190))*-3)\/((sqrt(250) + 1*(sqrt(250) - sqrt(250)*-1))*4).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -608 less than or equal to -597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5 = b + 12, 19021*l - 19026*l = 8*b + 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -667 + 670. Differentiate 6*o - 54*o**2 + 17 + 54*o**2 + 8*o**t + 125 with respect to o.\nAnswer: 24*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*(11 + -21). Let v(j) be the second derivative of j**5\/30 - j**4\/6 + 3*j**3\/2 + 7*j. Let i(b) be the second derivative of v(b). Determine i(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156817481 + -5.66\nAnswer: 156817475.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(10\/6 + -1). Suppose -4*u + 3*u - c = -4, -2*c + 13 = -3*u. Let m = u + -4. Put 4, h, m in ascending order.\nAnswer: m, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1501 - -6067\/4. Let k = -2715515969\/260720 + 194\/16295. Let c = -10412 - k. Calculate the common denominator of c and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 332193559 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*a)*(3 + 0 - 6)*(-4*a**3 - a + a + (a**3 - a**3 + 2*a**3)*(4 + 1 - 7)).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852 is divided by 165?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -0*r. Suppose -10*f - 117 + 37 = 0. Is r less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - -1*0\/3. Suppose 0 = -z + 3. Suppose z*m - 9 = 6. Solve -25 + g = m*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45 - -30) + (-1 - -3). Let a(u) be the third derivative of u**5\/60 + 5*u**4\/12 - 9*u**3\/2 + 3*u**2. List the prime factors of a(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + z**2 - z - 1. Let b(s) be the first derivative of -17*s**4\/2 + 17*s**3 - 51*s**2\/2 - 51*s - 1456. Give -b(g) + 51*c(g).\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((4\/(-34))\/(208\/104))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8532432 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 c be (-2)\/(1 + 28\/(-32)). Which is greater: c or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**5\/10 - 11*t**4\/36 + 2*t**3\/9 + t**2\/6 - 179*t. Let v(z) = 0. Calculate z.\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 10572, -30.\nAnswer: -30, -24, 10572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 1. Let w(n) = -20*n**2 + 25. What is 50*r(h) + 2*w(h)?\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -2, 0.4, -0.01, -5\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (0 + -14 + 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzy. What is prob of sequence vy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 10*q**2 - 11*q + 9. Let u be c(-9). Suppose 3*l + u = -4*y, -2*l - 19 = -3*y + 6*y. Let g = y + 17. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(6*s**5 - 3*s**5 - 4*s**5) - 61*s**5 + 58921*s**3 - 58921*s**3 + 0*s**3 + 2*s**5 + 0*s**3.\nAnswer: -60*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 45*d**3 + 3*d**2 - 3*d + 1. Let l be r(1). Let a = l - 2. Calculate the greatest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 588969, 1178529, 1768089, 2357649?\n\"Answer: 589560*x - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Let j(s) = 5*s - 4. Let d(u) = -j(u) - 2*m(u). What is the units digit of d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 15*d - 1207 = -54*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 34 = -4*c + 4*v, 5*c = 2*v + 28. Find the third derivative of -1386*t + 198*t**6 + 1372*t - 23*t**6 + c*t**2 wrt t.\nAnswer: 21000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/114)\/((-10)\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10083 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 5. Let b be a(2). Solve -2 + b = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + -561. Let t = g - -630.183. Round t to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c02d (base 16) to base 10\nAnswer: -245805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 7*k**2 + 3*k - 23. What is y(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 22 - 10*s**3 + 17*s**3 + 15*s - 14*s - 16*s**2 - 8*s**3. Give u(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*i**5 - 2*i - 44 + 70*i**5 + 58 wrt i.\nAnswer: 1800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 1, v: 1, d: 2, f: 1, b: 1}. What is prob of sequence fbbk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r - 24. Suppose -3*f + r*f = 12. Suppose -5*u + 16 = -2*u + 2*z, 0 = 5*u + 2*z - 20. Solve -f = u*q - 0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3980 is divided by 825?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4225769\/5 or -845155?\nAnswer: -845155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 146\/9 + 8\/(-36). Suppose -i + d = 3*i. Suppose -2*o - t + 410 = 0, o + 593 = 4*o - i*t. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -8 + (-6 - -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (13 - (-13 - -11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*g = -1810 + 3391 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7003621 (base 9) to base 11.\nAnswer: 2112a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -555024, -554783, -554542, -554301, -554060, -553819?\n\"Answer: 241*o - 555265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.718 in 11, -0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(2057) - (sqrt(2057) + 1)))*1)**2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-19980)\/(-814) + (-6)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 7. Let t be (6\/16)\/((-9)\/4). Which is the biggest value? (a) 1\/6 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*l + 2, 3*v = 6*l - l - 7. Let s = l + 0. Is -1 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 18*j + 9*j = -147, 5*k - 200 = -j - 365 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -210*g + 213. Let v be c(1). Suppose -o + p + 3 = 0, 5*o + 0*p + 9 = -p. Let a be 0\/(-1 + 1\/o). Solve a = -v*x - z - z + 15, x - 18 = -5*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4814*o**4 + 152*o**3 - 2*o**2 + o - 1779?\nAnswer: -57768*o**2 + 912*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80 - -36) + 80 + -4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.1. Let x be (0 - -2) + 8*13\/(-26). Let u(l) = -l - 1. Let j be u(-5). Which is the nearest to r? (a) 2\/9 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h**5 - 5236*h**4 - 360061*h**3\/2 - 1138129*h**2\/2 - 524280*h - 130050 = 0 for h.\nAnswer: -255\/4, -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 54 = 7*v. Let g be 27\/v*4*2\/10. Find d such that -2\/5 + 2\/5*d**3 + g*d**2 - 2\/5*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -17. Let d(w) be the third derivative of v + 0*w**3 + 2*w**2 + 1\/180*w**5 + 1\/72*w**4 + 0*w. Solve d(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161798*f**3 + 102958*f wrt f?\nAnswer: -970788*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -5, 464, -1 in ascending order.\nAnswer: -5, -1, 3, 5, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1.6254.\nAnswer: -0.48762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*f - 12. Suppose -13*q - 3*q = -240. Suppose -109 = -6*p + p - 2*o, p = f*o + q. What is the remainder when p is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.223, 1, 1\/361, -3 in increasing order.\nAnswer: -3, -0.223, 1\/361, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -771*v**3 + 3*v**2 + 3*v + 3. Let a(z) = -769*z**3 + 2*z**2 + 2*z + 2. Calculate 3*a(b) - 2*i(b).\nAnswer: -765*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-58)\/261 + (-38)\/(-9). Let v(d) = 6*d**2 - 4*d + 5. Let q be v(j). Calculate the highest common divisor of q and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 496.772 to the nearest ten.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = 4. Let n(g) = 3 - 338045*g**2 + g - 5 + 338046*g**2. What is the lowest common multiple of n(x) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -4) + (-5)\/(-25)*-14. Let n = 16.35 + -4.35. Which is the fourth smallest value? (a) -4 (b) h (c) -3\/7 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402955589 is divided by 578.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/(-90)*480\/3780.\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088 (base 13) in base 15?\nAnswer: 344c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (0 - -9)) + 3. Let o = l + -174. What is the common denominator of 15\/11 and o\/198 + 1*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 30*o**2 + 15*o**5 + 0 - 205\/4*o**4 + 105\/4*o**3 + 5*o = 0.\nAnswer: -1\/3, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -5*q**7\/21 + q**4\/4 - 2*q**3\/3 + 4*q**2 - 11*q + 2. What is the second derivative of b(i) wrt i?\nAnswer: -200*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 25, 2 in increasing order.\nAnswer: -5, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*33\/63 - 3) + 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3 + 33020*m**2 - 1158838*m - 11382960 = 0.\nAnswer: -16545, -8, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152 + -135.7. Let g = -0.3 + r. Let m = g + -16. What is the smallest value in 3, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 789\/98 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1257*4.4.\nAnswer: -5530.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 844 - -4.\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 6*z + 11. Let h be (10 + -5 + z)\/(-2). Suppose h*o - b + 2 = 0, -5*b + 10 = -0*b. Solve 0*g + g + 3 = o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 55*c - 6. Let d be w(0). Let n(y) = -2*y - 6. Let x(t) = -t - 3. Determine d*n(g) + 13*x(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(637)*-1 - sqrt(637))*-4)**2 + -4 - (sqrt(156) + (sqrt(156)*1*-1 - sqrt(156)))\/((1*sqrt(36))\/sqrt(3) + sqrt(12)).\nAnswer: sqrt(13)\/2 + 1019196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -4*d + 19 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 11514 = -16*n - 11766 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*w - 138, 2*w - f + 3*f - 54 = 0. What is the remainder when w is divided by (0 - 0 - 1)*-9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5025562*d**2*q**5 - 2*d**2*q - 42*d**2 + 4828*d*q + q**5 wrt q?\nAnswer: 100511240*d**2*q**3 + 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppfhppqpqhppwpwpw. What is prob of sequence hq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d (base 14) in base 4?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-20) + 350\/(-24). Let w = -15 - b. Put -4, w, -0.2 in decreasing order.\nAnswer: -0.2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 121*y - 4. Let s(q) = -39*q**2 + 6*q - 6. Let r(n) = 111*n**2 - 17*n + 17. Let p(f) = 6*r(f) + 17*s(f). Give x(p(d)).\nAnswer: 363*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 2455189388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.838 - 2.3365. Let g = c - -0.5. What is g rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4148*w - 61. Let j be v(3). Let t(l) = -11495*l - 3. Let m be t(4). Let s = j + m. Round s to the nearest one thousand.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uiiuiuiuuuuuuuuuuuuu.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((5616\/(-792))\/39)\/((-19)\/(-11))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3004 divided by -1502\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 20 - x**2 - 28 + 46*x - 45*x. Let k be 7 - 3 - 8 - -6. Suppose m = -k*m. What is w(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*44\/(-80)*14\/(-77)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -280 - -165. Let d = i - -119. Suppose 4*y - 2 = j + 3*y, 2*j - y = 1. Put d, 0, -1, j in ascending order.\nAnswer: -1, 0, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 5*o. Let b be (0 + o - 0)*1. Is 2 + 1 + (20 - b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52.37894nm?\nAnswer: 0.00005237894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e4 - 178?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 23, 46, 87, 152, 247, 378, 551?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 3*g - g + (2*g - 13*g - 7*g)*(-1 + 3 - 1).\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 4*g - 2. Let b be s(1). Is b + (-15884)\/(-10) - 10\/25 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 8325\/2220*(-12)\/(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30796646 equal to 30796646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2\/4 + 2734071*q\/4 + 166800657\/2 = 0.\nAnswer: -122, 911479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1033, -1543, -2091, -2695, -3373, -4143, -5023?\n\"Answer: -3*f**3 - f**2 - 486*f - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyfjjjwwjyj. Give prob of picking 2 w.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 - -5)*6\/(-8). What is the common denominator of -38\/5 and 318\/198 + 2\/q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2363, -4299, -6235, -8171, -10107, -12043?\n\"Answer: -1936*v - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 907576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 90446424*l - 681712967865648.\nAnswer: -3*(l - 15074404)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -3 - (-8 + 7)) + 1 + 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 63869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 263, 517, 783, 1061?\nAnswer: 1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.161782 years to millennia.\nAnswer: 0.007161782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1.2. Let y be 41364\/43 + -39 + 40. Let u = y + -963. Which is the biggest value? (a) 3 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/5)\/((o\/o**0*o)\/o)*o*o*o\/(o\/(o*o**7*o)*o)*o**(-2\/17)\/o*(o**(-1)\/o)\/o*o\/o**(-2\/15)*o*o\/o**(1\/2)*o*o**5 assuming o is positive.\nAnswer: o**(6587\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139100 is divided by 314.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5427 and 10251.\nAnswer: 92259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 8. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2864, 0, 27, -8 in increasing order.\nAnswer: -8, 0, 27, 2864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thtthttthtt. What is prob of sequence tthh?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, -2\/3, -16.4 in descending order.\nAnswer: 0.2, -2\/3, -3, -16.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**3 + 42*g**2 + 39*g + 22. Calculate the least common multiple of 676 and t(-6).\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 5f64?\nAnswer: -5f5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 45*k + 1345. Let x be a(-30). What is the third biggest value in x, -2\/5, -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = p - 7, 5*o - 4*p + 43 = 9. Let n(u) = -27*u + 7. Let k(b) = -b + 1. Let z(f) = 6*k(f) + n(f). Is z(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 4*z**2 - z - 2. Let x be r(-4). Let q = 6 - x. Solve -w + 4*h = q*w - 25, -5*w - 5*h = -25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 702, 1366, 2016, 2646, 3250?\nAnswer: 3822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -11 - 4. Let p(q) = q - 16. Let j(w) = w - 11. What is y*p(i) - 7*j(i)?\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 + -98 + 7 + 11 + -3 + -58.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*h - 5*p, -9*p + 6*p - 21 = -3*h. What is the third derivative of 24 + 85*a - 151*a + 3*a**h - 80*a**5 + 66*a wrt a?\nAnswer: -4800*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 9. Let y be (-2 - 5\/(-2)) + 1\/s. Suppose -7*a = -y*a + 35. Put 7, 1, a in descending order.\nAnswer: 7, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*f**4 + 145*f**2.\nAnswer: 696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 w when four letters picked without replacement from wpwpwwwp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/17 (b) 279.563 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-101)\/(-2))\/((-12)\/(-120)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 1 o when three letters picked without replacement from bjyjbyybozyv.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 119643265 divided by 1\nAnswer: 119643265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:56 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 534\/11 or -2\/7?\nAnswer: 534\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 0*i - 3*i**2 + 3\/7*i**3 + 1\/210*i**5 + 0 - 1\/14*i**4. Factor q(v).\nAnswer: 2*(v - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 2*o + 2. Determine c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + -3.72. What is o rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2)*d*d*d**(-1\/10))\/((d\/d**(-4))\/((((d\/d**(5\/4))\/d*d)\/d)\/d*d)))**(-2\/47) assuming d is positive.\nAnswer: d**(77\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(sqrt(95)*-2 + sqrt(95))*2*-3)\/((sqrt(5040)*1)\/((sqrt(49)*-3)\/sqrt(7))).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**4\/12 + 2*i**3\/3 - i**2\/2 + 4*i. Let y be r(2). Sort y, -1, 1 in decreasing order.\nAnswer: y, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 16) + -20 - (0 - -23)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -12, -y + 0*c - 5*c + 4 = 0. Suppose -17*u - 76 = -y*u. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.99973 + 22. What is y rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*c**6*q**2 + c**5*q**3 - 16*c**2*q**2 + 2*c**2*q - 9*c*q**3 wrt c.\nAnswer: -7200*c**3*q**2 + 60*c**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1134\/(-3780)*20\/96.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13*j**3 - 26*j**2. Let h(y) = y**2. What is 26*h(w) + r(w)?\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3 + 3 - 3 - p + 3 - 2 + 2*p + 2 + (3 - 1 - 3)*(0*p - 2*p + 0*p))*(64 - 65 + 5*p + 180*p**2 - 7*p).\nAnswer: 720*p**3 - 8*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0 - 1\/2*t**3 + 0*t**2 + 7*t - 1\/4*t**4. Find the second derivative of a(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 29*i + 10. Let n be h(10). Suppose -4*o = -o - 78. Suppose n = -s + 55 + o. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1203 + 1202.97. Which is greater: 4 or o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/6 + 73*w\/6 + 170\/3.\nAnswer: (w + 5)*(w + 68)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52282752*k**3 + 33*k**2 - 152*k + 2126 wrt k?\nAnswer: 313696512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 1\/14 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 6*g - 104. Let i(x) = x - 1. Let h be i(-5). Let a be 0 - (4*h - 2). What is the highest common factor of g and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*j = 4, -2*j = 4*m + 2*j - 32. Calculate the smallest common multiple of 13 and m.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0774 (b) 1 (c) -13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105, -152, -209, -282, -377, -500?\n\"Answer: -n**3 + n**2 - 43*n - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 0.008 (c) 8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27551 (base 9) to base 5\nAnswer: 1044201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -676, -1000, -1326?\nAnswer: -1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23064 + 23067. Solve -7 = h*l - 2*s, -44*l - 20 = -49*l - 3*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8037, -16070, -23989, -31734, -39245?\nAnswer: -46462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:00 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -436 + 682. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 4. Let h be r(0). Let p be (-38)\/(-14) - h\/(-14). Let l(q) = -q**2 + q + 4. Let c be l(p). Let i(d) = -3*d**2 - 3*d - 2. Calculate i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 + -52. Let f = m + 40. Let n = f + -109.08. Round n to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a factor of 673944772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 373112 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3141 and 6631.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -6*s + 5*s + b, 2*b + 473 = 3*s. Suppose -j + s - 38 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -92*y + 889 + 149 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 99. Let l = -178.5 + 143. Let r = l + w. What is the third biggest value in 0, r, -4\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u\/(u\/u**(-6)))\/u))**20 assuming u is positive.\nAnswer: u**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2316791624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.6 - 21.2. Let m = p + 30. Let j(o) = o**2 + 5*o - 8. Let l be j(-6). What is the smallest value in m, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c**4*h**3 + 41*c**4*h - 18*h**3 - 6 wrt c.\nAnswer: -16*c**3*h**3 + 164*c**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1371 + 7.1371. Is q >= 0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*k - 26*k**2 + 64*k - 4*k**2.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -109 divided by -79123\nAnswer: 109\/79123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9787*k**3 - 1097*k**2 wrt k.\nAnswer: -58722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2476 and 109482?\nAnswer: 135538716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39744152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18503772 and 588.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 103*q**2 + 116*q - 624. What is the hundreds digit of a(97)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 375, 0, 24.\nAnswer: -4, 0, 4, 24, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38247153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, 2\/5, 5.8, 1\/3, 0.04, 0.059, -1?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -376 - -370. Suppose 0 = -4*x - 4*a - 12 + 16, 5*x - 21 = 3*a. Is y smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - 638*g**2 - 222*g + 1931. Determine n(213).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -217996, -218733, -219470, -220207, -220944?\n\"Answer: -737*v - 217259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/1)\/(-2) + -3. Let a be (2 - o)*4\/(-4). Calculate the greatest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 25*j + 2. Let s be o(0). Suppose -4*n = -b - 12, -32*b + 20 = s*n - 36*b. Solve -n*t + 5 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bllbkllkbblkkl. What is prob of picking 2 l and 1 k?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(3\/7)\/p)**30 assuming p is positive.\nAnswer: p**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -424 plus 7?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10510 - -310531?\nAnswer: 300021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = l, -96*l + 91*l = 3*d + 31 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-2))\/(11\/(-31009)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, -0.1, 0.2, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -232. Let z = g + 186. Which is the biggest value? (a) -8 (b) 3 (c) z (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 350 = 4*n, 0 = -5*n - 3*b + b + 439. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + b + 3*b)*(1202*b**2 - 1186*b**2 - 2137*b**2 - 2) to the form w*b + m*b**3 + l + f*b**2 and give m.\nAnswer: -4242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12917.4 times -18\nAnswer: -232513.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -2 - (6 + 1 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9890 + -9891. Do 3\/2165 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215413 (base 6) to base 13.\nAnswer: -82cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/19, -7, -23, -11, -653?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in -3\/5, -0.04, 2\/27, -0.2, -0.3?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*p - 2*p + 2*l, 16 = -p + 4*l. Let z be ((-3)\/6)\/1*p. Solve 3*o - z = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 24, 56*i = 4*l + 45*i - 1624479934. Round l to the nearest one million.\nAnswer: 406000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b**2 + 2 - 8*b**2 - b + 2*b**3 + 0 to r + j*b + i*b**3 + x*b**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 298955223 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or -130?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2 + 1. Suppose 0 = -36*c + 40*c - 4. Let a(v) = 2*v**2 + 2. What is c*a(q) - 2*k(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101001000100001 + -111010?\nAnswer: 1001101000111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 40*z**3 + 2*z**2 - z - 4. Let i(t) = 121*t**3 + 5*t**2 - 3*t - 11. Calculate 4*i(v) - 11*y(v).\nAnswer: 44*v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 307\/55 - 59239\/385. Let s = m - -148. Which is the smallest value? (a) 1 (b) 1\/6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6645?\nAnswer: 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000120011112 (base 3) in base 4?\nAnswer: -2010130202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0.9. Let i = 0.58 + -0.6. Let c = i - 0.98. Sort c, y, 1.\nAnswer: c, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 13\/3*f**3 - 1\/4*f**4 + 11*f + 0*f**2 - 48. Calculate r(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*l**3 - 67*b*l**2*w + 12*b*l**2 + 4*b*l*w + b*w + 13*l**3*w - 117493*l**3 - l**2*w - 67*l**2 wrt l.\nAnswer: 6*b + 78*w - 704958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, e: 5, k: 4, n: 3, m: 3}. What is prob of sequence rrn?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 33, -17, -5 in increasing order.\nAnswer: -17, -5, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/39400 and -9\/137900.\nAnswer: 275800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89430?\nAnswer: 2, 3, 5, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (25\/80)\/((-105)\/(-252))*8\/18. Let v = -0.2 - -1.2. What is the second smallest value in -7, 0.4, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1\/4 (c) 0.06 (d) 0.4 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 102415*h - 265. Let f be b(40). Suppose -5*g = -2*n - 2732025, 2*n - 3*g - 1364320 = -f. Round n to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 3*s, -2*g = 5*s + 29. Find the common denominator of (-3)\/g + -3 + 6 and 0\/1 + 26\/20.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2407864089 to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**2 + 7*f**2 + 13*f**2 to the form g*f**2 + n*f + v and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -413527 times 0.5?\nAnswer: -206763.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r + 4939 - 5182. Sort -12, -5, r in descending order.\nAnswer: r, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2065*t + 2062886. Give d(-999).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 16) to base 12.\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3824 - 264 = 40*h. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-156)\/(-182)*(-14)\/(-4). Let q be (s - 18)*(-38)\/285. Solve 3*l - 4*z = 4*l - 22, 2*l + 6 = q*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6264 rounded to 1 decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + t**4 + 1)*(-3 + 5 + 0)*((-2 + 1 + 0)*(2 + 3 - 1) - 5 + 2 + 2) to the form q*t**2 + m + b*t + h*t**4 + d*t**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/13)\/((3705\/(-26))\/(-19))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0550832 microseconds?\nAnswer: 0.0000550832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270 (base 10) to base 2.\nAnswer: 100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95777140 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (39*12\/8)\/(-12) and -91\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665946663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -5*u**8\/168 + 5*u**4\/24 + 10*u**2. Find the second derivative of o(j) wrt j.\nAnswer: -200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**5\/5 - 1716*s**4\/5 - 99429*s**3\/5 - 1650432*s**2\/5 - 749124*s + 1099440 = 0.\nAnswer: -509, -30, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 2*w + 1. Let r be b(1). Suppose -3*s = m + 15, -3*m + 0*s - 3*s = 15. Suppose m = 4*z + 61 - 73. Solve -z*l = -2*l + r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - 110. Let q = u + 1297\/7. What is the nearest to q in -0.1, 4, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 5*b - 9 + b)*(2 - 24 + 13 - b)*(0 + 2 + 0).\nAnswer: -12*b**2 - 106*b + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 = -y - 4, 0 = -5*y - 4*x - 42. Let q be (-3 + -6 + 4)*4\/y. Solve 17 = -5*h + q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 1. Suppose 0 = -w + t + 7, -2*w = -4*t - 25 + 7. Suppose 2*u - 4 = w*y, -2*u + 28 = y - 0*y. Is u <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/7)\/((-5)\/(5\/(-1)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180))**2*4.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792.9266 millimeters to micrometers.\nAnswer: 792926.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 56.3, -2\/3, 0.3 in increasing order.\nAnswer: -3, -2\/3, 0.3, 56.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 1 + 19. Suppose -3*y - 4*q + 0*q = -30, 0 = -5*y - j*q + 45. Solve 0*u = 3*u - 4*r + y, 0 = 5*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, 5, 3 in increasing order.\nAnswer: -13, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1282.1 and -3699?\nAnswer: 4742487.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5916 (base 12) to base 3.\nAnswer: -111122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + 1891*d**3 - 2512*d**3 - 3*d as h*d**2 + l*d**3 + t + p*d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 4, -184, -2033 in ascending order.\nAnswer: -2033, -184, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 248754076 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + h)*(-1679*h**2 + 1679*h**2 + 2 - 2*h**3).\nAnswer: -2*h**4 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-1*-2)\/sqrt(5) - -4*(sqrt(13) + -1)**2*4)*4.\nAnswer: -120*sqrt(13) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.143 - 1.943. Let l = -2.8 - m. What is the fourth biggest value in -4, l, -6, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 5:14 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372793 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/8*62 - -3. Let n = r + -3. Let l = -10 - n. Calculate the greatest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:08 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6494*i*o*p**2 + i*o + 6*i*p**3 - 4*i - 367*o + 4 wrt p?\nAnswer: 12988*i*o*p + 18*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4584170183?\nAnswer: 4584170183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 81 = -5*f, 0*b - 4*b = -4. Suppose 2*n + 4*m = 32, -56 - 8 = -4*n + 4*m. Calculate the least common multiple of n and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5086*i**3 + 9*i - 9*i + 5087*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 2\/124307?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 3 - 3 + 0 + 0 - 2*a**2 + (3*a - 5*a + 0*a)*(-5*a - a + 4*a) - 2 - a**2 + 2 + 4 + 72283*a**2 + a + 0*a - 72295*a**2.\nAnswer: -9*a**2 + a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 65*o + 2817. What are the prime factors of u(17)?\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**12*r**(-10\/19)*r*r**(-2)\/(r\/r**(-11\/5)))**19 assuming r is positive.\nAnswer: r**(786\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111100010000 - -101?\nAnswer: -101111100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11 + 2440*h**2 + 149*h - 90*h**2 + 3 wrt h?\nAnswer: 4700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 23*k**2 - 4*k. Let z(u) = 193*u**2. Calculate v(z(y)).\nAnswer: 856727*y**4 - 772*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 4*l**2 + 2. Let t be y(-4). Let c = 18 - 14. Solve -b + 2*b = 5*j + 15, t*j - c*b = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1686*i**3 - 5387*i?\nAnswer: 10116*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.37 + -0.03. Suppose -22*n + 30 = -16*n. Let z be ((-3)\/(-2))\/((-2)\/4*n). Put z, y, -0.5 in ascending order.\nAnswer: z, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 7. Let o = b - -55. What is the remainder when o is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**3\/4 + 708489*d**2\/2 - 5668131*d - 12753234 = 0.\nAnswer: -472342, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - -0.4. Let m be (2\/5)\/((-5)\/125). Let p be 1*(-2)\/m*-1. What is the closest to p in -2\/3, -1\/12, i?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 9225749773014 - 9225749773014.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -960*b**2 - 5*b**4 - 102772 - 21228 - 115*b**3 - 113600*b + 11250*b**2 = 0.\nAnswer: -62, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1752 = -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 14*v**2 - 15*v + 3. Calculate a(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + r)*(-r + 2*r - 3*r) + r - r**2 - r + 2*r**2 + 3*r**2 - 3*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26705408.\nAnswer: 2, 43, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 623 - (-25)\/(20\/(-4)). Let j(t) = -619*t - 6 + 3 + n*t. What is j(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925544261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2148?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0 - 0)*120\/(-40). Let m = -2 - k. Let y(p) = p**3 + 4*p**2 - 5*p. Give y(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 390406554 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -6*(sqrt(84) - (sqrt(84) + sqrt(84)*-3)) + 4*sqrt(84)*-1 + sqrt(84))*-4)\/(2*(sqrt(1728)*-2*-3 + sqrt(1728))).\nAnswer: 10*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - 31*q**3 - 12*q**3 + (6 - 14 + 4*q + 2*q)*(q**2 - q**2 - q**2) to the form s + z*q**3 + g*q + l*q**2 and give z.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*s + 16. Suppose -s*p = -3*p - 27. What is the remainder when 34 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 + 1954*x**2\/11 + 5848*x\/11 + 3896\/11.\nAnswer: 2*(x + 1)*(x + 2)*(x + 974)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-5) - (2 + -4). Let j be ((-3)\/8)\/(3\/2). Let s be 1*5\/((-35)\/(-2)). Which is the third smallest value? (a) j (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 16738*o + 2294871. What is s(136)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -359373949*d**2 - 472846277.\nAnswer: -718747898*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16896 and 288?\nAnswer: 50688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idj when three letters picked without replacement from {i: 2, e: 2, s: 4, j: 1, d: 7}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 28*k**2 + 21*k - 12. Let p(w) = -w**3 + 33*w**2 + 23*w - 13. Let t(g) = 6*l(g) - 5*p(g). What is t(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-3 - (-10)\/3). Let u(v) = -v**4 + 4*v**3 + v**2 + 6*v + 5. Let w(j) = j**3 + j + 1. Let p(r) = f*u(r) - 5*w(r). Factor p(g).\nAnswer: -g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-6 - (1 - 6) - -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k + k)*(3*k**2 + 1 - 1)*(0*k**2 - k**2 - k**2).\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 550259059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k = 51*k - 35. Solve 5 = -k*l + 33 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = -o, 0 = -5*j - 5*o - 29 + 9. Let u be ((-1)\/4)\/(j\/(-4)). Solve -t = u, 2*g = -0*g + 4*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 - 126*p**2 + 803*p - 42091. Give k(62).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -7*m**5\/300 - 17*m**4\/12 - 8*m**3\/5 + m**2 + 9. Suppose n(k) = 0. What is k?\nAnswer: -24, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*t - 1119, -6*l + 8*l - 5*t - 563 = 0. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -699*z - 160. List the prime factors of m(-8).\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11326 by 2.\nAnswer: 5663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/5 + 344\/(-440). What is the smallest value in -1\/3, h, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 39 - 24 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 117, 115, 113, 111, 109?\n\"Answer: -2*r + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 7:17 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/4 - 751*v**2\/2 = 0.\nAnswer: -1502, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2218362.\nAnswer: 2, 3, 331, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(252) + -2*2*sqrt(252) + sqrt(252) + sqrt(252) + sqrt(252)*1*-5 + 1 + 4))**2.\nAnswer: -9000*sqrt(7) + 227425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.41 - 0.55. Sort n, 1, 0 in ascending order.\nAnswer: n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -12*t + 749. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 7\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/84 and -31\/948?\nAnswer: 6636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*c**6 + 12*c**3 - 24536*c**2 wrt c.\nAnswer: -22200*c**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 + 2.8. Is k at most as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -5\/3*f**3 + 1\/4*f**4 + 3*f + 3\/2*f**2 + 12. Determine b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12174 = 4*m - 2*x, 3058 = 4*m - 5*x - 9125. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54798.\nAnswer: 2, 3, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*r = 5 + 10, 4*w = -2*r + 14. What is the remainder when w + 7 - 3\/1 is divided by (-2)\/2 + 2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 2. Let h be (1*3)\/(9\/a). Let n be 0\/h - (-1 + 0). Solve -u - 1 = n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -1. Suppose -8*w = -41 + 1. Which is the nearest to h? (a) 0 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*((-8)\/(-3) + -2). Let f(j) = 3*j**3 - j**2 + 2*j - 2. Let g be f(l). Let p(d) = -d**2 + 2*d. Let w(u) = 5*u**2 - 11*u. What is g*p(z) + 4*w(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22781710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 9*o + 23*o - 18*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 2:16 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/8 and ((-42)\/(-27))\/(186\/(-45)).\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41072949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 19. Let l be (-6)\/(-2) - 0\/(-3). Let i(d) = d - 18. Let o(q) = l*y(q) - 4*i(q). List the prime factors of o(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1198 + 2096 = 4*b, -2*n - 4*b + 1320 = 0. Let t = n + -282. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 20. What is the third biggest value in -9, h, 0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + -1*(sqrt(187) + (2*sqrt(187) - sqrt(187)))\/sqrt(11)))**2.\nAnswer: -144*sqrt(17) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 5*q**4 + 5 + (-q - q + 5*q)*(-q**3 + 1 - 1).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(153) - 1*sqrt(153)*-5 - sqrt(153))\/sqrt(9).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1354, 5504, 12466, 22276, 34970, 50584, 69154, 90716?\n\"Answer: 6*u**3 + 1370*u**2 - 2*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-2))\/(-1))\/(3\/(-5) + 34380\/1800)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2875*a**3 + 247240*a**2 - 5315015*a - 18490.\nAnswer: -5*(a - 43)**2*(575*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 65 = 5. What is the lowest common multiple of a and 22?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-640) - (-2)\/(-5)) + 5369\/(-5096)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 + 0)*(-z - z + z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.6 - -1.6. Let n = -11 - b. Let k = -45 - -47. What is the nearest to 2 in k, n, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = j + 5*k - 18, -2*j = 3*k - 31. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l = -135. Suppose 0 = -3*i + 3*t - l, -2*i + 5*t = i + 31. Let u = 0 - i. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppa when three letters picked without replacement from tgpbpfbtftbbafb?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.768 + 38.498. Let t = -31.9 + d. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 47 = 81. Calculate the greatest common factor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-1)\/3 + 4. Let z be 8 - i - 2*-3. Let g be 2\/z + (-273)\/15. Is -18 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.14 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 7*i**2 + 9*i + 10. Let o be k(-8). Let p(l) = 2*l**2 + 2*l - 2. Let q be p(1). Find r such that 2\/9*r**o + q - 4\/3*r = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0248306 + 96.0287306. Let y = 1.41 + 94.59. Let l = y - j. What is l rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (147\/(-28))\/(9\/(-24)). Suppose -8*a = -13*a + 455. Let m be (a\/l)\/(1\/2). Calculate the greatest common factor of 65 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1089 + 41 = 5*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -435 + 435.3. Which is the second biggest value? (a) 4 (b) 5\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*w**2 - 6*w**2 + 7*w**2 - 19*w**2 to d*w + t*w**2 + x and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31037 - 21972. Calculate the highest common factor of j and 370.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bghdy. Give prob of sequence gd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91950511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -56. Let f = -12.58 - -7.58. Let y = -0.1 + 0.2. Which is the fourth smallest value? (a) m (b) f (c) y (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -910, -603, -112, 557, 1398, 2405, 3572?\n\"Answer: -u**3 + 98*u**2 + 20*u - 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 43 - -17) + 10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.84 - -14.9. Let n = -5.16 + 5.1. Let b = r + n. Which is smaller: b or -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -3 - (-4 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8125.6761 take away 459.4?\nAnswer: 7666.2761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 32929093*d. Let p(q) = 2*q. Give z(p(y)).\nAnswer: 65858186*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14268641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 8*m + 28. Let d = -7 + 4. Let q = -1 - d. Which is the second smallest value? (a) q (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2163 (base 10) to base 13.\nAnswer: -ca5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -843 (b) -5 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 40 = 6*a. Let z = -18 + 32. What is the remainder when z is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 667\/9 - 74. Let c(a) be the third derivative of 0*a + 1\/180*a**5 + 0 + 1\/24*a**4 + a**2 + w*a**3. Let c(k) = 0. Calculate k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/12*(-32 + (-5321)\/(-170))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**8)\/d*d**0*d**(2\/15)\/d**0 assuming d is positive.\nAnswer: d**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -27, -5, -4 in increasing order.\nAnswer: -27, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 8) to base 5.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*h - 10. Suppose -16 = h*t - 44. Let n be 7\/(-1*(-1)\/5). What is the greatest common factor of n and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 - -9.7.\nAnswer: 32.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -24096?\nAnswer: -24092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 8. Let i(t) = -3*t + 9. Let r(v) = -2*d(v) - 3*i(v). Let b(p) = -p + 4. Let z(h) = 11*b(h) + 4*r(h). Let q(x) = -12*x**2. Give z(q(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 388466050 rounded to the nearest 1000000?\nAnswer: 388000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59657*j**2*z**2 + 6785*j**2*z + 2*j**2 + 82*j*z**2 wrt z?\nAnswer: 119314*j**2 + 164*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5974*w + 140*w + w**2 - w**2 + 3*w**2.\nAnswer: 3*w**2 + 6114*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 12:44 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*u**2 - 1098*u + 1 - 17*u**2 - 1711*u - 1714*u + 510*u to the form a + y*u + g*u**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10*z + 1. Let l be d(-1). Let o be -25 - l\/6*2. Round o to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*u + k + 2*k, -5*u + 25 = -2*k. Let h be (-1)\/u - 28\/(-12). Suppose 5*g + 53 = 3*t, -h*g + 5*g = 2*t - 36. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3552 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/15 + 2\/(-2). Which is the second biggest value? (a) 1 (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most -2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/572 and -47\/38584?\nAnswer: 424424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1 (c) -215 (d) 5\/4 (e) 1 (f) 0.28 (g) -2\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63507 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 31*a = 35*a - 4, 4*p + 2*a = 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17464 = -2*j + 6270. Is j a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -14 - 1\/18*d**4 - 1\/252*d**7 + 0*d**2 + 3*d + 2\/9*d**3 + 1\/36*d**6 - 1\/20*d**5. Factor m(b).\nAnswer: -b*(b - 2)**3*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:49 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65\/7 - -1871\/203. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:21 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 19563, -4 in ascending order.\nAnswer: -10, -4, 0, 19563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 - -193. Calculate the remainder when z is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2422 - 2535.9. Let v = -4760 + 4646. Let n = v - m. Put n, -3, 0.06 in ascending order.\nAnswer: -3, n, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -89. Let v be (4 + -8 + c)\/1. Solve 14*j**4 - v*j**4 + 4*j**2 + 16*j**4 = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 16. Let g = p - -10. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7497499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 6121 = 1489. Let y = w + -126. What is the remainder when y is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - c. Let r(p) = -p**3 + 10*p**2 + 9*p + 24. Let z be r(11). Calculate a(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-6) + 2\/4. Let x(d) = 3*d**2 + 4*d + 3. Let h be x(u). Let z = 50 - 38. Calculate the highest common divisor of h and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7030 = g, -116*g + 117*g + 5*w = 7054. List the prime factors of g.\nAnswer: 2, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7450)\/(-12376) - (-3)\/(-4). Let c = 15\/119 + z. Let r = -4\/13 - c. Is -0.1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4, -2\/57, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 0.6\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*c**2*w**4 - 177*c**2 - 13*c*w**2 - 46*c*w - 258423*w**5 wrt w?\nAnswer: 360*c**2*w - 15505380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/5 + 11748*p\/5 - 34503876\/5 = 0. Calculate p.\nAnswer: 5874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + ((sqrt(108) + 1)*4 + 2*sqrt(108)*6 + sqrt(108) - ((sqrt(108) - (2*sqrt(108) + sqrt(108)))*2 - sqrt(108))*1) + 4)**2.\nAnswer: 3960*sqrt(3) + 261405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = 21*r + 15, -2*r = b + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2\/(12\/9)*204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o**5\/11 - 15828*o**4\/11 + 24984*o**3 - 1141452*o**2\/11 - 540918*o\/11 = 0.\nAnswer: -3\/7, 0, 9, 1113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1121 and 21736?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 - 41 = 31*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0141716362 - 334.7.\nAnswer: -334.7141716362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 854 * -0.9.\nAnswer: -768.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -2 - -1) + -39 + 37.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let u(f) = -3277*f + 36. Let q(s) = -17866202*s + 196260. Let n(z) = -3*q(z) + 16355*u(z). Determine r(n(c)).\nAnswer: -6542*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 43, 173, 385, 685, 1079?\nAnswer: 1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = -4*a, -2*a = -j + 2*a - 14. Let p = -5 - j. Let d be 23\/(2\/22*p). What is the highest common divisor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 52 + 5*g**2 + 5*g - 5*g. Suppose 117 = -35*a - 134 + 6. Is y(a) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 2*g + 2. Let c(q) = 3*q**2 + 694*q + 6. Determine -c(w) + 2*x(w).\nAnswer: -w**2 - 690*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(570) + sqrt(570)*-1)\/sqrt(10))\/(sqrt(12)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/8535552 and 91\/1066944?\nAnswer: 8535552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64014876*v - 64014876*v - 32*v**3.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8411 + 8423. What is the smallest common multiple of 1302 and w?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) 52 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/13 + 208036*r**3\/13 - 7283642*r**2\/13 + 7075604*r\/13 = 0. What is r?\nAnswer: -104053, 0, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4380 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 8:35 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 15*l - 42. Determine c(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 7*r**2 - r + 12. Give d(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuv when three letters picked without replacement from nunvvvvnvnnvnvunnvv?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(5\/(-6))*48\/(-9). Calculate the greatest common divisor of p and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24\/535 + -2622\/15515. Let j = 10117\/3770 - n. Calculate the common denominator of j and -1\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 + -0.8. Let j = t - 2. Let g = 0.17 + 2.83. What is the closest to j in -2\/9, -1, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (sqrt(1216) + sqrt(1216) + 0 + 4 + sqrt(1216) - (-4 + (sqrt(1216) + 1)**2)) + -4 + (-2*sqrt(1216)*-1)**2.\nAnswer: 8*sqrt(19) + 3656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(-2))\/((-3)\/(-4284)) + 3. Does 3 divide 1\/2 + q\/(-74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4262473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -2, -4, -2\/3, 1 in decreasing order.\nAnswer: 1, -1\/3, -2\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.28 + 0.2. Let y = k - -0.0799967. Round y to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1151527.8429 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 196496351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 + -17. Suppose -6*l + h = -585. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2 - 3 - -18) + -188 + 179?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/7 - 122*j\/7 - 124\/7 = 0.\nAnswer: -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173267*s**5 + 2*s**4 + 928569*s**2?\nAnswer: -10396020*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 9)*(-92 + 8 + 29)*(7*y**2 - 2*y**2 - 6 + 7).\nAnswer: -2750*y**2 - 550","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 378 - -68. What are the prime factors of j?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmwm when four letters picked without replacement from {y: 1, v: 2, b: 2, m: 4, w: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -40, -4, -6 in decreasing order.\nAnswer: 4, 3, -4, -6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1662769 and 1662771 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {z: 1, v: 3, f: 3, e: 1, b: 1, l: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(1\/3). Suppose -134*f + 71*f = -72*f. Solve 2*c - c - x = f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4930.1609 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -2, -4, -1, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 1900*o - 33939. Calculate x(18).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -2\/15 (b) 1\/22 (c) -1\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/66 and -7\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(5) + 1)*-5 - 1*(sqrt(605) + 5)**2)*5.\nAnswer: -3250 - 650*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x - 20666 - 652. What are the prime factors of x?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*o + 39*o - 90. Let z = 68 + o. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + 1)*3*-1.\nAnswer: -3*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1773, -3509, -5267, -7095, -9041?\nAnswer: -11153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 26. Let f(v) = -5*v**3 + v. Let t be f(-1). Is t\/(-6)*(r - 1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*z**3 - 1\/7 - 1\/7*z + 1\/7*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 11:47 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (4\/(-1) + 2). Let n(l) = l**3 - 33*l**2 + 18*l - 23. Let j be n(32). Let d = -475 - j. Sort -3, -2, a, d in increasing order.\nAnswer: d, -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 7. Let w(g) be the first derivative of -g**7\/840 - g**6\/60 - g**5\/24 - g**4\/8 + 10*g**3\/3 - 6. Let k(h) be the third derivative of w(h). Give k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w**(1\/3)*w)\/(w**6*w*w*w**(-1)*w) assuming w is positive.\nAnswer: w**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130201 - 201302103?\nAnswer: -201111302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -38.14 (b) -6 (c) -0.1 (d) 0.8 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173, -92, -1, -23, 3, -6 in increasing order.\nAnswer: -92, -23, -6, -1, 3, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*w - 573*w + 112 + 46 + 693*w - 21.\nAnswer: -189*w + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 14*m**2 + 10*m - 20. Is n(-13) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 232\/(-29)*6\/(-16). Let w(a) = -a**3 + a**2 + 10*a - 9. Let c be w(r). Sort -4, 5, c.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9249141 divided by 280277.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1305397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -10*b**3 + 6*b**2 + 14*b - 8. Let n(w) = -22*w**3 + 13*w**2 + 29*w - 17. What is 6*n(y) - 13*q(y)?\nAnswer: -2*y**3 - 8*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - f - 2. Let l be p(3). Let x = 6 - l. Let m(s) = s**3 + s. Calculate the remainder when m(x) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -651546*x. Let h(l) = -4*l + 84. What is k(h(m))?\nAnswer: 2606184*m - 54729864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -823*u**2 + 335551 - 335551 in the form l*u**2 + w*u + r and give l.\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + b - 8*b)*(-3 - 3 + 4 + (2 - 5 + 1)*(3 - 2 + 0))*(3 - 1 - 3).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 + 4262. Suppose -l = -60*x + 53*x. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 minutes before 7:56 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/32*9218 - 3\/24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3216 and 19\/1072?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -23*y + 9. What is x(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10746\/511 + -1556\/73. Let s = -23\/156 + 3\/13. What is the biggest value in -13, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r + 8 = 0. Let v = 8965\/2 + -43373\/10. Let i = v - 6464\/45. Is r not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) - (sqrt(250) + -5*1*sqrt(250)))*4)\/((sqrt(90)\/sqrt(2)*-5)\/(-1*sqrt(1296))).\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 5*b - 1278. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*g + 4, 2*g = -2*m - g + 14. Suppose 36 = -10*h + m*h. Let b(f) = f**3 + 6*f**2 - 4*f - 3. Is 4 a factor of b(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 382 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-9)\/(-6))\/(3\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18.9 (b) 2 (c) 17887\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139 - -132. Let o(c) = 3*c**2 - c - 3*c + c - 7*c. List the prime factors of o(p).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -860, -1733, -2622, -3533, -4472, -5445, -6458, -7517?\nAnswer: -8628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2082 + 402 = -12*k. Is -207 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3094268*l + 567 = 3094247*l for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -15. Calculate the lowest common multiple of h and (-1)\/(-3 + 53\/18*1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 783 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -312, -5, -15, 1\/4 in decreasing order.\nAnswer: 1\/4, -3, -5, -15, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83234*k + 10 = 83239*k + 3*g, 3*k = 10*g + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 91.91+-0.1\nAnswer: 91.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1026 + 0.0974. What is the nearest to -1 in -3.1, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000628177 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 103994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -241*z + 2*z**2 - 270*z + 507*z - 3*z**2. Let w(d) = 3*d. Let s(h) = -2*h. Let u(q) = -7*s(q) - 5*w(q). Give u(i(r)).\nAnswer: r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f. Let h(d) be the third derivative of 1\/60*d**5 + 0*d + 0*d**4 + 9*d**2 + 0 + 0*d**3. Determine h(r(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + 0.09. Suppose 2 - 6 = q. What is the closest to 1 in 1, o, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*d**3 - 77*d**3 - 72*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17149 + -15941. What is the remainder when g is divided by 236?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63290.95 micrometers to nanometers.\nAnswer: 63290950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 661 = -30*h + 691. Which is greater: h or -3\/418?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71431*0.562.\nAnswer: -40144.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 195, 322, 323, 126, -341, -1150?\n\"Answer: -12*h**3 + 9*h**2 + 184*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 0.1, 2\/5 in descending order.\nAnswer: 12, 2, 2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfgcb. Give prob of sequence jb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(18)*2*5)**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from ccllhpphp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (3 + -3) - -3. Let a = 1 + -1. Let d be 0 + -2 + 4 - a. Solve f + g = d*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175 + 360 - 3*b**3 + 7*b - 162 + 3*b**4 + b**2 + 0*b to j*b**2 + c + s*b**3 + g*b + q*b**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.004 - 0.004. Let m = z - 27. What is the third smallest value in 0.3, m, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 1, u: 1, n: 1, b: 1}. What is prob of sequence nuyf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92929\/18414 - 1\/837. What is the common denominator of -43\/16 and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 + 222*g + 436 = 0. Calculate g.\nAnswer: -109, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1049\/10 - 105. What is the common denominator of n and -79\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let t = -0.3 - -0.2. Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*5 + sqrt(171) - sqrt(171))\/sqrt(9).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*c = -90, -2*c - 13 = -3. What is the remainder when 24 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7550b (base 15) to base 16\nAnswer: 5aea2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2. Let p(j) = -10 + 21*j - 11 + 21. Determine o(p(q)).\nAnswer: 882*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 - 8*b**2 - 29*b + 230. Let u be c(5). Calculate the highest common factor of u and 430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -192.\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 216?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 55*z**2 - 56*z**2 + 184067*z - 184067*z.\nAnswer: -111*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-35)\/(-10)))\/(2\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-32))\/(18\/(-24)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - t**2 - 3 - 1 + t + 0*t. Let f be k(3). Let b = -3 + -1. Is f != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1506*k**6 - 5*k - 263*k**5 - 2013 + 520*k**5 + 3*k - 255*k**5 + 2*k**2 wrt k.\nAnswer: -180720*k**3 + 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1640 and -285593.8?\nAnswer: 287233.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 6*b**2 + 3*b - 13. Let q be i(-3). What is the smallest value in 1, 2\/57, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/7485 + 695953\/284430. What is the common denominator of 99\/16 and u?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -489, -678?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + -2*sqrt(200))*-2 - (sqrt(200)*1 + -5 - (4 + 1*sqrt(200)))) + 4)**2.\nAnswer: 1840*sqrt(2) + 3729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 + 158*w + 157. Calculate h(39).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 - -0.16. Which is the biggest value? (a) r (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4086 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**2\/4 - 783*l\/2 + 22815\/4 = 0?\nAnswer: 15, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 68 in descending order.\nAnswer: 68, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45862*y**2 + 8399*y**2 + 7109*y**2.\nAnswer: 61370*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -33412*u + 33413*u - 6*u**2 - 28*u**3 + 1 - 7. Let k(x) = 29*x**3 + 5*x**2 - x + 5. Calculate -5*g(m) - 6*k(m).\nAnswer: -34*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from pppppzzzzzzzzzzzzz.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-46)\/4)\/((-3)\/6). Suppose 0 = -4*v - 5*t + 191, a = -4*v + 5*t + 264. Suppose 4*o - 22 - v = 0. Solve 6 = -2*y - 4, c + o = -4*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001100 - -1?\nAnswer: -101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 + 239*q**2 + 78*q + 173. Let m be v(80). Sort -17, m, 3.\nAnswer: -17, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*y = -198*y - 2*g + 86, 25*y = 4*g - 312 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02097 - 3.02097. What is the closest to 0.1 in -3\/5, -0.1, -0.4, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5124 and 24400?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Let n be (2 - 2) + (-44)\/(-77)*7. Suppose -5*j = n*a - 229, g*a + 0*a - 2*j = 166. What is the greatest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + -1 + -3 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.334888 to three decimal places.\nAnswer: -41.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmlolomoomloml. Give prob of picking 3 m and 1 o.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.506451ml to litres.\nAnswer: 0.003506451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 85*p**2 + 63. Calculate the remainder when 549 is divided by a(85).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -578, -2307, -5198, -9257, -14490, -20903?\nAnswer: -28502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -10.4. Put 5, u, 0.1, 0.71 in ascending order.\nAnswer: 0.1, u, 0.71, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.3, -10, 4, -0.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*f**2*o**4*r + 2*f**2*o + 47*f**2*r - 2*o**4 - o**2 + o*r wrt o.\nAnswer: 600*f**2*o*r - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 4825*c**2\/4 - 1453228*c + 4370547.\nAnswer: -(c - 3)*(c + 2414)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -895, -1358, -1837, -2338, -2867, -3430, -4033?\nAnswer: -4682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9)*m**4)\/(m**3\/(m\/(m\/(m*m**(-4\/3))))))\/((m*m**(1\/2)*m*m)**(-44)\/(m**(-2)\/(m\/(m*m**(-3))))) assuming m is positive.\nAnswer: m**(1345\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + x = 8, 6*p - 5*p - 18 = -3*x. What is the greatest common divisor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*d = -24, -l = -85*d + 81*d + 12 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-3)\/78) + -1. Let u be 21\/y + 2\/(-9). Let i(a) = -1. Let s(q) = -6*q**3 + q**2 + 1. Let g(b) = -i(b) - s(b). Give g(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1662 - 81?\nAnswer: -16e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/15 + 3*a**2 + 55*a. Let g(s) = -1229*s. Calculate p(g(c)).\nAnswer: -6041764*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 203098?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjjffffjffj. Give prob of sequence xjj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 903*w**3 + 3*w**2 - 3*w + 1. List the prime factors of h(1).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 11*n - 3. Give j(9).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03799 - 0.03809161. Round t to six dps.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/7*4844\/1038?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 16005*m - 33134478.\nAnswer: 3*(m - 6929)*(m + 1594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, 0, 79, 202, 375, 604?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -80. Let i = a - 14. Suppose 0 = -4*v + i + 49. What is the lowest common multiple of v and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, 4\/277, 1738?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -226 - -100. Let y = v - -144. What is the greatest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -2*t + 6*t + 2*i, -4*i - 242 = 5*t. Let g be t\/(-3 + 1132554\/377520). Round g to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48.07 - 48. What is the closest to d in -3, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -55. What is the remainder when b is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31918 + 31936. Calculate the lowest common multiple of w and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77721 is divided by 204?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34939.\nAnswer: 34939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 819 = 429. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 22*c**2 - 2*c + 13. Calculate the remainder when l(-22) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apnel. Give prob of sequence pa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -q + 2*t, -22 - 8 = -4*q + 5*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-28)*7 - (-3 - -8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4 and -107\/370?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275 + 6*r**3 - 4*r**3 + 274.\nAnswer: 2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**2 - 5*a - 7. Give k(-5).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 119497 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(0 + 0 - 1)*(4*y + 17*y - 11*y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 465867.2\nAnswer: -46586.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by 1.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 794647 divided by -3.\nAnswer: -794647\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 5\/8*c**4 - 1\/10*c**5 + 0*c**3 + 0 + 0*c + 8*c**2. Find the second derivative of y(h) wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-35)\/(-595))\/(2\/(-6)). Let j = -25\/51 + i. Which is the second smallest value? (a) j (b) 1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 14*d**2 - 738*d - 10793. Determine f(65).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:56 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.6 and -325.983.\nAnswer: -6715.2498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -240219570 rounded to the nearest ten thousand?\nAnswer: -240220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15007018 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18305 divided by 3661?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t, 5*k + 6*t - 3*t - 2 = 0. List the prime factors of k\/((-4)\/2)*-38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -263321265 - -263348485.59308. Let f = -27219 + p. Let y = f - 1.59. What is y rounded to four decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/6, 4, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15330, 15332, 15334, 15336, 15338, 15340?\n\"Answer: 2*o + 15328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 511 and 985865.\nAnswer: 6901055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/13 and 89\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110344, -110189, -110034?\nAnswer: -109879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 + x - 1. Let j = -517 + 515. Let u(h) = -19*h**2 - 4*h + 3. Determine j*u(d) - 7*w(d).\nAnswer: -4*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007944403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {d: 2, b: 8, f: 3, s: 3}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -343, -1092, -2395, -4258, -6687, -9688?\n\"Answer: -n**3 - 271*n**2 + 71*n - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + 0.25. Suppose -k - 3*t = 0, 10*k - 15*k = -t. Is w bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -192*f**2 - 47187*f + 77329721 wrt f?\nAnswer: -384*f - 47187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -66. What is the smallest common multiple of p and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u - 27. Let o be n(-31). Let j = -91 + o. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380897 = -4*s - 63613. Suppose 252321 = c + s. Round c to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 4*v + 1. Determine c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c**3 + c**2 + 2*c + 1. Calculate h(2).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 31. Let p = 13 + g. Let m = 0.03 - -2.97. What is the second biggest value in 0.4, p, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 76*k**2 - 528*k + 11. What is the hundreds digit of o(-82)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m**3 - 2*m**2 - m. Determine r(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 35494, 70986, 106478?\n\"Answer: 35492*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1678 + -1678. Let 0*p + 0*p**3 + v - 1\/7*p**2 + 1\/7*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1166 + 1166.08. Which is the third biggest value? (a) t (b) -5 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24a (base 14) to base 2.\nAnswer: -111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 9:54 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 21*t**2 + 37*t + 5. Let s(w) = w - 1. Let x(i) = -r(i) - 2*s(i). Let f be x(-19). Calculate the greatest common factor of f and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by 314.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6557 is divided by 406.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 + 8.17. Let p = -12 + h. Which is the second biggest value? (a) p (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**3\/3 - 4*t**2 + 9*t + 10. Let a be r(7). Suppose -4*k = 4*z - 204, 0 = z + 1 - a. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222967132 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(135)\/sqrt(3).\nAnswer: 4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 11. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10530 = 10*c + 3*c. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 36*r**3 + 2*r**2 - r. Let q be d(1). Let n = q - 32. Is n - 0 - 0 - -2090 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 25 - 21 = -2*g, -5*g + 4*s - 19 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/5)*n*n**(-7))**(-36))**(-25) assuming n is positive.\nAnswer: n**(-4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -79*j - 3. What are the prime factors of b(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3784*c + 3779. Give l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + z = -12, 2*z = 2*f - 9 - 5. What is the units digit of (0 + -1)\/(f\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*p - 1752 = -152 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a (base 15) to base 13.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*l - 8*b + 4*b, 0 = l + 5*b - 28. Suppose -3*i + 658 = -u, -3*u + l*u = -i + 214. Calculate the remainder when i is divided by 46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -183*f**2. Let u(i) be the third derivative of -i**5\/20 + 417*i**2. Determine c(u(j)).\nAnswer: -1647*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**4\/4 + 207*v**3\/2 - 312*v**2 + v - 253. Find y, given that f(y) = 0.\nAnswer: -208, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46109 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -79, -163, -239, -307, -367?\n\"Answer: 4*q**2 - 96*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*p + 24643 - 24643.\nAnswer: 46*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1521*b - 31606. Determine k(-21).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12807 - 9079. Suppose f + v = 1246, -w = -3*f - 5*v + 4. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -79. Let l = 24.99999968 + w. What is l rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -11. What is the common denominator of 30\/(-60) - 47\/(-4) and 178\/36*3 + d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506086 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 123, 0.1, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24498*x**2 - x + 7164 wrt x.\nAnswer: 48996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.027+299.4305577\nAnswer: 299.4575577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00524 to 4 decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 7*v**6\/30 + v**5\/30 + 5*v**4\/24 + 115*v**3\/6 - 1121*v**2. Find the second derivative of m(f) wrt f.\nAnswer: 168*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 173, 269, 371, 479, 593, 713?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:58 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.47589 years?\nAnswer: 0.00647589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + -1 + sqrt(684) + 0.\nAnswer: 4 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 156*v. Let k(z) = z. Give k(j(i)).\nAnswer: 156*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 29 = -13. Suppose 4*m - 104 + b = 0. What is the highest common factor of 125 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459332 is divided by 459300?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2624*g - 12. Let l be d(-12). Let u be ((-4800)\/9)\/(2\/l). Round u to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1)\/(0 + 2). Let v = 1 - -1. Let c = 0.05 + -0.45. Put c, v, r in decreasing order.\nAnswer: v, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-313)\/(-14)*178 + (-100)\/175 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(8\/5)\/b**(-11)*(b\/(b\/(b\/b**(-2\/17))))**(-38) assuming b is positive.\nAnswer: b**(-2539\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 32*a**2 + 31*a + 4. What is z(31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -49.9326822?\nAnswer: -49.5326822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v = 0. Suppose -3*p + 7*p = v. Let m = -2\/17 - 9\/68. What is the closest to m in -1\/10, p, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**3*p**3 - 160*g**3*p + 8065*g**2 + 533*g*p**3 + 1040*p**3 - 2*p wrt p.\nAnswer: 24*g**3*p + 3198*g*p + 6240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*k + 42. What is the remainder when 157 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-2 + (-3020)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4306, 311 in increasing order.\nAnswer: -3, 311, 4306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8368 by -4.\nAnswer: 2092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4152262 (base 9) in base 14?\nAnswer: -41aad0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 2*y**2 + 2 + 11. Let c be l(0). Suppose 8*b = c*b - 280. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let y be k(-17). Let d(x) = -x**2 + 14*x + 60. Let c be d(y). Solve 0 = m - 5*z - 29, 2*m + 2*m = -5*z - c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + w - 4*w = -20, -4*w - 8 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(110)*1 + sqrt(110))\/((sqrt(240)\/sqrt(4))\/sqrt(6)) - (sqrt(44)*1 - (sqrt(11) - (sqrt(132)*4 - sqrt(132))\/sqrt(12))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, 3, -1.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1000)\/(-100)*(-10)\/(25\/5)*12\/312.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 112*w + 5976. Let h be v(-53). Let 36*m + 48\/5*m**2 + h + 4\/5*m**3 = 0. Calculate m.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 2*w. Let i = w - 3. Solve 0 = g - i, -v = -3*v + 4*g - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0*m - 5 - 7*m)*(8 - 13 - 13)*(-6 - 9 + 64 + 14) in the form u*m + c and give c.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express 84110*q - 3*q**2 - 4 - 9*q**3 - 2*q**2 - 84113*q as x*q + c + i*q**2 + b*q**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -8 - (58 - 68)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 542212751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 98\/105)\/((-2)\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 9*u**2 + 3*u + 12. Let a be r(9). Let m = a + -39. Suppose -81 = -3*s + 3*z, 2*s + 2*z + 23 - 93 = m. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 184865262026 and -0.934.\nAnswer: 184865262025.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8996299, 17992601, 26988903?\nAnswer: 35985205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1041*y - 11875 - 15191 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*v - 29 = 0, 1 - 6 = -v. Suppose 5*h = -c + 35 + z, 2*c - 8 = -h. Solve 6 - 21*w**2 + h + 17*w**2 = 0 for w.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-2.6\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3 + 7395*r**2 - 3938781*r - 786487779 = 0?\nAnswer: -153, 1309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96135\/2 + 49065. Let c = -997 + z. Solve 0 + c*p**2 + 1\/8*p**3 + 0*p = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20010020112 + 21021?\nAnswer: -20002222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286 and 9.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5\/2, 0.01, 1, 0.1, 2\/29.\nAnswer: -7, 0.01, 2\/29, 0.1, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y + 1. Let m(k) = k**3 - 3*k**2 - k + 2. What is 2*b(t) - m(t)?\nAnswer: t**3 + 3*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -265\/16 + 1959\/112. Let s(f) be the second derivative of 1\/4*f**4 + 3\/140*f**5 - j*f**3 - 1\/70*f**6 + 13*f + 9\/7*f**2 + 0. Determine h so that s(h) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244731615.5 rounded to the nearest one hundred thousand?\nAnswer: -244700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 156760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c - d = -23, 3*d + 3 = 2*c. Let l = c - 8. Is 1 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*8)\/((-6)\/45*3). Let x be (-20)\/a*1*6. Factor 0 - 4\/3*l - 5\/3*l**3 + 8\/3*l**x + 1\/3*l**4.\nAnswer: l*(l - 2)**2*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1100 = 4*u, -5*k + 2*k + 831 = 3*u. Let i = -270 + u. Suppose -l + 6*l = 95. Solve i*r - 4*r - 5*y - l = 0, 0 = -4*r - 3*y - 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1182 and 95\/41398.\nAnswer: 24466218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.63 - -12.53. Which is the third biggest value? (a) v (b) 5 (c) -11\/2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ththkhhhkhkhhhhk. What is prob of sequence hhk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3421, -2107, 83, 3149, 7091?\nAnswer: 11909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 127 - 115. Suppose 0 = c*s - 57947 - 30673. Round s to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from wfwfqqqqq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(1\/(2\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + 3023829?\nAnswer: 3023846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*r - 27 = 0. Let a = -491\/30 - -358\/15. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 21*l**2 - 113*l + 1425. What is h(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 - 9*d. Let i(q) = -2*q**2 - 4*q. Let h be (-16)\/(-3) + (-1)\/3. Suppose 0*c + c = -h. Determine c*i(x) + 2*k(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -699*c - 4113. Let z be r(-6). Solve z*v - 105 = 66*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 5*a**3\/3 - 39*a**2\/2 + 30*a. Let w be l(4). Suppose 0 = -7*t + w + 223. Calculate the lowest common multiple of t and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12391.\nAnswer: 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**6\/360 + g**5\/24 - g**3\/3 + 5*g**2. Let n(o) be the first derivative of m(o). List the prime factors of n(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/4 - (-10)\/8. Factor 0 - 4\/11*f + 18\/11*f**t - 8\/11*f**3.\nAnswer: -2*f*(f - 2)*(4*f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgbgb. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.5 (c) -0.4 (d) -2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - l - 35. Suppose -5*v + 158 = -17. What is the greatest common divisor of l and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 5*q**2 - 4*q + 4. Let c be d(-4). Let x be 7\/(-4) - -1 - (-885)\/12. Let w(j) = 0 - 5*j - 1 + 75*j**2 - x*j**2. Determine w(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (-2 + 3)) + -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-100)\/(-40)*1\/5. Which is the fourth biggest value? (a) 5 (b) -31.8 (c) -2\/7 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0*l**3 + 3\/2*l**2 + 1\/12*l**4 - 3*l + 0. Let k(f) be the first derivative of b(f). Determine k(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 h, and 2 x when four letters picked without replacement from {h: 1, x: 2, t: 1, i: 1, d: 1, p: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times 3.28?\nAnswer: 111.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 l when three letters picked without replacement from ttstuiwlswwutttuws?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17322731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*r + 8960 - 2268 = 0 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/((-2)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/73, -10, -11\/3, -2 in ascending order.\nAnswer: -10, -11\/3, -2, 2\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 2*x**2 + x - 11. Let n be 1*((-3 - 0) + 3). Let p be u(n). Let i(o) = -o**2 - 10*o + 11. Let h be i(p). Do 1\/21 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*x**4 - x**4 - 20 - 3*x**4 + x**4 with respect to x.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 2. Determine p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -71, 2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3947 - 2871. What is the greatest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -18. Let u be (x*3)\/((-42)\/4144). What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 31*x - 5015 = 0. Calculate the common denominator of -2*x\/60 + 5 and 41\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w. Let l(q) = -3*q + q**2 - 2*q - 4 - 2*q + 3*q. Let i(t) = -3*t - 3. Let d(y) = -4*i(y) + 3*l(y). Give d(f(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58823 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b + 13 = -94 - 25 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*u + 7*v, 17*u - 13*u - v + 22 = 0. Let n(s) = -2*s**3 - 10*s**2 + 18*s + 6. What is n(u)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/135*-6)\/(244\/1830)*-1\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*o**3 + 38*o**3 + 48*o**3 + 2*o**2 - 2*o**2 - 5*o**2.\nAnswer: -98*o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 576\/21 + (-24)\/(-42). Suppose -2*a + 3*o + d = 5*o, -a - 2*o = -16. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1444810.3 to the nearest one thousand.\nAnswer: 1445000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46221*c - 23124*c + 5 - 23139*c to x*c + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and -41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16206549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295 and 388869?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4797 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: Simplify (-1*sqrt(28))**2*-2.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3222093267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -17. Suppose -3*w + z*w - 17 = 3*l, 2*l - w = -13. Let g = -7 - l. Which is the biggest value? (a) 1 (b) 1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.637759 millennia in years?\nAnswer: 6637.759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 4*d, -q + 14*d - 22*d + 100 = -q + q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 31 = 4*c, -3*c = 2*m - 7*m + 71. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.3 (c) 2\/5 (d) 1\/10 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-20))\/a*a*a)\/(a**(-21)*a)*(a*a**(7\/2)*a)\/a**(-1\/19) assuming a is positive.\nAnswer: a**(287\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405194713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5. Let z(s) = -s + 1. Let g(y) = t(y) + 5*z(y). Let r(j) = -12*j. Give g(r(o)).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -1532195070.07318?\nAnswer: 1532195070.57318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 117 (base 11) to base 9\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*m**2 - 43765080*c**2*m**3 - 1448788*m**3 + 3*m**2 with respect to c.\nAnswer: 3*c**2*m**2 - 87530160*c*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**4\/12 + a**3\/2 + a**2 - 4*a + 6. Give m(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2 (c) 27\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/36320 and 5\/96.\nAnswer: 108960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21005 + 40575. List the prime factors of i.\nAnswer: 2, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*m + 33*m + 20*m - 300. What is the remainder when 1949 is divided by m?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + -1*(sqrt(833) + 0 + sqrt(833) + 3)**2 + 4.\nAnswer: -3340 - 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/14)\/(3\/42). What is the greatest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99834827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from rqmmqqqmqqqrmmmqqqq.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/12)\/((2 + 0)\/4). Which is the third smallest value? (a) -0.5 (b) r (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/87, 0.13, -0.3, 23?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8911*s - 24015*s**3 + 17824*s - 8913*s.\nAnswer: -24015*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1558 and 2.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33024 + -21053. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(2\/24*4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 18 = 8*u, -4*u = -y - 223956 + 223954 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/12)\/((-5)\/2). Which is the fourth biggest value? (a) -2\/19 (b) 5\/6 (c) -1 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19567 + 19759 = 48*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7541?\nAnswer: 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 - 21 - 26)*(-2*r**2 + 0*r**2 + 24*r - 35*r) to the form c*r + m*r**2 + z and give c.\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1705, 3439, 5171, 6901?\n\"Answer: -o**2 + 1737*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o = 21*o + 4, -y + 17 = 8*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*p + 26 - 13, -4*g - 16 = -4*p. Let m(s) = 56*s + 1. Give m(g).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8*s**2 - 8*s + 3. Give a(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1878 by -1.\nAnswer: -1878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 x, and 1 o when four letters picked without replacement from rororxxooroxrrrr?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afc when three letters picked without replacement from ezeafazzcaafefacaaf.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 189*j**2 + 1 + 1.\nAnswer: -189*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5482570765567 + 0.04?\nAnswer: 5482570765567.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.05, -98 in ascending order.\nAnswer: -98, -0.4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 1 (c) -7 (d) 1\/6 (e) 3\/8 (f) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + q. Let h(y) = -3*y**2 + 6*y + 1. Give -h(n) - 2*j(n).\nAnswer: 5*n**2 - 8*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36017575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8280 divide 87763305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/(-28) - (-25)\/4 - 4. What is the smallest common multiple of 162 and n*((-2)\/1 - -1*6)?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) - ((sqrt(153) - -1*sqrt(153))**2 + -5).\nAnswer: -607 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - 8.4. Let c = -9.0223 - r. Round c to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(-1) + 13 + (-2250)\/175\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/540 and 86\/225.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -34, -110, -268, -538, -950?\n\"Answer: -5*g**3 + 4*g**2 - g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674886, 1349771, 2024656, 2699541?\nAnswer: 3374426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 68. Let n(m) = -m + 10. Determine n(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.8681 and -1.24.\nAnswer: 27.116444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 26 = 2*g - 4*r, -4*g = -3*r - 169. Suppose -3*x - g - 20 = 0. Let q = x - -39. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 7*y**2 - 4*y + 1. Let q(u) = 7*u**2 + 4*u. What is the remainder when q(-3) is divided by f(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7432*h**3*w**2 - 5*h**3 - h**2*w + 30*h*w**2 - 2*h*w + 24*w wrt h.\nAnswer: 44592*w**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 232076 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in -3\/2, 1, 3.181, 1\/16, -2\/13?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26078, 25716, 25354, 24992, 24630?\nAnswer: 24268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/225 and 49\/150?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84688226 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -234 + 48. Let v = l - -197. Solve -6*x - 17 = -5*g - 3*x, 0 = -2*g - 3*x + v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11918, -12, 0.01 in ascending order.\nAnswer: -12, -0.11918, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uimiuyiuim. What is prob of sequence ii?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (1 + 3 - 7). Let y(r) = -r**3 + 1. Let o(g) be the second derivative of g**5\/4 + g**4\/6 + 20*g + 2. Let a(x) = m*o(x) - 4*y(x). Calculate a(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2. Let g be 7257\/164*((-1)\/6)\/(-1) + -6. Let i(y) be the third derivative of -g*y**4 - 26*y**2 + 0*y + 0 + 0*y**3. Determine r(i(v)).\nAnswer: 2178*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -46845*-1.8\nAnswer: 84321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(175)*-5 - sqrt(7))**2.\nAnswer: 4736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a factor of 404410662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5 + -1*sqrt(171) - (sqrt(171) + sqrt(171)*-1 + sqrt(171))*-6)**2 + 5*(sqrt(1539) + (2 + sqrt(1539) - sqrt(1539)))*-5).\nAnswer: -12750 + 225*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -105*p**2 - 2*p. Let j(z) = z**2. Give n(j(h)).\nAnswer: -105*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/39? (a) -0.5 (b) -1 (c) 8 (d) -0.1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 29*v - 26*v - 21, -v = -4*l - 7. Let s be ((-3)\/6)\/((-1)\/(-150)). What is the nearest to s in l, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*h = 148*h + 1. Let z = 0.1244 + 8.9656. Let k = 0.09 - z. Which is the third smallest value? (a) k (b) -0.2 (c) h (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) 3 (b) -5 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 17 = 22. Solve w - 28 = -3*w - 4*o, 0 = -i*o + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633083 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1217899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9 and -77710.\nAnswer: -77701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*o**2 - 2330695*o - 37775940.\nAnswer: 20*o - 2330695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -566 + 565.9943163. What is k rounded to five decimal places?\nAnswer: -0.00568","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.09 or -1310\/9?\nAnswer: -1310\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/213 in 86, -3, 19, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -3247338?\nAnswer: 3247337.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s - 12. Let u(b) = b - 2. Let h(c) = k(c) - 4*u(c). Give h(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 8*a**2 + 2*a - 9. Let t be j(8). Let l = t - 5. Suppose -8\/13*v**l - 2\/13*v**5 + 0 + 0*v + 6\/13*v**4 + 0*v**3 = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38325 is divided by 616?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/16)\/1 + (-62519997)\/(-4). Round t to the nearest one hundred thousand.\nAnswer: 15600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 810 and 2811240?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2936.572714 + -662\nAnswer: 2274.572714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10000102210?\nAnswer: -10000102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - m + 76 + 66 = 0, -2*m = 4*k - 140. Let r = 1 + 5. Suppose -3*p - 48 = -w, p = 4*w + r*p - 226. What is the greatest common divisor of k and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 437*j + 2992. Calculate v(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 9*u + 2. Let t be y(10). Suppose -f - 5*j = 4, -4*f - 4 + t = -4*j. Let d = -3 + 2. What is the nearest to d in 3\/7, f, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 139958252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - sqrt(4))*-4)\/(sqrt(2) + sqrt(2) + (sqrt(288)*1 - sqrt(2))) - ((sqrt(72)*-3 + sqrt(72))*-6*4)**2.\nAnswer: -165888 - 4*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asn when three letters picked without replacement from {u: 1, n: 5, z: 1, s: 3, a: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 2*k**2 - 3*k + 4. Let t be d(-3). Suppose 4*j - z = -3*z + 38, 4*j = 4*z + 44. Let o = j + t. What is the remainder when 62 is divided by o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 4*m. Let w be z(2). Suppose w*v - 5*x - 2 = 4, 0 = 3*v + 5*x - 22. Let o(u) = -u + 1. Calculate o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 70.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22013880767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/1484 - -74167\/16324. Which is the nearest to -2? (a) 4 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 160277.211 to the nearest one thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, s: 2, d: 1, k: 1, f: 1, c: 1}. What is prob of picking 2 s, 1 j, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-19218)\/(-27) + 3 - 36\/(-162)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**2\/2 - c + 3. Let m(g) = -3. Let w = -49019 - -49020. Determine w*m(l) + 2*s(l).\nAnswer: 2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**2 + t + 1\/6*t**3 + 0 - 1\/12*t**4. Let b(n) = -n**2 + 2. Determine 3*b(m) - 2*k(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m**4 + 9426*m**3 - 652978*m**2 + 11633910*m + 4758644 = 0. What is m?\nAnswer: -2\/5, 37, 869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 870.1 - 819. Let u = -64.89 - 0.11. Let b = h + u. Round b to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + -81. Let r be b\/(-20) - -3*(-4)\/(-20). Solve 2*l + w - 2 = 5*w, -5*l + 5*w + r = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 9*t - 26 - 0, 5*t - 9 - 1 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 12) in base 16?\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/(w*w**(-3)*w)*w\/w**(-1)*w**(-2\/5) assuming w is positive.\nAnswer: w**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31b97 - 9?\nAnswer: 31b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10130\/3 - -384805\/114. What is the common denominator of 16\/7 and g?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120725 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -15563?\nAnswer: 15606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010122742 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96469.\nAnswer: 96469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21231321311 (base 4) to base 9\nAnswer: 4712232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 20*p - 36. Let f(r) = -10*r + 18. Let x(g) = 5*f(g) + 2*j(g). Let k be x(2). Do 14 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 3 - (-78 + -19 + 15 + 13)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 4*m - 1. Let t be d(-3). Suppose -2*n + 54 = 2*l, 0*n + 5*n - 138 = -t*l. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l + 8*l - 13*l - 4. Let r be u(5). Solve 3*f - 2*f + 5 = 4*q, f = -r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**4 + 3*g**4 - g**4 + (-3*g**2 + 3*g**2 + 2*g**4)*(-74 - 37 + 23) + g**4 - 2 + 2 to the form l*g**4 + r*g**2 + n*g + v + m*g**3 and give l.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 - (-13 + 6) - -6. Solve 0 = -c + s - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250 and 11900?\nAnswer: 59500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -13363?\nAnswer: 13356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 8*b**2 + 5*b - 7. Let i = 63 - 56. What is x(i)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 - 7*x**2 + 5*x - 1. Give p(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(8\/11*(-14)\/(-56))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in 1, 24\/29, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*i + 411*i**4 - i**3 - 834*i**4 + 421*i**4 + 0*i**2 - 40 + 3*i**2 in the form g*i**3 + r + u*i + z*i**2 + d*i**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 15*m + 6. Let j(y) = -12*y - 5. Let h = -557 - -562. Let n(a) = h*f(a) + 6*j(a). Let r(u) = 2*u**2 + 18*u. What is n(r(g))?\nAnswer: 6*g**2 + 54*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 189 + 199 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 2\/3, 1, 4, 1\/6, -2\/9, 380?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 172728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + ((sqrt(190) + 3*sqrt(190))\/sqrt(10) - sqrt(152)\/sqrt(8)*2)**2 + 5).\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.035024719378+-0.2\nAnswer: -0.235024719378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -254, -899, -2144, -4187, -7226, -11459, -17084?\n\"Answer: -33*o**3 - 3*o**2 - 3*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**2\/13 + 44570*j\/13 + 22284\/13 = 0.\nAnswer: -11142, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 1. Determine z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4530 or 4531?\nAnswer: 4531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.062874\nAnswer: -0.0251496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 207 - 3934\/19. Which is the fourth biggest value? (a) s (b) 0 (c) -1\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 6. Let l = t - -1. Sort -5, l, 0 in decreasing order.\nAnswer: 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8741 to two dps.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*c - 316 - 146 - 441 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*i**4 - 2*i**2 + i + 4*i**2 + 82*i**4 - 2 + 0*i to the form v*i**4 + o + q*i + b*i**2 + f*i**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.3, -0.1, -4\/5, 1.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/(-6))\/(8\/912)*(-30)\/75. Solve -4*s = d - 296 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-120) - 78\/20. Let l = 4.1 - 4. Let i = l - 0. What is the nearest to i in -3, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-57)\/(-12)*297\/(-891))\/((-1)\/12))\/(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*z + 3*z - 10, z - 20 = -3*x. Suppose -x = -3*w + 2*w. Let c be (2 + 24\/(-15))*w. Solve h = -c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(2 + -3))\/((-2)\/4198) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33305*t + 33305*t - 279*t**2.\nAnswer: -279*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 119?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -330 - -397. Let d = h - 152. Does -85 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*b)*(2 - 1 + 1 - 4 + 6 - 3 + (3 - 2 + 0)*(3 - 1 - 4) + 4 - 3 - 3 + 1 - 3 + 3) in the form t + y*b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 12*p + 8. Let f(z) = -2*z**3 + z**2 + z - 3. Let k be f(2). Calculate y(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 + 1223786*i\/11 - 138262280\/11.\nAnswer: -2*(i - 611780)*(i - 113)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 924335 = 1828428. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - o + 20, -2*o - 92 = -5*f - 5*o. Sort 3, f, 1 in descending order.\nAnswer: f, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-3) + 50\/15. Suppose i*k = 295 - 245. What is the smallest common multiple of k and (2 - -4) + (1 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*q = 306*q - 10740. Suppose -4*w + 2 = -5*w. Let f = 2 + w. Solve 4*o = -f*o + q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138.63 + -138.630007453. Round n to seven decimal places.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, -43, 114 in decreasing order.\nAnswer: 114, 0, -2, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1385.1 - -1385. Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -13 + 277. What is the smallest common multiple of 48 and n?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47 - 3a78?\nAnswer: -3a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 182 - -4?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55015*d**2 + 165055*d**2 + 2*d**3 - 55018*d**2 + 2*d**3 - 55022*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {i: 2, f: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/10)\/((-12)\/(-420)). What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 6 - 27. Let f be (54\/135)\/(1\/(5*2)). Solve f = x + b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/15)\/(-7) + 3220\/(-575)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6633622?\nAnswer: 2, 19, 174569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2539 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 23 - 1)\/(1\/(-84)*-63).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33630 and 54?\nAnswer: 302670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29856 divided by -2?\nAnswer: 14928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/60)\/((-4)\/(-20)). Suppose -3*j - f = -3*f - 314, -g*j + 2*f + 212 = 0. Calculate the remainder when j is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*z, 2*u = -3*u - 5*z + 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4979 and 69706.\nAnswer: 69706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:34 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 184313.\nAnswer: 16\/184313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a531b (base 13) to base 16.\nAnswer: 702d8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 1, f: 1, i: 2, d: 2}. What is prob of picking 1 h and 1 d?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119060 by 4.\nAnswer: 29765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = 5, m - r = -25. Let b = m + 43. Solve b = -3*n - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 360, 1\/14, 1?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 5*b + 6. Let c be -8*((-2)\/4 + 0). Let w be v(c). Is 1*(4 - w) - -147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200221222012 (base 3) to base 11.\nAnswer: -568765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/(o**(5\/2)*o))\/(o**5\/o*o**(2\/31)) assuming o is positive.\nAnswer: o**(-469\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59392 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14414 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-1)\/1)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7 - 1.3. Let v = n - -5.99985. What is v rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 68 = -4*x + 232, 2*x - 78 = 3*f. Let h = x - 30. List the prime factors of (8\/h)\/((-4)\/(-150)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 88 = 5*v - v, -4*v = -5*r + 488. Calculate the highest common factor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 - -2. Let s = 10 - 10.4. Let l = s + 5.4. What is the closest to 2 in v, l, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15256569*a**2*g**5 + a**2*g + 2*a**2 + 8*a*g + 229*a + 109*g wrt g.\nAnswer: -305131380*a**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14 + -11 + (-2)\/(-2). Let y be (-14)\/2*(a + -3). Let v = 121\/436 - 3\/109. Sort v, y, 0 in decreasing order.\nAnswer: v, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87792*z + 61438 with respect to z.\nAnswer: 87792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119496776 by 4.\nAnswer: 29874194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.24292 - -16.36.\nAnswer: -0.88292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 10*q**2 - 10 + 29 - 81*q**2 + 81*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11308.\nAnswer: 2, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1925 and 16335?\nAnswer: 571725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -23\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-120))\/((-9926)\/24815).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 times -0.033?\nAnswer: 0.01947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/20 + b**4\/2 - 2*b**3\/3 - 2*b**2 - 35*b. Let r be d(5). Solve -r = -3*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 + 7*y**3\/6 - 5*y**2\/2 + 2*y. Let d be 22121\/121 - 3\/((-99)\/6). Let v = 176 - d. What is s(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 8744892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -48*h + 4. Let c be j(0). Let o(n) = 5*n**2 - n + 1. Let x be o(1). Suppose 0 = -3*k + k - k. Sort k, c, x in descending order.\nAnswer: x, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezkzzzekdd. Give prob of sequence kzed.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2659*n - 688681. Calculate c(-259).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*h*x**2 + 10*h*x + 291*x**2 - 3497*x wrt x.\nAnswer: 20*h + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11411 (base 6) in base 10?\nAnswer: -1663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - m**2 - m**2 + (-5 + m + 5)*(-8*m + 0*m + 33*m).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 23*v**2 + 11*v**2 + 1 - 10*v - 37*v**2 + 4. Determine u(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/7 + 2018910342*i\/7 + 339666580752879747\/7.\nAnswer: 3*(i + 336485057)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - -1) - (148 - 194)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**4\/4 - 5*x**2. Let o(k) = 2*k. Determine y(o(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 - 240.000462. What is h rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440699 less than or equal to 2440696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -93, 1, 14419?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1966 divide 408550528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488 and 48864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7444160791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7170 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217023, -217024, -217025, -217026?\nAnswer: -217027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1, 0.4 in increasing order.\nAnswer: -5, -2, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 9*u + 12. Let d be t(-8). Let q be d\/6 - (-2)\/6. Let v be (-1 - 1) + 13\/5. Is q smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 + 3*y**4 + 0 - 3*y + 2 + 5*y + 1 as p*y**3 + d + q*y + z*y**4 + s*y**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 55*t**3 - 122*t**4 - 13*t - 9 + 6 + 123*t**4 as v*t**2 + m*t + q*t**4 + p + l*t**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-1) + -3 + 0. Suppose 2*r - 32 = -4*j, 0 = 5*j + n*r + 2*r - 30. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 21484.\nAnswer: 21483.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*c - 6*c + 1068, -3 = -i. Calculate the greatest common factor of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 13 (c) 3 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*i + 7 = -7, 6 = -f - 2*i. What are the prime factors of 66*4\/24*f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -21.1. Which is the biggest value? (a) k (b) -7\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 = -3*y. Suppose -5*b + 0*b = 4*p, -41 = -y*b + 5*p. Is b\/14 - 2031\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 94241580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3482327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*p**(-1\/12))**(-35) assuming p is positive.\nAnswer: p**(1295\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 47. Suppose 2*x + 4 = 0, -3*k = -v*k - x - 17. Solve 10 + 0 = -2*j - k*m, 3*j + 2 = -m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3904.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 191 = -8*i + 5*i, -4*i = -o - 38. Do -47 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -14*c + 36. Let o be y(3). Let s(u) = -9*u**2 - 55*u - 6. Let m be s(o). Solve -16 + m = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 - 34 = 4*y. Suppose 0 = -3*l + l + y. Let w = l - 8. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6250 + 0.2473.\nAnswer: 6250.2473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p*p)\/p*p\/(p*p**(-4))*(p**(-1\/2))**(-38))\/(((p\/(p*p**1))\/p**(-2\/21))\/((p\/((p**(-1\/3)\/p)\/p))\/(p*p**4))) assuming p is positive.\nAnswer: p**(404\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 532415408.7.\nAnswer: 532415403.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 a, and 1 i when three letters picked without replacement from {z: 3, r: 4, a: 3, j: 4, i: 6}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - 1.03. Let k = -15019 - -15017. What is the nearest to 1\/2 in 3\/5, -9, k, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(20*y + 6*y + 4*y)*(10 - 18 - 15) as w + p*y and give p.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1554 divided by 224.\nAnswer: -111\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7170 divided by 1434\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 25 = 0, -5*u = -7*u + 4*s - 4. Calculate the remainder when 26 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 y when four letters picked without replacement from yiiiiiiyyyiyiyiyyy.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*p - 164*p = -2. Solve 0*j + 7 = -y + j, -4*j = p*y - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/12 + 4*u**3\/3 - 5*u**2\/2 - 77*u. What is the lowest common multiple of 12 and z(4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/1)\/((-4)\/12). Let k be -1 - (-6)\/(-9)*v. Let h(b) = 2*b. Determine h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h. Suppose -4*w - 31 = -11. Let r(o) = 3*o**2. Let x(q) = -2*q**2 + q**2 + 299 - 299. Let a(u) = w*x(u) - 2*r(u). Calculate i(a(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 518\/8 - 7\/(-28). Does 2 divide 2\/3 + l\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 + 106. Let l(j) = -12*j**2 - 3*j + 8. Let n be l(x). What is the units digit of (-1)\/(-5 + 6) - n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7944000 to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2508241079 is divided by 552?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -81*v - 339. Give g(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 10:23 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 701113, 701116, 701119?\n\"Answer: 3*l + 701110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 554*l**3 + 528*l**3 - 1070*l**3.\nAnswer: 12*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -186313 - -187?\nAnswer: -186126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 31, -70, -1, -6.\nAnswer: -70, -6, -1, 10, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 7)*(62*z**2 - 18*z**2 + 18*z**2) + 34581*z + 94*z**2 - 34581*z to l*z**2 + g + a*z and give l.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62071822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 6:11 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 14998*j - 16. Let y = 16 + -24. Let k be h(y). What is k rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128.99477 + -2.04777. Let h = -127 + f. Let k = h - 0.047. Sort -0.4, k, -3\/4.\nAnswer: -3\/4, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7dd827 - -4?\nAnswer: 7dd82b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 32 = 3*m + 2*z, 2*m + 5*z - 4 = 0. Let y be -119 + 110 - (-10)\/2. Sort 2, m, y.\nAnswer: m, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/b**(-15\/2)*b*b*b*b)\/b)**(46\/3)*b**21\/(b*b*b**(8\/9)*b) assuming b is positive.\nAnswer: b**(2017\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36090 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 6*f**2 + 4. Let y be z(-6). What is the derivative of -y*a + 4*a - a**2 - 3 wrt a?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**3 - 51*w**3 + w**2 - 8*w**3 - 3*w**2 - w**2 in the form k*w**3 + h*w + f + y*w**2 and give k.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 29338?\nAnswer: -29331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:06 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 208\/209 - 12\/19. Are v and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72552737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 29*a - 5357 + 219717. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -w - 3*w. Let g = w + 24. Let p be 32\/(-55) - (-4)\/g. Which is the third smallest value? (a) p (b) -2\/3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*z + 14, 0 = c - 4*c + 3*z + 6. Let f = -11.61 + -3.49. Let p = 15 + f. What is the third biggest value in 5, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 2)\/((-1)\/2). Let u = 313 + -314. Let h = 17 - u. Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*n - 8, -5*b + 10 = -0*n - 4*n. Suppose n = -3*f + 4*f. Suppose -m + 4*o = -38 - 67, f = m - 5*o - 107. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -93, -5, 1.1, 0.02, 0.0294, -0.03?\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 7*d**2 + 6*d - 11. Let n be g(-8). Let s(l) = 2*l + 4. Is s(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 + 3*u + 11. Let i = 23 + -23. Suppose -n - 7*n + 24 = i. Let x(w) = 4*w**2 + w + 5. Calculate n*v(b) - 7*x(b).\nAnswer: -b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/18 and 101\/36812244?\nAnswer: 110436732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248237765.\nAnswer: 5, 49647553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2187 - -34?\nAnswer: 21bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 + 7*q + 3. Calculate b(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 122*l + 3. Let i be q(61). Let r = 4.3 - 4. What is the third biggest value in -0.4, r, i, 15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 2*m**2 + m - 2. Let x be h(1). Factor x + 3\/2*v**2 - 9\/4*v**3 - 1\/4*v.\nAnswer: -v*(3*v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h**2 + 10*h + 6. Let c be m(-8). Let a be (-100)\/(-8)*(-32)\/c. Suppose -2*t + a = 2*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -24*d**2 + 1. Calculate x(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/19 + 38008996*z\/19 - 180585472116002\/19.\nAnswer: -2*(z - 9502249)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**23*q**(-3\/8)\/q**4)**(2\/21) assuming q is positive.\nAnswer: q**(-73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1120042 and 28?\nAnswer: 2240084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22954*m - 3*m**3 - 3*m**2 + 3*m**2 - 22954*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/7 of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/10 - 76\/(-20). Suppose v*a = -4*x + 76, -3*a = 2*a - 20. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272026*n + 2492 = -272204*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*l = 4*t + 125*l + 12, 2*t - l + 6 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -18*y**2 - 104*y - 64. Calculate r(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2471*q - 3. Let b be z(3). Let o = b - 103661\/14. Find the common denominator of o and -85\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 10 + (-13 - 5) + (26 - 24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-33))\/(12\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9269*x**6 - 6*x**2 + 18*x - 10 wrt x.\nAnswer: -1112280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/84)\/(8\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:56 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47331898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3)*66\/(-44). Is z < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 401804\/216356 + 1500\/14.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11459*z - 3198 = 11377*z for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*u - 17920, 42*u - 43*u = -4*o + 14333. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-4 + 4 - 6)*(2*f**2 - 3*f**2 + 3*f**2).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 142\/9, 4, 1498 in ascending order.\nAnswer: 4, 5, 142\/9, 1498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53\/260 + 3\/65. Let t = -5 + 4. Let q be 8\/11*t\/(-4). What is the nearest to q in 2\/7, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:37 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4*o + 172, -5*u + 442 = -0*o - 2*o. Let j be u\/28 + 1\/(-7). Suppose 2*h - 2*m = 24, 1 = -j*m + 13. Is 16 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 713 + -822. Which is smaller: -441\/4 or o?\nAnswer: -441\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3741029400.\nAnswer: 2, 3, 5, 6235049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 5 - (-9 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/(-728)*11 - 3\/8. What is the smallest value in f, 22\/9, -0.1, -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 420*w**4 - 67 - 118 + 1 - 375 with respect to w.\nAnswer: 1680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 5\/6*y**6 + 0*y**5 + 0 - 3\/2*y**4 + 35*y + 0*y**3 + 0*y**2. What is the third derivative of j(o) wrt o?\nAnswer: 600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180 - -84. Let j = -85.1 - i. What is j rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32499592.\nAnswer: 2, 163, 24923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9\/10 - -23\/20. Let u(a) be the first derivative of 0*a - v*a**2 + 3 - 1\/12*a**3 + 1\/16*a**4. Determine k, given that u(k) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and (504\/(-35))\/((-3)\/10).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323728328.\nAnswer: 2, 7, 11, 525533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746893 is divided by 687?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 0*k)*(2*k - 3 + 3) - 2*k**2 + 2*k**2 - 4*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2108, -8441, -18998, -33779, -52784, -76013, -103466?\nAnswer: -135143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 267, 535, 803, 1071?\n\"Answer: 268*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.007, 11\/4, 4, -4.\nAnswer: -4, -0.007, 2, 11\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**3 + 0*x**3 - 2*x**3 + (-x - x + 0*x)*(x - x**2 - x) + 75*x**3 - 49*x**3 - 41*x**3 + (3 - 3 + 5*x**2)*(-2*x + 4 - 1 - 1).\nAnswer: -21*x**3 + 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 23*f**2 + 51*f - 1202. Calculate y(23).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-5)*(-11 + 3) - 3. Solve -m - r = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118667391.\nAnswer: 3, 29, 1363993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + 11*r + 17. Let t(c) = -2*c**2 - 5*c - 8. Let y(b) = 3*k(b) + 5*t(b). What is the units digit of y(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 311533.14\nAnswer: -311532.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1865, 119\/4, 34 in descending order.\nAnswer: 1865, 34, 119\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 1. Let p = -14 + 10. Let z be l(p). Find j, given that 7 - 9*j - 3 + 2 + 3*j**z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604835?\nAnswer: 3, 5, 19, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10760 and 1160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y. Let a(m) = 13*m. Give 5*a(b) - 7*r(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(117) + -5 + 3 + -4 - -3*(-2 + -2 + (sqrt(117) - (1 + sqrt(117))) + sqrt(117)))**2.\nAnswer: -20196 + 3780*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 641919867 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 992*24 - 3 - (-50 - -59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138*q**3 + 1046*q**2 + 63937*q wrt q.\nAnswer: 828*q + 2092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -42*w**2 + 0*w**3 + 0 + 0*w - 1\/24*w**4. Let b(f) = -36*f**2. What is d(b(x))?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/13)\/g))**46\/(g**(-23)\/(g**(-6)*g)) assuming g is positive.\nAnswer: g**(1338\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 9:24 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -33*y**3 - 1. Let x be i(1). Let j = x - -40. Calculate the greatest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in -7, 0, -0.5, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*k**2 - 3208*k + 66*k**2 - 3362*k + 6570*k + 76*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 + 215. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33 + -41 - -4434*((-190)\/(-15) - 0).\nAnswer: 2, 101, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(-1)*g*g**(3\/31) assuming g is positive.\nAnswer: g**(65\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33\/970 + -3329\/1940. Which is smaller: 131 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 + k**2 + 2*k + 1. What is d(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2560552 divided by -320069\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155.9 + -148.1. What is the closest to -0.1 in u, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = -53. Let r = g - -53. Solve 2*s + 16 - 6 = r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7729506, -15458992, -23188478, -30917964?\n\"Answer: -7729486*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61777, -61708, -61529, -61186, -60625, -59792, -58633, -57094?\nAnswer: -55121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1. Let n(y) = -4*y + y + 202 - 208. Give 5*c(i) - n(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3246 + 3245.6. What is the nearest to -3\/5 in v, 0.8, 0.1, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzwd when four letters picked without replacement from whzwllhwdlzw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:41 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -1, 167.\nAnswer: -1, -1\/9, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 2 + -3 + -2. Sort -12, c, -1.\nAnswer: -12, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -165, -21, -9263?\nAnswer: -9263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308950442?\nAnswer: 2, 43, 3592447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a kilometer in centimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 + 5*l**2\/2 - 7*l\/4 - 9\/2.\nAnswer: -(l - 9)*(l - 2)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3.71 + 19\nAnswer: 22.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17241*z + 17255*z + 448 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {l: 3, f: 5, s: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6838 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/16 and 13\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -250.06 + -31.74. Let d = 319 + t. What is d rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 404\/(-72)) + (-3)\/27. Let q = 0.4 - 0.7. Let i = -0.2 - q. Which is the second biggest value? (a) w (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, z: 4, t: 2, d: 1, c: 3}. Give prob of picking 1 c and 2 t.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**5\/60 + 3*g**2 + 10*g + 176. Let t(w) = 2*w**2 + 11382. Determine t(j(z)).\nAnswer: 2*z**4 + 11382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73831, -73767, -73711, -73669, -73647, -73651, -73687, -73761?\n\"Answer: -w**3 + 2*w**2 + 65*w - 73897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**3 - d**4 - 3*d + 2*d - d**3 in the form m*d + o*d**3 + a*d**4 + b + w*d**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2*n = -1, -1387*n = -4*p - 1390*n + 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-12)*(-114)\/(-209).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/36 - (-19)\/4. Suppose 0 = m - x*m + 20. Factor 0*d**3 + 0*d + 0 + 1\/5*d**m + 0*d**2 + 1\/5*d**4.\nAnswer: d**4*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2571 + 2661. Solve -19*h + y - 204 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*3)\/sqrt(10)*2 + (((sqrt(143) + -5*sqrt(143))*6)\/sqrt(11))**2 + 2 + 1.\nAnswer: 6*sqrt(13) + 7491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b + 36 = 112 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398 + 1870 = -2397*v + 2289*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -109, -94, -61, -4, 83?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/(-27)*19390\/49. Let f = -305 - v. Calculate the common denominator of f and 85\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 230406.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - q + 10. Calculate f(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/(b\/(b*b*b\/b**(3\/2))))**(-20) assuming b is positive.\nAnswer: b**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 22 + 29 - 7.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5749271 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -3109555 rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/57 and (4\/12)\/(50\/(-350)).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.1 (b) -6\/11 (c) 4 (d) -0.4 (e) -0.20126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/6 + 6\/(3 - 1). Suppose h - 2*x = 6 - 13, 17 = q*h + x. Solve 0 = -4*c - 16, 0 = h*p + 5*c + 53 - 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 9:31 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196\/(-840)*-45)\/(9\/3)*(-8)\/(-350)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-654600)\/(-80))\/((-2)\/(-20)). Suppose 289875 + q = 7*p. What is p rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3061689767?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.20379 tonnes in kilograms?\nAnswer: 8203.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.1179 - -2.307. Let z = -0.19 + c. Round z to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**3 + 37*f**2 + 3*f + 36. Let y(b) = -3*b**3 - 12*b**2 - b - 12. Let c(g) = 2*w(g) + 7*y(g). What is c(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(sqrt(12)\/(sqrt(6) + sqrt(36)\/sqrt(6)) + (sqrt(162) + -1)**2) + -5.\nAnswer: -662 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-4)\/6) + -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 m when three letters picked without replacement from {k: 2, m: 9, t: 2}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1648 + 3221. List the prime factors of l.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*o + 2*m, 2*o - m - 32 = 3*m. Suppose 4*z = -o, 2*l + 2*z = 47 + 13. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**4 - n - n**4 - 3*n**2 - 4*n**2 - n**2 - 3*n**4 + n**3 to i*n**4 + m + a*n**3 + k*n**2 + g*n and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: (-1)\/(-1)*602\/(-86)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4644 and 54567?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 43967770754?\nAnswer: -43967770756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {s: 1, p: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008559194346 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -306\/7 + 44. Let g = -2.9271 + 2.5271. Which is the nearest to -38? (a) 5 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24 + 2 + 1\/1. Let m be (-6)\/g + (-23)\/18. Which is the smallest value? (a) -0.2 (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15897, -15916, -15945, -15990, -16057?\nAnswer: -16152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 25 = h. Suppose 0 = -0*b + 3*b - 66. What is the least common multiple of b and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 23. Suppose -j*h + 280 = -6*h. What is the tens digit of 126\/(-45)*h\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143.827 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -233999200*n**2 - 200115214 wrt n?\nAnswer: -467998400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 77 = 87. Suppose -1231 = -w*k + 4*r - 77, -4*r + 456 = 2*k. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(2\/(-6)*(0 + -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/(-4))\/((-3)\/(-6)) + 76 + -80. Let -3*z + 0 - s*z**2 - 3\/2*z**5 + 3\/2*z**4 + 9\/2*z**3 = 0. What is z?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*v = -33*v - 756. Let r = 8 + -3. What is the smallest common multiple of v and r?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 2, i: 4}. Give prob of sequence pni.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f - 2*i - 121 = 0, 2*f = 5*i + 88. Let b = 4 - 2. Let w(n) = 8*n - 3. Let k be w(b). What is the greatest common factor of k and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/48)\/(2\/21) and (-5)\/3*(-102)\/(-24).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3)**(5\/8)*(z\/(z*z*z**(4\/3)))\/(z**(-16)*z))**(-32) assuming z is positive.\nAnswer: z**(-1456\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -7*t**3 + 16*t - 8*t + 32*t**2 + 20*t + 11*t**3 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -33855734.\nAnswer: -2\/16927867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + (-1 + sqrt(153) - sqrt(153)) + sqrt(153) + 1*sqrt(153)*4)**2 + -1.\nAnswer: 180*sqrt(17) + 3860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.4022cm in nanometers?\nAnswer: 4504022000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5043*i*k*s**2 - 3*i*k*s + i*k + i*s**3 - 393*i*s + 23*k*s**3 - 15*k*s wrt s?\nAnswer: 10086*i*k + 6*i*s + 138*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1719.4429 + -4\nAnswer: 1715.4429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4191 - -4191.3. Put 23, 5, x, -2\/27, 1 in descending order.\nAnswer: 23, 5, 1, x, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68*t - 68*t - 10*t**2 + (0*t - 4*t + 3*t)*(-2*t - 4*t + 0*t) + 4*t**2 + 0*t**2 - 6*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 - 21. Calculate the remainder when z is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 7*w + 6*w - 5, -881*c + 882*c - 4*w - 1 = 19 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -151, -94, 7, 164?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2. Let d be q(2). Suppose 2*h - 12 = -h - d*v, 4*v = 2*h - 8. Let b = h - 4. Which is smaller: b or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1872 + 1872 - 14*p)*(-3 + 11 + 7).\nAnswer: -210*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 48. Let a be r\/(-14) + (-92)\/322. Solve a*c = -2*j - 2*c + 15, -2*j - 4*c + 14 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 less than -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11 - 47*a + 3 + 33*a + 3*a**2. Let o be b(6). Suppose -3*v + 0*v = 3*d - 288, -188 = -2*v + 2*d. Calculate the highest common factor of o and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 - 395*i + 2118. What is f(5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10528?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742 is divided by 246.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h*h**(2\/9)*h)\/(h**3\/(h\/h**(-1\/2)*h))*(h**(1\/2)\/((h**0\/h)\/h*h))**(2\/31) assuming h is positive.\nAnswer: h**(-2891\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/4)\/c*(((c*c*c\/c**(4\/5)*c*c*c)\/c)\/c)\/c*c**(1\/4)\/(c**(1\/13)\/c) assuming c is positive.\nAnswer: c**(341\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 526*n**2*p**4 + 3*n**2*p**3 - 12*n**2*p + 3*n*p - p**2 wrt p?\nAnswer: 6312*n**2*p**2 + 18*n**2*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -244, -375, -566, -793, -1032, -1259, -1450, -1581?\n\"Answer: 4*c**3 - 54*c**2 + 3*c - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36016*r - 36038*r + 465894. Is r less than 21178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-28) + (-12)\/42?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*g - 21. Let k = 9 - g. Calculate the least common multiple of k and (3 + 0 - 0) + (18 - -23).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 2163 - 2317 = 0. Calculate the greatest common factor of l and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. What is the highest common divisor of 36 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 15295170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (-2*sqrt(143)*-5 + sqrt(143)))\/((sqrt(33) + sqrt(132))\/sqrt(3)).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9133, 18274, 27415, 36556, 45697, 54838?\nAnswer: 63979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-246)\/(-360) + 5\/75?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Let o be ((-2)\/4)\/(3\/(-30)). Suppose -4*i - 27 = -q*c + 61, 238 = o*c - i. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 - -54.96. Let m = 56 - a. Put 0.06, m, 1\/4 in increasing order.\nAnswer: 0.06, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 (base 14) in base 9?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -243\/4 + 61. Which is the third smallest value? (a) -0.05 (b) 2 (c) 2\/7 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11951782939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 28. Suppose -t - 112 = -8*t. Let s be h(t). List the prime factors of (-1)\/(2796\/700 + s).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/856281 - 36853051\/28229872008. Find the common denominator of -47\/20 and r.\nAnswer: 164840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-21 + 2)) + (-11 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*sqrt(640) + sqrt(640))\/(sqrt(72)\/(sqrt(54)\/sqrt(6))) + 1)*5.\nAnswer: -180*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 2. Let d be m(4). Suppose -3*o + 28 = 4*f, -2*f + 40 = -3*o + 8. Suppose -d*q + f*q = 520. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1338 = 9*r - 426. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/90*(-18)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3216341+-0.1\nAnswer: 3216340.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3244?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -2311 = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*j**5 + j**4 + 119*j - 1 wrt j.\nAnswer: -220*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 - 136 - (-42 + -7 + 6).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10128 and 4642?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(225*f - 1030*f - 200*f).\nAnswer: 1005*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w - 17 + 17. Suppose 2*a + 5*s - 1187 = 1490, w = s + 5. What are the prime factors of a?\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228)*-1 - sqrt(228) - (sqrt(228)*1*5 + sqrt(228) + sqrt(228)))\/((2*sqrt(3600))\/(4*sqrt(3)*2)).\nAnswer: -12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6993.05 rounded to the nearest ten?\nAnswer: 6990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -79909, -2\/213 in ascending order.\nAnswer: -79909, -2\/213, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715035243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 24 + -4 - 28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-14)\/x*x\/(x\/(x**5*x)) assuming x is positive.\nAnswer: x**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4.6. Let u = -36 + 18. Let j = u + 19. Which is the nearest to -0.1? (a) j (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34 + 0*n**2 - 182 - 21*n**3 + 0*n**2 - 23*n**3 wrt n.\nAnswer: -132*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106444 is divided by 21287.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -44. Let a(o) be the third derivative of 0*o + 2*o**2 + 0*o**f + 0*o**4 + 1\/60*o**5 + 0. Let s(n) = -5*n. Calculate a(s(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 9*t + 12. Let r be v(8). Let k be (-22 - (0 + -3))\/(-1). Suppose -5*f + k - 9 = 0. Solve r = f*y + 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (23\/276)\/((-2)\/(-8)). Let x(k) be the second derivative of 1\/36*k**4 + 5*k + 0 + w*k**2 - 1\/6*k**3. What is n in x(n) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24246 and 70942?\nAnswer: 1915434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -50d0b (base 15) in base 7?\nAnswer: -2114351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Suppose 4*r - 9 = 5*f, 3*f + r + 2 = -s*r. Let j(y) = -1 + 4*y + 0 + 1 + 1. What is j(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n. Let b(w) = 4*w**2 - 2*w + 11*w + w. Let k(p) = b(p) + 5*j(p). Let c be k(5). Solve 3*g + 12 = -c*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Suppose -3*q + 0 = -2*y + 7, -2*y + 10 = 0. Which is greater: -1\/28 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t - 12 = 0. Suppose -t*z + 2600 = -z. What is z rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*a + 28 = 0, -x + 16 = x + a. Let q(g) = -g - 4. Let d be q(0). Let z = x + d. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 23. Let j be (302\/(-783))\/(12\/h). Let l = j + 78\/29. What is the common denominator of -31\/10 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c. What is o(-7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18152*j**3*x**2 + 44*j**3*x + j**2 - 3*j*x**2 + 2*j + 7*x + 10917 wrt j?\nAnswer: -108912*x**2 + 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*p**3)*p*p\/(p**(2\/25)*p))\/((p**7\/p)\/(p*p*p**1\/p*p*p))*(p*p*p\/(p**0*p))**(6\/19)\/((p**(-1\/3)*p)\/p*p**(-3)) assuming p is positive.\nAnswer: p**(2686\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/(2*sqrt(4)))\/sqrt(3))**2 + 0 + sqrt(208) + 0 + ((-2*sqrt(468) + sqrt(468) - sqrt(468))\/sqrt(9))\/(sqrt(12)\/(sqrt(75) - sqrt(3))).\nAnswer: -4*sqrt(13) + 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/46010 and 1\/3210.\nAnswer: 138030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1417326 to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4 - 3047484*f**3 + 580470275960*f**2 - 8706264858624*f - 19734435201024 = 0.\nAnswer: -2, 17, 380928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*h + 84 = 2*h, 4*k = 5*h - 81. Is 2\/12 - 1100\/k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-361)\/5054*84\/(-123). Put k, 0.5, 2\/9, 2.7 in increasing order.\nAnswer: k, 2\/9, 0.5, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437227 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 + 1.25. Let a = 1.3 - v. Let y = a - 0.19992. What is y rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z + 151 = -15*z - 129. Let o(h) = 0 + 7*h**2 + 2*h**3 - 4 + 9*h - 3*h**3. Determine o(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15)\/12*((-2 - -1) + -91).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126.7 + -0.3. Let y = 128.06 + q. Round y to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 475 and 5795?\nAnswer: 28975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84378 <= 84378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36322 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y\/y**(-1))\/y*y)**(-2\/7)*(y**(-1\/4))**(1\/21) assuming y is positive.\nAnswer: y**(-97\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 0.034 (c) 1 (d) -4\/541\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108381354*j**2 - 14257862*j.\nAnswer: 216762708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 75*z**2 + z. Let y be a(-1). Suppose -4*h + y + 18 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 13 + -17 + -24 - (1 + 5)*1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 - 3 + 36336*h - 3*h**2 - 36336*h to b + l*h + a*h**3 + f*h**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3*v**2\/2 - 14*v - 2. What is the tens digit of d(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 151 = 974. Let m(l) = -l**2 + 32*l + 4. Let p be m(32). Suppose 8*w + 5*u - r = 3*w, -20 = p*u. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-three halves of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -35632.\nAnswer: -1\/4454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -20*u. Let a(y) = 1688957*y**2. Determine a(g(q)).\nAnswer: 675582800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 406*i**4 - 9*i**3 + 2*i**2 - 724044?\nAnswer: 1624*i**3 - 27*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1236010 divided by -247202.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3801*c**3 + 77676*c**2 + 409419*c + 163944 = 0?\nAnswer: -11, -9, -552\/1267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, w: 1, o: 5, e: 2, c: 1}. What is prob of picking 3 o?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*u + 3*p + 63, 5*u = 5*p - 85. Let q = 12 - u. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 844228, 844228, 844230, 844234, 844240, 844248, 844258?\nAnswer: 844270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2892414, 2892393, 2892372, 2892351, 2892330?\n\"Answer: -21*q + 2892435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 58, -261, 2\/7?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -56*t + 392. Let v be h(7). Solve 3*a = -v*a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 336040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5893 is divided by 2569?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = -4*u, 3 = c - 2. Suppose -5*p - 10 = 0, 4*z + 2*p = 5 + 11. Let m = 5 + -5.3. What is the biggest value in u, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {b: 2, x: 1, a: 1, r: 1, c: 1, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2342439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*o - 3. Suppose o = 4*y - q + 6, -y - q - 10 = 3*q. Let f(r) = -3*r**3 - 3*r**2 + 4. Let z(n) = -4*n**3 - 4*n**2 + 5. Calculate y*z(u) + 3*f(u).\nAnswer: -u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -138*z. Let u be q(-2). Suppose -1518 = -2*n - u. Suppose 6*h - 885 - n = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102699 is divided by 51349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 7 - 14*p**2 - 1 + 6 + 16*p. Let x be d(13). Differentiate 0 - 2 + 46*v + x with respect to v.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -498*o + 2841. Calculate c(7).\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*2*sqrt(91))\/(sqrt(7) - (2*sqrt(112) - sqrt(112))).\nAnswer: -4*sqrt(13)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*k + h - 673171, h = -3*k + 1009757. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.7 - -37. Let v = -0.3 + w. Which is the second smallest value? (a) -2 (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**4 - 5*q**4 - 3*q**4)*(-q + 7*q + 4*q + (2 - 2 + 2)*(0 + 0 + q) + 39*q + 39*q - 67*q).\nAnswer: -69*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 12*i + 10. Let q be n(19). Suppose 7*o - 1228 = -q. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)\/(n*n*n**(-2\/11))*n\/n**(-5)*n\/n**(3\/4))\/((n**(-2\/5))**(2\/33)\/(n**(-3\/4)*(n*n**(1\/2)*n)\/n*n)) assuming n is positive.\nAnswer: n**(1057\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 l when four letters picked without replacement from lwlwlllwllwww?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + 0. Suppose 2*q = 5*m + 75 - 5, -66 = -2*q + 3*m. Let w be ((-1)\/7)\/(q\/35). What is the second biggest value in c, w, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2006.\nAnswer: 10030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000128 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32259 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/30 - 20*n**3\/3 - 1707*n**2. Let v(i) = -7*i**2. Give m(v(s)).\nAnswer: -98*s**4 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*f - 236*f - 104*f - 39 + 40*f + 20*f.\nAnswer: -329*f - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4852, 653, 0 in ascending order.\nAnswer: 0, 653, 4852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61940 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 23409\/47 in decreasing order.\nAnswer: 23409\/47, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -132. Suppose 3*h - 7*v = -8*v + 10, 0 = -4*h - 3*v + 20. What is the lowest common multiple of h and t?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 959486562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 14368349.\nAnswer: -2, 1, 14368349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.14 (b) -3 (c) 8 (d) 0.5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1146753 and 8601?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(475))**2 + -5 - sqrt(475) - -5*(1 + sqrt(475)) - ((1 + sqrt(475))**2*1 - sqrt(475) - (sqrt(475) - (sqrt(475) - (1 + sqrt(475)))*-3))).\nAnswer: -18 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1457 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4542 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 11. Suppose -n*s - 7 - 5 = 0. Is (s - 16\/(-4)) + 31 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52322*(-25 + 2)*1. Let t = g + 3179149. Suppose -t = -k - 255743. Round k to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let r(h) be the first derivative of 5*h**2\/2 + 6. What is 4*o(v) + r(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 68 = -4*l, 0 = -5*l + 14 + 11. Let p = -16 + x. Solve 5*j - 2*v = j + 8, p = 3*j + 2*v - 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jivwwivibvv. Give prob of picking 2 v and 1 i.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 438.1262 decades?\nAnswer: 52575.144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 3*j**4\/20 + 52*j**3\/5 - 21*j**2\/2 + 2*j - 9. Factor a(u).\nAnswer: 3*(u + 35)*(3*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(271086\/(-12) + 19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -995, 0.06, -21?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/7, -4, 27856, -5.\nAnswer: -5, -4, -2\/7, 2, 27856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - h**2 - 6*h + 0 + h**2 + 2. Let t be y(2). Which is bigger: t or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10) - (-176)\/(-55).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**2 - 4*u**2 - 2*u**2)*(5 - 30804*u + 30804*u - 130*u**2) + 0*u**4 + 4*u**4 - 3*u**4 to v*u**4 + f*u**3 + a + n*u**2 + q*u and give v.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibxbkqd. Give prob of picking 1 i and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -24716.83 to the nearest one hundred.\nAnswer: -24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -5*h**7\/42 + 7*h**4\/4 + 4*h. Find the third derivative of t(n) wrt n.\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/17)*y*y**(1\/18) assuming y is positive.\nAnswer: y**(269\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -26 - 53 + 1349*f - 1353*f + 12 + 3. Give s(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -127\/8. Let j be (-1)\/(-2)*4\/(-7). Let s = -608\/5 - -122. What is the nearest to 0.1 in s, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.58 + 0.42. Let j = l - 11. What is the second biggest value in j, 0.5, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/4 (b) 0.3 (c) -28.3 (d) -17\/2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772 + 772 + 521*v**2.\nAnswer: 521*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 304522809 at least as big as 304522808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rxrxxr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -33. Let m = y - 5.5. Which is the second biggest value? (a) -17 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0574 - 307.9426. Let p = i + 317.8. Which is smaller: -1\/2 or p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - s**2 + 290*s + 3. Let j be n(0). Which is the closest to -1.1? (a) 0.024 (b) 4 (c) 1\/10 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 200*q**2 + 7. Let n(x) = -11*x - 2. Give r(n(w)).\nAnswer: 24200*w**2 + 8800*w + 807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdss when four letters picked without replacement from dgsdgsgodggg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/30*4)\/(2\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0072204 to four decimal places.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*s**3 + 94*s**3 + 137*s**3 - 40*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = -4*s, 9 = -4*s - 5*f - 8. Suppose -j - 3*t = 266, -s*j + 5*t - 269 = 241. What is j rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 440, 1134, 1824, 2510?\n\"Answer: -2*t**2 + 700*t - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -4 (b) 4 (c) 90\/23 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 30*k - 157. Let j be s(23). Let p(v) be the third derivative of 0 - 1\/3*v**3 + 6*v**2 + 0*v + 1\/24*v**j. Give p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*s - 12, -2*q + 60 = 3*q + 5*s. Let f = 11 - q. Let v be (-1 - -3)*f\/(-6). Is -0.4 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000010010110101 (base 2) to base 11\nAnswer: -90422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 29484.\nAnswer: -1\/14742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 + 126. What is the units digit of (2 - z) + 136 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2520 by -14.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 i when four letters picked without replacement from irirrrrrirrrirrrrrr?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -6. Suppose 10*k + 84 = n*k. Solve -2*t + k = 3*v + v, 2*t - 2 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*u + 4*h, 68 = 4*u - 0*h - 4*h. Let s = u - 6. Let y be (1 + s\/8)*2. Solve y*z = -7 - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91069\/2802 + 2\/1401. Calculate the common denominator of o and -5\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 2 = -7*f. Suppose 0*k + 108 = f*k. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h + 720. Let o(j) = -3*j - 150. Let f(x) = -24*o(x) - 5*p(x). Let a(l) = -4*l**2 - 4*l**2 + l**2. Give a(f(y)).\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2215, -306, 2, -4 in decreasing order.\nAnswer: 2, 1, -4, -306, -2215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -21. What is the nearest to s in 1\/8, 1\/6, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31042.\nAnswer: 2, 11, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 492174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = 32*p - 20520. Let n = p - 461. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + 1.29. Round o to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 521586 and 86931?\nAnswer: 521586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2364 = 2*g - 810, 4*q + 2*g - 1574 = 0. What is the greatest common factor of 46 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*v + i, -v - 2*v + 3*i - 3 = 0. Suppose n - 3*u + 3 + v = 0, 5*u = -3*n - 4. Is n < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*sqrt(1573).\nAnswer: -5 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -18. Differentiate 2565*o**2 + 18*o**3 - 2565*o**r - 18 wrt o.\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = n - 117, 0 = 5*n - 5*q + 311 - 871. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-1 - -5) + -18 + 23. Let m = -81 - -80. Put -5, l, m, -2 in decreasing order.\nAnswer: l, m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*r**3 - 56*r**3 - 69*r**3.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -698.99999286 + 699. Round k to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3624.24*-61.\nAnswer: -221078.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 6*q + 6. Suppose 0 = -41*s + 46*s + 30. Let l be i(s). Find a such that a**2 + 18 + 12*a - l*a**2 + 10*a**2 - 3*a**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21398549543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (19 - 15)) + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -157656198?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 2*c, -4*h - 2777 + 2747 = h - 4*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 482128107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2274 and 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-242)\/6 + 1)\/((-12)\/4194). Suppose 2*g = x - q, -4*g = 5*x - x - 54976. Suppose 0 = -16*p + 8607 + x. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)\/d**(-4))\/(d**(-6)*d**4)*(d**(2\/3)\/d)**(-1\/54)\/(d**6\/(d*d*d*d\/(d*d*d\/(d\/(d**(-2\/13)*d*d)))*d)) assuming d is positive.\nAnswer: d**(21313\/14742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37963395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 63*z + 240. Let c be d(4). Solve 16 - 4 = 2*o + 4*f, c*o + 3*f = 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1830 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2455335 (base 6) to base 9\nAnswer: 221185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1))**34\/((((o*o\/(o*o**(-2)))\/o)\/o)\/o)**32 assuming o is positive.\nAnswer: o**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810278.\nAnswer: 2, 3, 163, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 60.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 12:57 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.979303ms to weeks.\nAnswer: 0.0000001586959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 9. Let n be k(9). Let v = -33 + 36. Suppose -z - v*z + 40 = n. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 3, -1, -5, 0.3, -2290?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t - 10. Calculate d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-1\/6)*n*n**(-2)*(n**0)**(-6))\/(n*n**(2\/3)*n\/(n\/(n**(2\/3)*n))*n*n*n**(-1\/7)*(n**(-2\/9)*n*n)\/n) assuming n is positive.\nAnswer: n**(-605\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 1 + j**3 + 24 - 2*j. What are the prime factors of o(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 - 2*r**2 + 0*r**2 + 3*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775 a factor of 355738351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 9*u**2 - 12*u - 19. Let h be m(-10). Let s be 62\/(h\/(3\/(-6))). Let t = -14 - s. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000110 + 1001011100?\nAnswer: 1100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*z**4 + 4*z - 16 wrt z?\nAnswer: 1728*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -843, 19433, 39709, 59985, 80261?\nAnswer: 100537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8*u + 7*u = 4, 2*u = 0. Solve 0 = -5*o - 4*g + 8, -x = -o + 5*o - g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 + 233. Calculate the remainder when 526 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 2. Let s be i(-3). Suppose -13 = -4*f - 4*w - s, 0 = -4*w - 4. Let p be (-1)\/(f\/(-2 + -2)). Solve 0 = 4*v - 5 + p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189.95 + -184.95. Which is the third biggest value? (a) 4 (b) -2\/57 (c) f (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -484\/45, -2\/111, -0.1, -2\/17, 0.3, -0.3, -0.5?\nAnswer: -484\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -17. Let b be (-78)\/20 + 4\/10. Let u = -5319 - -5314. What is the second smallest value in u, 5, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65248 and 51935369.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, 4, 0, -27, -22, -9 in increasing order.\nAnswer: -27, -22, -16, -9, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 280127.92 + -280128. Let m = 5.2 + -0.2. Which is the second biggest value? (a) 0.6 (b) -1 (c) m (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1742.939478 to the nearest integer.\nAnswer: -1743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -0.2, 0, -145, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 + 553*k + 214 + k**2 - 551*k.\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/13? (a) -2\/21 (b) 5 (c) -0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 508*x - 797*x + 344*x to the form y + d*x and give d.\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101 - -210?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drnndindrnr. Give prob of sequence nnrn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5555067882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5111 is divided by 88.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 273587580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + h**2 - 5*h. Give v(-4).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-48)*(-248)\/(-18)*108\/180\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -14*w**3 + w**2 + 3*w. What is the remainder when r(-2) is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 + p**2 + 4*p**2)*(-44*p + 44*p - 16*p**2) as b*p**2 + r*p**3 + n + m*p**4 + z*p and give m.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*r - 0*r + 6, -2*r = 4. Suppose 2*j = -6 - o. Let u be 4\/(-2) - (-2 - -2). Which is the second biggest value? (a) u (b) j (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 5*r**2 + 3*r**2)*((-4 + 1 + 2)*(-1 + 4 - 5) + 8 + 7 - 6)*(-1 + 1 - 1 + (1 + 0 + 1)*(0 + 2 + 0)).\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 18 = 4*x - 20, -4*x + 32 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2*(-2 + -1). Let q = t + 0. Suppose 79 = 4*s - 3*o, 32 = q*s + 2*o - 6. Calculate the remainder when 46 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 + 2) - (-7 + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352 by -1.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a day in minutes?\nAnswer: 2448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2*d = 16, -3*d + 27 = -193*f + 99*f + 97*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.6. Let g = -5.76 - -0.76. Let c = -0.05 - -0.13. Put g, c, p in descending order.\nAnswer: c, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -14 + (-6 - -5) + 0\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + (sqrt(637) + (2 + sqrt(637) - sqrt(637)) - sqrt(637))**2 - (sqrt(637) + 2 + 0)).\nAnswer: -7*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232013 (base 4) to base 9.\nAnswer: 4038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -805.7 - -806. Which is the third smallest value? (a) 410 (b) z (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2580)\/400*-5 - 30?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 3*f - 2. Let t be m(4). Let k(u) = 4*u + 3*u**2 + 7 - t*u**2 + u. Is k(-7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**2. Let o(j) = 19*j + 2167. What is o(d(n))?\nAnswer: -114*n**2 + 2167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 2*q + 4*q + (2*q - 4*q + q)*(-1 - 1 + 4) - 34 + 22*q + 34 + (0 - 1 + 3)*(0*q - q + 0*q) in the form z + d*q and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 28*m**2 - 249*m - 5136. Determine a(-26).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -280*z + 272*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-696)\/(-144) + 2\/12. Suppose -d*f = j + 4, j - 6*f + 2*f = -4. Let h be ((-2)\/j)\/((-50)\/(-40)). What is the second biggest value in h, -3, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1776 by -1.\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.72 and -34419.\nAnswer: -34419.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80200 and 400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 21*b**2 - 7*b - 132. Let o be s(-21). Calculate the common denominator of 39\/(-6) + 7 + (-141)\/o and -107\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -1785\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0828 + 4.9172. What is the nearest to -1\/4 in -3, d, -0.72?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.44 and 12?\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from {b: 2, e: 10, g: 6, u: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/3 - n**4\/12 - 13*n**3\/6 + 2*n**2 + 37. List the prime factors of g(-4).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11046311*y**4 - 443*y**2 - 3*y + 240 wrt y.\nAnswer: 265111464*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1691 and 4361?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 205*q - 251?\nAnswer: 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q + q + 6210. Let v = 162 - q. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30\/50 + ((-1461416)\/40)\/(-11)?\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**7\/17640 + o**5\/840 - o**4\/3 + 7*o. Let d(x) be the third derivative of y(x). Solve d(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 22 = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.6969*-4\nAnswer: -18.7876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 1 = -8. Solve 3*f - 1 = v, 3*v = -2*f + z - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-24 - (-12 + 2)) + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1406 = 2*k - 5*d + 4*d, 3*d = -2*k + 1406. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t + 4. Let y(o) = 23*o + 8. Determine 11*g(n) - 6*y(n).\nAnswer: -17*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 2*sqrt(98) + sqrt(2))**2 - sqrt(16)\/sqrt(2).\nAnswer: -2*sqrt(2) + 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -1730?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -1 + 11 - (-2 - -9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 1, v: 2, j: 3, i: 3, k: 2}. Give prob of picking 1 o, 2 d, and 1 k.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-4 - -8) + 7 - -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*p + v, -52*v = 11*p - 45*v - 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.087 + -4.087. Let o = j - -46. Let k = o + -41.948. Round k to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 26*s - 73. Let b be p(9). Suppose v - 1 - 3 = 0. Let x = 2 + -7. What is the second smallest value in v, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Suppose 3*y = -3*g + 2*y - 15, 2*y = 3*g + 15. Let h be g\/(-75) - 2\/5. What is the closest to 0.2 in -2, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 134736 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 23.3, 5.\nAnswer: 3, 5, 23.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/24*16*(-1)\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7844248259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + v + 20. Let l(b) be the first derivative of -7*b**2\/2 - 10*b - 12. Let s be l(v). What is the greatest common factor of 198 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 68026 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 2. Let n be g(2). Let l be (-4)\/6*(63\/(-15) - -4). Which is the nearest to n? (a) l (b) 0.5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**4 + 24*g**3 + 68*g**2 + 36*g + 4. Let s(i) = 4*i**4 - 25*i**3 - 68*i**2 - 36*i - 3. Let k(t) = 4*s(t) + 3*u(t). Factor k(x).\nAnswer: 4*x*(x - 9)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 0*l + l + (0 - l + 0)*(-3 - 3 + 0) + (-1 - 1 - 3)*(-l + l + 2*l) in the form h + o*l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a9ba (base 15) in base 11?\nAnswer: 247291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -0.28\nAnswer: -5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599317.\nAnswer: 19, 31543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/2167484 and 51\/20.\nAnswer: 10837420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((20\/(-90))\/((-1)\/(-51)))\/((-120)\/(-180)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 429014485 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g. Suppose -4*n = -4*v - 40, -n - 2*n - v + 14 = g. Suppose 2*h + 64 = n*h. Calculate the highest common factor of 112 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 4. Let g = 1.65 - 27.65. Let p = -25.9 - g. Sort -4, p, -3, n.\nAnswer: -4, -3, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1791, 6204, 13493, 23652, 36675, 52556, 71289?\n\"Answer: -w**3 + 1444*w**2 + 88*w + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p**9)\/(p**(-22)*p**32) assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - -0.167\nAnswer: -0.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544401 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 4*v - 3*w - 33, 3*w + 51 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.4 (c) 16 (d) 2\/13 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzkkktkkccktkj. Give prob of picking 1 j and 1 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0*z)\/z)\/z*z**(2\/23)*z**(-2\/11)\/(z*z**(-7)*z))\/(z**10\/z*z**(6\/7))**(-26) assuming z is positive.\nAnswer: z**(460798\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01097 - 3.98903. Let g = -29 - -29.3. Sort u, 3\/2, g, -1 in descending order.\nAnswer: 3\/2, g, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.87811 * 515.\nAnswer: -452.22665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/5 (c) -0.01 (d) 0.09 (e) 0.1 (f) 386\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6864 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 8 = -2*d, -20*l + 12 = -17*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1\/3, 0, -5, 58 in increasing order.\nAnswer: -5, -1\/3, 0, 25, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-100)\/(-15))\/(2\/3). Suppose -5*z - l - o = -141, 4*l + 126 = 5*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 25 = -2*w, 7 = -w + 3*s + 22. Suppose w*p - 1 = p. Let y = 9 - p. Find the common denominator of y and 37\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - z - z + (1 + 3 - 3)*(108*z - 588*z + 240*z) + 2*z + 2*z - 5*z.\nAnswer: -240*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*q - 1\/6*q**3 + 16 - q**2.\nAnswer: -(q - 4)*(q + 4)*(q + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 22*v = 0, 3*v + 37 = f. Solve g + f = 34 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 17 - (-1 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 2 + 3)*(-3*m - m - 3*m)*((4 + 2 - 5)*(m + 2*m - 5*m) - 4 - m + 4 + m + 2*m + m).\nAnswer: -98*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-99))\/((-1)\/(-9)). Let h be ((-4)\/(-10))\/(56\/35). Let k = -4 + 3. What is the closest to k in -0.5, n, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 20. Suppose q = -2*x + 4 + n, 0 = -x + 3*q - 6. Suppose 0 = -8*i + 11*i - x. What is the lowest common multiple of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 235*i**2 + 350*i - 298. Differentiate l(x) with respect to x.\nAnswer: 470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10825? (a) 2 (b) -49 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 6. Let r be h(8). Suppose 2*l = 2*o + 17 + 51, 3*l + 3*o - 114 = 0. Calculate the greatest common factor of r and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:37 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 + 36*u**2 - 62*u - 456 = 0. Calculate u.\nAnswer: -19, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17099*m + 7*m**3 + 8547*m + 8552*m.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1769 and 55448?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 205 + -207. Calculate the common denominator of (1\/43)\/((-3)\/93) and (305\/75 - 4)\/(c\/25).\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -34*v + 2. Let j(t) = -3*t**2. Give h(j(y)).\nAnswer: 102*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 9*m**2 - 20*m - 16. Calculate o(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from oohhohhblbohobo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5464.85315 - -5465. What is m rounded to three dps?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 1717632.\nAnswer: 1717632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 - (-3 + -2). Suppose l + 10 = 3*k. Solve -k = m + 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s = -4*w - 4413, -4413 = -3*s + w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-11104)\/1120 - 4\/14).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.63 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -10, 14, 56, 122, 218, 350, 524?\n\"Answer: j**3 + 5*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26094 is divided by 12615.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -bd96?\nAnswer: -bd91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -85*b**2. Let s(j) = 18*j**2. What is v(s(a))?\nAnswer: -27540*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9125, 11322, 13523, 15728, 17937?\n\"Answer: 2*r**2 + 2191*r + 6932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 301401 + 3?\nAnswer: 301404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106197087?\nAnswer: 3, 1933, 18313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5 = 0, 3*g = 4*d + 435 + 25. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3562?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -29*z**3 - 900*z**2 - 33*z - 59. Let y be a(-31). Solve 1\/3*g**y + g + 10\/3 - 2*g**2 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m + 267. What is the units digit of o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/781 and 60\/497.\nAnswer: 5467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 1 - 17 = 4*d, -14 = 5*q + 2*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 555424 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16662?\nAnswer: 2, 3, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -n - 148, 0 = -3*h + 2*h + 3*n + 38. Let u = h - 146\/5. Let z = -7.6 - -8. What is the nearest to 1\/4 in 0.2, z, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2750021 + -0.1.\nAnswer: 4.1750021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z - 6. Let r be k(4). Calculate the greatest common factor of r and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 352.7 - 354. Which is greater: -0.24 or a?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49462245 divided by -610645?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -0.18?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223.7 - 0.64.\nAnswer: -224.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -451748*j - 800259.\nAnswer: -451748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61 and 1037.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 2*r + 2. Let x(y) = 9*y**3 - 21*y - 21. Suppose 5*z = 3*z - 3*q + 19, -56 = -3*z + q. Suppose 0 = -5*i + z - 27. Determine i*x(k) - 21*b(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r**3 + 0*r**2 + 28*r**3 - r**4 - 9 + 2*r**2 + 12*r = 0 for r.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u - 1. Let b(l) = -l. Calculate 3*b(p) - n(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/10 + 438\/30 + -6. Let s be 4*(-35)\/(-40)*j\/7. Suppose 2*t = h + 11 + 15, -2 = h. Solve 2*w = s - t, w = -3*g - 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6659 + 6658.7. Which is smaller: -684 or i?\nAnswer: -684","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62292 and 8?\nAnswer: 124584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257672338 is divided by 5501.\nAnswer: 5498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6900.01206436 - 16\nAnswer: -6916.01206436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 4*d**3 + 9 + (d - 3*d**2 - d)*(d - 2 + 2) to r*d**2 + q*d + i + j*d**3 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2400 divided by -240.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - (-11 + 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346 is divided by 76.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o. Let s(r) be the second derivative of r**4\/12 - 13*r. Give s(n(d)).\nAnswer: 81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a64d93 - -28?\nAnswer: a64dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 13545618 and 13545620 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 15653520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/96630 and -163\/237419910.\nAnswer: 237419910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 32. Let v be 2\/16*40*(-2)\/(-5). Let j(p) = 7 - 28*p**v + 3 - 10 + 30*p**2. Calculate z(j(f)).\nAnswer: -4*f**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59184 or -59075?\nAnswer: -59075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 341 + -5?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1717 - 902. Let k be o\/20 + (-3)\/4. Suppose -v = v - k. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -48 - 66*v**2 + 65*v**2 - 10*v + 41. What is y(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1121*c. Let k(z) = 7*z. Give k(n(u)).\nAnswer: -7847*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((5 + 0 + sqrt(1300) - (-2*(-1 + sqrt(1300)))**2)*-6 + -1)*-2.\nAnswer: -249546 + 4320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 2*d**2 + 4*d**2)*(0 - d + 0).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3521 + 27?\nAnswer: 3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l + 2*l + l + (0*l + l - 2*l)*(2 + 4 - 1) + l - 1 + 1 - l - 5*l + 2*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13211 or -1659?\nAnswer: -1659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/5 + 121892*o\/5 + 46978014\/5 = 0.\nAnswer: -383, 61329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*v + 18075 = 0, -5*v = w - 6982 - 11135. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 94514*w + 4. Let l be g(3). Let s = 5108911\/18 - l. Let j = s - 282. What is the common denominator of -25\/14 and j?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -322824, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d. Let s(p) = 969*p - 1. Give k(s(y)).\nAnswer: 969*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/11*(-2 + (-15)\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 6367*o - 46 + 6369*o)*(2*o - 5*o - o).\nAnswer: -8*o**2 + 124*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 22750000 to the nearest one hundred thousand.\nAnswer: 22800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -14*t + 13*t. Solve 0 = t*h - y + 2 - 16, y = -h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*46928\/(-22626)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3923803680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, m: 3, j: 6, b: 3, g: 1, i: 2}. Give prob of sequence nbbg.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + 6. Let i(u) = -7*u**3 - 5*u**2 - 5*u - 2. Let p be (-5)\/(-25)*5*(-2)\/2. Let h be i(p). What is the greatest common divisor of h and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2324 and 97\/282366.\nAnswer: 564732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 5. Let c(j) = 3. Let i(z) = -5*c(z) - 3*d(z). Let l(s) = 16*s**2. What is l(i(h))?\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 2 + 1 + n**2 - 3.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/(-65) + (-154)\/(-20) and -14 + 40 + (-2 - (1 - 0))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42, 74, 108, 144, 182, 222, 264?\n\"Answer: b**2 + 29*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 + (-949)\/(-26))\/((-138)\/(-68) + -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -18, -3 in descending order.\nAnswer: -3, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28724 divided by 12?\nAnswer: 7181\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 6646*s**3 + 19930*s**2 - 119652*s + 144 = 0?\nAnswer: -6, 4\/3323, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.037 - -0.163. Let s = 0.48 - -3.22. Let j = 1.3 + s. Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-425)\/510*(-23)\/((-920)\/224)*(-3)\/(-62)?\nAnswer: -7\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9 - 20*b + 2*b**2 - 7 + 2 - 3*b**2. Let f be t(-20). Suppose 26 = r + f*s, -r - s + 71 = -6*s. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 22*i**2 - 23*i + 40. Let s be k(21). Let y(d) = -313*d - 11. Let c be y(s). What is the tens digit of 2\/(1*5\/c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*w**2 - 6 + 30*w**2 + 6.\nAnswer: -47*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515 = -13*i + 5*t - 419, 4*i + 6*t - 25 = 3*t for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -130104 (base 5) to base 4\nAnswer: -1032211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (1 - -34 - 3) + -4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189.9 - -190. Suppose -2*z + 2 = -4*z. Let u = z + 2. Which is the third smallest value? (a) 2 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/(l**(-4\/5)\/l))**(-28) assuming l is positive.\nAnswer: l**(-287\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -161 - -165. Is 10 a factor of h*233\/2 - (1 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/7 - 43\/21. Let k be ((-2)\/(3 + -25))\/(-1). What is the closest to c in -2\/11, k, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 329 - 40373.\nAnswer: -40044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/12 - (177\/6 - (12 + -2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o - 4*o**3 + 0*o**3 - 5 - 11*o**2 + 5*o**3. Is p(10) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -335, 1, 3 in increasing order.\nAnswer: -335, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 36) + -6 + -14\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from ggggglgbdbgggg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 722.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/37, 2, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0*x + 1\/4*x**4 + 0 - 1\/42*x**8 - 2\/35*x**7 + 1\/60*x**6 + 2*x**2 + 1\/6*x**3 + 11\/60*x**5. Suppose d(n) = 0. What is n?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178835\/22 + 8126. Calculate the common denominator of -35\/92 and b.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -948.2 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzrff. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 34*l**2 - 123 - 1156*l - 1\/3*l**3. Determine x so that t(x) = 0.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 651 and 526287?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -477 (base 10) to base 9.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 652*v + 6696. What is the smallest common multiple of r(-7) and 44?\nAnswer: 23452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 22, 66, -7, -2, -3 in descending order.\nAnswer: 66, 22, 2, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 20 = -j, -2*d + 24*j + 38808 = 38922 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 3295.1.\nAnswer: 329.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12.0079 * -500\nAnswer: -6003.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98*5.\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2095.386ml to litres.\nAnswer: 2.095386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 368 - -4?\nAnswer: 36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62.1653 + -0.6753. Let c = b + -61. Let q = -0.01 - c. What is the biggest value in -5, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444\/(-4662) + (-64)\/(-1554).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -55, 49, 201, 413, 697?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 41. Is 134\/10 + (-24)\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3757*l**3\/2 - 52599*l**2\/2 - 184107*l\/2 - 49\/2.\nAnswer: -(l + 7)**2*(3757*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2724 + 2723.935. What is u rounded to 3 dps?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-617)\/2468)\/(2\/232).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594700 is divided by 31299?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(2 - 7) - (-2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -1. Suppose 0*s = a*s. Suppose -5*j - 1 = -f + 5, -2*j = s. What is the remainder when 10 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3916 - 6.\nAnswer: -3922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2 - (13 - 6)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + -5635638351.73?\nAnswer: -5635638439.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2007.014 kilograms?\nAnswer: 2.007014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 7:59 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = 4*a - 20, j - 5*a + 1 = 0. Suppose 4*x - 18 = -j*v + 2*v, -4*v + 3*x + 3 = 0. Let z = 5 + -4.5. Sort 0.2, v, z in ascending order.\nAnswer: 0.2, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 467\/4. Let u(g) = g**3 - 4*g**2 - 4*g + 1. Let t be u(5). Let z be t\/3*(-1)\/(-7). What is the closest to 2\/7 in x, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 2*a - y - 150, -2*a + 4*y = -82. Suppose p - m = -19 + 3, 0 = -2*p + 5*m - 41. Let r = a - p. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o. Let m(y) = 7*y + 2. Calculate 6*a(p) + m(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 + 230\/3. Let t be (-1 - 1)*-2*42\/24. What is the highest common divisor of t and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 9:26 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43309 * -103\nAnswer: -4460827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 3. Let g(q) = q**2 - 7*q - 8. Suppose -4*h - 2*i = -26, -3*h = -h - 5*i - 31. Let n be g(h). Let z = 6 + n. What is m(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 6 - -8) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 39 - 6 = 0. Let l be -2 + c\/((-33)\/(-156)). Let p = 6 + l. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, 68, 314, 648, 1064, 1556?\nAnswer: 2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 655596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r**2 + 29*r**2 - 19*r**2)*(-23*r - r**2 + 27*r - 87*r).\nAnswer: -21*r**4 - 1743*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 6:04 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d - 83 = -5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3423?\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 94 (base 13) to base 4\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/19)*g)\/(g\/g**(-2\/7)))\/(g**(-5)*(g\/(((g**1*g)\/g*g)\/g))\/g*g) assuming g is positive.\nAnswer: g**(613\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -3000599.4 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-151)\/(-5) - 68166\/(-24345)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7870 divided by 2.\nAnswer: 3935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -61\/24*d**4 - 3*d**2 - 1\/6*d**3 + 0*d + 0. Let f be n(-1). Calculate the highest common factor of 24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 105, 86, 67, 48?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(2057) + 4 - sqrt(2057)) + sqrt(2057)) + sqrt(2057) + sqrt(2057) + 0 + 3)**2*6.\nAnswer: 28512*sqrt(17) + 794262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 8 + 13. Suppose -j*q + 20 + 10 = 0. Suppose -q = -3*v + 275. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 + 855*n**2 - 124802*n + 246192 = 0 for n.\nAnswer: 2, 184, 669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 413, 839, 1275, 1727, 2201, 2703?\nAnswer: 3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 8*x = -9289. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421*t = 397*t + 2352. What is the nearest to -0.1 in 0.04, 0.2, t?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 127.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81353538 a multiple of 841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226 or -31?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 4. Let c be x(-4). Let f = 44 + -50. Let y be (12\/(c + -8))\/(f\/4). Solve y*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4\/5 (b) 4\/7 (c) 3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -111499, -446000, -1003567, -1784254, -2788115?\n\"Answer: -9*m**3 - 111479*m**2 - m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 6:19 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27525, -43215, -58905, -74595, -90285?\nAnswer: -105975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i - 2*i - 4*i)*(9*i - 5*i - 8*i) + i - i + i**2)*(718*i + 706*i - 1533*i).\nAnswer: -1417*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879418 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -395.36146 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-3 - -2 - -2). Let q = -5\/37 - 323\/74. Let n = -9366 + 9366.1. Which is the fourth smallest value? (a) n (b) -4 (c) q (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g*g\/((g**(-1\/3)\/g)\/g))**49\/(((g**0\/g)\/g)**13*((((g*g**0*g)\/g*g)\/g)\/g*g)**(-32)) assuming g is positive.\nAnswer: g**(1546\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*s - 4*h = -586*s - 5, -5*h + 124 = -38*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -28.92 in decreasing order.\nAnswer: 5, -4, -28.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 96\/18*162\/(-540)*10\/(-28)*8\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1655171 to the nearest 10000.\nAnswer: 1660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -280754.98 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwgg. What is prob of sequence ggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3591845 or 3591842?\nAnswer: 3591842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*m**4 + 2*m - 53*m**3 + 0*m**2 + 55*m**3 - 7*m**2 + 5*m**2 as q*m**2 + i*m + p*m**3 + n*m**4 + b and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h. Let w(z) = -5*z**2 - 10*z + 3. Let n(t) = -t**2 + t + 1. Let f(l) = 3*n(l) - w(l). Give u(f(v)).\nAnswer: -4*v**2 - 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Let x = 13 - 14. Let u be ((-2)\/10)\/((-6)\/(-15)). What is the second biggest value in x, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 416 + -414. Suppose 0 = 4*t - 4*u - 4436, i*t + 3*u = -0*u + 2213. Is 58 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/7423 and 56\/75.\nAnswer: 556725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*j**3 + 61*j**3 - 83*j**3 - 33*j**3 + 59*j**3 + 28*j**3.\nAnswer: -269*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + 1*sqrt(384))\/(-2*sqrt(800) - sqrt(800)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-56)*8\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/(-22) + 24\/(-66). Suppose -6*j = -4*v + 36, -4*v + x*j - 10 = -30. Suppose -28 = y + 5*k, 11 = 4*y - y - 4*k. Put y, 1, 2, v in decreasing order.\nAnswer: v, 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 14*z - 7*z)*(-11 - 74 + 2*z - 91) in the form w*z + j + t*z**2 and give w.\nAnswer: 3344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h + 2391*h**3 - 3*h**2 - 3 - 23728*h**3 - 1459*h**3 - 3*h. Let m be i(-4). Let b = -3688905 + m. What is b rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.85 + -0.05. Let w = x + -0.7. Let v be 4\/10*980\/1568. Which is the second biggest value? (a) v (b) 0.05 (c) w (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24e (base 16) to base 4\nAnswer: 21032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k - 13. Let o be d(9). Suppose 67 = o*w + 27. What is the units digit of 3*4\/12*w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-459)\/63 - (0 + (-4)\/14). Let l(u) = -2*u - 11. Let i be l(w). Find the third derivative of 8*h**3 - i*h**3 - 179*h**2 + 193*h**2 wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113094*o + 3 = -113096*o - 3*i, 3*i = o - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3132 + -2?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 351 - 356 + 0*o**2 - 19*o - o**2 - o**3 as n*o**2 + x*o + j + v*o**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14746 and 1387?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 193432*n - 10.\nAnswer: -193432*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 11158?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52213 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3181 - -24565. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*o - 350, 2*t = -0*t + o + 341. Let s be (-2)\/(-3) - t\/(-12). Solve -s = q + 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {j: 3, v: 2, g: 3, z: 1, r: 2, o: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*o**3 + 3*o**2 + 2940*o + 8661458.\nAnswer: 291*o**2 + 6*o + 2940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23268 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11124 = 71*b + 321*b + 20*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9*j - 62. What is n(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 8*c + 4. Let v be f(-5). Let s = v + -11. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.8 (b) 1 (c) -1\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 502*r**2 - 502*r**2 - 30*r**5 + (-2*r + 1 - 1)*(-2*r**4 + 0 + 0) - 43*r**4 - 69*r**5 + 43*r**4.\nAnswer: -95*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 360?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 2947.\nAnswer: 11\/2947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 2*b. Let a be u(-6). Solve 2*r**2 - 5*r**2 - 24*r + a*r**3 + r**4 + 3 + 9 - 10*r**4 = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 37, -5 in descending order.\nAnswer: 37, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c - 150 + 275 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.1, 2, 0.06, -0.4 in descending order.\nAnswer: 2, 1\/5, 0.06, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**11\/(c**(-5)*c))\/(c**(-2\/3))**(19\/3))**(3\/10) assuming c is positive.\nAnswer: c**(173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92748507 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28408295 and 553.3472?\nAnswer: 28408848.3472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 + 90 - (1 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/7 + ((-17556)\/(-55))\/21.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79 or -189881?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010724677 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.60289 minutes to days.\nAnswer: 0.0643075625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (7 - 6) + (-1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*a**6*z - 34*a**4*z**2 - 8*a**2*z**2 - 3*a**2*z + 9*a**2 - 2*a*z**2 wrt a?\nAnswer: 1560*a**3*z - 816*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/15)\/l*l**(-6\/11))\/(l**(1\/7)*l**13\/l))**(-36) assuming l is positive.\nAnswer: l**(191568\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*k - 4*c - 9, -9 = 2*k + 3*c. Suppose 0*x + 8 = 2*x. Suppose -x = -g - 0. Put -5, k, g in ascending order.\nAnswer: -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 - (100\/12 + -3) and 36\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -5*c + 4*f - 24, 4*c - 84 = 2*f. Let m = c - 31. What is the least common multiple of (-42)\/(-5) - (-4)\/m and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.954948 kilograms to grams.\nAnswer: 7954.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 841 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165402 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -0.4. Let r be (-15)\/36 + 1\/(-4). What is the second biggest value in r, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 + 3*t**2 + 3*t**2)*(0 - 3 + 5)*(-2*t**2 + t**2 - t**2 + (t - 2*t + 0*t)*(t - 2*t + 2*t)) as w*t**4 + f*t**2 + z*t + b + c*t**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13464, -13470, -13486, -13518, -13572?\nAnswer: -13654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 28*g + 1. Let o be p(1). Suppose o = 4*h + 45. Put -50, -2, h in decreasing order.\nAnswer: -2, h, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.36 - -4.16. Let t = -18.7 - -19. Put -1, t, 0.5, r in decreasing order.\nAnswer: 0.5, t, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 22*i + 355. Calculate the least common multiple of 5410 and w(-16).\nAnswer: 16230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66104, 132210, 198316?\nAnswer: 264422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00410864 rounded to 4 dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(1100) + 2 + sqrt(1100))*-1 + 5 + -4 + 0 + sqrt(1100))*6)**2.\nAnswer: 2160*sqrt(11) + 39924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 36*a - 137 - 311 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3 - j - 3 + 7 - 2*j. Suppose -3*t - 5*m - 4 = 0, -3*m + 0 + 6 = 3*t. Let p be (3 - t\/3)*6. What is o(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0 + sqrt(11))*-5 + -1 + sqrt(44) + 5 + -4 + 2*sqrt(11) + 2.\nAnswer: -6*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195748 and 21783956.\nAnswer: 152487692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 9, 2195968, -3 in decreasing order.\nAnswer: 2195968, 9, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 o when three letters picked without replacement from {o: 2, a: 10, h: 1, u: 1, l: 1, x: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 - 2. Let p = 589.2 + -516. Let k = 73 - p. What is the third smallest value in 2\/7, s, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 12:48 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 738839433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 42*k**2 + 51*k**2 - 24*k**2.\nAnswer: 5*k**2*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180 + 22 - 51)*(-2*p**3 + 0*p**3 + 4*p**3).\nAnswer: -418*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.33. Let h = -0.47 + u. Is h greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/120 + p**5\/60 - 5*p**4\/24 + 2*p**3\/3 + 9*p**2. Let r be m(2). Solve 4*d = -2*b - 4 - r, 12 = 3*b - 3*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 838.66 to the nearest integer.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 11. Give h(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 485 = -15*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o**3 + 20*o**2 - 20*o**2.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-404)\/6363*21)\/(6\/99)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1539*f - 127*f + 1016*f - 48*f in the form o*f + i and give o.\nAnswer: 2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjmp when four letters picked without replacement from {m: 4, x: 7, p: 5, j: 1, u: 2, b: 1}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 f, and 2 e when four letters picked without replacement from rfrreeferrferr.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + 4*b)*(-7*b + 4*b**3 + 7*b) + 55*b**2 - 55*b**2 - 13*b**4.\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278594687 divided by -1.\nAnswer: -278594687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.58 - -2.38. Let n(r) be the third derivative of r**4\/24 + r**3\/6 - r**2. Let p be n(-3). What is the closest to -0.1 in b, p, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9327 + -8827. What is the greatest common divisor of a and 640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 56\/(-32)*(-24)\/(-252) - 200210\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 23. Suppose 3*v = -v + t + l, 3*t = -4*v + 26. Let h(c) = -c - 13. Let m be h(-16). Solve m*g - 4 = v*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/27 and 53\/39.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 139 divided by 2283444\nAnswer: 139\/2283444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*u + 0 + 3 - 41*u to a*u + s and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1886 and -6\/23.\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + -3. Let j = -17 - u. What is the second derivative of 99*i**j - 82*i**2 + 2*i - 7*i wrt i?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**3 - 5*i + 5. Let b be (0 - -1)\/(2\/10). Let z(m) = 2*m**3 - 2*m + 2. Give b*z(s) - 2*w(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 + 619*t**3 + 370 - 370.\nAnswer: 625*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5 - 237*v**4 - 19611*v**3 - 632475*v**2 - 5670000*v - 15187500 = 0.\nAnswer: -75, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 105*i**3 + 6432*i**2.\nAnswer: -3*i**2*(i - 67)*(i + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 238046 or 62?\nAnswer: 238046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y - 11*y - 965434*y**3 + 965433*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/((-11)\/(-3)). Suppose 0*d - d = 0. Suppose -p + 3*w - 13 = d, 5 = p + 2*w - 2. What is the nearest to p in l, 2\/3, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*o + 219*o + 225*o + 219*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 4:55 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -47034.8228 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13767 is divided by 189?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 254799 and 9?\nAnswer: 254799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201201 + -112021020?\nAnswer: -110112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 17, -444, -1357, -2872?\nAnswer: -5139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205.32 - -206. Let c = 10.11 + a. Round c to one dp.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 2. Let z = 14 + -19. Let q be z - (2 + -2)*(-3 - -2). Determine n(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n**2 + 20*n + 9. Let g(w) = -8*w**2 + 20*w + 8. Calculate -7*g(f) + 6*q(f).\nAnswer: 2*f**2 - 20*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -350 - -1037\/3. Let m be 79827\/199530 + (-16)\/40. Let a = -188449\/53208 + m. Find the common denominator of w and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.93 + 0.07. Suppose f - 375 = 6*f. Let x be 20\/f*(-6)\/(-4). Which is the third biggest value? (a) q (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2867 or -0.136168?\nAnswer: -0.136168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m + 0*m + 14*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(72)*1)\/sqrt(6)*4)\/(-4*(sqrt(486) + 2*sqrt(486) - sqrt(486))*1).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*r*y + 3*c**3*r*z + 3*c**3*y**2 - 66*c**2*r**3*y**2 - 5*c**2*y*z - 4*c*r**2*y + 2*r**3*z - y**2*z wrt y.\nAnswer: 6*c**3 - 132*c**2*r**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46.36 - -46.36. Which is the closest to -26? (a) l (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from lfflllllflffff.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130618129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2035221 minutes?\nAnswer: 12211326000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*d - 2625 = -49*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226861 is divided by 14177?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1782*b - 826855. Calculate v(-464).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.037821 - -0.0378162522. What is p rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, 6, 33, 58?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - 194*(-45 + -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 7*l**6\/180 + l**5\/120 + l**4\/24 + l**3\/2 + l**2. Let j(m) be the first derivative of p(m). Is j(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*(k**(-4\/7)\/k)\/k*k)\/(k**(-5\/8)\/k))**(-1\/40))**(-32))**(-49) assuming k is positive.\nAnswer: k**(-161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 263*d**5\/60 + d**4\/24 + d**3\/6 - 2*d**2. Let a(b) = -b**3 + 13*b**2 - 10*b - 25. Let u be a(12). Is w(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(-2 - 14\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/3 - 62*t**4\/3 - 506*t**3\/3 - 110*t**2 + 300*t = 0?\nAnswer: -15, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(50) + sqrt(2) + -5*(-3 + (sqrt(24)\/sqrt(12))**2).\nAnswer: 5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1248.996492 - -1249. Round i to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2874358009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from oizzzooozo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*a + 2608 - 6496 = 0 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236701137?\nAnswer: 7, 176671591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(sqrt(3500)*-6)\/(4*(-4*sqrt(7) - sqrt(7))).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1343*s**3 + 229*s - 27*s - s**2 + 633*s**3 + 709*s**3.\nAnswer: -s**3 - s**2 + 202*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -7*t**5\/60 - t**4\/24 + 115*t**3\/6 - 7*t**2 - 12*t. Find the second derivative of a(v) wrt v.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 671 + -214. Let a = n + 280. What are the prime factors of a?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*(173 - 123265\/712).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k - 1. Let q(v) = -9*v - 2. Calculate 4*q(p) - 5*x(p).\nAnswer: 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:50 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2391*n + 2383*n - 7147*n + 2383*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 4)\/(62\/(-16) + 4). Solve l + 12 = 4*p, -y*l - 12 = -4*p - 3*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5, -16*m = -5*b - 12*m + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 75. Let c be h\/12*(-6)\/5. Suppose -4*s + 5*s - 13 = -m, -2*m = -c*s + 34. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25128563 is divided by 3174.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 256, 256, 254, 250, 244?\n\"Answer: -g**2 + 3*g + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*a + 1 = 75*a + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321209631 a multiple of 829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/(-1)*(340\/(-17))\/(-40)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyu. Give prob of sequence ug.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**5\/7 - i**4 + 43*i**3\/7 + 115*i**2\/7 - 150*i\/7 = 0.\nAnswer: -10, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 11*c**2 + 20*c + 30. What is the least common multiple of b(-9) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afaajjssapassfafafa. What is prob of picking 1 f and 1 s?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4119275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 - l**3 - l**3 + (0 - 1 + 0)*(88*l**3 - 35*l**3 - 410*l**3) as z + f*l**3 + h*l + j*l**2 and give f.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -12*n**2 + 6*n - 6. Let m = 0 - -5. Let a(y) = 11*y**2 - 5*y + 5. Calculate m*h(u) + 6*a(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.44476 and 0.13.\nAnswer: 2.57476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*z - 31*z - 22*z + 2*z**3 wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3*l + 5*v = 185, 2*l - 4*v + 100 = 0. Let j be 105599944\/l + 42\/(-30). Round j to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2353*m**2 - 6991*m**2 + 2027*m**2 + 1375*m**2 - m.\nAnswer: -1236*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37142922 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is -6*14\/(-21)*(-2 - -14) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 11*u**3\/6 - 32*u - 107. Let d(z) be the first derivative of o(z). Let b(i) = -2*i. Give d(b(l)).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m + n - 14, 2*m = -3*n. Let q = 9 + m. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 7. Let x = o - -6. Sort x, -2\/17, -5.\nAnswer: -5, -2\/17, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4332 (base 15) in base 7?\nAnswer: -56315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1079 - -2177. What are the prime factors of k?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -237 + -161. Let w = -445.9 - r. Round w to 0 dps.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7e - -2?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*l - 183 - 273, 3*u + 342 = l. Let m be -3 - 4*35\/(-4)*(-20)\/7. Let p = m - u. Calculate the smallest common multiple of p and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*n + 20, 4*n + 22 + 23 = 5*f. What is the remainder when 4\/18 - 115\/(-9) is divided by 4\/n - 464\/(-80)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avdijrd. What is prob of picking 1 v and 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3084 in 45, 1\/2, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5\/7 - 40*v**4 - 4413*v**3\/7 + 15185*v**2\/7 - 11734*v\/7 + 2640\/7 = 0. What is v?\nAnswer: -40, -33, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014499 rounded to 7 dps?\nAnswer: -0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + b - 5*b = -25, 0 = -2*l - 5*b + 27 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1359\/63 - ((-3144)\/672 - 156\/(-48))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -56*q - 3132. Let p be i(-56). Factor -3\/5*k**p + 0 + 6\/5*k - 3*k**2 + 12\/5*k**3.\nAnswer: -3*k*(k - 2)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q**3 - 3*q**2 - 2*q - 1. Determine r(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*o**2 + 259*o**2 - 150*o**2 + 3 - 3.\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -44344\nAnswer: -75\/44344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34690639.\nAnswer: 61, 568699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1 - 128*l**3 - 11*l + 127*l**3 + l**2 + 7*l**2. What is g(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.58111t in grams?\nAnswer: 89581110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197480 is divided by 544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -ec6c8 (base 16) to base 14\nAnswer: -1b2cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 3232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.922 + 0.042. Let c = -14 - -14.24. Let p = k + c. What is p rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a day in hours?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 223690 and 500.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-48)\/9)\/(4\/(-30)). Is 49 a factor of 598*(-4)\/m*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/11*-1)\/((-16398)\/16398)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(420\/(-7)))\/(0 + (-6)\/(-45))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 10*t - 5*t - 79 = 0, -g = -5*t - 59. Let z(l) = 69 + 10*l - 3*l - g. Determine z(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -0.113 in descending order.\nAnswer: 3, -0.113, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1934 and 157621.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 47, 55, 65, 77, 91, 107?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/7 + 27*r**3\/7 + 26*r**2\/7.\nAnswer: r**2*(r + 1)*(r + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8466*h + 62. What is the tens digit of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38, -168, -384, -686, -1074?\n\"Answer: -43*f**2 - f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 95865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j = 550. Let u = -5933 - -5943. What is the smallest common multiple of j and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4 = 2*a. Solve -5*t - 3 = -a*q + 1, -4*q - 2*t = 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 12:50 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -7*z**4\/24 - z**3\/2 + 36*z**2 + 1. Let k be 2\/(-8) - (-17)\/4. Let f(g) = -6*g - 3. Determine k*u(a) - 5*f(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9074*v**2 - 4534*v**2 - 6883 - 4537*v**2.\nAnswer: 3*v**2 - 6883","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.0635?\nAnswer: -3.9365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 47 - 29 = 0, 24350 = q - 4*w. List the prime factors of q.\nAnswer: 2, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1634 + 1688. Solve -34 + m = 10*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 3*o + 16, 3*v - 5*o - 20 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1)*z*z)**(-25) assuming z is positive.\nAnswer: z**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - (0 + (5 - 2)) - -26?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*2 - sqrt(1100)) + 2.\nAnswer: 2 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201219 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcobrrwbbbwb. Give prob of sequence rw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 193*t + 18 = -198*t, 2*v = -4*t - 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71532189.\nAnswer: 3, 73, 108877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 115 - 8 = -2*c, -3 = 3*v. Let j = c + 34. Which is smaller: j or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 2\/11, 2, -7, -48.01?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 2*o + 5. Suppose -4*i - 25 = 5*s - 0*s, -4*i - 28 = 4*s. Let c be i + 1 + 8\/2. What are the prime factors of n(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 69*i - 3234. What is y(47)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3\/3 + 224*i**2 + 14096*i\/3 - 113344 = 0.\nAnswer: -138, -44, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) - (-18420)\/(-50). Let b be (-3)\/5 + w\/20. Do b and -19 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v + 3 = 21*v. Let d be -2*(v + 0) - (-48)\/(-26). Let t be -2*8\/(-20)*(-2)\/(-4). What is the closest to -0.2 in d, -1, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 0*s + 2*s + 89, 208 = -5*s + 188 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2842876 and 1318860.\nAnswer: 127929420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1177 = -10*t + 173. Suppose 0 = 4*v + 3*o - 114, 88 = 3*v + 4*o - 1. What is the greatest common factor of v and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5396 and 1136?\nAnswer: 21584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -157152 at most -157152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159236911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220867 is divided by 218473?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 20 in ascending order.\nAnswer: -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 3, i: 1, p: 2, w: 4, g: 7}. What is prob of picking 1 a, 1 y, and 1 w?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10377*j**2. Let q(w) = -10*w**2. Calculate o(q(p)).\nAnswer: 1037700*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.88 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d + 3*n + 17, -3*d = n - 3. Suppose -f - 1 - 2 = -p, -4*f - d*p + 6 = 0. Solve -t - 4*t + 5 = f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 942, 0.52, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31798017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1080949 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 516696787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*t - 874, 15*j = 17*j + 3*t - 846. What are the prime factors of j?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -365 + 247. Let t = -10 - -7. Is (y\/6)\/(t\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 23 - 10)*(-8701*k**4 + 3*k**5 - k**5 + 9*k**2 + 8708*k**4).\nAnswer: -66*k**5 - 231*k**4 - 297*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 + 14*i**2 + 4*i**2)*(-i + 2*i + i) - 4*i**3 + 0*i**3 + i**3 to t*i**3 + k*i**2 + r*i + a and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 11*y**3 - 3. Let j(l) = -384*l**3 + 104. Calculate 208*a(f) + 6*j(f).\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 1108832769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - -1)\/(1 + 109340\/(-109347))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190006056564 take away 0.11?\nAnswer: -190006056564.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**5 + 8*i**2 - 3*i. Let b(f) = -10*f**5 + 57*f**4 - 16*f**2 - 57*f**4 + 7*f. Let v(h) = -3*b(h) - 7*q(h). Find the third derivative of v(y) wrt y.\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1185 + -8291\/7. What is the fourth smallest value in -2\/47, -2\/13, o, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -73*g. Let k(a) = -3*a - 82331. Calculate l(k(n)).\nAnswer: 219*n + 6010163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19448 is divided by 203.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230\/343 or 1?\nAnswer: 230\/343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 10*f**2 + 39*f + 230. Calculate t(-5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, -112, 5, 0.8 in decreasing order.\nAnswer: 5, 1, 0.8, 0.2, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*k = -8, -h + 4*k = -6 - 13. Let b(v) = -v**2 + 9*v + 1. Let a be b(9). Let t be (-4)\/8 + a\/4. Put h, -2\/11, t in increasing order.\nAnswer: t, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1158*o**2 - 5*o. Let c(i) = -268077*i**2 - 1158*i. Determine -5*c(z) + 1158*t(z).\nAnswer: -579*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 87 + -8?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-1)*((-6)\/1)\/6. Suppose 2*i - 4*i = -4*j - 21102, -5*j - 26383 = z*i. Let o be (4 - j\/6)\/(1\/6000). What is o rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 82.524382\nAnswer: -16.5048764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10516 + -10501. Solve t*p + 55 = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510826 < 1510825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 807, -4017, -14467, -30543, -52245?\nAnswer: -79573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-10)\/(-4)) - -197. Suppose -4*z = -2*k - k - 758, 2*k = -z + x. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*x = -4, 2*o + 3*o - 8 = -3*x. Which is the nearest to -1? (a) -2 (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 30*a - 29*a + 11 - a**4 + 3*a**4 in the form d*a**2 + w + f*a**4 + h*a**3 + u*a and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2822 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14269139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -484.\nAnswer: 14036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 2*d - 3*t, -2*d + 20 = 5*t. Suppose 5 = d*z, 7 = 2*q - z + 2. Solve -4*w + 6 = 2*h, 5*h + 3 = q*h + 5*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a + 5*g - 237, -5*a = g - 312. Suppose 4*w = -3 + a. Calculate the remainder when w is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 - 6 - 3 + 20.\nAnswer: -8*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k**2 + 3*k**2 - k**3 + 2*k**3 + 3 - k. Let w be x(6). Let v be (128\/(-224))\/(-2 + (-32)\/(-14)). Put w, v, -7 in descending order.\nAnswer: v, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 0.00031757898.\nAnswer: -19.00031757898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 1525\/3 + -985\/2. Calculate the common denominator of 87\/50 and z.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -275 - -277. Suppose 2*g - 963 = j, 0 = -2*g + 6*g + z*j - 1922. List the prime factors of g.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-26)\/65 + 1804\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-95))\/((-32080)\/(-60952))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 27509*y - 27511*y + 3 - 3. Let o(u) = -u - 50. Calculate o(z(h)).\nAnswer: 2*h - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -10629, 2.\nAnswer: -10629, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4502*r**2 - 230*r + 439. List the prime factors of m(2).\nAnswer: 17987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*j + 3850*h - 104*j - 52 with respect to h.\nAnswer: 2*j + 3850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + d + 1. Let q be t(2). Let j be ((-2)\/88)\/(44\/(-352)). Sort j, q, -5 in ascending order.\nAnswer: -5, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -298 divided by -4\nAnswer: 149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -5)*((-3)\/2)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7818*f**2\/5 - 128216*f + 328\/5.\nAnswer: 2*(f - 82)*(3909*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 14718?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z - 0. Let s(t) = -t + 3. Let b be s(z). Suppose 18*i + 28*i + 368 = 0. Is b >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -906635 divided by -8?\nAnswer: 906635\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + n = -2, -5*n + 26 = -5*r + 3*r. Let y be (r\/6)\/(-1 - 23540\/(-23536)). Let u = -609 - y. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*t - 103, 160 = -295*t + 299*t - u. Calculate the remainder when t is divided by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:43 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 2, o: 4, g: 2, e: 1}. What is prob of sequence gfo?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 141527772881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 - 4*z**2 + 5*z**2)*(-18 - 1 - 1)*(-18 + 7 - 27).\nAnswer: -1520*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 18. Let f = -66 - -26. Let y = j - f. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 11:04 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -20 + 38 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 28716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 12*c + 99 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 17\/(-2))*(-3)\/(-9).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 1. Let t be s(-1). Solve -t*m + 0*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**6\/210 - 23*x**5\/420 - x**4\/12 + 5*x**3\/42 + 139*x**2. Determine h, given that q(h) = 0.\nAnswer: -5, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2. Let h(o) be the third derivative of -o**6\/240 + o**4\/12 - o**2. Let c(x) be the second derivative of h(x). Give f(c(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -111710000 to the nearest 1000000.\nAnswer: -112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-215)\/(-45) + 4\/18. Suppose -14049999 = -z*n - d, 6*n - 5620002 = 4*n + 2*d. What is n rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-30))\/(2\/5). Suppose 3*y - 6 = -0*a - a, -5*y + h*a + 24 = 0. Solve -y*k = -k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(3 - 3 + 2*a**4) - 6 + 4*a**4 + 6 + (-a - a**3 + a)*(-2*a - 2 + 2) + 3*a**2 - 3*a**2 + a**4.\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4424343697 + 4424345518.000853. Let s = n - 1821. Round s to 5 decimal places.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1258 and 2040.\nAnswer: 75480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.42*-31953.\nAnswer: -13420.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 11*t**2 - 5*t + 15. Let i be w(6). Solve -18*g - i = -u - 23*g, 3*g - 13 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2 - 99*r + 50. Let f be t(-17). Let h(d) = d - 1. Let z(k) = 9*k. What is f*z(g) + 5*h(g)?\nAnswer: -4*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146 + 222. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3) + (-12)\/(-9). Solve l = -r, -3 = 3*k - 3*r + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(11) + 1)*-5)**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l - 7 + 5*l + 9. Let c = 69 - 73. What is v(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26120709 + 9532664. Let v = 7896983 - d. Suppose 3*f + 3*u + 1914975 + v = 0, 0 = f - 2*u + 8799998. Round f to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + i)*((-2 + 0 + 0)*(i + 3*i - 2*i) + 5*i + 3*i - i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028917 rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 242. Let f = a - -128.5. What is f rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 + 3. Let v be h(-3). Suppose v*m = -3*k - 15, 4*k - 5 = 6*k + m. Let -2*p**3 + 4*p + k*p**2 + 0*p + 2*p**2 = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h + 0*h - 4*h)*(h - 1 + 1)*(-4*h**2 - 3*h**2 + 17*h**2) as d*h + k*h**4 + u*h**3 + v + x*h**2 and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.4 (b) 2 (c) -0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/15*(12\/(-4) - -6). Let s = -133 - -199. Calculate the remainder when s is divided by (-3)\/((a + 8)\/(68\/6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3 + 5. Let j be r\/9 - (-16)\/9. Suppose 14 = y - 4*s, 5*y - 40 = 3*s + j*s. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/(-16) - (-77327)\/(-4377).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 5*u - 2. Let m(o) = o - 1. Suppose -4*y - 3*l + 4*l + 4 = 0, -4*y = -4*l + 8. Give y*m(h) - q(h).\nAnswer: -h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-28 - -86) - (-20 - -16 - (-1 + -6)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104766 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -906, -1667, -2628, -3783, -5126, -6651, -8352?\nAnswer: -10223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/41)*(h**(2\/49)*h)\/h)\/(h*h*h*h\/(h*h**(2\/7)*h)*h*h*h*h*h)**(-22))**32 assuming h is positive.\nAnswer: h**(9495744\/2009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 957, 958, 961, 966?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 25134 = -7*m + 27714. List the prime factors of m.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 27*h**2 + h + 14. Let q(n) = 109*n**2 + 5*n + 56. Let v(k) = -2*q(k) + 9*t(k). Let i be v(3). Let x = i - -146. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 16 = 2*w, -w + 3*w + 8 = 4*r. Let b(z) be the second derivative of 3*z - 1\/80*z**5 + 0*z**w + 1\/24*z**3 + 0*z**2 + 0. Solve b(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*r + 823178 = -509007. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10514 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/15 - 41*b**4\/24 - 89*b**3\/3 + 177*b**2. What is the tens digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-18)*-2)\/((-26)\/234).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 313 + -312.8. Let z = -328\/13 - -5920\/247. Let n = z - -446\/323. Sort g, n, 4 in descending order.\nAnswer: 4, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q - 2*q + q)*(-6 + 4 + 3) + 2 - q - 2)*(9 + 1 - 4).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -12*q - 19. Calculate b(7).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -962772321\/1186 - -811781. Calculate the common denominator of n and -119\/10.\nAnswer: 5930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*z, 3*z + t + 65 - 64 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 57. Let a = 29 + s. Solve 6 + 4 = a*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*m**5 + 7645*m**4 + 11215*m + 22.\nAnswer: -1020*m**3 + 91740*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110189470 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + 3. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - (2 + -2) - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -3, 2, -7, -83, 0, -5 in increasing order.\nAnswer: -83, -28, -7, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 26240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**6*a)**(-32)\/(a\/(a\/a**10)*a**(-2\/59)\/a) assuming a is positive.\nAnswer: a**(-15633\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*a = -68, -17*a + 19*a = 8. Solve 17*i = 20*i - j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((4\/26)\/(-1))\/(-2). Which is the second biggest value? (a) k (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10044231 - -1?\nAnswer: -10044230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.71 + 24.8182. Is h at most as big as -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*x + 18, 6 = f + 2. Is 34\/963 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 13772253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t = 55*t + 3*u + 127, -3*u = -5*t + 313. Let l = t + -431\/7. Let d = 9 + -5. Put d, l, 0.2 in descending order.\nAnswer: d, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6148.594 milligrams to grams.\nAnswer: 6.148594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1776 times -8\nAnswer: -14208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5123*z + 75187 - 175534 - 115965 - 57063 + 13102*z + 3*z**3 - 405*z**2 = 0.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/1)\/15)\/((-18)\/(-20))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14354639*v + 7556563?\nAnswer: -14354639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -347673 - -0.58106.\nAnswer: -347672.41894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 282*m - 50. Let x(d) = 142*d - 27. Let q(o) = -3*p(o) + 5*x(o). What is the first derivative of q(j) wrt j?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 43*q + 38*q - 760, q = 5*v - 1946. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -58. Suppose -4*b = -6*l + 9*l - 445, 0 = -5*b + 5. Calculate the greatest common factor of l and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 103*g + 566. What is t(-6)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.295 + 4.737. Let p = -18 + o. Let k = -0.668 - p. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1148\/246 - (-2)\/6*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219193001 to the power of 1\/3, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/2 of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 437, 916, 1393, 1868, 2341, 2812, 3281?\n\"Answer: -t**2 + 482*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000563566352 rounded to 7 dps?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 240 - 35. Let w = 331 - d. Do 0.2 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.126554 to 1 dp.\nAnswer: -24.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173668 divided by 4.\nAnswer: -43417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -73, -113, -155, -199, -245?\n\"Answer: -x**2 - 35*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaayadyyyayyy.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-14)*(-35)\/(-10) + -1. Let q be 80\/(-2)*v*(-18)\/8. Let y = q - -96. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-1 + 13\/(-26))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04344 - -0.54344. Which is the fourth smallest value? (a) -4 (b) r (c) 1 (d) 186 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.42, 1\/10, 4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:08 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28504864 by 750128.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 38372.28\nAnswer: 767.4456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 13. What is the highest common factor of u and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -30, -53, -126, -273, -518?\n\"Answer: -4*l**3 + 11*l**2 - 2*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -337\/9 (b) 2\/17 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -4 - (0 + -1 + 1 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059910 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/168 and -131\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 + 2. Let s = -12 - -24. Suppose -11*w = -7*w + 64. Let j = s + w. Let i(x) = -16*x**2 + 11. Calculate j*i(l) + 22*o(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176949 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30563 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 14. Let f be v(-8). Let w = f + -3. Suppose j + 16 = -w*j. Which is the nearest to 6? (a) 3 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*m + 381*m + 1386 = 185*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2 - 75692130*w - 1432324635984225 = 0.\nAnswer: -37846065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14960947.000792 - 14961056. Let j = d + 109. Round j to 5 decimal places.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**2\/3 + 399*u + 88478\/3 = 0.\nAnswer: -166, -533\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 6630282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 6*x - 7. Let y be 0 + 8 + 19 + -26. What is t(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (-1 + sqrt(1584))) + (-1 + sqrt(1331))**2 + sqrt(1331).\nAnswer: -11*sqrt(11) + 1333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = b + 38. What is the units digit of b + ((-377)\/(-5) - (-2)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*z + 4, -z + 14 = 3*o + 3*z. Find the second derivative of 28*u**o - 12*u + 9*u**2 + 2*u**2 - 2*u - 2 wrt u.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -910 + 340. Let y = -87 - i. Suppose 0*r + y = r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27118 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -546 - 4?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 3:31 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/(2\/18). Let g be 39\/91 + 3\/(-7). Suppose -5*u = -2*a + 305 + 42, 2*u - 10 = g. Calculate the greatest common factor of n and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 3) + 0 + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4429 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 14*o**2 - 32*o + 24.\nAnswer: -2*(o - 3)*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 419 + -89. What is the least common multiple of (3\/(18\/(-20)))\/((-11)\/t) and 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -y + 48473, 300*l = -5*y + 297*l + 242389. List the prime factors of y.\nAnswer: 2, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 159. What is the highest common divisor of 27 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 3627*p + 21808. Give o(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-40)*4)\/((-45)\/(-1800))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20258? (a) 3\/4 (b) -52 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 333050313?\nAnswer: 333050315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -12*a + 163 + 184. What is the remainder when 2183 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 34. Let m(n) = 1. Determine -f(j) - 2*m(j).\nAnswer: j + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, q: 4, c: 2, l: 4}. Give prob of sequence cqqq.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2 - 13304260*o - 26608512 = 0.\nAnswer: -6652128, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 4*b**2 - 4*b + 7. Let a be i(-5). Solve 0 = a*x + x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4507 is divided by 250.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*g**2*r**3 - g**2*r - 20*g**2 + 541*g*r**3 - 2*g*r + 15740*g + 100*r**2 wrt r?\nAnswer: 408*g**2*r + 3246*g*r + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 389162 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31166 is divided by 10385.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -492, -488, -474, -444, -392, -312, -198, -44?\n\"Answer: x**3 - x**2 - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 221130.9 rounded to the nearest one thousand?\nAnswer: 221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -13. Let b be (-1 - f) + 35 + -6. Let t be (-3)\/2*(-2 + (-6)\/9). Solve -4*i + 0*i - 2*y - 6 = 0, t*y = 3*i + b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-13) - ((-7656)\/78 - -9). Solve -3 = c*a - 90*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1525*w**5 - 2*w**2 + 136 wrt w.\nAnswer: 91500*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4765, -6013, -7261?\n\"Answer: -1248*w - 3517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12196*f - 24390. What is v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -97245\/2 (b) 3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.909273 months to years.\nAnswer: 2.07577275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 2*y**2 - 7*y**2 + 3*y**2 + 43.\nAnswer: -6*y**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1047816 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:26 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4181592, 4181594, 4181598, 4181604, 4181612, 4181622?\nAnswer: 4181634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2047 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013441477 to the power of 1\/2, to the nearest integer?\nAnswer: 31835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 5*h**2\/2 - 46*h + 1163. Give g(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -19*l**2 - 1 + 28 + 35*l**2 - 11*l**2 - 10*l**2 + 42*l = 0.\nAnswer: -3\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(3)*-1) - (sqrt(288) + sqrt(18))*-5)\/(sqrt(81)*-2*4*1).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -2\/2954556871, 4\/3?\nAnswer: -2\/2954556871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 - 3*f**2 - f + 1. Let a be p(-2). Suppose 3*s - a*s = 0. Solve s*i = -2*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, 4, 1083, 0.04, 10.\nAnswer: 0.04, 4, 10, 306, 1083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 23. Let q be f(-13). Let u(a) be the third derivative of 135*a**5 + 5*a**2. Let l be u(q). What is l rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 18*b**2 - 5*b - 1. Let z = 29 + -32. Does 15 divide j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*(-285)\/43700)\/(28\/(-8))?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012010 - -2102?\nAnswer: -11002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -110 (b) -0.105 (c) 3\/8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28830 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -7. Calculate the remainder when f is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - q - 538 = 0, -2501 = -3*g + q - 883. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3576653128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/(3471\/156)*(-1)\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -311281.21 minus -0.3?\nAnswer: -311280.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/27 and -37\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y + 7. Let o(k) = -30*k - 7. Let x(s) = -3*s + 3. Let q(n) = -o(n) + 2*x(n). Calculate -11*c(t) + 6*q(t).\nAnswer: 12*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 36. Let f be a(-8). Let i be (-24)\/((-1)\/((-12505000)\/f)). Round i to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*s - 3*u, 0 = 2*s + 49*u - 53*u + 24. Let l(g) = 10*g**2 - g - 25. Is l(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10907 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 6:28 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3)\/(6\/(648\/30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 886217923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 + 5*y**2 - 6*y**2)*(0*y + 2*y - 5*y).\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -40939?\nAnswer: 8\/40939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7056974 * 0.02.\nAnswer: -0.014113948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-76)\/(-16) - 2\/(-8). Let y be (3 - (-333)\/27)*(-6)\/2. Let f = -26 - y. Solve s + f = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*r**2 + 26*r + 227?\nAnswer: 10*r + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5031\/4 + -1258. Let i = 0.29 - -30.31. Let z = 31 - i. Which is the biggest value? (a) z (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 211580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s - 4. Let b be m(6). Let h = 13 + b. Let w(l) = 1889*l + 1. Let f be w(h). Round f to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o + 765. Suppose -324*k = -233*k - 13741. Are k and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5077.141 and -626.5317.\nAnswer: -5703.6727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002867 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981141788 to the power of 1\/2, to the nearest integer?\nAnswer: 54600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -23. Let r(t) = 2*t + 2. Let c(y) = -9*y + 3 + 3*y - 10. Suppose -4*n - 14 = -2*n. Calculate d*c(i) + n*r(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 3*z. Let q(c) = -c - 3*c**z + c. Let j(k) be the third derivative of k**4\/24 - 27*k**2. Determine q(j(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/270 and 149\/360.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2592 and 371744?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)*c)**(-27)*(c**3)**47)**(-30) assuming c is positive.\nAnswer: c**(-6435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -2\/21, 482, 0, 41, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4122 (base 8) in base 16?\nAnswer: -852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.34*-43\nAnswer: -14.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 72*i**2 - 10*i + 182. Is g(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1864c - 1?\nAnswer: -18650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 15 + 3. Suppose -14 = -2*r + 5*t, 2*t - t = -a*r + 4. Solve 0*c = c + 4*q + 9, r*c + 13 = -3*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z - z + 3*z + 1 - z**2 + 2. Let j be v(-4). Solve 0 = -5*h + w - 29, -5*h + j*w + 2*w = 45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**2 - 12*n + 19. Let b(x) = 3*x**2 + 6*x - 10. Let r(o) = -7*b(o) - 4*u(o). Let p be r(4). Find f, given that -f**p + 2 - f - 3*f + 5*f + 0 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - p = 74, 894*n - 70 = -888*n - 896*n + 2679*n + 3*p for n.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39950 divided by 470.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 77*r + 589 = 74*r, 0 = 3*m - 5*r - 347. Calculate the remainder when m is divided by 28 - ((-2 - -2) + -2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.03 + -0.03. Let k = 259\/33 + -23\/3. What is the biggest value in q, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, -1, -5, -2, -4.\nAnswer: -9, -5, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 12:31 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = w - 10*l + 8*l, 0 = 2*w + 2*l - 456. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 44 - 50 + 2*v**2 + 139.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165491984?\nAnswer: 2, 7, 1477607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/6 - 31\/6. Which is the closest to 0? (a) -8 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.1136 years in millennia?\nAnswer: 0.1351136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2 + 299*b - 59. What is a(62)?\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 321941376 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -772*d - 169. Is q(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 37181560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 17 = 103. Is (-4482)\/n + (-4)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 25470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 10*r - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1112 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1964438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-36 + 15 + 6 - -8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.56 + 7.76. Round h to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 885133, 1770251, 2655357, 3540451, 4425533, 5310603, 6195661?\n\"Answer: -6*b**2 + 885136*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3629 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64682?\nAnswer: 2, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -3*d - 630. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -405, -407, -411, -417, -425, -435, -447?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceccccccucjucjeuceu. What is prob of picking 1 j, 2 u, and 1 c?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**6\/540 - t**5\/90 - 5*t**3\/6 + 4*t. Let f(k) be the second derivative of h(k). What is s in f(s) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x - 9859 = -9731. Sort x, -1, 4, -783 in decreasing order.\nAnswer: 4, -1, x, -783","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.33 greater than 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5.2. Let c = 0.9 - i. Let m = 7 - 4. What is the closest to c in -4, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28061, -1, -2\/3, 4\/3 in decreasing order.\nAnswer: 4\/3, -2\/3, -1, -28061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 - (-1738)\/33 - 1\/(-3) is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20.0804 and -75?\nAnswer: 54.9196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 2, n: 4, d: 1, o: 3}. What is prob of picking 1 d, 1 o, and 1 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**3\/7 + 284*r**2\/7 - 1336*r\/7 + 1056\/7 = 0.\nAnswer: 1, 4, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6409167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 4, m: 4, n: 1}. What is prob of picking 2 b and 1 m?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1299 = -149*h - 147*h - 6989 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/1082 or 0.1?\nAnswer: -15\/1082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.3. Let i = 0.2 - r. Let u = -1.5 - -2. Which is the nearest to 1? (a) 4 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 53*i - 2. Let l(s) = -4*s**2 - 82*s - 219. What is the remainder when p(2) is divided by l(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u - 53 - 69 + 14 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 - 265 = -x - 22*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*(r**6\/r)\/r*(r*r**(2\/11))\/r**(-2\/11))\/((r**(-2\/3))**(9\/11))**(-1\/34) assuming r is positive.\nAnswer: r**(813\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -946512 > -946512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-33)*(-330)\/210*21\/102?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 + 2*h - 1. Let w(d) = -d**2 - d - 1. Let l(x) = 17*x**2 + 13*x - 1. Let y(m) = l(m) + 4*w(m). Let a = -48 + 50. Determine a*y(u) - 9*z(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*l - 10575 + 49686 + 41785 = 53*l for l.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -55 - (-22 + (-16 - (18 + 1 + -36)))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)*1)\/sqrt(3))**2 + 3 + sqrt(1053) + 4 + sqrt(1573) + 0 + 0.\nAnswer: 20 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/55)\/(-51 + 14168\/280)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1956415 or -3\/19?\nAnswer: 1956415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.203 - 3.703. Which is the nearest to -1\/4? (a) -0.2 (b) u (c) 2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2 + 6. Let j(x) = -27*x - 138. Let b be j(-5). Sort u, -18, b in increasing order.\nAnswer: -18, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 83\/62, -14, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 25*l - 10. Let d(f) = f**3 + 3*f**2 - 2*f - 4. Let o be d(-4). Is a(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/6)*n)\/n*n*(n\/n**(-1\/7))\/n*n)\/(n**(-1\/3)\/(n\/n**3)) assuming n is positive.\nAnswer: n**(13\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0408 - -376.9592. Let p = -376.99999545 + w. What is p rounded to 7 decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-126) - (-22)\/6. Suppose 0 = -2*w + 3*z - 1 - 8, 5*w - 15 = -5*z. Solve w = d - 3*d - p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 25*z - 46. Let r be p(22). Find the third derivative of 787 + r*j**2 - 787 + 26*j**3 wrt j.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Convert 9724.313 centuries to millennia.\nAnswer: 972.4313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-3))\/(3\/18). Let w = -13 + b. Factor -8*a**2 + w*a - 2*a - 5*a - 4*a**3.\nAnswer: -4*a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 16093?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 3*j - 24, -l - 22 = -6*j + j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1250)*4)\/sqrt(10))**2 - -1*(-4 + sqrt(45)).\nAnswer: 3*sqrt(5) + 1996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1539*n**3 - 2*n**2 - 3*n + 4. Let j = 939 + -937. Is k(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*z - 55 + 14, 21 = -z - 2*r. What is the units digit of z\/((-76)\/24) - -1210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o + 10. Suppose 30 - 6 = 2*w. Let x be l(w). What are the prime factors of 4*x\/16*2?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.9999927 - -14. Round n to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296) - -2*sqrt(1296))\/(sqrt(32)\/sqrt(64)))**2.\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33015 divided by 11005?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67383 rounded to two dps?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5, -5*u + 230 = h - 6*h. Suppose -b + u = 14*b. Which is greater: b or -0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -614 + 616. Suppose -2*b + 209 = 5*g, 4*b - g - 463 = -l*g. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13665 + 13670. Sort -0.2, u, -24\/853 in decreasing order.\nAnswer: u, -24\/853, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 + v**2 + v. Let k be i(-1). Let g = 0 + k. Suppose g*m = 5*m - 24. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626*f - 268416 - 83744 = 618*f. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 530, 526, 524, 524, 526, 530?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10556 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + (-30)\/5)*1\/2. Suppose -n + 12 = -2*l, -l - 3*l - 4 = 3*n. What is the second derivative of 5*h + j*h - n*h - 10*h**3 wrt h?\nAnswer: -60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 + 260\/8 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9 + (-20)\/(-6). Suppose -9 = x*f + 6. Let l(p) = p**3 + 5*p**2 - 3*p + 4. Is l(f) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-96)*(1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/13482 and 151\/12?\nAnswer: 26964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 3*l - 2*l)*(26 - 58 - 22 - 43 - 21) to a + d*l and give d.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18 + 8*j**3 + 3071*j - 3071*j wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.9 and -37.5?\nAnswer: 45.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0239 + 84951.\nAnswer: 84951.0239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1091*u**4 - 2*u + 262 wrt u?\nAnswer: 13092*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*j + 4*j - 6*j)*(-2*j - 3*j + 4*j) + (-2*j - 2*j + j)*(-4*j + 0*j + 2*j))*(j + 0*j - 2*j)*(26 - 2 - 4)*(6*j + 0*j - 3*j).\nAnswer: -180*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/20 and (-17)\/(-459)*(-303)\/(-16)*3.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -549*t - 160 - 169 + 1383*t + 329 to p*t + x and give p.\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 4. Let i = 7.4 - -0.6. Let l = h - i. Which is smaller: l or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -225, -492, -863, -1338, -1917?\nAnswer: -2600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 + 93.99. Let k = -3.003 + -0.007. Let j = k - s. Is -2\/3 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 21*b - 3. Let m(z) = 2*z**2 - 37*z + 4. Calculate -3*m(i) - 5*n(i).\nAnswer: -i**2 + 6*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 531 = 5*o, -5*v + 217 = 2*o - 8. Suppose 3*f + j - 6*j - o = 0, -75 = -3*f - 5*j. Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67214, 67704, 68528, 69692, 71202, 73064, 75284, 77868?\n\"Answer: z**3 + 161*z**2 + 67052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8116 is divided by 4050.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 3253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.5 + -37.1. Let k = -0.11 + -3.89. Sort -3, k, q in decreasing order.\nAnswer: q, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -41*r**4\/24 + 113*r**2. Let i(w) = 6*w. Calculate k(i(f)).\nAnswer: -246*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43445.82 millimeters?\nAnswer: 4344.582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.066 + -0.366. What is t rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 898.5 - 898. Which is greater: r or -218?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*o = -1, -h + 3 = -3*o + 5*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 144\/10 - (-2)\/(-5). Suppose b - q - 83 = 0, -424 = b - 6*b - 4*q. Let j be ((-6)\/(-6))\/(2\/b). Calculate the greatest common factor of j and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -1\/2, 23?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 2, t: 4, w: 1}. What is prob of sequence pw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27405.\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 + -2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -996.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(700) + -1).\nAnswer: -50*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/625 - -3081\/2500. Factor d*k**2 - 15\/2*k + 45\/4.\nAnswer: 5*(k - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5 - 10905*g**4 + 223*g**2 - 4894 wrt g.\nAnswer: -60*g**2 - 261720*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {k: 5, j: 13}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2056461 kilometers to centimeters.\nAnswer: 20564.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142 and 6674.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + 6f?\nAnswer: 7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9778269 a multiple of 1129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1481\/1506 - ((-5)\/(25\/(-60)) + -11) and -70\/27?\nAnswer: 13554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2125, 16987, 57325, 135877, 265381, 458575, 728197?\n\"Answer: 2123*z**3 + z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 3*s**2 + 0*s**2)*(12294 - 347*s - 12294)*(-2 + 4 + 0)*(1 - 1 + 2*s**2).\nAnswer: 1388*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (6 - 8) - (-3 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - h = -27*q - 32, -4*q = 2*h - 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 10940 - 1190 - 46599)*(-1 - 2 + 1) to m*q + w and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -4, -1, 0.4, 1\/80 in ascending order.\nAnswer: -4, -1, -2\/9, 1\/80, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 53*l**2 + 8*l - 2. Let m(w) = -93*w**2 - 15*w + 3. Let b(u) = 4*m(u) + 7*o(u). Suppose 11*g = 4*g - 56. Determine b(g).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-36) + (4 - (-404181)\/54)?\nAnswer: 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -220134003 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (214 + 33 + 202)*(0*a**2 + 5*a**2 - 3*a**2) to the form o*a**2 + u*a + r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1088)*1 - ((sqrt(1088) + sqrt(1088)*1)**2 + 1))*-4 + 2 + 2*(-4 + 1 + sqrt(1088))**2.\nAnswer: 64*sqrt(17) + 19608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4614760 not equal to 4614759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24417 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r + 19. Calculate h(7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194 - 198. Suppose 122 - 194 = 4*i. Sort 3, z, 1\/4, i in ascending order.\nAnswer: i, z, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593 is divided by 525.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.98 and -2.283?\nAnswer: -22.78434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11697\/714 - -15) + 3\/2 + (-6)\/(-51).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, 4, -0.2246, -46?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -6 + 6)*6*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b + 1. Suppose 0*c - 5*f = c - 10, 4*c = -f + 2. Let s be (3 - c\/4) + 0. Calculate j(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 704 - -3244. Does 84 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121.53 + 0.47. Let f = -124 + y. What is the closest to 3\/4 in f, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3287*s**5 + 2*s**4 - 31237*s wrt s?\nAnswer: 65740*s**3 + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46893.27 seconds in nanoseconds?\nAnswer: 46893270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - c + 1582 = -848, 3*c = -d + 472. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7825155 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 6. Let w = 23 + m. What is the remainder when 9 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -24, -5, 22, 57?\n\"Answer: 4*f**2 - f - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/39 + 1239\/(-364) - -4. Let x = -1223.83 + 1229. Let f = x - 0.17. Which is the biggest value? (a) 0.3 (b) l (c) f (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 843 + 1708 = 850, 6 = -3*w + 3*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -6. Let h be (f + -2 + 1)*1. Let q(s) = s**3 - s**2 - s + 203. Is q(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428853.\nAnswer: 3, 163, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33855, 67714, 101573, 135432?\nAnswer: 169291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6093 - 6090. Sort 10\/3, o, -1, -1\/14.\nAnswer: -1, -1\/14, o, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*p + 0 + 9\/8*p**3 - 15\/8*p**2.\nAnswer: 3*p*(p - 2)*(3*p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.29*-104.7\nAnswer: -135.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/65 + 210\/(-520). Let l = 6\/13 + -11\/52. Which is the closest to l? (a) -13 (b) u (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.014 - -0.014. Let k = 67.4 - 67.3. What is the second biggest value in 0.27, k, g, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 + 116. Calculate the lowest common multiple of ((-30)\/t)\/(6\/(-8)) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -5, 0, 9, 22, 39, 60?\n\"Answer: 2*k**2 - 5*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 581974889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-65)\/(-60) - (-2)\/8. Which is greater: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/20 + 3*x**4\/8 + 5*x**3 - 1240*x**2 + 2. Determine i(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1404266 at least 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 12*m - 8. Is (m - -6) + -2 + 1213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -95*v**2 - 12*v - 7. Let l(j) = -142*j**2 - 18*j - 10. Let z(r) = -8*k(r) + 5*l(r). Is z(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/9524 and 69\/38096?\nAnswer: 38096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*a**5*m + 6*a**3*m**2 - 39*a*m + 2*m**2 wrt a.\nAnswer: -280*a**3*m + 36*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v - 23. Let a be p(6). Solve 0 = -5*d - 4 - a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 + 3 - 1) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 258.62\nAnswer: -2844.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 579 = -4*z + 154, -s + 4*z + 155 = 0. What is the lowest common multiple of 135 and s?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2983162 to the nearest integer?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -84.5?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -26*d. Let l(a) = -461671*a. Give r(l(y)).\nAnswer: 12003446*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -5 + (-9 - -2) + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117\/4 + 30. What is the closest to 1 in k, 0.1, -0.05?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:15 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.55 + 0.5. Let f = 0.45 + z. Is f less than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112312 (base 4) to base 5.\nAnswer: 134213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3 - 655*v**2 + 2911*v - 1292 = 0.\nAnswer: 1\/2, 4, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*d - 366*d - 1258 = -141*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 - m**2 - 2*m - 2. Let o be h(-1). Solve -o*p = 2*f, -4*p - f = -6*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 27. Let s be c(11). Suppose 2*r - h - h - 34 = 0, 4*r - 23 = -s*h. Calculate the greatest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -62*q + 10. Let o(k) = -2*k**2 + 17*k - 23. Let p be o(7). What are the prime factors of w(p)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140900 and 56360?\nAnswer: 281800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 25 = 5*l, 147351*z - 147346*z - 3*l = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 3. Let w be u(2). Let m(g) = -g**2 + 12*g. Does 3 divide m(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)\/(t*t*t**3*t)*t*t**(-2\/3)*t**(-1\/7)*(t\/(t*t**1))**(-12\/13)\/((t\/(t*(t\/((t\/t**(-1))\/t))\/t))\/t*t**(1\/4)) assuming t is positive.\nAnswer: t**(-1991\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.1 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16\/13 (b) 10\/1047 (c) 3 (d) -2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 16 = 7*s. Suppose s = -2*f + 3*f. Suppose 2*i - 2 = 6, -4 = q - 3*i. Solve q = -f*n - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -4*i - 5*t + 24, 25 = 3*i - 4*t. Suppose i*g - 22 = -4*w, -4*w + 32 = 5*g + 6. Find the first derivative of -14 + 4 + 5 - g*y**3 wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) + 2576\/20. Suppose -2*c + 143 + t = 0. Calculate the highest common divisor of c and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -74. Let s = 69.000066 - p. Round s to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y + 160 = 37*y. Suppose 44*p - 52 = y*p. Let u be (0 - 4) + (395 - p). Calculate the highest common divisor of 42 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {j: 4, e: 1, t: 8}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 13*q + 8*q**2 + 2*q - 5 - 4*q - 1 + q**3. Let x be h(-6). Solve -2*d + 2*g + 6 = x, 0*d + 9 = -5*d - g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 5*t - 1. Suppose s + s = -3*p + 22, 2*p - 3*s = -7. Let u be m(p). Let v = -42 + 48. Solve u*d = -0*d + v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/y**(-3)*(y**(-1)*y*y*y)\/y*y**(4\/9)*y*y**(-2\/5) assuming y is positive.\nAnswer: y**(362\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26392*a - 26554*a = -10368 for a.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -649 + 654. Let a(h) = 913*h + 1. Let q be a(1). Suppose i*y + 4*n = 919, -5*y - 2*n = -3*n - q. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -76172, -69 in ascending order.\nAnswer: -76172, -69, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 98 = -3*j. Let p(f) = f**3 + 25*f**2 - 58*f + 42. Is 30 a factor of p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1 - ((-264)\/28 - -10)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 378927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11957 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*n - 265*n + 1794 = -525*n for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133.2732 - -133. Let h = -0.28 - q. What is h rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 20*z + 23. Let m(w) = w**2 + 16*w + 29. Let j = -56 + 44. Let g be m(j). Let b be r(g). Calculate the highest common factor of 52 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*x**5 + x - 15*x**4 + 48*x**3 - 71*x**5 - x - 12*x**2 = 0. Calculate x.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/(-4))\/(24\/(-5664)) is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-228)\/54 - (-2)\/9. Let c(a) = a**2 + 3*a + 4. Calculate c(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-14*28\/(20188\/(-3))*(-7)\/(-6))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Suppose -2*m = -m - 5. Suppose -20 = -m*w + 10. Solve -2*x + 25 = 5*s, w*x - p*x + 5 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27\/6 + (1\/(-2) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 16\/9 - 310\/(-18). Suppose -3*n - 4*r + 613 = 0, -v*n - 4*r = -15*n - 406. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(sqrt(1573) - (-2 + sqrt(1573))*2)**2*6*4.\nAnswer: -152544 + 8448*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-48)\/(-10) - 4) + 274960\/50.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 6*q + 39*l + 69 = 37*l, 2*q - 1124 = 42*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46065 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.14 + 27.14. Let n = 25 - w. Which is the nearest to -1? (a) -15 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13*p - 1. Let o be g(-1). Let w = o + -8. Find the common denominator of -7\/9 and 340\/(-16) + 2\/w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 0*h + 2*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11525 + 2?\nAnswer: -11523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*14\/(-6)*-2. Let x be 4\/k - (888\/(-28) - 1). Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -970+0.0361\nAnswer: -969.9639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/6 - (-968)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7137971031?\nAnswer: 3, 829, 2870113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -5 - (9 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*8\/(-6)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23\/43 + 485\/344. Let d = 69 - 69. Suppose -z*y + d - 1\/8*y**2 = 0. Calculate y.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*p - 21, 0 = 5*d + 4*p + 16 + 11. Let w(v) = 2*v**2 - 5*v + 4. Let s be w(4). Sort -5, d, s in decreasing order.\nAnswer: s, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 30 = -33, 4*h + 3*i - 1431 = 0. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 259.6 * 0.3.\nAnswer: 77.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11154 (base 8) to base 14.\nAnswer: 1a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 686902091809.\nAnswer: -686902091809.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 5*o + 2. Let z = 78 + -78. Let a be m(z). Sort 3, a, 1, -1 in ascending order.\nAnswer: -1, 1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.5898 to 1 decimal place.\nAnswer: -44.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - -4) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 17, 36, 61, 92?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 9) to base 7\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 4:53 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1331) + -1 - sqrt(1331)) - (sqrt(1331) + (sqrt(1331) - -1*(sqrt(1331)*2 - sqrt(1331)))))**2.\nAnswer: -66*sqrt(11) + 11980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -397\/8. Is 0.2 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 4:02 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**8\/56 - 9*u**5\/10 + u**4\/12 - 13*u**2\/2 - 37*u. What is the third derivative of i(p) wrt p?\nAnswer: -120*p**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 + 6*p - 6. Let x(j) = j**2 - j + 1. Let i(q) = 4*d(q) + 24*x(q). Let l(a) = 4*a**2 + 31. Give i(l(w)).\nAnswer: 128*w**4 + 1984*w**2 + 7688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-135)\/20)\/(156\/(-8)). Let z = -28\/13 - g. Sort z, 4\/7, 2.\nAnswer: z, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -3. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 + 93. Which is the nearest to 1? (a) -2 (b) -4 (c) n (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/15, -109\/2, -2, -3\/521?\nAnswer: -109\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689799933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 + 87. Let c(h) = -2*h**3 + 3*h**2 - 2. Let r be c(f). Let n be 15\/(-10)*(3 + 0 + r). Sort 2, 5, n, 9 in ascending order.\nAnswer: n, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -68650405, -1, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -251*x + 4. Let c be g(-1). Round c to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 3*r**2\/2 - 6*r + 147. Suppose 3*j - 56 = -11. Suppose -j + 0 = -3*i. Calculate o(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196022341.\nAnswer: 311, 829, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22341304 to the nearest integer?\nAnswer: 4727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 + 11*x + 1. Let l(i) = -9*i**2 + 35*i + 3. What is -10*a(r) + 3*l(r)?\nAnswer: 3*r**2 - 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = 0. Suppose 5*i - 2*t + 5 = -4*t, q = 4*t + 20. Let d = -4 + 0. What is the smallest value in 2, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:46 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*m = 15 - 13, 5*m - 20 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + -0.29. Let m = 0 + q. Let o = -30 - -119\/4. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-72))\/((14\/9)\/((-632)\/(-711)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*v + 533*v - k + 73 = 1079*v, 5*k = v - 51 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 - m**2 - 2. Calculate the smallest common multiple of 2 + (3 - (-13 - -2)) and p(-2).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 125*x + 920. Give h(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -10.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(180)*6)*-3)\/(1*6*sqrt(175)*-6).\nAnswer: sqrt(3)\/2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-20))\/((2673\/(-44))\/(-27)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-14) + (-10)\/(-12)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 + l**2 - 14*l**2. Let o(t) be the first derivative of -1\/2*t**2 + 0*t - 26. Calculate o(b(r)).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -13. Suppose -z*a = 2*a - 35. Is 6645\/13 + 279\/(-39) + a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**4 - 2*h**3 - h**2 - h + 1. Let i(p) = 9*p**4 - 5*p**3 + 17*p**2 + 7*p - 8. Let w(o) = -i(o) - 7*x(o). Find the third derivative of w(t) wrt t.\nAnswer: -48*t + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162299957.\nAnswer: 19, 661, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 495017460?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 758580601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + (1 + sqrt(1216) + 0)**2 + sqrt(95)\/sqrt(5) + 3 + (sqrt(684) - (sqrt(684)*2 + sqrt(684)))**2.\nAnswer: 25*sqrt(19) + 3956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180577 and 1281644?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -394, -397, -412, -445, -502, -589, -712?\n\"Answer: -g**3 + 4*g - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1981\/20 + -579\/5. What is the common denominator of m and (-1)\/(-4)*116\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 9*p - 8*p - 716 = 0, 3*z = p + 544. Suppose 0 = 833*y - 838*y + z. What is the highest common factor of 99 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -39*z + 37*z - 1, 2*n + 4*z = -14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1088*r + 80. Let j(u) = -36993*u + 2736. Let q(b) = -5*j(b) + 171*k(b). Let f(y) = -3*y. Give f(q(g)).\nAnswer: 3249*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((((b\/((b*b\/(b*b\/(b*b\/b**6*b)*b))\/b*b))\/b)\/b)\/b))\/(b*b\/b**(2\/9)*b)*((b**(2\/7)\/b)\/b)**38 assuming b is positive.\nAnswer: b**(-4342\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 4 = c. Let f = c + 10. Suppose -3*d + f = -6. Solve 0 = d*n + 4*i - 16 - 7, -2*n - 5*i = -20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -1 (c) 3 (d) 0.2974\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 64960006 = 2*f, m = -4*f + 8*f - 129919998. Round f to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 95*j - 482 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 64932*b - 527020578.\nAnswer: -2*(b + 16233)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 - 72\/(-20). Let r(z) = 3*z - 1 + 1. What is the tens digit of r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -2. Suppose -4 = j + g. Let v be -1*(j\/(-3) + -6). Solve l = -3*i - 8, 2*l - v*l = -i - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493575 is divided by 838?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/9, 5, 2\/5, -0.02836, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + 4 + -9)*(-1 + 6). Suppose -5 = i*w - 5. Suppose w = 8*l - 13*l + 915. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65982331 to the power of 1\/2, to the nearest integer?\nAnswer: 8123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9052295*m**3 - 3852243?\nAnswer: -27156885*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 140 = -3*t. Calculate the least common multiple of (t + -2)\/((2 - 4) + 3) and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -28*j - 1. Let p be 30\/8 + (-8)\/(-32). Suppose 4*b = -t - p, 3*t + 3*b = -2*b - 12. Is u(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267*p**5 + p**4 - 319*p + 2.\nAnswer: -5340*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 49*f + 4. Let k(t) = -6*t. Let g(i) = 24*k(i) + 3*p(i). Let c be g(-3). What is the highest common divisor of c and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31896299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g - 5 = 0, -l = -g - 40. Let t = 20 - 8. Let w = l - t. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 0)*-5*4.\nAnswer: -220*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -455*i**6*k*r**2 + 16*i**2*k*r**2 + 2*i**2*k + 2*i*k*r**2 - 2*i*r wrt i.\nAnswer: -54600*i**3*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 997.\nAnswer: 6979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-36)\/(-18 - -30))\/((-2)\/18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**3 + 50*m**2 - 107*m + 1. Determine h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1160371 (base 9) to base 14\nAnswer: -125919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(637) + 1)*-4)**2 - (-4*(0 + sqrt(637)))**2).\nAnswer: -896*sqrt(13) - 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(104))\/sqrt(8) - sqrt(13) - sqrt(156)\/(sqrt(72)\/sqrt(6)) - ((sqrt(13) + 1 + 4)**2 + sqrt(65)\/(sqrt(5) - sqrt(20)))*5.\nAnswer: -190 - 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-1 - 17) + -3 + -6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3412 - -3746. Calculate the remainder when o is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 + 50*f**2 - 47*f - 26. Calculate c(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1771*h**2 - 1529*h**2 + 3302*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -15b2d1?\nAnswer: -15b2e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(3\/7)*q))\/(q\/(q*q**(-3\/2))) assuming q is positive.\nAnswer: q**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53949454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 1. Let s(q) = 2. Let z(c) = 6*l(c) + 3*s(c). Let d(n) be the second derivative of -5*n**3\/6 - 2*n - 43. What is d(z(k))?\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6397691.\nAnswer: 6397691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -94625, -189252, -283879?\n\"Answer: -94627*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4299 - -4318. Solve a*y = 88 - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -166686, -333363, -500028, -666681, -833322, -999951?\n\"Answer: 6*t**2 - 166695*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 8988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:03 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**5 - 43*h**4 - 3*h**2 + 3*h**5 + 71*h**4 - 93*h**6 + 95*h**6 wrt h?\nAnswer: 240*h**3 + 672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442949084 to the power of 1\/3, to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 + 0\/(-4) + -4 - 4. Suppose 4*l + 0*l - 167 = -3*x, -5*x + v*l = -288. Let s = x - 37. What is the highest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 12*r**2 - 18*r - 14. Calculate j(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 634836647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3909*y**2 + 3909*y**2 - 21*y**4)*(341*y + 45*y + 43*y).\nAnswer: -9009*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 9*f - 9*f + 20*f)*(-3 + 1 + 1 + (-2 + 2 + 1)*(0 + 0 - 2)).\nAnswer: -6*f + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2242 - 2242.2. Which is the biggest value? (a) 3 (b) g (c) -15 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 - 94 + 14)*(-2*j - j + j) to z*j + l and give z.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/19)*k\/((k**(-8\/5)*k)\/k)*k**(-2\/5)*k*k**(1\/4) assuming k is positive.\nAnswer: k**(1331\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7 - 36*r - 1 + 35*r. Let p be x(-15). Solve -u - 18 = 5*c, u + p*c = 3*c - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 272693, 1090440, 2453353, 4361432, 6814677?\n\"Answer: 272583*v**2 - 2*v + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:10 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**15)\/c**(2\/41) assuming c is positive.\nAnswer: c**(-535\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -334 + 350. Solve 2 = -5*p - g - 4, 0 = -2*p + 3*g - n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 * 7945\nAnswer: -699160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1981*b + 23887. Let c be j(-12). Solve -21*a - 2*a - c = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103786600.\nAnswer: 2, 5, 518933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -61, -148, -279, -460, -697, -996?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-11) - -16*2\/176. Solve -4*w - 39*q + 42*q - 12 = 0, -q = -d*w - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7))**(9\/5))**(-13) assuming p is positive.\nAnswer: p**(234\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9088914 is divided by 4595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3506902 and 2898?\nAnswer: 31562118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 + -120. Suppose -5*p = -2*p. Differentiate 0 + i*s**2 + 4*s**2 + 3 + p with respect to s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*a - 19*a + 14*a)*(-5 + 4 + 3 + 7 + 8 - 3 + (0 - 2 + 3)*(-1 - 2 + 2) - 3 + 5 - 4 - 2 + 3 + 0) to the form o*a + h and give o.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087859359?\nAnswer: 41, 50923399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 + 3803*o**2 + 64344*o - 68148 = 0. What is o?\nAnswer: -3786, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o - 8 = 0. Solve 6 = o*d + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*r**5 + 2*r**3 + 520*r**2 - 9667*r - 3 wrt r?\nAnswer: -840*r**3 + 12*r + 1040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 3*s - 6. Let x be g(-6). Let w = 142\/3 - x. Which is smaller: 1\/8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - b = 121998, b + 183023 = 3*q + 6*b. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010001001000001110010 (base 2) to base 3.\nAnswer: 22221121102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 8:39 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10436602 (base 7) to base 6.\nAnswer: -31144104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/117 and -61\/12480.\nAnswer: 37440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3517*x + 3309*x + 6240 = 0 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -29998 * -81\nAnswer: 2429838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 11*l + 20. Determine p(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3096279 = 11197*g - 11238*g. What are the prime factors of g?\nAnswer: 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + 8627 - 8418 - 2*h + 2 - 2 - h + (-5 + 0 + 3)*(0*h - h + 0*h) + h - h + 2*h.\nAnswer: 4*h + 209","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*z - 64 = 0, 0 = 5*x + 2*z - 56 + 11 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f**4 + 43815*f**3 - 6157875*f**2 + 232889965*f - 195123390 = 0 for f.\nAnswer: 6\/7, 77, 1097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.098 - 0.13. Let z = i + 0.03153. What is z rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -605*m**2. Let f(g) = 10*g**2. Determine a(f(v)).\nAnswer: -60500*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 278082 or 278081?\nAnswer: 278082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 178717*y + 5647. Is a(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821971547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2627047, -10508187, -23643421, -42032749?\n\"Answer: -2627047*v**2 + v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 3*a = -m - 75, 0 = -3*m - 2*a + 26. Let g be 1\/1 + (-1 - -4). Suppose g*b - 11 - 21 = 0. Calculate the least common multiple of m and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001557041 to 7 dps.\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 6*d**2 - 8*d + 7. Is s(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -153479940 and 3908.\nAnswer: -153476032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 3, f: 13}. Give prob of picking 1 f and 1 k.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, z: 2}. What is prob of sequence zzxx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 43*i + 81*i - 15*i + 12 - 27*i.\nAnswer: -4*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -297, -267, -231, -189, -141?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**2 + 1344*c = 0.\nAnswer: -336, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 196402 divided by 2?\nAnswer: 98201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 467867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1253 * 0.232407\nAnswer: -291.205971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17489 + 225.\nAnswer: -17264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -4*x**3 + 104 - 1\/4*x**4 + 6*x + 15\/2*x**2. Determine d(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03431 in 1\/3, 0.14, 1\/2, 4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.656 and 0.17988481.\nAnswer: -0.47611519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -154?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -10591.\nAnswer: -10591, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378918871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 23 + (-322)\/(37 - -9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 2. Suppose -2*x + 39 = 17. Suppose 2 = -u, 2*w - u + 16 = 3*w. Calculate the least common multiple of w and s(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789235964.\nAnswer: 2, 11, 2017, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Suppose 3*f - 6*f + 9 = y. Suppose 223 - 42 = 2*s + 3*b, -f*s = -2*b - 291. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w + 44 - 18 - 25. Let r(z) = 1. Let s(q) = j(q) + 4*r(q). Differentiate s(c) with respect to c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*a + 3 - 1\/4*a**2 = 0 for a.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 34 = 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -3. Let o be r\/10*8*-25. What is the highest common factor of o and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20309.67 centuries in millennia?\nAnswer: 2030.967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide ((-37840)\/(-6))\/5*-5*126\/(-56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 + 1)*(2 + 1 - 1) + 1 - 3 + 0 - 18 - 14 - 10)*(-5*d + d + 6*d) to u*d + v and give u.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/15*160\/24. Let b(c) = -23 + 6*c + 12 - o*c + 16. Let y(a) = -a**2. Determine b(y(s)).\nAnswer: -2*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164838108, -329676218, -494514328, -659352438?\nAnswer: -824190548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, -13, -21, -33, -49?\n\"Answer: -2*o**2 + 2*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -81603*w + 2257. Let l(j) = -2*j. Determine r(l(q)).\nAnswer: 163206*q + 2257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13464 or -13463?\nAnswer: -13464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*d + 12 = 85*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 2*h - 3. Let c be g(-2). Suppose c*l - 14 = 3*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28306836 divided by -4\nAnswer: 7076709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 765 and -12.\nAnswer: -9180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1082 divided by -2103\nAnswer: 1082\/2103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2239, -6409, -12535, -20611, -30631, -42589, -56479, -72295?\nAnswer: -90031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 125 = y + 2*z, -4*z = -5*y + 680. Suppose 20*p = 15*p + y. What is the remainder when 50 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 827087 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/4507194 and -32\/1227.\nAnswer: 1843442346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3018.\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:37 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -14*r**2 + 112*r + 120. Calculate v(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 423*k**4 - k**2 - 4291 wrt k?\nAnswer: 10152*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -210, -5 in increasing order.\nAnswer: -210, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 109 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/679 and 31\/5?\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 326697 to the power of 1\/2, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5 - 212174*f**4 - 1060832*f**3 - 1272976*f**2 + 848672*f + 1697312 = 0.\nAnswer: -106082, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.1 (c) -0.3 (d) -12 (e) -385.1 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/6)\/(-2) - 6120\/(-27). Find the second derivative of -x*z**2 + 1 + 3 + 285*z**2 + z wrt z.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1595903, -6383528, -14362903, -25534028, -39896903, -57451528, -78197903?\n\"Answer: -1595875*g**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4877, 4917, 4983, 5087, 5241?\n\"Answer: 2*y**3 + y**2 + 23*y + 4851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1197 and 1314705.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2479 - 972. Let p = v + -960. Is 85 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0926 + 4612914?\nAnswer: 4612912.9074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -861940.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*u**3 + 27*u - 3 + 3 - 70*u + 18*u.\nAnswer: 268*u**3 - 25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8547 - 8456. Solve -15*j = -g + 181 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271794 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5870, 0.3, 5\/4, 1\/5, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248567.9 grams to tonnes.\nAnswer: 0.2485679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 67*y + 1. Let a be x(-4). Let s = -172 - a. What is the highest common factor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0769 - 9.008.\nAnswer: -10.0849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-0.4\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 k when four letters picked without replacement from rhgashak?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z**4 + 55*z**2 - 152*z - 2. Let m(r) = -13*r**4 - 53*r**2 + 151*r + 2. Let h(y) = -4*m(y) - 5*v(y). Find the second derivative of h(j) wrt j.\nAnswer: -36*j**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 34 - 130 = 0. Let h = 65 + -43. Let q = 44 - h. What is the remainder when t is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l - 22. Let m be (-6 - (4 - 5)) + 2. Let v be z(m). Solve 4*h + 4 = v*g, -h - h - 4 = -2*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 11\/3*g**3 - 3*g + 0 + 2\/3*g**4.\nAnswer: g*(g + 3)**2*(2*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9288 and 11653.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 2658*m - 588747.\nAnswer: -3*(m + 443)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n - 20. Factor 5*j - 3*j + 4*j**3 + j**4 + 0*j + n*j**2.\nAnswer: j*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 19, 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**3 - 2*t**3 - 3*t**4 + 2*t**4 + 2*t to f + a*t**2 + o*t**3 + x*t + w*t**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**5*z + 2*k**4*z + 2480*k**2 - 5*k*z + k + 28*z + 4 wrt k.\nAnswer: -40*k**3*z + 24*k**2*z + 4960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57\/4 - (-4)\/(-16). Suppose -5*w = -5*p + 45, -3*p + 3*w + o = -p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10)*(-11)\/572*10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 4368?\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + d - 157 - 8 = 0, 117 = -3*z + 3*d. Is -42 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4252.688 rounded to the nearest ten?\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/42 (b) 0.5 (c) 111 (d) -0.01 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008930696304 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 85 = 3*v - 5*p, 3*p + 9 = 0. Let k = v + 30. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 = -3*r - 103. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127 and 4.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*v**3 + 5*v**2 + 56*v - 942 wrt v?\nAnswer: -9*v**2 + 10*v + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1134\/870)\/3 + 32 + (-1296)\/40.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - c**2 + 334*c - 333. Let q be d(1). Put 7, -1, q, 130 in descending order.\nAnswer: 130, 7, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56320 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cllcccccccllcc. What is prob of sequence clll?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 5*v + 5. Let z(q) = 6*q**2 + 14*q + 14. Let w(n) = -14*b(n) + 5*z(n). Let i(l) = -8*l. Calculate w(i(m)).\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10222 (base 3) to base 5.\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 3)*(-i + i - 2*i) + (0 - 4 + 0)*(-3*i - 5 + 5) to the form c*i + b and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -15*u**3 - 2*u**2 + 1. Let y = -1 - 1. Is i(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*m)*(-7 - 1 + 6 + (4 - 4 + 1)*(5 + 0 - 3) + 3 + 2 - 2 - 5 + 5 - 1)*(-4 + 4 - 1)*(-1 - 4 + 4)*(1 + 3 - 1).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56\/3 + 19. Let m be -6 + 2277\/(-132)*2\/(-6). What is the nearest to 1\/2 in 0, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j - 16. Let b(m) = -m**2 + 6*m + 6. Let q be b(7). Let a = j + q. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2. Let k(i) = 21343*i. Calculate o(k(w)).\nAnswer: 455523649*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*18\/15)\/((-22)\/(-55)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.4 (c) 0 (d) -2\/9 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 29 - (-1 - ((1 - 0) + -1)). Suppose -13*d - w = -18*d. Let b(i) = i**3 - 7*i**2 + 6*i - 8. What is b(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.9. Let i = -11.04 + 11. Let g = i + 0.14. Which is the second smallest value? (a) g (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/7 and -49\/17?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 - 20*w**2 - w + 14. Determine n(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3)*(-9)\/21. Put -2\/5, 0.12, -2, j in increasing order.\nAnswer: -2, j, -2\/5, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.133 - -1.133. Which is the third smallest value? (a) o (b) -2 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14311.21 rounded to the nearest 100?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**(-2\/31)*(((o**(-2\/7)*o)\/o)\/o)**(-3))\/(o**(1\/4)*o*o**(-3)*o)**(-30) assuming o is positive.\nAnswer: o**(-8119\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7623b (base 16) in base 3?\nAnswer: 220120210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1579 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85) + sqrt(85)*-1)*3)\/(sqrt(5) + sqrt(320)*1).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (30044\/(-580))\/((-1)\/5)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -93*a**3 + 4*a + 3. Let j be y(-1). Let k = 58 - j. Let w be 7 + -36 - (-8)\/(-2). Which is greater: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - 2*sqrt(1573)*-2)**2.\nAnswer: 39325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*s - 202*s - 2 = 5*o, 3*s - 3*o = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -793, -575, -307, 5, 355, 737, 1145?\nAnswer: 1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 2*f - 3. Let c(o) = o**3 - o**2 - o - 1. Let z be c(-1). Let q be g(z). Solve 6 = q*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -65. Suppose 0 = k*h - 80 + 73. Let f = 3 + 0. Sort h, 2\/17, f in descending order.\nAnswer: f, h, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7 - (-306)\/(-42) - (-4295)\/6090 and 55\/36.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 42. What is the highest common divisor of y and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5*p - 2800, 5*l + 4*p = -0*l + 2764. Let i = 67833\/122 - l. Is i bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 0 (b) 0.13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - ((-32)\/(-10) + -7 + (-78)\/(-10)). Put 40, 4, b in descending order.\nAnswer: 40, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -16) + -8 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 1. Let g(m) = -14*m + 5. Determine -g(x) - 4*h(x).\nAnswer: 18*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 divided by -271?\nAnswer: -616\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2001\/4 + -18001\/36. What is the third biggest value in 56, g, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Find the second derivative of -15*f**2 + 15*f**z + 4*f**5 + 3*f wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00697631 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f**2 + 2*f**3 - 2*f**3 + f**3)*(-141*f + 152*f + 119*f) as z + y*f**3 + m*f + g*f**4 + t*f**2 and give g.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -6, -1\/3, -2595.\nAnswer: -2595, -6, -1\/3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32063, 32099, 32135?\n\"Answer: 36*q + 32027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -74. Let f be u - -14*8\/16. Solve -b + 4*z + 17 = 0, 4*b + f = -2*z + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*o + 343*o - 4*v = -1, 4*o - 5*v + 80 = 0. Which is the third smallest value? (a) -9 (b) 1 (c) -0.5 (d) o (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 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: Determine y, given that -3\/2*y**3 + 0 + y**2 + 1\/2*y**4 + 0*y = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 98.022\nAnswer: -3.92088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**8\/840 + 4*j**7\/525 - j**6\/50 + 2*j**5\/75 - j**4\/60 - 8*j**2. Determine n, given that f(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -273, -5, 5.\nAnswer: -273, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 25706958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5008 rounded to 2 decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = w - 9, 2*w + 15 = 3*a. Let k be (-2 + 1)\/((-1)\/6). Solve -2*i + 3*i = -3*u - a, -2*i - k = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:48 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-4*n**4 + 14*n**4 + 14*n**4) + 3*n**4 - 3*n**4 - 2*n**4 + n**4 - 2*n**4 + 0*n**4.\nAnswer: 45*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1196, -2461, -3726, -4991, -6256?\nAnswer: -7521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 9:24 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*-1*-1 + sqrt(270)\/(-1*sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/19)\/(s*((s*s**(-3\/11))\/s*s*s)\/s) assuming s is positive.\nAnswer: s**(-383\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616 and 106193780?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*i**2 + 2*g**3*i - 2*g**3 + 25*g**2*i**2 + 177*g**2*i - 13*g**2 + 2*g*i**2 - 779*i**2 - 2*i wrt i.\nAnswer: -2*g**3 + 50*g**2 + 4*g - 1558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011055 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -50, -90, -146?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 3.6, 5, 2\/11, 32, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 14 = -3*g, 4382*g + k + 9 = 4384*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 94*k = 97*k - 87, -61 = -3*y - 4*k for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 119. Suppose m = -11*v + 6*v. Let u = 55 + v. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - 4*b)*((7*b + 5*b + 2*b)*(b**3 - 3*b**3 + 4*b**3) - 5*b**4 - 2*b**4 + 2*b**4 - 2*b**4 + 0*b**4 + b**4) + b**5 - 2*b**4 + 2*b**4.\nAnswer: -21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*z = 18, 0 = 3*v - 3*z + 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417738079 to the power of 1\/2, to the nearest integer?\nAnswer: 37653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + v - 5*v + 24, -3*p + 2*v + 24 = 0. Let x(m) = 2*m + 7. Is x(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b**4 + 5*b**4 + 5*b**4)*(-b - 11 + 11).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4416789 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-710*x + 219*x - 987*x - 827*x)*(0 - 2 + 1).\nAnswer: 2305*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.00739 - -67.38261. Let v = -67 + f. Let y = -2.81 - v. What is y rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 7. Let f = d + 22. What is the remainder when f is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2*p**3 + 9. Let d(w) = 2*w**2 - 4*w**2 + w**2 - 2*w**2. What is d(o(t))?\nAnswer: -108*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118732, -118349, -117966?\nAnswer: -117583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -46, 4, -0.4, 2\/5 in descending order.\nAnswer: 4, 2\/5, -0.2, -0.4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(432) + 2 - sqrt(432)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 86.2. Let o = 1 + b. Round o to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 66 = 0. Let a = -13798 + 13927. What is the remainder when a is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + q + 75 = 0, -5*q - 52 - 35 = -4*j. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1827 + -1827. Let k = -15 + 15. Solve k = -s*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/6)\/((-9)\/12 - 37\/4). What is the third biggest value in 0.01, 0, 2\/15, r, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p + 4 = 0. Let k = -20.8 - -21.1. What is the biggest value in p, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 7*r - r**3 - 3*r**3.\nAnswer: -4*r**3 + 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-12)*(-78)\/(-1274)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -5, -0.637, 2, 2\/3 in decreasing order.\nAnswer: 8, 2, 1, 2\/3, -0.637, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 367*h + 362*h - 155 = 0, 2*h + 76 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -25 and -25 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/5? (a) 4 (b) -57 (c) -31\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 7.329\nAnswer: 7.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - i = 4*i + 7, -4*i = -2*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 - 5*x - 5. Let v(w) be the second derivative of -w**2 - 1\/3*w**3 + 1\/6*w**4 + 4*w + 35. Calculate -2*a(t) + 5*v(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2650452 or -0.13?\nAnswer: 2650452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-35))\/(8 - (-1836)\/(-255))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 342 + -306. Let w(t) = t + 6. Let h be w(6). Calculate the greatest common factor of s and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/45 + 112\/(-18). What is the smallest common multiple of 10 and d\/(-4 + 1) - -6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + 2*b**3 + 835*b**2 - 835*b**2 + 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8472*m**2 - 55*m - 2729628 wrt m.\nAnswer: -16944*m - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 9:03 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*i**3 + 3*i**2 + 3*i**3 - 5*i**3)*(0*i + 2*i + 0*i) in the form x*i + k*i**3 + p*i**2 + l + a*i**4 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 - 6*t - 1 + 11 - 10.\nAnswer: 12*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10544 and 1898.\nAnswer: -20012512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -15. Suppose 5*d - 183 = -33. Suppose -m*c + d = c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 751, -4, 1, 3, 11 in descending order.\nAnswer: 751, 11, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -10. What is the units digit of (-2)\/((-2)\/(b - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00098 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 7*u + 12. Calculate v(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2047165535 at most as big as -2047165535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15722 is divided by 1741.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/56335 and -13\/204011569.\nAnswer: 1020057845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-86)\/(1\/((-4)\/(-4))). Let k = v + 153. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 574*p**3 + 599*p**3 + 2 - 1174*p**3 + 0*p - 102*p**2 to d*p**2 + x*p + j*p**3 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3177*a**2 + 210*a - 33. Let q(i) = 2723*i**2 + 182*i - 28. Let m(k) = 13*h(k) - 15*q(k). Let c(r) = 2*r**2. Give c(m(b)).\nAnswer: 415872*b**4 - 16416*b**2 + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p**3 + 2*p**2 - 9*p - 9. Determine d(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*sqrt(1539) - sqrt(1539))*-5)**2 + 4.\nAnswer: 346279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*f - 1057*f + 308*f + 430*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 34 = 1. Suppose -18 = -4*w - 2*i, -2*w - 17 = 2*w - m*i. Let n = 11 + w. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2419793109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 2. Let p be i(1). Let t(r) be the second derivative of 0 + r + p*r**2 + 1\/6*r**3. Let a(s) = -s. Give a(t(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 384, 556, 728, 900, 1072?\nAnswer: 1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -286*b**2*o**4 + b**2 + 6*b*o - 2*o**5 - 9*o wrt o.\nAnswer: -3432*b**2*o**2 - 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.047 - 0.253. Which is the fourth biggest value? (a) -0.4 (b) h (c) 1\/10 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004259 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 + 1484918*b\/13 + 8909580\/13.\nAnswer: -2*(b - 742465)*(b + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7142 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5 - -32 - 4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = 0, 0*y + y = -d + 5. Suppose -t + d*t - 3*m + 17 = 0, 4*t = -3*m + 7. Let r be (-7)\/(-2) + t\/4. Solve -2*g - 11 = r*g + 2*s, s = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -7*r**4\/3 + r**2\/2 + 2*r. Let h(n) = -552*n**2 + 264*n**2 + 290*n**2. Determine h(t(j)).\nAnswer: 1568*j**4 - 112*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12065171*p**5 - 14840036*p + 2?\nAnswer: -241303420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5*u**3 - 30*q**5*u**2 + q*u**2 - 82*q*u - 3*u**3 wrt q.\nAnswer: 40*q**3*u**3 - 600*q**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*h**2 + 14 - 13 + 2*h**3 - 2*h + 78*h**2 + (-5 + 1 + 3)*(1 + h**3 - 1).\nAnswer: h**3 + 4*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.13 - -131.87. Let c = j + -89. Let q = 46.000037 - c. What is q rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21354353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -18*z - 723*z**3 + 123*z**2 + 684*z**3 - 3 + 3 = 0.\nAnswer: 0, 2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -18*p - 368. What is u(-17)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 7*y - 13. Let s(a) = 2*a**2 - 3. Calculate -3*s(x) + t(x).\nAnswer: -5*x**2 + 7*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 213*o**2. Let r(q) = -2*q. Calculate r(z(h)).\nAnswer: -426*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(((-37)\/74)\/(0 - -1)). Let i(p) = -1764*p - 40. Let j be i(u). What is j rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 - (31 - 27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10485274357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -35*q + 312. Let u be y(9). Let s(t) = t + 5. Let k be s(-5). Suppose k = -c + 3*c. Put c, 3, u in decreasing order.\nAnswer: 3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - g + 6. Let l be (2\/(-6))\/(1\/g). Let v be (-4)\/(-8) - l\/3. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) - 2*(sqrt(245) + 0))) + sqrt(245) + (sqrt(245) - (sqrt(245) + -2 + sqrt(245))) + -2 + sqrt(245) + -4)**2*3.\nAnswer: -504*sqrt(5) + 6663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5 + 3*u**2 - 3 - 1 - u. Let c be z(1). Solve 0 = -4*o - 5 - c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-12)\/9 + (-1071)\/81 + 14\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1400\/591273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 3*q**2 - 12*q + 8. Let v be w(-7). Let k = v + 160. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661 at most as big as 2214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6264, -12512, -18724, -24882, -30968, -36964, -42852, -48614?\n\"Answer: 3*p**3 - 6269*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266380?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -37, -36, -31, -22?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 11*o**2 - 12*o - 10. Calculate s(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 47. Let i(n) = -3 + u*n - 9*n + n. Calculate i(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34562 divided by -5961?\nAnswer: 34562\/5961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 + 14*f. Let p(r) = r**2. Give p(k(g)).\nAnswer: 16*g**4 - 112*g**3 + 196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*c = -91*c + 112 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 - 4*z**2 + 1. Suppose 8 = -3*f + 7*f. Let v be o(f). Solve -7*x + v - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**6\/45 + r**5\/120 - r**4\/24 + 2*r**3\/3 + 1. Let a(b) be the third derivative of i(b). Is a(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-18)*(-1)\/40*2\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 9*k**2 + 13*k + 25. Let t be o(-10). Which is smaller: -29\/5 or t?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -967 + 969. Solve -w*u + 83 = 73 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 16486471 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-323)\/493)*(-14)\/(-3)*12\/(-14).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -430. List the prime factors of n.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 22*g + 110. Let l = -3 + 6. Solve 4*s - g = -2*b + l*b, -5 = -3*s - 5*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5038 - 157*r**2 - 30*r**2 + 5038 in the form s*r + u + j*r**2 and give j.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 98\/6 - 45695\/(-1443)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b = 135 - 457. Solve n - 3 = 4*t, -12*t - 4*n - 9 = -b*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1, 4, -36, 4\/5 in decreasing order.\nAnswer: 4, 4\/5, 2\/5, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/8)\/((-141)\/(-66) - 2). Suppose -a = -2*j - 3. Solve j*p = -u + 9, -3*p + p = -u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 + 29*z + 5. Calculate i(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 38. Which is the closest to 4? (a) 0.2 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15530, 31060, 46590, 62120, 77650?\nAnswer: 93180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {i: 2, d: 3, a: 1, t: 2, z: 3, e: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 s, and 2 w when four letters picked without replacement from {s: 7, w: 6, t: 1, z: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9501 + 13949 = 278*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/13770 and 145\/114546.\nAnswer: 15463710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.5 - -21.2.\nAnswer: 16.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((5*sqrt(1008)*-2 - 6*-3*sqrt(1008)) + 1) + 0)*-1)**2.\nAnswer: 192*sqrt(7) + 64513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiigiiiiiiii. What is prob of sequence gii?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 5. Let i be v(-9). Suppose 0 = -i*a + 60 + 24. What is the remainder when 83 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -203\/15 + -109\/5. Let f = -34 - h. What is the closest to 2 in 0.2, f, 4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (1 - (2 + -17 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15969 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0 - 1\/3*n**3 + 1\/2*n**2 - 3*n - 1\/24*n**4. Let r(b) be the first derivative of v(b). Calculate r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in years?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2745 and 13114390.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -2. Let p = -26 + 18. Let w = p + y. Which is the third smallest value? (a) 4 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 + -122. Let y = 8.7 - 6.4. Which is the smallest value? (a) 1\/5 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 9*c + 2. Suppose -56 - 43 = 11*f. Let i be t(f). Solve i*r = -r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {m: 4, b: 5, x: 2, u: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7915\/3 - -2616. What is the common denominator of y and (-4 - 0) + 132\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(12\/5)*r)\/(r**23*r))\/(r*((r\/r**(-16)*r*r)\/r)\/r)**(-8\/5))**(35\/2) assuming r is positive.\nAnswer: r**(287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 7\/4 (b) -106 (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.3 or 493365?\nAnswer: 493365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + 2*w + w)*(1 - 5 - 4) - 9*w + 0*w + 2*w)*(-1 + 4 - 2).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2621*d + 1850*d + 448*d + 1135*d + 182*d.\nAnswer: 6236*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 2*d + 0*d - d + 4*d + 0*d + 8*d + 8*d - 5*d - 2*d + 3*d + 0*d + (-3 - 2*d + 3)*(1 - 3 + 0) - 1 - 2*d + 1.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*i = -158*i + 64*i - 55832 + 13008 for i.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e5 - 25c?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2801179 divided by 3.\nAnswer: -2801179\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*k = 212*k - 81. Let g(n) = 5*n**3 - 12*n**2 - 11*n - 4. Let f(d) = -4*d**3 + 11*d**2 + 10*d + 4. Let r(o) = -4*f(o) - 3*g(o). What is r(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1753193292?\nAnswer: 2, 3, 41, 3563401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cczuucu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -9 - -9 - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9549932 and 27236.\nAnswer: 105049252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((4*sqrt(495)\/sqrt(11))\/sqrt(9))**2 + -3 + -6*(sqrt(125) - sqrt(125)*-2 - sqrt(125)).\nAnswer: -60*sqrt(5) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 105330456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 150. Let g(z) = 520658*z**2. Determine o(g(x)).\nAnswer: -520658*x**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/37 in 0, 1, -2\/729, -0.3, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**6\/120 - q**4\/24 + q**3\/2 - q**2. Let a be n(0). Suppose -44 + 17 = -a*g. What is the remainder when 26 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + (1 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*p = -5*h + 873, 0 = -4*h - 5*p + 1771. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-57)\/(-12) - (2 + 2). Let w be 4\/14 - 13\/(546\/96). Let h be (2\/(w*3))\/((-2)\/3). Sort h, -2, z, 4 in ascending order.\nAnswer: -2, h, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1097*k - 2512*k - 7810 = -1273*k for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -1122, -3484, -7904, -15024, -25486, -39932?\nAnswer: -59004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 309, 3, 0, -4, -1.\nAnswer: -4, -1, 0, 3, 71, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -20*r - 92. What is t(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 2*r - 6. Determine l(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -1701.6952?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 317017007 - 317017090.0000156. Let y = -83 - w. Round y to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/(-70) + (-10194)\/(-50970).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = 4. Suppose -2*h - 10 = -2*t, -2*h + k*h + 7 = 2*t. Let s be 26\/3 + h\/(-9). Solve 0 = -2*g + s - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85a (base 13) to base 8.\nAnswer: 2623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-250)*22180\/6654\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + y + 8 = 26, -3*d + 37 = 4*y for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250039 is divided by 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*(sqrt(108) + sqrt(108)*2))\/(4*-2*sqrt(4)*2))**2.\nAnswer: -243\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28\/5, -3, 40?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-31)\/r**(9\/11))\/(r**(-17)\/r**(2\/91)) assuming r is positive.\nAnswer: r**(-14811\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 167. Let m be j(14). Suppose 19*z = -0*z + m. Solve -23 = -4*y - z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, -32, -88, -166, -266, -388?\n\"Answer: -11*i**2 - i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9*i - 2582 = -4*g, 5*i = -10. Let y = -208 + g. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*q - 57 - 82 - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/5))\/(w**(-3)*w)*w**0\/w*w*w**(-2\/23))**33 assuming w is positive.\nAnswer: w**(12573\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004637712 rounded to 6 dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*a - 15 = -3, 0 = -c - 3*a + 11. Let u = c - -1. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 893.\nAnswer: 33\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 2*h**2)*(3*h + 2*h - h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10271 divided by 43940?\nAnswer: -10271\/43940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**3 + 0 + 0 + (-2*t**3 + 0*t**3 + 3*t**3)*(-3 + 2 + 3))*(1747 + 6806 + 1872)*(-2 + 4 + 1) in the form n + c*t + g*t**2 + l*t**3 and give l.\nAnswer: 125100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 217?\nAnswer: 5\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 40*k - 154. What is f(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgxzxmvxz. Give prob of sequence gzvm.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3416493 is divided by 683286.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 - 1 = -h, 0 = -3*m - 5*h + 15. Solve -n = -m*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 1. Let q be i(1). Suppose 5 = 2*h + q*h. Let j = -192 - -187. Sort h, j, 5 in descending order.\nAnswer: 5, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257183.\nAnswer: 3, 41, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -2*i**5\/3 - i**2. Let u(c) = -2*c**2 + 7. Let y(r) = -r**2 + 3. Let a(o) = -3*u(o) + 7*y(o). Give a(w(d)).\nAnswer: -1600*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42755?\nAnswer: 5, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/5 + 37*s**2\/5 - 15626*s\/5 - 31392\/5 = 0. Calculate s.\nAnswer: -144, -2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 10*k**2 + 9*k**2 + 10755*k.\nAnswer: 2*k**2 + 10755*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.53 * -3209.\nAnswer: -1700.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11799 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyqi when four letters picked without replacement from ciciiiqaiy.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 9 = 4*x, -2*j - 288*x + 168*x = -118*x + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {v: 4, o: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, n: 6, u: 2, m: 1, q: 1}. Give prob of picking 2 u and 1 q.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3918 = 4*n - 7*n + 2*w, 0 = -5*n - w + 6543. List the prime factors of n.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -342 in 0.03, 8343, 1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 43 + 46 - 89. Let h = -7 + 9. Let q(k) be the first derivative of 3*k**2 + k - 1. What is h*q(z) + 5*x(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 - u**2 - 2*u + 31. Suppose -y + 9 = -q + 2*y, -3*y + 27 = 2*q. Is j(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5 + 15126*k**4 - 45424*k**3 - 211752*k**2 + 726272*k - 484224 = 0. What is k?\nAnswer: -7566, -4, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/65 in -6\/2095, 5, -1, -7, 1\/6?\nAnswer: -6\/2095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/35 and ((-28)\/(-182))\/((-190)\/(-3495)) - 3\/1?\nAnswer: 8645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-75)\/(-20))*18\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 458487756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3839 and 4537.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1507050 by 17730.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27792?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - 3007081?\nAnswer: -3007117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxmvxmmmokxxkf. Give prob of picking 1 o, 1 x, and 2 k.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33767 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**4\/12 - s**3\/3 + s**2. Let p = 5 + -3. What is b(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -26*j - 33 + 17 - 21. Does 26 divide w(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 plus 1.6?\nAnswer: 505.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3*y**5 - 5*o**3 - 137*o**2*y**5 + 2*o**2*y wrt y?\nAnswer: 40*o**3*y**3 - 2740*o**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15727, -62421, -140205, -249079, -389043, -560097?\n\"Answer: -15545*x**2 - 59*x - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 6:46 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 less than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 12\/8)*4\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4741, 9193, 13725, 18379, 23197, 28221?\nAnswer: 33493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1894255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2775 and 60?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 68. Suppose 0 = p*z - t - t - 8, t = -5*z - 4. Solve -2*i - c = 4, z = 3*i + 3*c - c + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/492824 and -1\/17741664.\nAnswer: 17741664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Let d(i) = -2. Let l(z) = -z + 7. Let r(v) = -7*d(v) - 2*l(v). Let a(q) = -4*q. Let c(w) = -6*a(w) - 14*r(w). Calculate j(c(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 1\/40*z**5 + 0*z**4 - 1\/12*z**3 + 0 + 0*z**2 + 5*z. Factor d(h).\nAnswer: h*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 4*a. Let i(s) = -4*s. Give 3*b(c) - 4*i(c).\nAnswer: -3*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8117 - -0.1883. Which is the biggest value? (a) 0.2 (b) -3 (c) 8 (d) s (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.5331549 seconds?\nAnswer: 533154.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 130 + 71 + 2*j**2 + 2300*j - 2352*j wrt j?\nAnswer: 4*j - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a centimeter in millimeters?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151195 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 3*t - 7. Suppose 3*w - 2*f = -5*f + 9, 12 = 4*f. Suppose 4*y + w*y = 5*v + 46, -v - 4*y = -10. List the prime factors of x(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6 + 1 + -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 35. Let b(q) = -q**3 - 6*q**2 + 3. Let u be b(l). Suppose 0 = 4*a + 3 - 7. What is the greatest common divisor of u and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98025397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 25102788*o. Let t(b) = 8*b**2. Give i(t(d)).\nAnswer: 200822304*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3 + 97292*j**2*q**2*y + 5*j**2*y**2 - j*q**2*y**2 - j*q**2*y - 182*j*q**2 - 2*j*q*y**2 - 3*j*y**2 + 17*j*y wrt j?\nAnswer: -6*j + 194584*q**2*y + 10*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**2 + 2. Let o(y) be the second derivative of -y**3\/6 + 6*y. What is o(j(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208 or 1?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5398 (base 13) in base 10?\nAnswer: 11617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 6) to base 4\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(288))**2.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -16, 0, -4, 2\/3, -102?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/(51\/(-130))*12\/(-10). Let u = -50 + l. Suppose -4*g**2 - 26*g**u + 3*g + 2*g + 5*g**2 = 0. Calculate g.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -52.1, 0.5, -4, 0.01 in increasing order.\nAnswer: -52.1, -11, -4, 0.01, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let h(k) = 155*k**2. Calculate h(v(c)).\nAnswer: 620*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Is 14\/17 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6661 - 6665. Let v be 3\/(-1*3 + 1). Let g be 2\/6*3\/8. What is the biggest value in v, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-2)*2\/(-6). Which is the second biggest value? (a) 1 (b) 0.5 (c) 5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**2 + 3*p + 7. Let k(u) = 4*u**2 + 3*u + 6. Let o(t) = -6*k(t) + 5*m(t). Let s be o(-2). Suppose -8*w + s*w - 4 = 0. Solve a = -w + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - y. Let l(f) = -19*f**3 + 6*f - 1. Let j(s) = -l(s) - 4*w(s). Is j(1) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.3, -3, -1, 54?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 - -117. Let p = 9 - 8. What is the nearest to 1 in s, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.24 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56.5 + -44. Let k = o + -12.37. Let n be (-1)\/(2\/(-2)) + 0. Which is the second biggest value? (a) k (b) 1\/11 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*m - 6 = 0, -t - 33 = 3*t - 5*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v - 24 = -32*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (399 + 1)*4\/10. Suppose -3*j + 7*j = s. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbwmmwhmhw. Give prob of picking 1 w and 1 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9474813 and 1599?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 40\/3. Which is the third smallest value? (a) k (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181081 (base 12) to base 9\nAnswer: 704347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2 = -4*i. Let m(h) = -h**2 + 10*h - 4. Let f be m(7). Suppose f = 5*s - c, 5*s - 11 = -0*c + 3*c. What is the remainder when s is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**4\/2 - 590*w**3 + 9865*w**2\/2 + 39725*w = 0.\nAnswer: -5, 0, 14, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8327 - -20816. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -58, -60?\n\"Answer: -2*i - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -860*x = -568*x - 25913832. List the prime factors of x.\nAnswer: 2, 3, 7, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttjrhhtjt. Give prob of picking 1 j and 1 t.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 14*i - 2*x + 10, -4*i = 3*x - 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r - r + 155. Let i = -2 + 4. Suppose i*d = 3*d + 5. What is the biggest value in r, 4, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {a: 1, r: 1, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)\/y*y*y)**(-23)*(y**(-2))**(-2\/21))**(-40) assuming y is positive.\nAnswer: y**(-77440\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m - 33. Give q(-13).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -309 (base 15) in base 5?\nAnswer: -10214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.21 take away 10628.1799?\nAnswer: -10629.3899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 1}. Give prob of picking 2 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 20 = 4*n. Find the second derivative of -o + o**n + o**4 - 3*o**4 wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -399, 1, 23.9, -123, -3?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3189*a**2 - 1821 + 3146*a**2 - 1947*a**2 - 167*a**2 wrt a.\nAnswer: 8442*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -7 - ((6 - 5) + -6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205084938*s - 68361648*s - 68361653*s - 68361651*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2764, -10994, -24688, -43846?\n\"Answer: -2732*j**2 - 34*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 3\/4 + (-85)\/(-20). Suppose -30 = -t + 2*x, -5*x + 36 = -w*t + 153. Differentiate 8 - t - 3*k + 41 with respect to k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {f: 1, l: 5, h: 5, o: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:54 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.018 and -683203226140.\nAnswer: -683203226140.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + 24. Let a = 65 - o. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1\/2, 381, -2, 0.3, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -29. Suppose b*g = 2*g + 9. Suppose 4*y + 15 = -y + 4*d, g*y - 3*d + 12 = 0. Are 0.18 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + b - 1. Let h be 6\/9*(-9)\/2. Let f be r(h). Suppose 2*q + 13 = -j + 34, -f*q + 5*j + 15 = 0. Calculate the highest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -36.08 (b) -0.1 (c) 1\/6 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crgeeeezzzcegleegec. What is prob of picking 1 c, 1 g, and 1 z?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4, 327\/712 in increasing order.\nAnswer: -0.1, 327\/712, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-1)\/(-4))\/(3\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let j be u(-6). Let v(a) be the first derivative of -a**3\/3 - 7*a**2\/2 - 8*a - 3. Calculate v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(133)*2*5)\/(5*-1*sqrt(28)*-5).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32241, -128845, -289855, -515277, -805117, -1159381, -1578075, -2061205?\n\"Answer: -x**3 - 32197*x**2 - 6*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72757*v**6 + 212*v**2 - 41*v wrt v.\nAnswer: 8730840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 12. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/5 of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -587 - -684. List the prime factors of c.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2354268*n**2 - 5501521*n wrt n.\nAnswer: -4708536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79732, -141613, -203506, -265417, -327352, -389317?\nAnswer: -451318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, -22 in increasing order.\nAnswer: -22, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14821, -59249, -133393, -237331, -371141, -534901, -728689, -952583?\nAnswer: -1206661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 162, 589, 1254, 2127, 3178, 4377, 5694, 7099?\n\"Answer: -5*f**3 + 149*f**2 + 15*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4510*z + 2546*z + 2043*z - 2.\nAnswer: 79*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -109*s - 107*s - 115*s + 329*s. Let n be 1 + 1 + 10 + -4. Let p be (15\/(-10))\/((-2)\/n). Let t(c) = -5*c. Determine p*t(k) - 14*j(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = 13*b + 423. Let p be ((-4)\/5)\/((-26)\/(-2665)). Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 55. Let q be 111\/90 - n*(-2)\/20. Which is the nearest to 1? (a) -2\/17 (b) 4\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -14*f - 4. Suppose 2*z - f*k - 100 = 0, -5*z + 0*k + k + 241 = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-1 + 1\/(-3)). Let y(k) = -2*k**2 + 3*k - 14. Let h(d) = -3*d**2 + 5*d - 25. Let t(a) = -3*h(a) + 5*y(a). Calculate t(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7491 - 7476. Solve 0 = -n*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = 0, 8*w + r + 104 = 25. What is the biggest value in 5, 4, -104, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1941694423?\nAnswer: 17, 317, 360307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(16\/5 + -3 + 0). Suppose -3*s + 2*v - k = 0, -2*v + 4 = -2*s - 0*v. Let x = 94 + -92. Which is the closest to 0.14? (a) x (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 164 + 82 - 2455*z**2.\nAnswer: -2455*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6\/11, 3, 38847\/2, 0.1, 5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = 1394*j - 1476*j. Suppose 0 = -5*n - 0 + 50. Let i be 44\/n - 2\/5. Solve j*c = -v - 8, -i*c = -0*c + 3*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35507 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5*y + 16 + 19, 3*y = -4*h + 32. Sort -23, -1, -4, h in ascending order.\nAnswer: -23, -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 193545 = 193675. Let k = 13 + -7. Calculate the remainder when n is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**1)\/(j\/(j\/(j**(-3\/7)\/j)*j)))**(34\/5) assuming j is positive.\nAnswer: j**(816\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 44 = -26. Let r be (2*8\/f)\/(-2). Let n = -0.024 - 2.976. Which is the smallest value? (a) r (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + 3*v**2 + 2*v**2 + (0 + 2 + 0)*(v**2 + 5*v**2 - v**2).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/17, 179, -2\/9, -3\/7?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13151027.42635565895129 + -26.17635564895129. Let v = y + -13151001. Let n = -0.25 + v. What is n rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -898 + 894. List the prime factors of o*(-5 - 2990\/8).\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4506, -17992, -40468, -71934?\n\"Answer: -4495*b**2 - b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 6*r**2 + 3*r + 2. Suppose -21 = -0*x - 3*x. Calculate the remainder when n(-5) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 11. Let d be p(8). Let w be -1 + d\/(30\/8). Suppose -5\/3*l + 2\/3 + 4\/3*l**2 - w*l**3 = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212472809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3097588 is divided by 4855?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-90))\/1)\/(17\/68)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2076 and -13\/6?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158884 is divided by 25388.\nAnswer: 6556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1002 by 1548.\nAnswer: 167\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*m**5 + 2459*m**4 - 4*m**3 - m**2 + 2091*m + 16?\nAnswer: -1320*m**2 + 59016*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -25, -23, -21, -19, -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 r when four letters picked without replacement from rreegkgreg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 904658638 a multiple of 1039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -841316, -841371, -841460, -841583, -841740?\nAnswer: -841931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -888071100 divided by -84.\nAnswer: 10572275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b + 8. Suppose -b*h + 6*h = 0. Suppose h = 4*x + 27 - 83. Calculate the remainder when 25 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 30*m + 14. Give p(-4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3669 - 6879 = -148*i + 5354 + 2092 for i.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 9*w + 3. Let a be t(-9). Solve -3*n = 6, -d + a*d + 6 = 2*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 5*p + 20. Let f be 0 + -21 + (-118 + -8)\/(-18). What is the common denominator of 0 + -2 + p\/f and -25\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 3\/11 (c) 3 (d) 18\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.3 and -4.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*d = 27 - 5, -19 = u - 3*d. Let g be 6\/(-4)*(-1 - 3). Let o = g + u. What is the lowest common multiple of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 2*m + 5. Let w(k) = -k**2 + 24*k - 88. Let o be w(20). Let i(x) = 6*x**2 + 5*x + 14. Calculate o*c(f) + 3*i(f).\nAnswer: 2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17641076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*q + 115*q + 638*q + (0*q - q + 2*q)*(-1 + 2 + 1) + 4*q - 1 + 1.\nAnswer: 691*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10816 = -3*r + 4*r, 4*r = 0. Is (-37)\/(-185) - l\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.995 rounded to 2 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -6*h + h + k, -5*k + 213 = 4*h. Let s = h + 34. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-1 - -3) - -4. Suppose d + 3 - 1 = -f, 16 = -m*d. Let g(t) = -2*t - 5*t**2 + 3 - 4*t**2 - t**3 + 13*t**f - t**2. Determine g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -722, -3432, -8006, -14438, -22722, -32852?\n\"Answer: p**3 - 938*p**2 + 97*p + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 8:25 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 23 = 9 - 10. Put -10, 3, -53, i in decreasing order.\nAnswer: i, 3, -10, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57715.67 and -3.\nAnswer: 173147.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 20. What is the derivative of -n - 5*j**3 + 5*j**3 - j**3 wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623612*j + 4 - 4 + 623609*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 528 = 4*m, u - m - 388 = 4*u. Let a = -70 - u. What is the smallest common multiple of a\/4 - (-7)\/(-14) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -98.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u\/((u*u*u*u\/u**(-2))\/u))\/(u**6*u**(1\/3)\/u) assuming u is positive.\nAnswer: u**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.28 - 14.32956. Round c to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 2a?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c8c533 + 3?\nAnswer: c8c536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 694*z + 45 = 695*z - 1590. What are the prime factors of z?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2142854 divided by -4\nAnswer: -1071427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1110100?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*s - 28*s + 8192. What is the remainder when 150 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 114881 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12436 + 6344. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.056\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 15*x**2 + 6*x - 3. Let j be l(9). Let a = j + -605. Round a to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fifffiiifi. Give prob of picking 3 f and 1 i.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 4 - 22. Suppose -4*x - 8 = 2*y + 2, -x = l*y + 15. Solve -2*d = b + 4*b - 5, 5*b - 2*d - 25 = x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Suppose t*n - 10 = 5. Solve -4*y = -3*y - n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -49, -117, -213?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-45))\/((-15)\/(-100))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 20 = -4*k, -3*z + 5*z - k = 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z + 210. Let s be r(16). Suppose 2*l = p + 2 - 20, -2*p = -l - 39. Suppose 2*n + 3*n - p = 0. Solve k - 1 = 2*a - s, 4*k = 5*a - n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 26*y + 21 - 6*y - 126. Let q be k(6). Sort 1, 4, q, -5 in decreasing order.\nAnswer: q, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -207, -217, -241, -285, -355, -457, -597, -781?\n\"Answer: -h**3 - h**2 - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/13968 and -29\/1008?\nAnswer: 97776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 5. Let g = -20 + 13. Let k be 16\/56 - 19\/g. Let r(f) = -f**2 + 1. Calculate k*r(w) + z(w).\nAnswer: -w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(-39))**44\/((h**(1\/4))**41)**(-9) assuming h is positive.\nAnswer: h**(-13359\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -15. Which is the nearest to 0.4? (a) 0.5 (b) -2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/6041 and 7\/495?\nAnswer: 2990295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12077 equal to -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -46.3, -23, 2\/311, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.087888 rounded to 2 decimal places?\nAnswer: -3.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 25*c = 4. Let v be (-132)\/c*(-3)\/(-6). What is the greatest common divisor of v and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.185790054 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amma when four letters picked without replacement from {o: 1, t: 6, a: 2, m: 9}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) + 3\/6. Find u, given that -4*u - 2*u**4 + 8*u**3 + 8*u - 10*u**2 + t*u = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-85)\/(-765) - -49*4\/18. Let t be (-6)\/j - (-2548)\/(-572). Let z(h) = h. Calculate z(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 299508838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -21*a**4 + 457293*a**3 + 3267813*a**2 - 7907421*a + 4182336 = 0?\nAnswer: -64\/7, 1, 21783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36595982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 9*o + 5. Let i be u(8). Let s be -21*i\/9*-10. Calculate the remainder when 27 is divided by s\/4*(-56)\/70.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*y**4 + 7*y**4 - 3*y**2 + 9*y**2 wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23501266 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 3)\/((-2)\/2). Let r(p) = p**2 + 3*p - 2. Let f be r(y). Let m = 24 + -36. Is m less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-292 - -304) + 5 + 1 + (-85 - -3)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 58, 78, 78, 52, -6, -102, -242?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324945 is divided by 2826?\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 3143129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -170289 and -170290 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**19)**8\/(l**(6\/11)*l*l)**(-13\/4) assuming l is positive.\nAnswer: l**(1763\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 5 - (-11 - -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*i - 108 = 22, 3*x + 76 = -i. Let v = 47 + x. What is the least common multiple of 8 and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - v + 1. Let c(w) = 24*w**2 + 40*w - 36. Let t(x) = -2*c(x) - 72*g(x). Find the second derivative of t(u) wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - 70?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/17 + 802*h**3\/17 + 102394*h**2\/17 + 3991190*h\/17 - 8398404\/17 = 0. What is h?\nAnswer: -161, -81, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -50*y**7\/21 - y**4\/4 - 4*y**3\/3 - 20*y**2 + 466*y. What is the second derivative of n(u) wrt u?\nAnswer: -2000*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215 (base 10) to base 2.\nAnswer: 11010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -42, -1, 13, 4, 10 in increasing order.\nAnswer: -42, -2, -1, 3, 4, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 392132661 to the power of 1\/2, to the nearest integer?\nAnswer: 19802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**2 - 2*z + 3. Let u be t(1). Suppose 2*n - u = -2. Is (-29 - (n + -5))*-4 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 - -0.2. Let d = -221.7 + 222.7. Let n = -5.1 - -5.2. Sort m, 1\/2, d, n in decreasing order.\nAnswer: d, 1\/2, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 6*o - 500 - 508. Solve 10*j = -8*j - o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*i + 6282 = -201*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -744608120*x**4 + 1027107715*x**2 wrt x?\nAnswer: -17870594880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-22)\/(-33))\/(9\/(-6))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 376, 1378, 3366, 6676, 11644?\n\"Answer: 56*p**3 - 11*p**2 - 7*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 - 180. Let d = 0.4 + -4.4. Let f = d + v. Which is the biggest value? (a) -0.3 (b) -2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1493.5 * 0.5573.\nAnswer: -832.32755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.1 + -11.1. What is the third biggest value in x, -1, -5, -1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98138*x**5 + 8*x**3 - 195*x**2 + 166101589*x wrt x?\nAnswer: -1962760*x**3 + 48*x - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2470, 4819, 7168, 9517, 11866, 14215?\nAnswer: 16564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpdwzdam. What is prob of sequence zdp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2. Let y(p) = -3161*p - 619 + 3160*p - 473. Give y(i(f)).\nAnswer: f**2 - 1092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 8:33 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpo when three letters picked without replacement from {p: 1, a: 1, o: 1, r: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/(2\/10). Let a = 0.19 + -0.2. Let x = 0.09 - a. Put 4, x, v in ascending order.\nAnswer: v, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l - 33. Suppose 0 = 4*h + 20, 2*t - 4*h - 27 = 17. Let r be o(t). Solve -2*v = -3*c + 10, 4*c - 10 = 2*v + r*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 1\/8 (c) -2 (d) -3 (e) 3 (f) -0.58 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 15) to base 14.\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 947965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:13 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -30621*h + 428708. Give i(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 2)*(4 - 2 - 4)*(h**5 + 1 - 1).\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 11:55 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/20*(-32)\/2. Let t be (-4)\/(-10)*p\/(-3). Let r = -373 + 378. What is the third biggest value in t, r, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153802990 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138402 and 7163818?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11 + (-3 - (-1 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + l + 723. Suppose -1311 = -5*f - l. Let s = f - 150. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196526199*z**2 - 119326195*z wrt z.\nAnswer: 393052398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192 - -199) + 4 + -11 + -3 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.069.\nAnswer: 0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-97 - -63) + 2 - 3\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -262462 (base 10) to base 3\nAnswer: -111100000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30068039?\nAnswer: 30068039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/6 and -19\/3693.\nAnswer: 7386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8128*j**2*t**2 - 2*j**2*t + 39*j**2 + 1554737*j*t + 2*t**2 wrt j?\nAnswer: 16256*t**2 - 4*t + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 + 688*d**2 - 3.\nAnswer: 688*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 4. Let o be p(-5). Let i = -9 + o. Let k(c) = -c**3 - 10*c**2 - 3*c - 18. What is the units digit of k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nob when three letters picked without replacement from {n: 2, b: 2, o: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwrwrrwrh. Give prob of sequence wwhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*z + 202, z - 2*z - 5*t + 60 = 0. Let s be (-4)\/(-10) + (-20)\/z. Suppose 4*w = 3*d - 8, 5*w + s*d = d + 1. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/18)\/(27\/81)*0. Solve -l - 2 = y, 23 - 15 = 2*m - 2*l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3760000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/9233609 and 68\/1176637?\nAnswer: 544782931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 23*y - 111. Let r be u(-16). Solve -26 = 5*q - r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22513700 * -0.01\nAnswer: -225137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58907.\nAnswer: 58907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4 - 31*x**3 - 33*x**3 + 7*x - 31*x**3 - 5*x**2 + 94*x**3. Give m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2614458 - 2614458 + 104*p.\nAnswer: 104*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2051105360 to the nearest 100000.\nAnswer: -2051100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2112 is divided by 279?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:03 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.04887?\nAnswer: 0.024435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 - -111. Let u(f) = -f**2 + 10*f - 1. Calculate u(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 967139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1262 (base 10) in base 16?\nAnswer: -4ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 8 = 12*w. Let x be 5*(3 + -1)*w\/(-4). Factor 0 + 2*g**4 + 4*g**2 + 1\/3*g**x + 13\/3*g**3 + 4\/3*g.\nAnswer: g*(g + 1)**2*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e + 214?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448 and 112.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -3*t. Let d be (2 + 0)\/(2\/t). Suppose d*m + 13 = b, b = 2*m + m + 12. Calculate the smallest common multiple of 10 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512824.\nAnswer: 2, 13, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 22 - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-57 - -86 - 18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12025 - 8?\nAnswer: -12030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 179472*q - 1 - 58625*q + 149455*q.\nAnswer: 270302*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3*n + 6*n)*(77 - 77 - 13*n) - n**2 + 2 - 2 + (5 - 2 - 1)*(n**2 + 0*n**2 + n**2) - 2*n**2 + 8*n**2 + n**2.\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*n - 204. Calculate the greatest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 194688 and -1.\nAnswer: 194687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -11 + (0 + 4 - -9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(208) - ((sqrt(208)*3 - sqrt(208)) + 2)) + sqrt(208))**2 + (1*sqrt(208) + 3 + 0 + (sqrt(208) - (sqrt(208) + 0)))**2.\nAnswer: 24*sqrt(13) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 12:49 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2542 - 0.4.\nAnswer: -0.6542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k**2 - 36*k + 145. Let u be o(4). What is the second biggest value in 4, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2103 and -0.3?\nAnswer: 630.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/11923 or 1?\nAnswer: -6\/11923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/(243765\/(-1895950))\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*8\/180)\/(12\/(-1890)*-18).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/4)\/(-5)*4. Let k = u - -27. What is the tens digit of (6\/4 - 1)*k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 3. Suppose 2*l + 57 = -2*l + k, -k + 5 = 0. Let f = l - -10. Let q be (f\/6)\/((-1)\/(-10)). Determine m(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/42 + (-68)\/(-3). Solve -c*z - 66 = 110 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -37. Solve 3*t - 19 = -t - 3*u, 5*t - 5*u - q = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from jjnjjnjnjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/60)\/(4\/10)*(-4)\/(-48)*414\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 45*p**2 - 25*p**2 - 19*p**2. Let f = -66 + 77. Let n(w) = -6*w**2 + f*w**2 - 42*w**2 - 25*w**2. Calculate n(g(u)).\nAnswer: -62*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 + -185.2. Let s = f - -187.688. What is s rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1436 (base 11) to base 7\nAnswer: -5256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a + 0*a)*(2 - 1 - 4)*((0 + 1 + 1)*(1 + 3 - 5) + (-2 + 2 - 1)*(-4 - 3 + 2)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2796 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -0.5. Let p = -8.5 - w. Let t be (1\/(25\/(-20)))\/(1\/((-10)\/(-12))). Sort p, 1\/3, t.\nAnswer: p, t, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 25*l + 4. Suppose 0 = 4*s - 5*g - 21, 3*g = -4*s - 8 + 21. What are the prime factors of b(s)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + o - 201 = 0, 3*l - 121 = -4*o + 3*o. Suppose q - l = 2*g + 5*q, 2*q - 50 = 4*g. Let b = 49 + -48. Is b at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/6*12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2886752043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**5\/60 + 7*z**4\/24 - 2*z**3\/3 + 5*z**2 - 2*z. Let b(y) be the first derivative of c(y). Determine b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 18 = -3*f - 2, -20 = 4*k - 2*f. Let h = -185 + 124. Let n = k - h. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 12 - (7 - 1)) + -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (288\/27)\/(1\/3). What is the highest common divisor of d and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 13*i**2 - 17*i - 40. Let z be t(-14). Solve 4*o - 2 = z*f, 3*o - 11 - 1 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22604*i**3 + 31*i + 51?\nAnswer: -135624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -7. Let q be ((-3)\/2)\/(2\/c). Let b be 186\/9 + (-3)\/q. What is the greatest common divisor of 105 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*i + 64*i**2 + 0 - 61*i**2 to the form a*i**2 + p + x*i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73710 divided by -81?\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a968 (base 11) in base 7?\nAnswer: 1055451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 6716356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + m - 1. Let g(d) = -3*d. Let j be g(-1). Let u(x) = -5*x**2 - 3*x - 2 + 3*x**2 + 6. Let b(q) = j*s(q) + u(q). What is b(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*g + 82*g = -4*y + 36, 0 = 5*y - 2*g - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1902673 is divided by 2212?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/21 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.7 + 6.3. Which is the biggest value? (a) k (b) 5 (c) 0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m - 1. Let d(p) = 4*p + 5. Let g(t) = -2*t - 3. Let v(h) = -3*d(h) - 5*g(h). What is -2*a(u) + 9*v(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2171*h - 11 - 1213 = -2222*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (194\/(-5))\/((-5)\/4*87\/((-156600)\/(-576))).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159338468 divided by -39834617?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 45*z = -41*z - 16, -2*z - 6 = -3*m. Solve 3*x - 6 - 6 = 0, 2*v - 3*x + m = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 6*t + 10 = -5*x, -9 = 3*x - 3*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37049 is divided by 207?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3 - 12*k**2 + 1722*k - 10780 = 0.\nAnswer: -35, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -49 - 49 - -27\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78867 is divided by 696?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.335924 decades to months.\nAnswer: 280.31088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + 1 + -7 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3240\/9*212\/(-1908)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 703*k. Let o(z) = -18953*z. Calculate h(o(b)).\nAnswer: -13323959*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042119971 to four decimal places.\nAnswer: -0.0421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -a8837?\nAnswer: -a883c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*a - 4, 5 = 4*a + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + 5*1*sqrt(539) + 1)*-5)**2.\nAnswer: 3031875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/2 - (-5)\/10. Let r be ((32 - 0)\/(-4))\/c. Solve 3*y = r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15*u**2 + 2. Let c(d) be the first derivative of -d**3\/3 - 145. Give n(c(y)).\nAnswer: 15*y**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y + 58 = -82 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 388870 and 14726.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -662\/7. Put -0.66, 5, q, 3 in ascending order.\nAnswer: -0.66, q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*4\/(-16))\/((-34)\/(2244\/(-3597))).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80693900 and 238.\nAnswer: 80693900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-34)\/(-935))\/5.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -7 - 11. Let a(t) be the second derivative of t**5\/20 - 5*t**4\/12 - 5*t**3\/6 - t**2 - 2652*t. Give a(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118830539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 21 = n - 3*c, -3*n - 48 = -3*c. Let i be n\/((-26)\/(-12)) - -3. Let m be ((-4)\/i)\/((-2)\/(-1)). What is the smallest value in -0.5, m, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 920 or 992?\nAnswer: 920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/(((-1352)\/(-39))\/8)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -3*x - 8, 13 = -5*x + m. Let u be 3 + 3\/(-2)*158\/x. Let h = 82 - u. Solve 3*z + 16 - 1 = h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -478.767 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + t**3 + 187*t + 181*t - 91*t.\nAnswer: t**3 + 277*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -129\/476633 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 34) + 15 + -21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 17*i**2 - 7*i - 8. What is the units digit of p(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 129, 164, 209, 252, 281, 284, 249?\n\"Answer: -2*b**3 + 17*b**2 - 2*b + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 48*t - 68. Let j be l(2). Sort 5, -1, j in increasing order.\nAnswer: -1, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 + 466 = -168*u + 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3941857296?\nAnswer: 2, 3, 13, 2105693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 252 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - -42. Let w = -1 + 1. Suppose i + 4*i - 105 = w. Calculate the greatest common factor of i and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 557 + -491 - (-7 - -91)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edho when four letters picked without replacement from {h: 2, e: 3, o: 1, d: 1, x: 5, b: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15853574.\nAnswer: 2, 11, 720617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-18)*(-552)\/(-2). Let n = -2620\/19 + w. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19633, -78628, -176985, -314704?\nAnswer: -491785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = n + 13, 20 = -2*n - 2*n + 4*x. Let p(r) = r - 21730 + 21730 + r**2. Determine p(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(68)*-1 + -2 + (sqrt(68) + -4)*1) + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25004 and 32718.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 6*c**2 - c + 6. Let o be q(6). Let j = -582 + 587. Solve o*u + n + 9 = -4*u, 3*u + j*n = 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713606529 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: Let y = -31 - -125\/4. Let p = -3.91 - 0.09. Let f(m) = m**3 + 4*m**2 - 4*m + 5. Let c be f(-5). Put p, c, y in descending order.\nAnswer: y, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1477ff - -4e?\nAnswer: -1477b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93.2 - 85. Let a = d + -8. Are -4 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -186*z. Give g(-1).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.3. Let t = 26.6 + -27. Put 0, r, t in ascending order.\nAnswer: t, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(2*y + 3*y - 6*y) - 307*y - 113*y - 480*y + y + 0*y - 2 + 0 to the form b*y + s and give b.\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7*j - 321 = 0. Suppose -3*r + j = -61. Let h be -15 + -1 + 24 - 0. Calculate the greatest common divisor of h and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -4 (c) 4.7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2230134 and 954?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5857.4 and 883.5039.\nAnswer: 6740.9039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x - 1. What is the units digit of r(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -13, -65, -181, -385, -701?\n\"Answer: -4*a**3 + 4*a**2 + 4*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001320025 rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70170436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 17*b**2 - 34*b - 42. Determine x(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = g + 6*g. Which is smaller: 21\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m**2 + 6 - 2*m**3 - 5 + m**3 to k*m**2 + c*m + g + h*m**3 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b**3\/2 + 65*b**2\/3 - 380*b\/3 - 160\/3 = 0. What is b?\nAnswer: -4, -2\/5, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/13)*c*(c\/((c\/((c\/c**(2\/7)*c)\/c)*c)\/c))\/c*c)\/((c\/((c\/(c**(-1\/5)*c)*c)\/c))\/(c**(-1\/4)*c))*(c**(-1)*c**9)**(-17) assuming c is positive.\nAnswer: c**(-244771\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -16aa?\nAnswer: -16a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 68 = -5*x + a, x - 2748*a + 2752*a = 201 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 0 = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 178, 326, 514, 742, 1010?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 70.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + 1.64. Let z = 2.54 + -2.24. Let d = g + z. Is 5 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25141.\nAnswer: 31, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 10 = 29*b, -4*b = x - 13. Calculate the greatest common factor of x and 640.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*p + 8, -4*d = -5 - 15. Let n(m) = m**2 - 3*m + 3. List the prime factors of n(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 22*j**2 - 3*j + 7. List the prime factors of s(2).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5731 rounded to two decimal places?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhlhrhlhhkrhxkxh. What is prob of picking 2 l and 1 k?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b + 2. Suppose -8 = 2*q + 2*q. Let a be c(q). Let r = a - 3. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 42. Let b = 14 - -3. Let h = y - b. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 4:01 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(24\/(-4)*2\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = 4*z - 121, -2*z - u + 61 = 0. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1297.8 + -1298.1. Which is the second biggest value? (a) -0.4 (b) 0.42 (c) o (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54072206 + 54072206.535002952. Let x = 0.535 - h. Round x to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/24*(-18)\/30.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(27\/5))\/s**14*(s\/s**(-3\/11))\/(s\/((s*s\/s**(1\/6))\/s)) assuming s is positive.\nAnswer: s**(-5707\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26590 by 5.\nAnswer: 5318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, t: 7, z: 4}. What is prob of picking 1 z, 1 t, and 1 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3433 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10943113507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1189483703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205692 and 1712133?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y. Let u be h(-5). Suppose 0 = -5*a - l + 13, 3*a - 3*l - u = -0*l. Suppose 9 = a*t + 3*x - 27, 2*t + x - 22 = 0. Solve 0 = -3*r - 2*r + t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.7 - 6. Let d = h + 1.7. Let w = -14 - d. Which is the closest to -1? (a) -0.01 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*u + 7, -14 = -4*q + 2*u - 7*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122801, 491192, 1105175, 1964750?\nAnswer: 3069917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 6. Suppose 2*n = -1 + y. Find the third derivative of -6*w**2 + 2*w**2 - 5*w**2 + 8*w**n wrt w.\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*q**3 + 660*q**2 - 2736*q + 1728 = 0. What is q?\nAnswer: -4, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3906 divide 2825810360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8489 * 2\nAnswer: -16978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*v = 3*v + 14, v - 12 = -2*a. Suppose 0 = -5*u - 15, 2*c + u - 37 = -2*c. Solve -a*p = -3*p - c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90009672.9 to the nearest 100000.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 12*z**2 + 11*z. Let n(v) = v**2 - 2*v - 4. Let s be n(-3). Let p be m(s). Solve 3*q + p*r = -r + 9, -4*q + r = -5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 1 - 1 + 3 + 2*c - 3 + (2 + 1 - 2)*(-2*c + 0*c + c) + (-4 - 41*c + 22*c + 17*c)*(50 - 49 - 36).\nAnswer: 69*c + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -6*y + 4*t, 7*y - 5*t + 283 = 4*y + 293 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*p = 20, 2*p - 31 = -4*n - 1. Suppose n*w - 3*z + 1 = 0, 0*z + 10 = w - 4*z. Which is the second smallest value? (a) w (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -10, -98, -274, -568, -1010, -1630, -2458?\nAnswer: -3524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 - 12 - 66)*2\/((-4)\/106)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2156*w + 6472. Give i(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33908\/(-1211)*16\/(-14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 828498, 828502, 828508, 828516, 828526, 828538?\nAnswer: 828552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*h**3 + 90*h - 298*h + 72*h + 136*h.\nAnswer: 76*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 2*g**2 + 4*g - 2. Let p be d(2). What is the highest common divisor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s + 144. Suppose 2*z - 2*w = -24, -4*z - 4*w - s = -0*z. Let v be (12\/z)\/(8\/(-140)). Solve 0 = 2*a + v - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*s**2*u**2 - s**2 - 68*s*u**2 - 232 wrt u.\nAnswer: 8*s**2*u - 136*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h = 24 + 48. Suppose -2*w = -6*w + 52. Solve 3*d = d + 2*q - 4, q + w = -h*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 16.1, 0.07, 0.4, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 138*f - 54 + 1828*f - 172*f.\nAnswer: 1518*f - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1186102 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(1\/3))**25*s**(-1\/11)*s*s*s\/(s*s\/((s*s**(-4\/3))\/s))*((s**(1\/2)*s)\/(s**3*s))\/(s\/(s*s*s*(s**0*s)\/s*s*s*s)*s*s*s)**(-37) assuming s is positive.\nAnswer: s**(-409\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3784\/18 - (-4)\/(-18). Let u = 215 - z. Suppose -4*t + 8 = -8. What is the least common multiple of u and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*d)*((2 + 2 + 2)*(3 + 3 - 5) + 3 + 2 - 3).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 6*d**2 + d - 3. Let p = -228 - -232. Suppose -p*g = j + 11 + 14, j + g = -10. What is a(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*(-10)\/70*(-252)\/54*(-24)\/32?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(2\/15)*m)*m*m)\/(m*m*m**(-16)))\/((m**(-23\/4)\/m)\/(m*m\/(m**37\/m)*m)))**48 assuming m is positive.\nAnswer: m**(-2492\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3477 or 3476?\nAnswer: 3477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.8+38\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 67*o**2 + 72*o**2 - 141*o**2 + 4*o**4 + 4*o**4 + 1 as p*o**3 + x + r*o**4 + t*o**2 + z*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*h**3 + 179*h**3 + 180*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 20, -23\/2 in decreasing order.\nAnswer: 20, -0.5, -23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 1\/10 (c) -1.8839\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a. Let u be m(-1). Suppose 0 = -0*j + u*j - 1652. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 28*x**2 - 7*x**2 + 1 - 5 - 5 as o*x + k + a*x**2 and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -956*k - 955*k + 1912*k. Let f(v) = 178*v. Determine r(f(i)).\nAnswer: 178*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*o = j - 95, 5*o - 75 = -5*j. Let z(k) = -k**3 + 7*k**2 + 8*k + 10. What is the smallest common multiple of z(8) and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60762, -60729, -60684, -60627, -60558?\n\"Answer: 6*i**2 + 15*i - 60783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9371, 9377, 9383, 9389?\n\"Answer: 6*n + 9365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 459829 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -f - 4*f. Let l be (1 - 1) + (1 - f). Factor -4*o - 9*o**3 - 6*o**2 - 3*o**l - 5*o**2 - o**3.\nAnswer: -2*o*(o + 1)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 + (-13 + 1 - (-131 - -112)) + 100)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-496))\/(27\/18)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Suppose t = -4*r + 10, r - 1 = 4*t - 7. Suppose -k - 2*k - 5*u = 28, k - 2*u = -t. Determine o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 6*g = -10. What is the remainder when 23 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -106 - 2032042?\nAnswer: -2032150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*p - 7215, -3*p - 2*k = 2081 - 7498. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 821? (a) 0.6 (b) 76\/3 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-5)\/(-80)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321101133 - 1?\nAnswer: -1321101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(288)*4.\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 + 7228073?\nAnswer: 7227905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*24\/30\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 12. Let d(n) = 3*n**3 + 2*n**2 - 2*n - 46. Calculate d(m) + 4*w(m).\nAnswer: 3*m**3 + 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2064082\/85 + 24283. Let s be 1\/(-2) - 13\/(-34). Let q = i - s. Is q greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1788 or 1787?\nAnswer: 1788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-14)*280\/180?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 3. Let x = 280.5 + -281.5. Sort 3, g, -2\/13, x in decreasing order.\nAnswer: 3, -2\/13, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 1895 + -1959?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18941277 > -18941277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*h - 351. Let o = -234 + h. Calculate the highest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -56. Is w\/(-4)*(115\/(-2) + -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-102))\/((-3)\/(-6)). Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3548, 6997, 10446?\n\"Answer: 3449*f + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, q: 5}. Give prob of sequence dqqd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 - 2*p. Let m be q(2). Suppose m*a = 5*a. Suppose u + u - 14 = a. Solve u*t = 3*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 4120455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 8. Let w be x(6). Suppose -w = a - 3*a. Suppose -13 = -n + a*b + b, -29 = -3*n - b. What is the remainder when 28 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 - 4*f + 5. What is the tens digit of y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (14\/10)\/(14\/(-70)). Solve -r*j + 18*j = -28 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3005 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3384229 times -17?\nAnswer: -57531893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -44. Determine p, given that 6*p**2 - 63*p**4 + 7*p**4 - 2*p**r + 2*p**3 = 0.\nAnswer: -1\/4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 6. Let s be p(-6). Let r be s\/(-30) - (-4254)\/10. Suppose r = -g + 6*g. What is the highest common divisor of g and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1334, -1364, -1380, -1376, -1346, -1284, -1184, -1040?\n\"Answer: l**3 + l**2 - 40*l - 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 12:11 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1538 times -1141901\nAnswer: -1756243738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 551?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuucccgucc. Give prob of sequence cgi.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 148*b - 15 = 147*b, 0 = -4*u - 3*b + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/9 + 20*m**4\/9 - 575*m**3\/9 - 4750*m**2\/9 + 137500*m\/9 - 625000\/9.\nAnswer: (m - 10)**3*(m + 25)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (384\/144)\/(((-1)\/((-105)\/(-14)))\/((-11)\/(-55)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - h**2 + 9*h**2)*(0*h**2 + 0*h**2 - h**3 + (-h + h + 2*h**2)*(3*h - h + 0*h)) + (-1 + 2*h + 1)*(h**4 - 3 + 3) + 2*h - 2*h + 2*h**5.\nAnswer: 22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**16*n)\/n)*n*n*n)\/n**(-2\/21)*(n*n*n**(-4))**(1\/6))**(-33) assuming n is positive.\nAnswer: n**(3058\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -4, 1.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2277*c + 183. What are the prime factors of y(-3)?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61\/78 + 3\/26. Let l = 277 + -276.817. Let p = -2.817 - l. Sort p, n, -1\/4 in decreasing order.\nAnswer: -1\/4, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + l + 4. Let j(s) = -15*s**2 - 7*s - 22. Let a(v) = -j(v) - 6*x(v). Determine a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -152. Is ((-4)\/m)\/(6\/17853) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145 - 150.5. Let r = 8.44 + w. Round r to one dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -2 + -4 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 129?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104051 and 1206?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 880799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8)*2 + (-280)\/(-80). Suppose 2*u + 8 = v*s, 4*s = u - 2 + 8. Let l be (0\/u)\/3 - -4. Solve 5 = 3*b - l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20401.634 rounded to the nearest 100?\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20792 and 311880?\nAnswer: 311880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 2 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4264426.00601 - 4264129. Let a = w + -297. Round a to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 73694, 147386, 221078?\n\"Answer: 73692*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 71, 96, 127?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5483 and 11?\nAnswer: 60313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/5 - 16783708*k + 83918542\/5 = 0. What is k?\nAnswer: -41959271, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkbb when four letters picked without replacement from kbbkyybybkk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/41, -54, -183.\nAnswer: -183, -54, 2\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253 by -108.\nAnswer: -253\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -236065 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**14)\/l**12*l**(-13)\/(l*l**15))**(-49) assuming l is positive.\nAnswer: l**2597","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9234\/324*(-52)\/(-3) is divided by 166?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34331 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiff when four letters picked without replacement from {f: 9, i: 5}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.39782 rounded to 1 dp?\nAnswer: 293.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, s: 2, k: 7}. What is prob of sequence sps?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 16*i**2 + 1688 - 3369 + 1681 - 10*i**2.\nAnswer: -23*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vthhr. What is prob of sequence vth?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100584961?\nAnswer: 83, 409, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2537989912 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114746, -229508, -344272, -459038, -573806, -688576, -803348?\nAnswer: -918122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpo when three letters picked without replacement from {o: 4, p: 3, h: 6}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 14*o**2 + 4*o + 55. Let h be 70\/(-60)*(10 + 2). What is j(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -161, 2, -1 in decreasing order.\nAnswer: 2, -1, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1633248 divided by -1712?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(6\/(-96)*-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 1.9093.\nAnswer: -2.4093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c + 2*y + 32, -4*c - y = -26. Let z(n) be the first derivative of -n**2 - 9*n - 4. Let w be z(-7). Are w and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuu when three letters picked without replacement from {j: 4, c: 2, u: 10}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742 - 451 - 2*a - 381 + 5*a.\nAnswer: 3*a - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(3\/7)\/k)\/k))**(3\/2) assuming k is positive.\nAnswer: k**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - 0.155.\nAnswer: 8.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45855 - 4402163\/96. What is the common denominator of z and 91\/132?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2617*x**2 - 834*x**2 + 1030*x**2.\nAnswer: 2813*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*l + 79*l = 45 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -50. Let r(m) = -m**3 + 9*m**2 + 10*m - 8. Give r(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/49022470 and 11\/580.\nAnswer: 98044940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 592 - 590. Factor -7\/5*l**h + 0 - 2\/5*l.\nAnswer: -l*(7*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 12:52 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 1. Let p be b(1). Solve 0 = k - 4 + p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118.34148 to 2 decimal places.\nAnswer: 118.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3613 or 3610?\nAnswer: 3613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.9 - 24. Let c = 0.9 - h. Let f be ((-60)\/200)\/(17 + (-2094)\/120). Put c, -2\/11, f in decreasing order.\nAnswer: c, f, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 10*p + 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -323, -723, -1283, -2003?\nAnswer: -2883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.7, -0.3, -1, -2, 2\/7.\nAnswer: -4.7, -2, -1, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -13*s - 36. Suppose -299 = 5*o - s*o. Let j(z) = -3*z - 18. Let b be j(-6). Sort b, o, 3 in descending order.\nAnswer: o, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**4 - 24777*q**3 - 9*q**2 + 74337*q - 49554 = 0?\nAnswer: -2, 1, 8259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 26899 - 26788 - (142 + 1)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -1)\/(1\/(-4)). Determine g so that g + y*g**4 - 3 + 4*g**2 + 12*g**3 - 5 - 13*g = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*c**4 + 64*c**4 + 65*c**4 + 3*c**3 - 12 - 260*c**4 + 65*c**4 to k + v*c + y*c**3 + p*c**2 + f*c**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5549 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k. Let a(s) = -s**2 - 44*s**2 + 19*s**2 + 122*s**2. Give p(a(l)).\nAnswer: 288*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 825 (base 13) to base 2\nAnswer: 10101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373057 divided by 11.\nAnswer: -373057\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (57 + -43 + -32 + -2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-219)\/1606 - (-1965)\/(-110)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*u**3 - 9*u**3 + 0*u**4 + 33*u**3 + 2*u**4 + 6*u**3 + 238*u wrt u?\nAnswer: 24*u**2 + 534*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*w**2 - 39\/4*w - 56 = 0. Calculate w.\nAnswer: -32, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119401709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 5*i + 0*i)*(2 - 2 + 5)*(0*i**3 + 0*i**3 + 2*i**3) + 141*i + 143*i - 2 + 14*i**3 - 281*i - 11*i**4.\nAnswer: -i**4 + 14*i**3 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:57 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*o - 8*d + 6*d, -8 = -2*d. Put o, 0.3, -0.03, 0.5 in decreasing order.\nAnswer: o, 0.5, 0.3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106641 (base 7) to base 11.\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiki when four letters picked without replacement from {k: 5, i: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.45503 micrometers to meters.\nAnswer: 0.00008145503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3076*n**2 - 11316 + 11316.\nAnswer: -3076*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -14. Let q = z - -23. Find the third derivative of 6*r**2 + 9*r**5 - q*r**2 + 3*r**2 wrt r.\nAnswer: 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1055 = -2*c, 5*c - 3228 = 5*z - 628. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/65 in -1\/6, -7.5, 1.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 4\/7 (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/9, -129\/5 in descending order.\nAnswer: 1\/9, -3, -129\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 - 21*j**4 - 120*j**3 - 132*j**2 = 0. Calculate j.\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b + 174. Let n = 90 + b. Suppose 5*g + 5*y - n*y - 6287 = 0, -3*g + y = -3781. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = u. Let m = 2 - 0. Sort m, u, -3.\nAnswer: u, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1208548900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 + 152. Solve -5*w - h = 0, 12 + 6 = -2*a - 5*w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-4) - (-39715)\/(-1690)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z - 1482 = 3*l, 4*l + 1484 = 3*z. What is the highest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.04, -0.3, -4, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -162*l + 843. What is the hundreds digit of i(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73.88107*5\nAnswer: 369.40535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {j: 7, l: 12}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f*f*f**(1\/19)*f)*f)\/(f**25*f)*(f**6*f)**46)**(3\/32) assuming f is positive.\nAnswer: f**(8463\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + 0.05. Let l = -0.0603 + -4.9197. Let s = g - l. What is the second smallest value in 3, s, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**7\/7 + 265*g**4\/4 + 62*g**3 - 1386. What is the third derivative of q(u) wrt u?\nAnswer: 120*u**3 + 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -5*j - 86, -12347*j + 12347*j + 3 = -v for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 0.07 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 28, 457, -77 in increasing order.\nAnswer: -77, 2, 28, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**3\/7 + 22086*w**2\/7 - 910827*w\/7 - 1909974\/7 = 0.\nAnswer: -7403, -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**20)\/q)\/q**(-7\/3))\/(q\/(q*q**2*q*q)*q\/(((q\/(q**(-24)\/q))\/q)\/q)))**(-40\/3) assuming q is positive.\nAnswer: q**(-5920\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(0 + -1))\/((-3)\/(-4)). Let m be (-1)\/((14\/c)\/(-7)). Determine h so that -72*h - 2*h**m + 72*h + h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-1 - -36 - 84).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 + 7*t**2)*(-9*t**2 + 13 - 13) + (-2*t**3 - t**2 + t**2)*(3 - 2*t - 1 - 1).\nAnswer: -59*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181072098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4) - 819\/(-52). Solve 3*n + 2*n = -f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Suppose 1196*s + 480 = 1244*s. Solve -s = n*a - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/(-6) + 5 - (-10)\/(-36). Sort q, -0.15, 2\/7, 4 in decreasing order.\nAnswer: 4, 2\/7, q, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4653 - -41930\/9. Find the common denominator of p and -91\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -182, -523, -1104, -1985, -3226, -4887?\nAnswer: -7028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/10 and (-1146)\/268 - (1 - (13 - 7))?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4\/5, 3, 5.3, -0.08, -0.205, 6?\nAnswer: -0.205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30198019 bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/4 + (-78)\/(-8). Suppose -s + a = -3*p - 35, 3*p = -3*s + 84. What is the smallest common multiple of s and 11?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 2\/13 (c) 107 (d) 5 (e) -6\/7 (f) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 9) + 13 + -5 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.8 + -20.5. Which is the third biggest value? (a) 1\/2 (b) -2\/115 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y. Let m = 119 + -255. Let g = -132 - m. Solve -l + g*k - 14 = 0, 5*l + 5*k - 12 - 18 = y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 5, -1, 4, 32, -3987.\nAnswer: -3987, -4, -1, 3, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -176.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 1c?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015617623 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -226.7 - -21.7. Let n = -205.1 - v. Put -2\/5, n, -0.5, 3\/8 in decreasing order.\nAnswer: 3\/8, n, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*b**3 + 24*b**3 + 25*b**3 + 20*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + d**4 + 2*d**4)*(2 - 1 + 0) + 0*d**4 - 9*d**4 - 8*d**4.\nAnswer: -15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -520417117150 take away 667?\nAnswer: -520417117817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701)*1)\/(sqrt(48)*-4 - sqrt(48) - sqrt(48) - sqrt(48)) - ((sqrt(700) - (sqrt(700) + 0 - sqrt(700)))*-3 - (4 + 3*-1*sqrt(7))).\nAnswer: 4 + 747*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and 2.567299?\nAnswer: -51.34598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - (2 - (4 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/52780 and 123\/3770.\nAnswer: 52780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10)**(1\/4)\/(v**(2\/9)*v**(-2\/9)) assuming v is positive.\nAnswer: v**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozxz when four letters picked without replacement from {z: 2, o: 5, x: 8}?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1334691624?\nAnswer: 2, 3, 7, 17, 467329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/17 or 1?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 18956.364 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -49*t + 36. Let g(a) = -49*a + 35. Let h(d) = -3*g(d) + 2*p(d). What is the derivative of h(c) wrt c?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, -1.76, 78\/35, 14.\nAnswer: -1.76, 78\/35, 2.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 844, 859, 888, 937, 1012, 1119, 1264?\nAnswer: 1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*sqrt(468).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 8. Let t be (-1)\/((3\/5)\/n). Suppose 12 = -3*j - j, 2*w - 21 = t*j. Solve 3*m = 4*s - 1 - 2, w*m + 3 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -8\/7, -0.3, -1772, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-11) - (-228)\/44. Suppose 10 = -3*y + w*y. Let n = -25 + 31. Solve -y*u - n = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 139*f**3\/3 - f**2 - f - 31. What is the tens digit of n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44465 divided by 220\nAnswer: 8893\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*19872\/(-4176) - -175.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2695 divided by -245\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00046016 to 5 decimal places.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138572561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**5)\/(i\/(i**(-33)*i)))\/((i*i**22)\/i*i*i**(-2\/81)) assuming i is positive.\nAnswer: i**(-4048\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*u = 855*u - 4*p - 15, 5*u + 5*p + 50 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 29800.\nAnswer: -1\/2980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -1260*u**3 - 70265*u**2 + 16525*u + 280 = 0.\nAnswer: -56, -1\/63, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 3:36 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1665 is divided by 276.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1099 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 14. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 1. Let m be z(-7). Suppose -g - 35 = -m*g. Suppose g*j - 65 = 2*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -17*y - 14. Let t(o) = 8*o + 7. Suppose 24*z = -6961 + 6817. Determine z*r(b) - 13*t(b).\nAnswer: -2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 3*c**5\/20 + 11*c**4\/4 - 55*c**3\/3 - 57*c. What is the second derivative of d(k) wrt k?\nAnswer: 18*k + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w - 0*w, -3*w = 4*s + 5. Let n = 122.6 - 114.6. Put 1, s, n in increasing order.\nAnswer: s, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -1, 1, 4, 10 in decreasing order.\nAnswer: 10, 4, 1, -1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1124 - -1604. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1100) - sqrt(44))\/(sqrt(4) - (sqrt(4) - sqrt(4)*3*1)).\nAnswer: 19*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n - 26 = 209 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/10)\/((-2)\/5). Let q(n) = n**2 + 17*n + 91. Let o be q(-8). Suppose 18*a = o*a - t. Solve -2*y - a*l = 16, -4*y + 5*l + 2 = -2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**2 + 9*q + 42. Let j(h) = -52 - 4*h + 7*h**2 - 19*h**2 + 14*h**2 + 31. Determine 9*j(o) + 4*y(o).\nAnswer: 2*o**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v + 485. Let r(z) = 5*z - 975. Calculate -7*l(q) - 4*r(q).\nAnswer: q + 505","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -15 - -4 - -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - d + 16 = 0, -2*v - 3*v - 2*d = -17. Solve 0 = g + 3*p + 8, 3*p - 9 = v*g + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14988.2576 to the nearest 100.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -24 - 17 - 18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 6\/13 (b) -0.1 (c) 0.09 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*x**4 - 155*x**3 + 155*x**3 + (x**3 - x**2 + x**2)*((-2 + 1 - 1)*(-3*x - x + 2*x) - 13 - 12*x + 13) - 2*x**4 - 7*x**4 + 4*x**4.\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/353609 and 73\/74444.\nAnswer: 1414436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46079651, 46079652, 46079653, 46079654?\n\"Answer: t + 46079650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 18230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 greater than 25090\/549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(sqrt(18) + 2*sqrt(1458) + sqrt(1458))\/((sqrt(120)\/sqrt(4))\/sqrt(5))*2)**2*2.\nAnswer: 4064256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 - m**2 - m**2 - m**2 - m**2 + 4*m**2 + m - m - m**2 + (3 - 2*m - 3)*(-m - 2 + 2) + (0*m - m + 2*m)*(-347*m + 2102 - 2102).\nAnswer: -346*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65a217 - -7?\nAnswer: -65a210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 12*s**2 + 29*s + 14. Calculate r(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1434 = -75*p + 2484 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*o = 16 + 4, -z - 41 = 5*o - 14 - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11926 + 19535. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -6. Let o = -1835 + 1831. Put -1, f, o in decreasing order.\nAnswer: f, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -0.3.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1664 - -0.07308\nAnswer: 1664.07308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86615 - -1.\nAnswer: -86614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -47*r**4 + 2*r**2 - 6*r - 3. Let u(w) = -95*w**4 + 5*w**2 - 13*w - 6. Let y(h) = -13*c(h) + 6*u(h). What is the third derivative of y(n) wrt n?\nAnswer: 984*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 4, 5, -4.\nAnswer: -4, 4, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 245*l + 716 - 716 + (0 - 3*l + 0)*(5 - 2 + 0).\nAnswer: 236*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -474 + 706. What is the highest common divisor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00172130418 rounded to 6 dps?\nAnswer: 0.001721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 73*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15004112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 4*c - 26*c**2 + 22*c**2 - 3*c + (4*c**2 - 7*c**2 + 4*c**2)*(8 - 15 - 9).\nAnswer: -20*c**2 + c - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 126715720 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101100 (base 2) to base 9.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/216 and 103\/180.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, -4, -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -4\/3 (b) -1009 (c) 31\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2*f**5\/5 - 17*f**4\/8 + 8*f**3\/3 - 3*f**2\/4 + 110. Factor g(s).\nAnswer: s*(s - 3)*(s - 1)*(4*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -20*l + 24. Let v(n) = -3*n - 1. Let z(b) = -b**3 + 6*b**2 + 25*b + 17. Let h be z(9). Let p(c) = h*k(c) + 8*v(c). Calculate p(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 23*b + 1659. Let z be m(-68). Solve z - 101 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x. Let w(j) be the first derivative of -j**2\/2 + 44. Determine k(s) - 5*w(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -231, -268, -305?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1524 = 57*c + 157*c + 7944 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 7.8\nAnswer: -10.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150.8 - 151. What is the second smallest value in d, 0.25, 1?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/8 + (-4)\/16. Let z(m) = 10*m + 10. Let t(i) = -1 + i + 2 + 0*i. What is h*z(a) + 8*t(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2903 (base 10) in base 13?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -192, -12.\nAnswer: -192, -12, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2 (c) -2\/11 (d) -0.805\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*w = 4, -6*o + 16 = -3*o - 5*w. Let k = -4 + o. Suppose k*u + 265 = 8*u - 4*s, 5*s = -2*u + 73. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 6)*(-2399 + 7873 - 3262)*(-2*u - 3 + 3).\nAnswer: 22120*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 2:25 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*o + 33*o + 690 = 153*o - 116*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 15 = 35. Suppose -p + 4 = x*y - 20, -5*y = 4*p - 41. Solve -6 - 4 = -y*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -103175874?\nAnswer: 722231118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.017, -2, 0.16, -0.5 in descending order.\nAnswer: 0.16, -0.017, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113*q**2 - 17*q**3 - 25*q**2 + 50*q**3 - 135*q - 17*q**3 - 19*q**3.\nAnswer: -3*q*(q + 1)*(q + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/19 - (-1668)\/38. Let y = z - 11. What is the remainder when 64 is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**5\/20 - 7*x**4\/12 + 14*x**3\/3 - 5*x**2 + 61*x. Let d be l(-10). Calculate the highest common factor of d and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by 156?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2, x - 3*g - 13 = -5*g. Suppose x + 1 = 2*f. Let s(z) = 8*z**2 + f*z**2 + 2*z - z - 10*z**2. Determine s(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21797016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 10493.\nAnswer: 31479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(2\/31)\/(z\/z**0)**(3\/43) assuming z is positive.\nAnswer: z**(-143\/2666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1081.\nAnswer: -3\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x - 7*x + 0*x**3 + x**3. Let v(r) be the second derivative of 7*r**5\/20 - r**3 + 7*r. What is -6*o(h) + v(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((234\/715)\/6)\/(14\/85) and -18\/77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2639192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.015 * 65.\nAnswer: 0.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 bigger than 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/187 and -21\/11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3411696 days in seconds?\nAnswer: 29477.05344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.98 + 10.1. Let f = -0.12 + z. Let h = -6.4 - -6. Sort h, 1, f.\nAnswer: f, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsbbssbbbbb. Give prob of picking 2 s and 1 b.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 17*f**2 - 112*f - 1103. Determine p(-15).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3326334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2798 is divided by 95?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827 times 14316?\nAnswer: 26155332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1 + 321*k**3 + 0 - 165*k**3 - 155*k**3. Let j(m) = m**3 - 8*m**2 + 7*m - 2. Let v be j(7). Let z(d) = -5*d**3 + 2. Give v*z(b) - 4*f(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10801?\nAnswer: 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.8 + 4.26. Round s to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 3*f**2 - 2*f + 1. Suppose -4*c + 39 = 5*v, c = -v + 5*v - 27. Is s(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 809*o**6 + 48246*o**5 + 2*o**3 - 23183063*o**2 - 11*o wrt o?\nAnswer: 97080*o**3 + 2894760*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4157 and 161.\nAnswer: 160.5843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 61.\nAnswer: -64\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 7*l + 45. Let h be 105\/(-25)*(7 + l). Which is smaller: h or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143694 is divided by 2574.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 39 = 4*j, -n - 4 = 1. Let v = 4 + j. Let y(i) = -i**3 - 8*i**2 - 7*i + 8. What are the prime factors of y(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*s + 4 = -6*t, 3*t - 3*s = -18. What is the hundreds digit of ((-16)\/(-6))\/t*19683\/(-54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {o: 1, k: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**6\/24 - 89*t**4\/24 - 2891*t**3\/6 + 1929*t**2. What is the derivative of p(x) wrt x?\nAnswer: -15*x**2 - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g + 260. Let f(w) = 14*w**2 + w - 2. Let l be f(1). What is the greatest common factor of l and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4069455810 to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5098797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1131 - 152?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53557, -215044, -484185, -860974, -1345405, -1937472?\n\"Answer: i**3 - 53833*i**2 + 5*i + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 5*t - 138. Let n(d) = 8*d**2 + 9*d - 272. Give -5*l(v) + 3*n(v).\nAnswer: 9*v**2 + 2*v - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000547715017 to seven decimal places.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 8760*s**2 - 8757*s**2 + 0*s + s + 5 + s + 16*s**3 as v*s**3 + m*s**2 + c + q*s and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - -6*(sqrt(140) + sqrt(140)*5))\/sqrt(10))\/(sqrt(84)\/(sqrt(972) + -5*sqrt(972) - sqrt(972) - sqrt(972))).\nAnswer: -1998*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and -32040.9.\nAnswer: -736940.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 136\/(-5) + (-1)\/(-5). Let o = 61 + h. Let m be -6*(o\/(-16) - -2). Which is the closest to 0? (a) m (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34, -250, -838, -1984, -3874?\n\"Answer: -31*x**3 + x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*23\/(-2))\/((-104)\/(-52))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-6))\/((-1)\/2). Suppose p*b - 20 = 15. Calculate the greatest common factor of b and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 222?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/5 - 556*n**2\/5 - 223894*n\/5 + 224448\/5 = 0. What is n?\nAnswer: -224, 1, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -89957565725.\nAnswer: -89957565723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2\/8 + 411*y\/8 - 423\/2 = 0. What is y?\nAnswer: -141, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 1\/6*w**5 + 0*w**4 + 0*w**3 + 0*w - 2*w**2 + 18. Let g(i) be the second derivative of h(i). Let k(d) = -d. Determine g(k(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4325 (base 6) to base 8.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11790*m + 1048 = -35027 - 22624 - 251 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 - -117603?\nAnswer: 117516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 - -0.55. Let n = -6.09 + 0.09. Let v = -9 - n. What is the closest to 0.1 in v, p, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9085 = -3*u + 5*o, -u + 4*o - 2*o + 3028 = 0. Does 33 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 5*c**2 - c - 7. Let f be r(-3). Solve 15 = -10*l + f*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 364 + -323. Let g(r) = -23*r + 14 + 29*r - v. Give g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -14*t**5\/5 - 10*t**2 - 4. Find the second derivative of w(x) wrt x.\nAnswer: -168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0*h**3 + 0*h**2 + 6*h - 7\/6*h**4 + 0 + 1\/2*h**5. Find the third derivative of b(u) wrt u.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8255 + 3?\nAnswer: 8258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = 0, -2*w = -4*j + 3*w + 45. Let p = 12 - j. Put -8, p, 5 in decreasing order.\nAnswer: 5, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + 54. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 3*o**3 + 4*o**3 + 14*o - 26*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - x - 23, 3*g + 40 = -g - 2*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8208, -32767, -73582, -130563, -203620?\n\"Answer: 15*y**3 - 8218*y**2 - 10*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - -19. Let m = 16 - h. What is the smallest common multiple of 4 and 12\/m*30\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73722 = -338*z - 302*z - 476*z - 44574 for z.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**3 - 22*j**2 + 3*j - 6. Let o(c) = 2*c**2 + c - 2. Let g(q) = 3*o(q) - v(q). Solve g(f) = 0 for f.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from okmmkkmmeqeqmkkmmke?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 98058 + 0.097?\nAnswer: 98058.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 70. Suppose -2*u + 9 = u. Suppose -2*s + u*s = 55. What is the highest common factor of l and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + (((0 + sqrt(1872))*3 - sqrt(1872))*2)**2.\nAnswer: 29962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p. Let f = 6 + -1. Let d(n) = 3*n**2 - 13*n**2 + f*n**2 + 6*n**2. Give b(d(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and 810?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + 2 + 3*(sqrt(245) + (2*sqrt(245) - sqrt(245)) + 3 - (sqrt(245)*-2 + -3 + sqrt(245))))**2.\nAnswer: 2898*sqrt(5) + 20370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7977 * -37.5.\nAnswer: -299137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26062, 24377, 22692, 21007?\nAnswer: 19322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-4) + 78\/10)\/(857\/8570)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82524799 is divided by 3034?\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13433800 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0158587 * -68.\nAnswer: 1.0783916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 9*z + 3. Let o be w(-9). Let i = o - -351. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**6\/120 - 13*b**5\/120 + b**4\/6 + 2*b**3\/3 + 11*b - 32. Let j(s) be the third derivative of t(s). Let j(f) = 0. Calculate f.\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66655 divided by -13331.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r + 211. Let c be u(-15). Is 814 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.5 (c) -0.071 (d) 428\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1abd - 1?\nAnswer: 1abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Suppose 4*p = 3*n + 19, -2*p + 33*n - 43*n - 48 = 0. Calculate the highest common factor of p and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**5\/80 + o**4\/24 + o**3\/24 - 7*o. Factor h(g).\nAnswer: g*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, x: 1, b: 1, r: 1, s: 4}. What is prob of sequence sr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) 0.3 (c) -3.1 (d) -0.09 (e) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3264328*n**6 - 6944189*n**2?\nAnswer: -391719360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 17 = -4*m. Sort -2, -4, m, 5.\nAnswer: -4, -2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*j + 136*j - 11 = 0. Let x = -16 - -15.79. Let m = -4.21 - x. What is the nearest to 1 in m, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5518 and 216938.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.66 + 0.34. Which is bigger: 1\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 80\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 21, -228, -1 in decreasing order.\nAnswer: 21, -1, -113, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + (350 - 348 - (-16 - -1)) + -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31565, -32087, -32957, -34175, -35741, -37655, -39917?\nAnswer: -42527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 256473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24187399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {w: 1, x: 1, m: 1, o: 3, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13837754 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -29 + 3 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 108 (b) 4 (c) -0.008 (d) 0.222 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2187)\/(-5832))\/((-9)\/88)*(-3)\/2\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(-2\/7))\/w)\/w*w)\/w*w)**(-7\/9)\/((w\/(w*w\/w**(3\/4)))\/w**(-3)) assuming w is positive.\nAnswer: w**(-91\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 515885 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -5*d - 3*s + 16, 5*d = -5*s - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*z - 37 = 0, -8 = l + 2*z - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 6:55 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/18)\/((-10)\/(-225)) - 22?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(-1 + 0 + sqrt(7)))**2.\nAnswer: -384 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.456, 7, 79\/5, 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -3610727?\nAnswer: 3610732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/29742087 or 0?\nAnswer: 2\/29742087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, 1, -1, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - s - 6, 3*h + 49 = -5*s + 37 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -190914, -0.3, -115?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 5*n**2 + 4*n + 1. Let x be p(-3). Let q = x + -10. Suppose -4*j + 2 = -5*z, -3*j - z + 4 = -6*z. Put 5, q, j in increasing order.\nAnswer: q, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54c - -3?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjmxmmjxxj. What is prob of sequence jjm?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 0*n**3 - 1\/60*n**5 + 1\/12*n**4 + 1\/336*n**8 + 1\/210*n**7 - 1\/40*n**6 + 0 + n**2 + 0*n. Determine b, given that l(b) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*3*sqrt(1260))\/((sqrt(5) - sqrt(25)\/sqrt(20))*3)*3)**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1995\/735 - (-5)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, e: 4, u: 2}. What is prob of sequence uucc?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519 smaller than -186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from eeeeeeeeeaeee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 + 89 = -34*s - 29. Solve -s*y = 10 - 2, -4*i - 3*y - 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 739132*p + 50990586.\nAnswer: 2*(p + 69)*(p + 369497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.098*-1\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 140, 230, 242, 146, -88, -490, -1090, -1918?\n\"Answer: -5*p**3 - 9*p**2 + 152*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -70100065 to the nearest one million.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 - 2252*k**2 + 15960*k = 0.\nAnswer: -570, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(300) - sqrt(300))*2 - sqrt(300))*-2)**2.\nAnswer: 320*sqrt(3) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 17. What is t(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -6. Let v(w) be the second derivative of -421*w**4\/12 - w**3 - 5*w**2\/2 + w. Let y be v(h). What is y rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i + 4*i**2 + 25 - 3 - i**3 - 15 + 9 - 1. Calculate x(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/20)\/(7\/(-14)). Let p(w) = 4*w - 21. Let u be p(6). Suppose -7*l - 5 = -2*l - 4*g, 5 = -5*l - u*g. Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - -1*sqrt(7920))\/sqrt(405).\nAnswer: 13*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(65)*4)\/((sqrt(275)\/sqrt(5))\/sqrt(11)))**2 - (-3 + (sqrt(325)*2)**2*6 + 5).\nAnswer: -5930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -7, -4, -6 in ascending order.\nAnswer: -7, -6, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -25. Suppose -90 = 2*z + 4*h, -9 + 49 = -z - 3*h. Let b = z - -59. What is the remainder when i is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnzz when four letters picked without replacement from {n: 7, z: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 173*b - 4211605 = 174*b, -2*m - 4*b + 2105780 = 0. What is m rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -1.2. Let s = m + -0.6. Let z = 6 - 4. Which is the third biggest value? (a) s (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = -9. Let n(m) = 5*m - 11*m + 17*m + 88. Let j be n(-8). Solve j = h + 4 - c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*f = 2*s - 23301, 3*s = 5*f + 34949. Let t = s + -17296. Let g = t + 10048. What is g rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 679 + -675. Solve -t*g - 7*s = -5*s - 2, s + 5 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18863685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*k - 25. Let l = k - -25. Solve 0 = -l*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:21 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 95130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-6 - 1) - (-13 - -12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/4 + 1481*g**4\/4 + 10441*g**3\/2 + 17948*g**2 - 11896*g - 95680 = 0 for g.\nAnswer: -8, -4, 2, 1495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2711 + -3127. Is -5838 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1265720, 1265719, 1265718, 1265717, 1265716, 1265715?\nAnswer: 1265714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-1) - (-6)\/(-2). Let f = r - -10. Let v = -2 + f. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12000110122 (base 3) to base 6.\nAnswer: -2041112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -42.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4771, -4772, -4773, -4774?\n\"Answer: -k - 4770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351*j - 372*j + 3*j**3 - 4*j**3 - 7*j**3 + 1095*j - 359*j.\nAnswer: -8*j**3 + 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/10 + (-3)\/2. Let d(i) = 6 - 4*i**2 - 3 - 4 + 5*i**2. Let o(w) = -4 + 9*w**3 + 13*w**3 + 5*w**2 - w**2 - 43*w**3 + 16*w**3. Calculate v*o(f) + 4*d(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12200201012 (base 3) in base 9?\nAnswer: -180635","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.33 in -1\/5, 0.5, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at least as big as -1876.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1 - (-10 - -9). Let c(q) = 2*q - 56. Let u be c(29). Factor -295*o**3 + o + 0*o**a + 294*o**3 - o**u + 3*o**4 - 2*o**4.\nAnswer: o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/4))**(-14\/9))**(2\/5)*((o\/((o*o*o**(-3\/4))\/o*o))**(-1\/6))**45 assuming o is positive.\nAnswer: o**(79\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2. Let m(i) = 20697*i. What is w(m(l))?\nAnswer: 428365809*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14266135 less than 7?\nAnswer: -14266128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6076*x + 12104*x - 6052*x - 2*x**2.\nAnswer: -2*x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + (-3)\/6)\/((-11)\/27610)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -32*n + 14186. Calculate p(442).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6301 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 54. Let y be s(-27). Solve 2*z - 4*z + 4 = y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 10*q**2 + 18*q - 4. Let w be m(8). Let z be -5 + w\/(-8)*-6. Solve -5*o = 2*n - 30, z*o = -n + 6*n - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c - 2*r = 0, c = 3*r - 10. Suppose -8 = c*m + 4*d, 5*d = 4*m + 6*d - 5. Suppose -q = -m*s + 148, -2*s + s + 74 = -q. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*j**2 - 20*j**2 + 47*j**2 - 1858*j - 1332 + 2522*j.\nAnswer: (j - 2)*(j + 666)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1314099756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-20) - 108\/(-20). What is the derivative of n + 1 + 5*v - 5 wrt v?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2*q**2 - 3371*n**2*q - 2*n*q + 63*n + 18*q**2 wrt n?\nAnswer: 2*q**2 - 6742*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241, 48, 815, 2300, 4743, 8384, 13463?\nAnswer: 20220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 7*t**2 + 7*t - 2. Suppose f + 3*f = -5*y + 34, -5*y = f - 16. Let c be j(f). Solve -3*z - b + 6 = 17, -4*b - 12 = c*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -53.\nAnswer: 16\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4469 (base 12) to base 4.\nAnswer: 1312101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/20 - k**4\/6 - 5*k**3\/6 + 3*k**2\/2 + 3*k. What is the remainder when u(4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 226630, 453193, 679758, 906325, 1132894?\n\"Answer: o**2 + 226560*o + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 287900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4 + 4520*x**3 + 2558316*x**2 + 5103080*x + 2549282 = 0. Calculate x.\nAnswer: -1129, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 3*s - 4*s)*(-183*s - 2*s**2 + 957*s + 168*s) as b*s + f*s**2 + k + z*s**3 and give f.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/((-1*sqrt(24))\/sqrt(2)))\/(3*(sqrt(250)\/sqrt(5))\/sqrt(10)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, s: 1, f: 5, d: 1, b: 1}. Give prob of sequence fii.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvyy when four letters picked without replacement from {v: 5, y: 13}.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5249, -3614, -889, 2926, 7831, 13826?\n\"Answer: 545*b**2 - 5794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -426.06618 to zero decimal places.\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 + -100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 65 - 25 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 92 = -u - 105, -24 = -q - 4*u. Put -7, q, 373 in decreasing order.\nAnswer: 373, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5*f + 25 = 0, -14*f - 13 = 4*o - 11*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/6, 1, -122\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96813 and 221733?\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 409 = -487. Solve b*c + 5*c - 22 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3750 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 95863442 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j + 2*j**2 - 3*j - j**2 - 2. Let o(k) be the third derivative of 2*k**2 - 1\/3*k**3 + 1\/24*k**4 + 0*k + 1\/60*k**5 + 0. Calculate -3*o(g) + 4*s(g).\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 + -0.36. What is the nearest to -1\/2 in 3\/7, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, b: 1, q: 1, r: 2}. Give prob of picking 1 q, 1 b, and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by (5 - -3)\/(112\/24)*42?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -11200?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -4*j - 55. Solve -6*b - 4*y + 12 = -b, 4*y = -3*b + j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 332 + -260. Suppose -12*k + 36 = y. Let p(n) = n**2 + n - 3. Give p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, o: 2, j: 1, m: 1, b: 3}. Give prob of sequence oj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-7\/4)*c*c*c))**(-15) assuming c is positive.\nAnswer: c**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564 and 145548?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 62*n**3 + 11. Let a(t) = -21*t**3 - 4. Determine 11*a(z) + 4*f(z).\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (2 - -6)) + 3 + (10 + -43 - -24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {a: 7, n: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 - 3*l. What is y(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 14.5. Let h = 1.5 + r. Let o = 3.5 - 3. Sort -2, o, h.\nAnswer: -2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313498787 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from smsvsxsc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 73, 10, 8 in decreasing order.\nAnswer: 73, 10, 8, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1612698 and 1.405714.\nAnswer: -1612696.594286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - 15*v**2 + 7*v - 4. Let f be m(-8). Suppose 12 = t + f. Suppose -3*u = -t*u + 70. Calculate the highest common factor of u and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 less than 498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, a: 2, i: 1, j: 1}. What is prob of sequence ja?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -4) + 0 + 0. Suppose l - g = 25, p*l - 114 + 13 = 3*g. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*o = 21, 3*y - 3*o = -0*y + 24. Suppose j + 2*i = -0*i + 16, -y*j + 4*i = -18. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 389153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3817\/45 - -423\/5. What is the third smallest value in -5, h, 7.4?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34\/13, -1, -0.5.\nAnswer: -1, -0.5, 34\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1819*y**4 - 3921*y**2 wrt y?\nAnswer: -43656*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1310 - 10?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-33)*(-1 + 31\/16)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-3)*1256\/(-4082)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 2:50 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 602 + 13*n**2 - n**2 + 0*n**2 + 443 - 5*n**2 to j*n + t + s*n**2 and give t.\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*a - 3 = -4*l, 3*a = 3*l - 18. What is the second derivative of 5*m - 5*m**3 - l + 3 - 3*m wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 40. Let k = m - -10. Solve -4*j - h = 7 - 3, -3*j + k*h = 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-54)*(-48)\/(-80)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 22 (c) -98 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o**2 + 10*o + 10. Let w(v) be the second derivative of -v**4\/12 + v**3\/6 + v**2\/2 - 1108*v. What is 3*q(r) - 30*w(r)?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 6*b - 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - d - 9 = 0, 9 = -2*p + p + 4*d. Let h(v) = -3*v + 6. Let x(b) = -b + 3. Let t(z) = -2*h(z) + 5*x(z). Give t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 - i**2 + i. Let j be c(1). Let d(y) = -3*y - 3*y + y + y**j + 0*y - 4. Let h be d(12). Calculate the greatest common divisor of h and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (0 - 0) + 25 + -110 + 89 - 30?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51333*n + 60 = -51345*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 2*d - 5\/6*d**3 + 3*d**2 + 0 + 1\/12*d**4. What is k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4183\/112 - 261\/7. Calculate the common denominator of o and 95\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -369, -372, -377, -384, -393?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14440258?\nAnswer: 2, 7, 1031447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**9\/(x*x**(1\/5)*x)*(x**(-8)*x)\/(x**(3\/5)*x) assuming x is positive.\nAnswer: x**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - y = 139, -4*l - y = -504 - 57. Let p be (-4887)\/5 - 84\/l. What is p rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -34, -106, -228, -412, -670?\n\"Answer: -2*j**3 - 7*j**2 + j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -84, -86, -86, -84?\n\"Answer: s**2 - 5*s - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x + 2, 5*i - 410 = -5*x. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -10122022?\nAnswer: -10122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7 - 7 + 13. Let a(d) be the third derivative of -d**5\/60 + 7*d**3\/6 + d**2. Give -2*a(r) - 14*x(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**4\/24 + 34*o**3\/3 - 248*o**2. Let x(k) = k. What is x(h(n))?\nAnswer: n + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188980289.\nAnswer: 19, 647, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -539350000 to the nearest 1000000.\nAnswer: -539000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/10 + 29*j**2\/10 + 8*j + 26\/5 = 0.\nAnswer: -26, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29679\/2 + 14840. Let n = -3.02 - -0.02. Which is the nearest to -1? (a) n (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 553406541*x - 201594830 wrt x.\nAnswer: 553406541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2495?\nAnswer: 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/357, 29, -3\/2?\nAnswer: -2\/357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32966 is divided by 942.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062621 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 427809, -7.\nAnswer: -7, -3, 427809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 51. What is the remainder when (3\/2)\/(15\/1090) is divided by b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 3 (c) -0.1 (d) 1 (e) -71\/825\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/26031 and -68\/33.\nAnswer: 286341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54.8633 - 2.8503. Let x = -52 + l. What is x rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 8*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315, 307, 287, 249, 187, 95?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + d)*(-2382*d**3 + 4764*d**3 + 4*d**2 - 2381*d**3 - 284*d).\nAnswer: d**4 + 4*d**3 - 284*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 41*f**2 - 42*f - 80. Let w be l(-40). Solve 3*i + 0 - 15 = w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*t = -6 + 42, -4*w + 30 = t. Let k(u) = u**3 - 6*u**2 - 10*u - 3. Determine k(w).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -23. Find the third derivative of 2*h**5 - 4*h**2 + q*h**2 + h**2 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1455\/(-6111)*(-6)\/45\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20905 and 681390?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88.2 - 102. Which is the third biggest value? (a) 1 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxrrxrzzxzxxzrxx. What is prob of picking 3 z?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 8:41 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c. Let x(f) = -f**3 + 11*f**2 + 13*f - 2. Let z be x(12). Suppose 11*v = z*v + 2. Let b(h) = -v*h + 0*h - 5*h. What is b(u(t))?\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 3*x - 4. Let p be i(3). Suppose 0 = a + 2*o - 256, -a + p*o + 70 = -200. List the prime factors of a.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/5))**(-13)*(g**(-1\/4))**(-31) assuming g is positive.\nAnswer: g**(-209\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, y: 1, d: 3, o: 1}. What is prob of sequence jo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/(-306) + 5629\/17 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -13, 1\/5, -1380?\nAnswer: -1380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -163, -2\/15 in ascending order.\nAnswer: -163, -2\/15, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9431 (base 10) to base 5\nAnswer: -300211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n - 6, -5*l - 3*n + 104 = 0. Let w be (2 - l)\/((2 - 1)\/(-1)). What is the units digit of (-4)\/w + 612\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(245) + 2 + 2)*-4*-2*-5 + 5 + 2)**2.\nAnswer: 82880*sqrt(5) + 413904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4536)\/(-630)*46\/(-92)*(-5)\/(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, 4, 0.2, 88 in decreasing order.\nAnswer: 88, 4, 0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 6 - 1 - 1 + 0. Let q be b(-6). What is the greatest common factor of 110 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17\/3546 + 1991653\/3546. Let y = q + -561. Sort 2\/7, y, 0.3, -0.2 in descending order.\nAnswer: y, 0.3, 2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 7*v**2 - 6*v - 6. Suppose -2*j - 3*o = -75, 48 - 133 = -2*j - 5*o. Suppose -2*f - 3*f = -j. Give w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*r**2 + 168*r**2 + 177*r**2 - 511*r**2 to the form v*r + y + k*r**2 and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2\/3, -1\/7, 0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1354648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 28*u - 22. Let l be (-10)\/(-14) + (5 - (-363)\/(-77)). Let k be y(l). Solve 5*t - 9 - k = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725736078.\nAnswer: 2, 11, 78442549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 8 = 8. Suppose 3*c + 2*c - s - 42224457 = h, s + 8444889 = c. Let b = c + -20444892. What is b rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (-1)\/((-42)\/(-24) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1090, -1113, -1160, -1237, -1350?\n\"Answer: -r**3 - 6*r**2 + 2*r - 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1788 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-2 - (0 - 2)) + (518 - 595).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 10*n**5 + 254*n**4 + 780*n**3 + 712*n**2 + 176*n = 0.\nAnswer: -22, -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16421225663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387 + 3*4*10\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(320) - (sqrt(320) + (sqrt(320) + (-1 + sqrt(320) + sqrt(320) - sqrt(320)) + sqrt(320) - sqrt(320)))) + 3 + -5 + 2 + sqrt(320)*3*-5 + -1)**2.\nAnswer: 92484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 7 - (-25 + 4 + 10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 1. Let r(g) = -5*g**2 + 18. What is 6*j(f) + r(f)?\nAnswer: f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 47 - 11. Let k = q + -18. Let t(x) = x**2 + 4*x + 5. Is 6 a factor of t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0*u**4 + 0*u**3 + 0 + 18*u**2 + 0*u - 1\/8*u**6 + 23\/60*u**5. What is the third derivative of d(i) wrt i?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30.36*4\nAnswer: 121.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 42 = -2*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*i*y + 2*f**3*y - 53*f**3*z + 2*f**3 + 2*f**2*i*y*z - 3*f**2*i*z - 2*f**2*y*z + 64*i*z wrt f.\nAnswer: -6*i*y + 12*y - 318*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332323323 (base 4) in base 10?\nAnswer: 782075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 41*v + 455. Let s be p(-11). Solve 15 = -s*r + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2917 - h**5 + 4*h**2 - 2*h**3 - 4*h**4 + 3*h - 2917 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 - 2 - 1053*l + 1053*l + 2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/648 and 35\/528.\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*q - 19 = 0, 4*c + 2*q - 16 = 2. Is 2 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 581 and 498.\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 o when four letters picked without replacement from ooooooooyyoo?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 3*r**2 + 6*r - 4. Calculate y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5. Let w be (-3)\/(1\/(27\/(-18))*-6). What is the nearest to g in 5, w, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose 0*j = -d*j. Factor 0 + 0*o + j*o**2 + 8\/5*o**4 - 2\/5*o**5 - 8\/5*o**3.\nAnswer: -2*o**3*(o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127.4 - 131. What is the nearest to -2\/3 in 5, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21963 - -21962. Let u = 6 - 2. What is the fourth biggest value in 2, 1, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/15)\/(1*-4*55\/30)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 101. Differentiate -9 - 21 - l*y**3 + 28*y**3 wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 263296 and 23.2?\nAnswer: 263272.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4755*a**2*t**3 - t**3 - 36*t**2 - 6 wrt a?\nAnswer: -9510*a*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -315 + -2?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**7 + 34*w**5\/5 - 341*w**3\/3 - 4*w - 2319. What is the third derivative of z(n) wrt n?\nAnswer: -840*n**3 + 816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = -2*b - 290. What is the derivative of b - 192*q**3 + 3*q + 13 - 3*q + 71 wrt q?\nAnswer: -576*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13497\/23 + -587. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -487*t**3 + t**2 - t + 2. Let k be p(-2). Let d be (-2)\/(-5) - k\/(-40). Calculate the greatest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.3. Let l = 0.1 + 0.4. What is the second biggest value in 3, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.94 + 60.94. Which is the fourth biggest value? (a) -2 (b) 14\/5 (c) 3\/7 (d) t (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 2*n - 2*n + (0*n + 4*n - 2*n)*(-n - 2 + 2) - 5*n**2 + 0*n**2 + 20*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 326531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16361952 and 13284?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1359.03 + -1359. What is the third smallest value in z, -173, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 3760*q + 40755.\nAnswer: 5*(q - 741)*(q - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -84441623.24 to the nearest 1000000.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(3 - -3)*4. Does 15 divide a + 5 - 6\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -90*u. Let q be p(1). Let n = 161 + q. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-180 - 123437\/(-685))\/(3\/(-70))\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + -4 + 1 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -632, -5.\nAnswer: -632, -5, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/64 and -89\/1575504.\nAnswer: 6302016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w - 2 = 0. Let a be (w + 13)*(-1)\/(-2). Let i be 27\/(-24)*4\/a. Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3 + 1 - 3*s + 0 - s. Let t = -11 - -10. Let o be y(t). Solve 0*l - 3*l = -2*a - o, -4 = 4*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 15*m + 350. Suppose 0*y = -4*y + 2*i + 300, 3*y - 225 = 5*i. What is the remainder when y is divided by r(-27)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 35.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 60\/18 - (-34)\/6. Suppose -o - 5 = -c. Suppose -3*t + 15 = 2*t. Solve 3*z + t = -o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = n. Let b be 11\/(-4) + n\/(-8). Let q(k) = -71*k - 644. Let l be q(-9). Is l equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*p**2 - a**3*p - 2*a**3 + 3*a**2*p + 13*a**2 + 133*a*p**2 + 11*a*p + 5*p**2 wrt p.\nAnswer: -4*a**3 + 266*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 11. Let m be w(5). Let s = 9 - m. What is the remainder when 17 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11c (base 14) in base 3?\nAnswer: -22020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c + 2 - 6*c**2 + c + 2*c**2. Let d(o) = -5*o**2 - 4*o + 3. Suppose 3*n = -2*n + 10. Give n*d(p) - 3*w(p).\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232815 = 3253*h + 131972 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*((-2)\/(16\/(-2)))\/(39\/2262)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2661*l + 4 - 3 = -2662*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 536 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = 2. Let m(v) = v + 1. What is the remainder when m(c) is divided by ((-6)\/3)\/(-4)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**3 - 7*j**2 - 711*j - 704. Determine v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 + 5*m - 39. Calculate the lowest common multiple of 96 and z(5).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1591*s - 138*s + 193*s.\nAnswer: -1536*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 + -123. Let q(r) = 5*r**2 - r + 7. Let n be q(u). What is the highest common divisor of 28 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1291*y**2 - 1313*y**2 - 3.\nAnswer: -22*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9601767 (base 10) to base 6\nAnswer: 541444343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 25*b**3 + 78*b**3 - 148*b**3 + 84*b**3 - 5*b**2 + 7*b**2.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -18113739 and -4.\nAnswer: -18113743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 27*f - 109. Let o be (1212\/(-1515))\/((-4)\/110). Determine t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y + 8*y + 18*y in the form r + m*y and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1426 and 372.\nAnswer: 8556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 0.1, 0.2, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100100010111001010110 - -110?\nAnswer: 1011100100010111001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*a + 35, 0 = -237*a + 235*a - 4*r - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 25*u**8\/336 - 13*u**6\/60 + u**4\/8 + 509*u**3\/6 + 3*u**2 - 182. Find the second derivative of o(q) wrt q.\nAnswer: 500*q**3 - 156*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -16 (c) 1\/9 (d) -196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113 + (8 + -3 + (1 - 0) - (65 + -65)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/2439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1733517 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 4*o + 435 = -5*c, 2*c - 864 = -5*o. Let g = c - 421. Solve g*z = 7 - 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 1. Let a be g(5). Suppose -q + 5 = a*q. Let v(z) = q - 4 + 4*z + 3. Let c(y) = -y**2. Give c(v(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83272591.\nAnswer: 83272591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 5*v**2 + 7*v - 2. Let d be q(3). Let c(g) = g. Suppose 3*k - 15 + 2 = t, 28 = -4*t + 4*k. Let p(s) = s + 2. Calculate d*p(o) + t*c(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 - 4*g**2 + 6*g + 1. Let m be s(-4). Suppose -5*b + 3*u + 245 = 0, 0*b + b + u = m. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 3. Let h(y) = y + 1. Let d(b) = -16*b - 3. Let z(u) = 2*d(u) + 22*h(u). Let a(o) = 16*k(o) + 3*z(o). Let p(q) = -3*q**2. Calculate p(a(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10368 and 2997?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -9. Solve 3 = a*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-48)*-51)\/((-9)\/4 + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 9:24 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 2:18 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 4223?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500761 and 189.\nAnswer: 94643829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.2369915 months to decades.\nAnswer: 0.0103082625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 262352249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Factor 0*m + 0 + 2\/7*m**j + 2\/7*m**2.\nAnswer: 2*m**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68122112, 136244225, 204366336, 272488445, 340610552, 408732657?\nAnswer: 476854760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-13) + (-11718)\/(-1638).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -94423 greater than or equal to -94420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26279 is divided by 254?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/6 + (-1)\/(3\/(-318)). Suppose 7*b = 3*b + 28. Let m be b\/(-17)*i\/(-119). Is m > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -19 (c) -0.2 (d) -1 (e) -3\/5 (f) 5.874\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**3 + 2*b**3 + 2*b**3)*(-1 - 3 + 3)*(1 - b + 3*b + 0) as o*b**3 + u*b**4 + j*b**2 + a*b + d and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13313611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + -68. Suppose -177086 + 503086 = m*n. What is n rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 7. Suppose -s = -u + 4. Let c be -9*(-11*1 + 0). What is the greatest common divisor of c and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = -5*o. Let y = 6 + o. Suppose 0 = -y*n + 152 - 57. What is the remainder when n is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 - -135.24. Let f = x - 2.762. Round f to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/128 and -73\/64?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/75)\/(28\/(-18))*(-600)\/80?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 85714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0285 - 0.2905. Let l = -0.26 - r. What is l rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 3 - 1)*(-4 - 2*g + 4) + 4*g - 4 + 4)*(-5*g - 2 + 16*g + 16*g) to the form v + n*g**2 + q*g and give n.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/210 - (-83193)\/495. Calculate the highest common factor of 20440 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**8\/112 + s**7\/70 + s**6\/40 - s**5\/20 + 2*s**2 + 2. Factor a(d).\nAnswer: -3*d**2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8 = 4*w, -4*k + 14 = 5*w - 3*w. Let z = 7 + -5. Suppose 16 = k*l, -2*s = z*s + l. What is the nearest to 0 in -0.5, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b. Let u(i) = -66 + 66 + 2*i**2. Determine w(u(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1853 + -1033. What are the prime factors of h?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 - 673 = 8*p - 273 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t + 2. Suppose -b = 4*h - 95, 0 = 4*h - 5*b + t*b - 115. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/10 + 2*a**3\/3 + 3*a**2 + 8*a. Let u(p) be the first derivative of f(p). What is the derivative of u(c) wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/127502 + -2613863\/9180144. Calculate the common denominator of -109\/42 and m.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhdy when four letters picked without replacement from {d: 2, y: 4, l: 6, h: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1405005 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 91767 divided by -100\nAnswer: -91767\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 2786238.\nAnswer: 11144952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 8*d + 1. Suppose 4*j + 3*b = 17, 4*j = j + 4*b - 6. Suppose -6 = -p + a - 4*a, j*a - 43 = -5*p. What is the tens digit of h(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*x + 6 = 0, 3*x - 5 - 1 = 0. Let l = 51 - n. Suppose -l - 13 = -3*i. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v - 141. Let h(i) = -28*i + 422. Let q(d) = -5*h(d) - 16*r(d). List the prime factors of q(0).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144*m - 1254 = -7926 - 3624 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22354813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.315 - -0.014. Round l to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -0.3, -5, 17 in descending order.\nAnswer: 17, -0.3, -4\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71.8 - -82.8. Let o = -181\/12 + 49\/3. Which is the smallest value? (a) -5 (b) o (c) g (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87 + 48*i**2 - 87 + (4*i - 3*i + 0*i)*(3 - 3 - 2*i).\nAnswer: 46*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 471*w**2 - 10 + 23 - 7 as u*w**2 + y*w + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -247\nAnswer: 123.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -24. Suppose j*m + 4*s - s - 95 = 0, 5*s = -3*m + 142. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1874*h**3 + 3*h**2 + 1908*h + 9 wrt h.\nAnswer: -11244*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.29 and -0.0659?\nAnswer: 0.150911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 122302 (base 11) to base 9\nAnswer: 324214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -686*o + 1254. Let s(h) = 348*h - 626. Let m(n) = 6*d(n) + 13*s(n). What is the derivative of m(z) wrt z?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 5*j**2 - 3*j - 1. Let w = 623 - 526. Let u = -101 + w. Calculate r(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = z - 2*c, 5*z = 2*c - 4. Suppose 2*s = j - 15, -3*s - s + 4 = z. Calculate the remainder when 50 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 57, 0, 8, 4 in decreasing order.\nAnswer: 57, 8, 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**5\/5 + 21*x**3\/5 - 18*x**2\/5 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 546 - 149. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -513490?\nAnswer: 513493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 10330 = -3*j, 8*j + 3441 = 9*j + o. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21457a (base 16) to base 5.\nAnswer: -1024233344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 0) + 18 + 70 + -71?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 3*m - 9. Let w be f(-7). Suppose 3*a - w = -5*v, 5*a + 0 = -10. Is v != 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626268 to the power of 1\/2, to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 41 = -113. What is the greatest common divisor of 126 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 - -2101221?\nAnswer: 2101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 24, 2, -1, -2\/871 in increasing order.\nAnswer: -1, -2\/871, 2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/8)*m)\/m*m*(m\/(m*m**3\/m*m))\/m)**8*(m\/(m*m**(-2\/15)))\/(m\/(m**8*m*m))*(m\/m**0)\/m**(5\/2) assuming m is positive.\nAnswer: m**(-521\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = c - 3*g, -3*c = 3*g - 12. Let d(p) = -2 - 2*p**3 - p**3 + 5*p**3 - 2*p**2. What is the units digit of d(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1222 + 13*o**2 - 1222)*(3 - 20 + 0)*(2*o + o**3 - 2*o).\nAnswer: -221*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 268*s + 3. Let b(g) = -g**2 - 134*g - 2. Give -5*b(x) - 3*m(x).\nAnswer: -x**2 - 134*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * 15.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12 = -4*m, 0*m = -5*m + 25. Suppose -3*x = x + 12, n*x = 4*f - 874. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203144 - 3141443?\nAnswer: -3400142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0211238 and -0.4.\nAnswer: -0.00844952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.3 + -29. Put -5, j, -0.5 in decreasing order.\nAnswer: j, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/30 in -1, 392, -90?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) + 14\/6. Let b be 1\/(1\/6*3). Let s(k) = 5*k - 1 - k**2 + k - b. What is s(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (33 - 37) + 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 122, 134, 146, 158, 170, 182?\n\"Answer: 12*o + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 64 = 4*p. Let j be 387\/11 - ((-204)\/(-33) + -6). Solve -y = -4*z + p, -z = 2*z + 5*y - j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t. Let m be c(-5). Let n(l) = l**2 - 4*l + 7. Let d be n(5). What is the highest common divisor of m and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:32 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2091081*f + 6 = -2091084*f + 3*k, 3*f - 2*k = -7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 386870 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7324162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3149689 is divided by 139.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 314844077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -620.6 + 621. Sort 0.5, 1\/4, j, 2\/9 in increasing order.\nAnswer: 2\/9, 1\/4, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * -33053.\nAnswer: -1123802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1436\/5385*15\/38. Which is the second smallest value? (a) 6\/227 (b) y (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*sqrt(77))\/(sqrt(55)\/sqrt(5)*4))**2.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303237 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 6:45 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*u + 4*l - 11, 0 = -3*u + 2*l + 16. Solve -4*h = -4*d + d + 10, u*d + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 100 (b) 0.1 (c) -4 (d) 906\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2284?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l + 5*l - 3*l)*(-1 - 2 + 5 - 2 + 5 - 1 - 4 + 2 + 1 + (5 - 1 - 2)*(-2 + 2 - 2) + 5 + 6 + 3).\nAnswer: 104*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 7 = -2*c - 6, 0 = c - 3*o + 11. Is c less than or equal to -68\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72)*-1 + sqrt(72)))\/sqrt(6) + sqrt(12))\/(sqrt(4) + sqrt(28)\/(sqrt(28)\/sqrt(4)) + sqrt(4)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (4 - 3) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 897, 1678, 2461, 3246, 4033?\nAnswer: 4822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3)*3*-12. Let c(f) = -14*f**2 + f. Let v = -8 - -9. Let g be c(v). Is g >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 8\/5*v**2 - 8\/5 - 2\/5*v + 2\/5*v**3 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1669308.6 and 981.\nAnswer: 1670289.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -46 - ((-35 - -13) + -4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667693 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128726525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -114*x - 20759. Determine w(-182).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*u - 10738 = -10102 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/832)\/((-11)\/13).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-518)\/(-168)*-3 - -10. Let p = 1.52 + -1.12. Which is the nearest to -1\/2? (a) v (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21806, 21811, 21814, 21809, 21790, 21751, 21686, 21589?\n\"Answer: -r**3 + 5*r**2 - 3*r + 21805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -49155, 0.\nAnswer: -49155, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g + 13\/105*g**7 + 0*g**6 + 95\/3*g**3 + 0*g**5 + 0*g**4 - 72*g**2 + 0. Differentiate v(q) with respect to q.\nAnswer: 104*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/8 and 79\/576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**8\/336 + 6*p**5\/5 - p**4\/24 - 226*p**2. Find the second derivative of m(u) wrt u.\nAnswer: -20*u**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 14. Let t be x(-7). Solve 5*z + 3*l - 15 = 0, -3*z + 4*l + 0 + 9 = t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:12 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 719596605 to the nearest integer?\nAnswer: 26825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.029 * 0.2.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2. Let u(b) = 15*b**2. Give u(n(h)).\nAnswer: 375*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = 2*i + 3*m, 4*i = i + m + 364. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, -4, 5, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29557*s**3 - 337*s**2 + 49911*s + 4.\nAnswer: -177342*s - 674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11191 divided by -20408.\nAnswer: 11191\/20408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5363678 is divided by 5953.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(108\/(-120)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:34 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001072485 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 576633+165360\nAnswer: 741993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 3)*(-1379 - 67*s + 1379) as j + c*s and give c.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7*o*o*o\/(o\/(o\/(o\/(o\/((o*o*o*o*o\/o**(2\/25)*o*o*o)\/o)))))*o*o\/o**0*o*(o\/(o\/((o*o**4\/o)\/o*o*o)))\/o assuming o is positive.\nAnswer: o**(252\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -779*j**2 + 45967*j - 352. What is r(59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 130, -2, -1, 3 in increasing order.\nAnswer: -5, -2, -1, 3, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-12))\/((-10)\/(-60)). Suppose -4*i = d - u*d + 48, 2*d = -i + 18. What is the units digit of ((-12)\/d)\/((-12)\/360)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 91*u = -13620. Solve -u*y + 20 = -231*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1173, 4537, 10151, 18015, 28129, 40493?\nAnswer: 55107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 2*a**2 + 143. What are the prime factors of z(0)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = t - 423, -120 = -3*r + 2*t + 312. Let g = -222 + r. Let y = -47 - g. Calculate the highest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 5*k**2 + k + 5. Let u be v(5). Let m = -1391 + 1392. Solve 3*i - m = -u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21111222001 (base 3) to base 4\nAnswer: -210013321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19.1, -0.4, -114, -0.3?\nAnswer: 19.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -45, -79, -169, -339, -613, -1015, -1569?\nAnswer: -2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 2082?\nAnswer: 6246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522661 is divided by 56?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 + 9*n - 86*n**3 + 260*n**3 - 3*n**2 - 179*n**3 + 2 as z*n + m*n**3 + a*n**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3921720 is divided by 1445?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from wjoojjojjwejv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -4*r**5\/15 + 7*r**4\/12 - 221*r**2. Let k(d) = 3*d**2 - 3*d. What is -28*k(h) - 6*t(h)?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/16 and 47\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tod when three letters picked without replacement from tod.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w + 4*c - 13, -5*w + 11 = -c. Suppose 3*s - 7 - 43 = -2*y, 0 = -w*s - 4*y + 46. Calculate the remainder when 124 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.68 + 0.98. Put -7\/5, 0, d, 1 in decreasing order.\nAnswer: 1, d, 0, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/6*m + 0 - 1\/6*m**3 + 2\/3*m**2.\nAnswer: -m*(m - 5)*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-81)*2\/1. Which is the third smallest value? (a) w (b) -0.8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5 + 30536*i**4 - 244840*i**3 - 2260592*i**2 + 11012580*i + 61900200 = 0. What is i?\nAnswer: -7642, -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*s + 76*s + 9*s to n + r*s and give r.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11635.\nAnswer: 5, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + -300dc?\nAnswer: -30103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52728)\/(-11820)*2\/4. Let y = o + -6\/197. Let a = 41 + -40. Is y less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692088749?\nAnswer: 11, 173, 363683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1 + s**2 - 43*s + 85*s - 43*s. Let b(v) = 2*v**3 - 5*v**2 + 4*v - 4. What is -4*a(p) - b(p)?\nAnswer: -2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 12937?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 35*l - 5082. Suppose -168 + l = -7*g. Solve 0 = -y - g*r - 4, 5*y + 2*r = -0*y - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b. Suppose -7 = -u + 9. Suppose 8 = 4*t - 2*n, 0 = -t + 5*n - 0 + 2. Let o(z) = z**t - 10*z - 6*z + u*z. Calculate a(o(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001001011 + -101110001101000?\nAnswer: -100110000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18494819 to the nearest integer?\nAnswer: 4301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 43 = 5*m + 12, 3*s + 9 + 0 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 122\/(-3) + 4\/(-36)*3. Which is bigger: -42 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/27*-69)\/(2\/3). Suppose 0 = 8*z - l - 33. Solve 2*w = z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 84b + 0?\nAnswer: 84b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-310)\/4 - 3)*96\/(-28). What is the greatest common factor of 69 and o?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*h - 2. Let i(s) = -s + 1. Let c(w) = 7*w + 0 - 3 - 16*w + 13*w + 0. Let q(a) = h*c(a) + 3*i(a). Let k(l) = -21*l**2. What is q(k(b))?\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103239581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*d - 277*d + 879*d.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*64\/256.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 28. Suppose d + v = 47. Suppose -4*i + 2*i = -d. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2 + 7*n + 2. Let m(k) = 2*k**2 - 4*k + k - 1 - k. Let z(h) = -6*j(h) - 10*m(h). Let p be z(-2). What is the highest common factor of p and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61\/4 + 16. Let o(m) be the first derivative of 3\/2*m**2 + 0*m - 1 + p*m**4 - 2*m**3. Factor o(a).\nAnswer: 3*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5235\/(-42) + (-318)\/371 + 175\/14 + -13\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**3\/3 - b**2 + 2*b + 2. Let g(z) = z**3 - z + 1. Let j = -105 + 106. Give j*a(m) - 2*g(m).\nAnswer: -2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1046 > -1101197\/1054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 176967, 176969, 176969, 176967, 176963?\n\"Answer: -l**2 + 5*l + 176963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 838 - 852. Let g(l) = 2*l + 2. Let h be g(-5). What is the smallest common multiple of h\/z + (-40)\/(-28) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -130489939?\nAnswer: -130489939.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9475, -4, 3, 5 in increasing order.\nAnswer: -4, 3, 5, 9475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 - 15 = 0. Let i = 10 - d. Solve -g = -i*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f - 1 + 16*f + f - 3*f - 5*f + 4.\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 + 2*r**4 + r**5 + r**5 + r**5 + r**4 - r**4 + (2*r**2 + 2*r**5 - 2*r**2)*(1 + 2 - 1) - 4*r**5 - 2*r**5 + 4*r**5 + r**5 - 3 + 3.\nAnswer: 6*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9644, -9642, -9640, -9638, -9636, -9634?\nAnswer: -9632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404117.4t in grams?\nAnswer: 404117400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2268*j**4 - 19080*j**3 - 37461*j**2 - 1674*j + 675 = 0. What is j?\nAnswer: -75\/14, -3, -1\/6, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**3\/6 - 3*k**2 + k. Let x be i(8). Let u(a) = 9*a**2 + 2*a - 1. Does 13 divide u(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3 + 3 + sqrt(1300))**2 + 3 + (sqrt(1300) + 3 + sqrt(1300))**2).\nAnswer: -32560 - 600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**4*m - 4*i**3*m + 6*i*m + i wrt i.\nAnswer: 60*i**2*m - 24*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4 + 2. Suppose o + f + 10 = 0, 4 + w = -5*f. Let c = -4 - o. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -56. Let n = b + -33.1. What is the closest to n in 3\/7, -3, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3970529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000329626 to six dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - b + 10. Let q be d(-3). Solve 5*f - 5*m = -3*m + 2, 2*f = q*m + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21293730 divided by 3546.\nAnswer: 6005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -48\/11, 3, 5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408757836?\nAnswer: 2, 3, 53, 642701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/(-108))\/((-4)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58566 is divided by 56708?\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 1, u: 3, g: 3}. Give prob of picking 1 q and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + g - 5*g + 2*g + 2*g - g + 0*g + 2*g + (2*g + 0 + 0)*(-3 + 1 + 4) + g - 3*g + 0*g - g - g + g + 5*g + 2*g - 3*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2418*h + 2956*h + 408424 = 0 for h.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 4. Suppose 0 = 5*i + 3 - 48. Let n be c(i). Let h(t) = -t**3 - 6*t**2 - 5*t + 7. Give h(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22657.97s to microseconds.\nAnswer: 22657970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + (-596)\/(-84) + -18)*(-6)\/16?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from hmhmqmqqmqqmhhmm?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 608.562m?\nAnswer: 608562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/45)\/(238\/(-459))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - 2*d)*(2*d**2 - 2*d**2 + d**3) + 3*d**4 - d**3 + d**3)*(2 - 4 - 4) to the form m*d**2 + g + y*d**3 + n*d + r*d**4 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 604 - 260. Suppose 0*k - 12 = -3*k. Suppose -2*z + 24 = 2*r, k*r - 2*z - 24 = 2*r. Calculate the highest common factor of o and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -40 - -43 - 114\/40. Let v(g) be the second derivative of -2*g + 1\/28*g**7 + 9\/40*g**5 + 0 + 0*g**3 - c*g**6 + 0*g**2 - 1\/8*g**4. What is h in v(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -158 - -2?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 + 4*y**2 + 120*y\/7 + 144\/7.\nAnswer: 2*(y + 2)*(y + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 977*c**3 + 982*c**3 - 1960*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1293 - 129. What is the units digit of j\/28 + 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/7 and -71\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 7*h + 9. Let r(f) = -4*f - 2. Let q be r(h). Let d be 4\/(-10) + (-17)\/(-5). Solve i - g - 3 = 0, -4*g = -d*i + q + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(170\/(-119)))\/6\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 64260 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 5. Let y = 298 - 303. Calculate f(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 27*b - 29. Let p be u(-10). What is the closest to p in 1, 0.5, -2, -1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309627227 is divided by 1045?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(784))\/(sqrt(80)\/(sqrt(50)\/sqrt(5)) + sqrt(8)))**2 - (1 + sqrt(2) + sqrt(72) + -3 + (sqrt(18))**2).\nAnswer: -7*sqrt(2) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 1, q: 1, y: 3, v: 3}. What is prob of picking 2 r?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - (14 + -4 - 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*a - 138. Let d = -7 - a. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22719728.\nAnswer: 2, 97, 14639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 16*h**3 + h. Give c(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2236.2 + 310\nAnswer: -1926.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3858084?\nAnswer: 2, 3, 139, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 13*x**2 - 2*x - 17. Suppose 64 = -2*t + 6*t. Calculate the remainder when t is divided by l(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 177.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (250\/(-1200))\/((-1)\/4 - 1). What is the second biggest value in 276, -2\/5, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k + 4*k**2 + 2 + 3*k**2 + 2*k**2 + 2*k**2 - 7*k**2. Let g(s) = 3*s**2 + 3*s + 1. Let p(j) = 2*d(j) - 3*g(j). What is p(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24057778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -p + 2*p. Let y = p - 5. Suppose 0 = 5*w - 4*a - 53, y*w + 2*a = -a + 39. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13697, -3, 5, 2\/13, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*w + 21*w - 48*w = 3024 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -20, 0 = -2*m - 0*s + 4*s - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 2230?\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -124496.2 in 0.4, -1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11024 and 299208?\nAnswer: 31716048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 30 = -60. Suppose 0*q + l = 5*z + 2*q, 0 = -z - 5*q + 6. Let t(f) = -f**2 + 6*f + 5. Calculate the smallest common multiple of 8 and t(z).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(384) - 2*sqrt(384))\/sqrt(8) + -4).\nAnswer: 12 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -29*n**2 - 2*n - 4 + 28*n**2 + 4. Let l(r) = 2*r**2 + 3*r. Calculate 4*l(z) + 7*p(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x - 600. Suppose 2*c - x = -0*c. Suppose b = 6*b - c. Calculate the highest common divisor of b and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 839, 1662, 2509, 3398, 4347, 5374?\n\"Answer: 3*r**3 - 6*r**2 + 820*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {t: 6, e: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 3*t + 9. Let f = 65 + -69. Does 10 divide p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {l: 1, h: 4, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Let o = -1.04 + j. Let v = 0.03994 + o. What is v rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/196 - 293\/196. What is the closest to -1 in 0.8, k, -4, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.095 and -5697.\nAnswer: 541.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-35))\/(3094\/(-247520))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 11*o**4\/24 - 55*o**3\/6 + 3*o**2 + 386*o. Let q(z) = 5*z - 28. Give 3*n(j) - 7*q(j).\nAnswer: -2*j + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/153, -3, -5\/3, 0, 5.8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(2 - (-3 + 1)). Let m be (-78)\/21 + j\/14. Let n(g) = g**2 + 2*g. Is 4 a factor of n(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 35. Solve -3*n - 7 + u = 3*r, 3*r + 12 = -n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15363220 by 10.\nAnswer: 1536322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2342 (base 9) to base 15.\nAnswer: -7ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12961*t - 187 + 187 + 46620*t.\nAnswer: 59581*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-3)*h*h)\/((h**3*h)\/h))\/(h*(h*h\/((h\/h**6)\/h))\/h*h*h*h*h**0*h))**21)**(4\/33) assuming h is positive.\nAnswer: h**(-448\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00203829 to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, 4, -1, -4 in decreasing order.\nAnswer: 4, -1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 9 = k, 4*i + 12 = i. Suppose 453 = 4*u - k*a, 5*u + 5*a = 43 + 532. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, -455009, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1205 + 20*w**3 - 1205.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00009 and -5?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 108651557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -148 in 24486, -3, 4, -2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/8*8*9\/(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(315\/(-6))*(-46)\/(6440\/105).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253700 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - (-5 + 31)) + -32 - (37 + 4 + -6).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssxsxxxxxxs. Give prob of sequence xsxs.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 236*w**2 + 137 - 152*w**2 + 319*w**2 + 86 + 14 wrt w?\nAnswer: 806*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/1016675?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 127670623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5822*d**5 - 69862*d**4 + 168814*d**3 + 244582*d**2 + 84*d = 0.\nAnswer: -1, -1\/2911, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/7 - 207444888\/882. Round y to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y - 30*i + 58*i - 30*i = 79, 0 = -4*y + i + 26 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + 11 - (602 - 597)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 10:15 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 15*z + 4. Let r(p) = -3*p**2 - 22*p + 16. Let x(b) = -r(b) + 2*u(b). Determine x(-6).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(40))\/sqrt(8))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/60 - r**4\/2 + r**3\/2 + 18*r**2. Suppose z - 12 = -0*z. Let y be s(z). Solve 2*w + 3*w = 4*x, 0 = 3*x + y*w + 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 336\/11 or 30?\nAnswer: 336\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 94\/(-4) + (-10)\/4. Let g be c\/91 - (-2)\/7. Let k(x) = x. Let m(s) = -s + 6. Let d(w) = 2*k(w) + m(w). Calculate d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 322 - 318. What is the nearest to 1 in -32, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -1293, -2914, -5173, -8064, -11581?\nAnswer: -15718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - (-2 - (-7 - -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 136599?\nAnswer: 136603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -242 - -238. Let p be r*((-10)\/(-4) + -3). Solve -3*l = -p*x - 6, 0*l = -3*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 11}. What is prob of picking 1 j and 1 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/(-476))\/((-18)\/(-6)*2\/(-6))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17989 + -17989.022. Sort 2, z, -0.3, 1 in decreasing order.\nAnswer: 2, 1, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.057 and 3628.02092757.\nAnswer: 3627.96392757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m + 6. Calculate i(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/2*155\/1860.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 - 13 = 2*a, y = -3*a + 43. Let o = 170 + -115. Calculate the remainder when o is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 58. Let t = -831 - -831.5. Which is the biggest value? (a) t (b) j (c) -4\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4608379*b*l**3 - 8*b*l**2 - 600305*l**3 - 2*l + 38 wrt b.\nAnswer: 4608379*l**3 - 8*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uooorooooorrruoror?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 113. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75771945 divided by 2.\nAnswer: 75771945\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 203761 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/3, 0.5, -1, 5\/6 in ascending order.\nAnswer: -1, 0.5, 5\/6, 20\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 o, and 1 x when three letters picked without replacement from {i: 1, t: 9, o: 1, x: 6}.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*s, -2*n - 3*s + 2 = -6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 134*49\/72226*-1375.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e7a (base 15) to base 8.\nAnswer: -23437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -15*d + 120. Let n = -16 + 28. Suppose 816 = -d*l + n*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -307 - -249.85. Let s = m + 54. What is s rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 - -132. Put b, 5, -196 in ascending order.\nAnswer: -196, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = -4*h + 3*c, -3*h - 4*c = -14. Solve -4*b = w - h*w + 10, 3*b - 1 = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 27, -12, 1\/59, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -102, -128, -172, -240?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4383984 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.1. Suppose u - w + 1 = 0, 3 = 4*u + w + 7. Let i = u - -3. Which is the third smallest value? (a) i (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:41 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 551 - 1637 + 548 + 543. Let f(j) = 8*j. What is f(s(m))?\nAnswer: -24*m + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -815106, -1, 24 in increasing order.\nAnswer: -815106, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w + 253 = 2*i, 2*i = -2*w + 238. Find the common denominator of (-91)\/16 - (-2 + 0) and (-59)\/i - (2 + -2).\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1402 and 122499049.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5068759750 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2795121 and 7.\nAnswer: 2795121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*t - 1, s = 3*t + 3 + 3. Let z = 45.106 + -0.106. Let p = z - 49. What is the nearest to t in -1\/4, 3\/5, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3937, 14776, 32835, 58108, 90589, 130272?\nAnswer: 177151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 2:33 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -62665563702.\nAnswer: -62665563698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -1. Let w be (j\/4)\/(1\/(-30)). Suppose -3*s + 9 = 3*r, -5*r - 6 = -4*s - w. Which is the second biggest value? (a) r (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1291, -2575, -3859, -5143, -6427?\n\"Answer: -1284*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -341.902661 rounded to two dps?\nAnswer: -341.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 11:43 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34411 - 178*p - 34411.\nAnswer: -178*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -43 + 67 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05905 times -6?\nAnswer: 0.3543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 18*c**2 - 79*c + 16. Let z be o(7). Solve -2*i - 6 = 5*u, -2*i - z*u - 1 - 5 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3286 - -3288. Solve 3*a - 31 = 5*b, x*b + 12*a = 15*a - 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53\/((-848)\/2080) - (-1 - -2). Which is bigger: x or -137?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2015 and -1248.44.\nAnswer: -3263.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**2 - a - 1. Let y be c(1). Let o = 25 + y. Solve 13*g**4 + o*g**4 + 2*g + 3*g**2 - 30*g**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + 927. Let x be -6 + d\/(12 - 5). What is the highest common factor of x and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*l - 1166, -2*z - 3*z + 4*l = -1462. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.4, 2486\/9, -0.8, -1\/9, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g*g**(1\/2)*g*g))\/g))**(-13)*g**(-5)\/(g*g**3) assuming g is positive.\nAnswer: g**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.5 + -23. Let p = a + 77.5. Let c = 63 - p. Does -86 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*a - 0*a, -4*v = -2*a + 4. What is the units digit of ((-324)\/30 - a)\/((-4)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(10\/(-123)) - 4\/10. Let h = -2 - q. What is the greatest common divisor of h and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 79. Let q = m + 60. Calculate the highest common divisor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = 3*p + 2*p. Suppose -5*w = 3*v + 649, -v - p = 4*w + 315. What is the tens digit of w\/(-6) - 2\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1147, 2, -96, -4, 0, -1 in increasing order.\nAnswer: -1147, -96, -4, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-7)\/(-14)*(-4)\/(-6)*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2319*c**2 + 2216*c**2 - 5054*c**2. Let o(z) = z. Determine o(u(w)).\nAnswer: -519*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5\/5 - 18*s**4\/5 - 42*s**3\/5 - 48*s**2\/5 - 27*s\/5 - 6\/5.\nAnswer: -3*(s + 1)**4*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 5098300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.32 - 135.68. Let n = -0.371 - -134.371. Let s = n + a. What is the nearest to -0.1 in -5, 2\/11, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110345662 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 + 48*i - 32. Let m be n(11). Suppose -m*h = -58*h - 92. Let d be 0\/((-1)\/2*-2). Put d, 6, h in decreasing order.\nAnswer: 6, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/22984 and -111\/10.\nAnswer: 114920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -20 (c) 0.2 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*y - 9 + 5, -5*y + 3*w + 28 = 0. Solve -7*z - y = 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 + 93 - 226)*(18 + 3 + 63)*(-4*k + k + 5*k).\nAnswer: -8400*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3 - 1. Suppose 3*i - s = 4. Suppose 4*z + 25 = -p + 101, 0 = p + i*z - 66. What is the remainder when p is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let o(n) = -4*n**2 - n**2 + 4*n**2 + 3*n**2. Calculate y(o(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2. Let d(i) = -i**2 - 707. Calculate d(r(y)).\nAnswer: -4*y**4 - 707","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -0.11 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.08. Let n = p + -2.98. Which is the closest to 1? (a) 2 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnbj when four letters picked without replacement from {b: 1, j: 1, v: 2, n: 2, u: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and -13520.\nAnswer: -13509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 22*g**2 + 22*g + 21. Let a be d(23). Let i be (14\/(-21) + a\/(-12))*-8. Let r(c) = c**3 - 6*c**2 + 5*c + 3. What is r(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-3))\/(2\/(-24)). What is the highest common factor of 32 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2 - (10 - 5)) + -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*o - 182*o - 14256 = -366*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 16, -13*v + 9430 = 3*n - 8*v. List the prime factors of n.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) 4 (c) -5 (d) -31\/8 (e) -2 (f) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (33 - 33) + 6\/15. Factor -6\/5*c**3 + 0*c - 2\/5*c**2 - 6\/5*c**4 - j*c**5 + 0.\nAnswer: -2*c**2*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 513 and 266?\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/6555*92*20\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4*(6*-1*sqrt(243) - (0 + sqrt(243) + sqrt(243))*2) + 3))**2.\nAnswer: 2160*sqrt(3) + 388809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 59232 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2523500 and 1220100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-1))\/(w**(-3\/8)\/w)*(w\/(w\/(w*w\/(w**(-1)*w)))*w)\/(w\/(w**(3\/5)*w)))**(-38))**(-4\/23) assuming w is positive.\nAnswer: w**(4541\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c + 7 = -k, -4*k + 27 = c. Let v(o) = -o + 15. Let d be v(c). Solve 2*l + 2*t = 4*t - 12, -2*t + d = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30085771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 29*p**2 + 68*p + 20. Calculate x(31).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**3 + 15*l**3 - 16 - 338*l**2 + 16 + 350*l**2.\nAnswer: -2*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 145?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*n + 978 - 2642 = -21*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-8))\/(-5)*(-8)\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7)*2) - (sqrt(190)\/sqrt(10))**2*3.\nAnswer: -57 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 3ab761?\nAnswer: 3ab75e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**4\/4 - 4*u**3\/3 + u**2\/2 + 6*u - 3. Let s = 5 + -10. Is r(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 23\/4*p**4 + 0 - 61*p + 59\/20*p**5 + 0*p**2 + 0*p**3. Find the third derivative of m(s) wrt s.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 35*k**2 + 1437*k + 103. Let v be o(-41). Solve 0 = -45*u - 111 + v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 1543 - 4508 + x**2 + 1586 + 1624)*(2 - 5 + 4).\nAnswer: x**2 + x + 245","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208.245 + 0.245. Let w = -212 - m. Which is the closest to w? (a) 1\/7 (b) -2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.01792 rounded to 2 dps?\nAnswer: -7.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(5)) + -2 + (sqrt(10)\/sqrt(2))**2 - (sqrt(5) + -2 + sqrt(320) + sqrt(320) + sqrt(5) - (-1*sqrt(45))**2))*5.\nAnswer: -115*sqrt(5) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-540)\/12)\/(-5))\/(-6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 - 75.1. What is the third smallest value in q, -4, 0.1, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/80 and 51\/100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 5:37 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**(-2\/23))\/(r*r*r\/r**(-5)*r**3)*(r**(-3\/4)\/r**1)\/(r**(-2\/7))**(-2\/119) assuming r is positive.\nAnswer: r**(-907505\/76636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -5982459 and -34043.9.\nAnswer: -6016502.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26713, -26711, -26709, -26707, -26705, -26703?\n\"Answer: 2*n - 26715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 724084*f**3 + 303473*f**2 wrt f.\nAnswer: 4344504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0*n**3 + 332788284*n - 1 + n**3 - 332788284*n - 2*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -83, -344, -779, -1388, -2171, -3128?\n\"Answer: -87*w**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -70*i - 32. Let j(x) = 71*x + 39. What is 8*g(t) + 7*j(t)?\nAnswer: -63*t + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -7, -3, -2, 5 in ascending order.\nAnswer: -58, -7, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -106*w - 128. Let n be k(-8). Suppose -n*p - 12 = -726*p. Let l(z) = 6*z**2 + 2*z - 2. Let q(o) = 18*o**2 + 7*o - 7. What is p*q(r) - 7*l(r)?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q + 13*q + 9*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 287047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -13) + (-1 - -4). Let r be 4*(-3)\/(-24)*k. Solve 0*h + h = -r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54611.711 days to weeks.\nAnswer: 7801.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + 2*f - 2*f + 2*f**2 - f**2 - 4*f**2 + (51 - 103 + 60)*(3*f**2 + 4*f**2 - 6*f**2) + 5*f**2 - 2*f**2 - 5*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p + p)*(16*p + 8*p**3 - 16*p) + 4*p**4 + p**4 - 2 - 2*p**4 + 3*p**2.\nAnswer: 19*p**4 + 3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 6. Let h(y) = -4*y - 12. Let u be h(-5). What is the smallest common multiple of 4 and g(u)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5319)\/135*-85*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.5 and 0.021.\nAnswer: 0.1995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 != -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11939.08 - -12131. Round b to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.4 (b) 1\/192 (c) -63 (d) 0.5 (e) 3 (f) -7 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154860.092 + 0.1.\nAnswer: 154860.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = f. Let q be -5*(-7 + 5) - 15\/3. Sort q, -3, f in descending order.\nAnswer: q, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 4344?\nAnswer: -4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u - 48 = 0. What is the remainder when 95 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 12:53 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w. Suppose 0 = m - 3 + 1. Let x(k) be the second derivative of -2*k**3\/3 - 171*k. Calculate m*b(u) - 3*x(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31.522858 and 5.546.\nAnswer: 37.068858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*17\/1020*-6\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 83.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q**2 - 73*q + 520. Calculate o(6).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 655, 1047, 1437, 1825, 2211, 2595?\nAnswer: 2977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -153043024 (base 6) to base 16\nAnswer: -313618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -7. Let t = m + -19. Let u(o) = -191*o**2 - o - 1. Let j be u(t). What is j rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0607 - -0.060700607. What is r rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {z: 7, n: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.3. Sort -5, -0.08, t in descending order.\nAnswer: t, -0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 0*w**2 + 2*w**2 - 2*w**2 + 0*w**2 + 0*w**2 + (7*w + 0*w - 4*w)*(0*w - 4*w + 3*w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4520*g + 5 + 0 + 2*g**2 - 9.\nAnswer: 2*g**2 + 4520*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8574739cm?\nAnswer: 8574739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15155 or 34?\nAnswer: 15155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2880)\/(-630)*(-119)\/51*3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * -196.\nAnswer: 10584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4\/(-18) - (-14 + 6896\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*f + 635 + 931. Suppose -18 = 4*v + 10. Calculate the remainder when f is divided by (0 - (v - -3)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - a - 10*a + 0*a as n + x*a and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (521822\/4)\/(3\/114). Let c = u + -2686309. What is c rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**(-26))**(-21) assuming o is positive.\nAnswer: o**1092","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.9? (a) 4 (b) 0.4 (c) -0.9 (d) 2\/9 (e) 5 (f) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o - 5*o + o)*(-120 + 120 + 18*o) to y*o**2 + d + h*o and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 6*a**2 + 5*a - 1. Suppose -6*f = -2*f - 5*s + 1, f + 4 = 5*s. Let l be (-3)\/(9\/(-2) + 4). Let n = l - f. Give h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + 332*o - o**2 - 2 - 333*o + 5*o**2 to the form r*o + t*o**2 + n + a*o**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 5*p - 2. Let q be z(-5). List the prime factors of q\/((-16)\/1308) - 3\/(-6).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ighyilyww. What is prob of picking 1 g, 1 i, and 2 y?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*n + 7, -y + 5 + 2 = -2*n. Suppose -y = -2*h - 1. Solve h*s + 2 = 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/35)\/2*(-47)\/(-141)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195 + 192. Suppose -d + 2*t - 11 = 0, -d - 5*t + 26 = -2*d. What is the closest to d in j, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2*d + 145597 - 145609, -3*b + d + 4 = 2*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -41*((-5)\/(5\/69) - 4). What is the third derivative of 5 + 10*m**6 + 4*m**3 - 2767*m**2 - 5 + v*m**2 wrt m?\nAnswer: 1200*m**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -459*u**3 + 6*u**2 + 7*u - 1 + 932*u**3 + 2*u**4 - 498*u**3 - 8*u to the form t + m*u**3 + d*u + l*u**2 + q*u**4 and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8823 and 88230.\nAnswer: 88230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 2 - 24\/(-2). Suppose r = m + m. Suppose v + 2 = m, -g = v - 11. What is the lowest common multiple of 4 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-154)*(-8)\/(-6))\/(-2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 333, 668, 1005, 1344, 1685, 2028?\n\"Answer: h**2 + 332*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24926 - 23621. What is the remainder when g is divided by 70?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -302032140*t - 316864847 wrt t?\nAnswer: -302032140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1955420900.\nAnswer: 2, 5, 23, 47, 18089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -5)*(-10)\/(-14 - -74). Which is the third biggest value? (a) 7 (b) g (c) -2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 216*a**2\/5 - 7323*a\/5 - 5180.\nAnswer: -(a + 4)*(a + 37)*(a + 175)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1258\/7 - -180. Factor -a - 2\/7*i**2 - 4\/7*i.\nAnswer: -2*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 5*t + 1. Let h be r(4). What is the common denominator of (356\/(-16))\/(-1 + h) and -41\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(-22*s**2 + 22*s**4 - 24*s**4 - 3*s**5 - s**2).\nAnswer: -9*s**5 - 6*s**4 - 69*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906884 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 601*v**2 + 3800*v - 12. Give f(-6).\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r**2*s**4 + 21*r**2*s**2 + 3*r**2 - 11*r - 3*s wrt s.\nAnswer: -4*r**2*s**3 + 42*r**2*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.99 - 4. Which is the third biggest value? (a) -0.4 (b) y (c) -1\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 t when four letters picked without replacement from {y: 1, t: 6, c: 7, j: 3}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-5500)*3*30\/(-54)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-10))\/((-52)\/(-260)). Let i be 6 + 62*3\/(-30). What is the biggest value in i, b, -24?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/204)\/(4\/(-256)*2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9981598 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 3\/5, -4\/3, 0.28, 469, -0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, 5, 3, -14641, 1 in ascending order.\nAnswer: -14641, -12, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40052708 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 16. Let a be p(19). Suppose 2*b - 106 = y - 3*y, 0 = 2*y + a*b - 105. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 70. Let x be 2\/5 - (-114)\/k. Let d(w) = -w**2 - 11*w + 3. Does 3 divide d(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 175322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366 + 3*d + 377 - 743.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 4*g**2 - 8*g - 6. Let n be k(6). What is the units digit of 29\/(-9) - n\/(-81) - -144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z + 5. Let s be g(2). Let h = -254\/3 - -97. Find the common denominator of s\/2*(-8)\/(-11) and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52424.3 grams in kilograms?\nAnswer: 52.4243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122204 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176423725 to the power of 1\/2, to the nearest integer?\nAnswer: 34299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204 (base 7) in base 4?\nAnswer: -12331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4 + 6 = 0. Let y = 10 + 19.6. Let f = -30 + y. Sort f, -0.1, g.\nAnswer: g, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -28*z - 1. Let o be t(1). Let k = o - -53. What is the lowest common multiple of 24\/(-20)*40\/(-24) and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-50)\/(-20))\/(2\/184). Let i be m\/(-180) - (-2)\/(-9). What is the nearest to 2\/5 in i, 6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13*s - 199. Calculate t(-18).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63201*o*x**2 - 83*x**2 - 239*x wrt o?\nAnswer: -63201*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88772310 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 55*i + 268. Let z(y) = -3*y + 3. Let q(a) = -m(a) - 4*z(a). Differentiate q(n) wrt n.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/(-80))\/((-6)\/148) and 7\/(-21) + (239\/42 - -1).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/468 + (10 - 616\/63).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9 = o, -4*o = -3*o + 4*q - 7. Let h(v) = -9*v**3 + 4*v**3 - 11*v**2 + 4*v**3 + 2. Let f be h(-11). Solve -o = -3*s - f*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -653779*l - 1307567. Give o(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, k: 1, i: 6, c: 4}. What is prob of picking 1 c and 1 i?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2201 + -2201. Let w(g) be the first derivative of -g**2 + 2 - 5\/3*g**3 + f*g. Find the second derivative of w(d) wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7638 - 7636. What is the closest to -35 in -1.6, -5, p, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + x + 1. Let v be -3 + (7 - -3 - -3). Let i = 8 - v. Calculate q(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 174*m - 167*m = -2, 0 = v - 2*m + 2 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9410 + 148 = -162*t for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -937873*f**3*k**3 + f**3*k**2 - f*k**3 + 50*f*k**2 - 43*f - k wrt f?\nAnswer: -5627238*f*k**3 + 6*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q = 114 - 379. Let f(s) = 6*s - 1. Determine f(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1842231.358532 - -1842226. Let y = b - -5.1686. Let t = y + 0.19. What is t rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 2. Let o be b(-10). Suppose -97 = 4*f - 29. Is o bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5448958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -351bc?\nAnswer: -351b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) -0.4 (b) -5 (c) 310 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.56264 centuries to millennia.\nAnswer: 0.256264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*y - 59 + 14, a = 5*y - 53. Let w(k) = 9*k - 85. Let r be w(y). Solve -5*v - 25 = -3*f, -r = -3*f + v + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 17*f**2 + 27*f + 35. Let z be k(17). Let j = z + -578. Which is smaller: j or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -496 (b) 1 (c) -0.2 (d) 0 (e) -2\/3 (f) -1\/2 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6483736*f**2 + 6483730*f**2 - 12967462*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u - 6. Let x(n) = -7*n - 5. Let v(s) = -5*k(s) + 6*x(s). Let p(c) = -11*c**2. Calculate p(v(q)).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - z + 1. Let m(c) = -c**3 - c. Let p(o) = 3*m(o) + y(o). Let b be p(-3). Suppose -2*a + 0*a + b = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -18 + (1 + 0 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 9*h**2 + 5*h + 16. Let c be q(5). Which is smaller: c or 152\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - s - 3. Let g(c) = -3*c - 30. Let n be g(-13). Suppose n*i = 2*i. What is j(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5554837097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -1 (b) -5\/6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(891) + sqrt(891) + 0) - (6*((sqrt(891) + 0)**2 + sqrt(891) + sqrt(891)) - (sqrt(891)*1*-2 + sqrt(891)))) + 1.\nAnswer: -5345 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.04 - -0.04. Let s = 117947 - 117942. Let k = 0.2 + -0.3. What is the second biggest value in n, k, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4845)\/(-225) - 21)\/((-8)\/(-6) + -1). Let f - 6\/5*w + 1\/5*w**2 = 0. Calculate w.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**3 - 4*g**3 - 5*g**3 + (-g**2 + 9*g**2 - 2*g**2)*(-1 - 3 + 2)*(0*g - g - g) - 56*g**3 - 3*g**3 + 136*g**3.\nAnswer: 98*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215 + -215.3. Let o = b + -37.1. Round o to 0 dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 210, 214, 228, 258, 310, 390, 504?\n\"Answer: r**3 - r**2 + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50944799 + -50944798.70118247. Let a = -0.2988 + o. What is a rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 9*o**5\/20 + o**4\/3 - 7*o**2\/2 + 4*o. Let b(r) = -13*r**3 - 6*r**2 + 10. What is 5*b(n) + 7*i(n)?\nAnswer: -2*n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x - 2*x - 3 - x in the form t + i*x and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4938736 and 408496.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 - x - 6. What is the remainder when a(3) is divided by (2 - -8) + 0\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68 * -41.92.\nAnswer: 2850.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 262 - 263. Let s(r) = 2*r + 1. Calculate s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 1. Let w be x(1). Let q = -1 - w. Solve -3*a = 4 + q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/14? (a) 0.1 (b) 33 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 26 = 313993*g - 313989*g, -g - 3*c + 11 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:20 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 995616.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6901752 to the nearest integer?\nAnswer: 2627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j**2 + 8*j**2 + 28*j**2 + 19*j**2.\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*o**5 + 10635*j**3*o**4 + 1021*j**3*o - 6*o**2 wrt o.\nAnswer: 120*j**3*o**2 + 255240*j**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1278, 1264, 1252, 1242, 1234, 1228, 1224?\n\"Answer: g**2 - 17*g + 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13257657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3 - 3*y**2 - 36*y = 0.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 2*a**2 + 1. Let n be (-5 + 108\/20)*(-30)\/(-12). Let c(z) = z**3 - z**2 - z + 1. Let x(o) = n*c(o) + 2*b(o). What is x(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 39 + 21*f**2)*(-2*f + 2*f + f**2) + 8*f**4 - 2*f**4 - f**4.\nAnswer: 26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 4 (b) 1\/3 (c) -0.4 (d) -78 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 1831856?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*v - 107*v = -209*v. Solve v = 2*q + g + 7, 4*g - 4 = -4*q + 8*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 18*a = 0. Suppose -z + a - 4 = 0. Let v = 15 + -10. Put v, z, -5 in descending order.\nAnswer: v, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.5 (c) 0 (d) 1.05 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -94? (a) -0.05 (b) 5 (c) 25\/7 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674, -676, -678, -680?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 5. Let l be k(-4). Let p = l + 1. Let d be (-34)\/(-4) + p\/(-4). Solve -n - d = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**4 + j**3 - 1066*j**2 + 7*j + 926348 wrt j.\nAnswer: -4*j**3 + 3*j**2 - 2132*j + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49892 is divided by 378?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*u - 130, 4*u - 860 + 180 = -5*i. Suppose i = 10*p + 30. What is the remainder when 151 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(5\/(-400)*1). Suppose -3*c = c - 24. What is w in y*w**3 + 7*w**2 - 2*w - 4 - 78*w**3 + 3*w**2 - c*w**4 = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6 - 2*z**2 - 2*z**2 - 4 + 8*z**2 - z**3. Let b be l(4). Let j be b\/7*3\/2. What is the closest to 1 in j, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -38\/301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 6. Give c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62864, 62865, 62866?\nAnswer: 62867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 29145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576847008.\nAnswer: 2, 3, 31, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 1404.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3\/2 - s**2 + s\/2 + 1 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*-1 + 0 + ((5*sqrt(112)*-1)**2 - sqrt(112)) + (2*sqrt(112) + 0)**2*-4 + 0.\nAnswer: -8*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 0*h**2 + 3*h**2 + 0*h**2 + 0*h**2 + h**2 + (2*h + h - 5*h)*(-h + 3 - 3) + 74 + 85*h**2 - 74 + h + 2*h**2 - h.\nAnswer: 91*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(40)\/(sqrt(5)*1) + sqrt(8) + sqrt(8))\/sqrt(4).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 77396*l**2 + l**3 + 2*l + 77283*l**2 - 19*l as i*l**2 + h + s*l**3 + d*l and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-3)\/3)*5. Let h be 2\/(-9) + 626\/(-18). Let n be h\/10 + -4 + 8. What is the nearest to n in 2\/11, m, -1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-6)\/(-18)*1089\/22)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, m: 1, o: 2, d: 1, e: 1, p: 3}. Give prob of sequence ao.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 1\/60*w**5 + 0 + 5\/2*w**3 + 3\/2*w**2 - 1\/24*w**4 - 9*w. Let f(c) be the first derivative of m(c). Determine f(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 3)*(2*r - r + r).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84228 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -14538*(1 - 2)*17. Find the second derivative of 0*z + 162*z**4 + 5*z - a*z**2 + 247146*z**2 + 2 wrt z.\nAnswer: 1944*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 426 and 4899.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9461 - -34858. Is s a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1084149.9222208898 - -25123.4877794402. Let u = i + -1109275.41. Let b = u + 2. What is b rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/20)\/(56\/35). Let c be 4\/6*(-12)\/(-32). What is the nearest to c in 0, 2, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*h**2 - 170*h**2 - 11518*h**3.\nAnswer: -11518*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/((-23)\/(-138)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234276533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 20\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 33*n**3 - 4*n - 2. Is m(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-783)*9)\/((-1)\/60*1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7160881.647 minus -5?\nAnswer: 7160886.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/((-60)\/(-135)). Sort 3\/7, 2, k in descending order.\nAnswer: 2, k, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -754291.05 to the nearest 100.\nAnswer: -754300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wamdqzzzmqmzwzamza. Give prob of sequence qd.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 32*z = 106 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 21054 + 2186 = -52104. What are the prime factors of q?\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/240 - t**4\/96 - t**3\/12 + 24*t**2. Let i(g) = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -20.745\nAnswer: -10.3725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427 + -427.0433. Let k = q + 0.056. What is k rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*m - 44160 = -345*m. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 3*p - 2*l - 18, -3*p = -2*l + 10. Let v = 90 - p. Suppose -2*g = -k - 107, -2*g - 4*k = 12 - v. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 4*o**2 + o - 3. Let k be r(4). Let w be 6 + (1 - (k - -1)). What is the greatest common divisor of w and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 223067966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**3 - 95*g**2 + 209*g - 4. Let k be v(-21). Let h(z) be the second derivative of 2*z**2 - z**3 + 0 + k*z + 1\/6*z**4. Factor h(j).\nAnswer: 2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32270 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 eighth root of 25705 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u + 65 - 143. Factor -86 + 45*x + 22 + 38 + 26 - u*x**2.\nAnswer: -3*x*(2*x - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r. Let i(x) = 7*x**3 + 7*x**2 - 9*x - 3. Let o be i(2). Let v(w) = -175*w. Calculate o*d(h) + 4*v(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 - 87 = 33*f + 151 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232\/(-4312) + (-184)\/(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 20.1, 3\/8, -1, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87771457 and 2283?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 2*h + 1. Let k(y) = -y**2 - y. Let l(g) = -6*d(g) - 5*k(g). What is l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268251062 divided by -2.\nAnswer: -134125531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 106 - -20?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 30, -20, -12, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 7*m + 1. Let a be q(-6). Suppose a - 1 = 5*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (102\/12)\/(-17)*0\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45404310 and 5?\nAnswer: 45404310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17*12\/102 + 7\/(-3). Suppose -8*r - 124 = -3*r - 2*w, r = -2*w - 20. Let p be ((-1)\/2)\/((-4)\/r). What is the nearest to k in p, -1\/10, 1\/6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d - 3*d)*(-d - 2*d + 4*d + (4 + 3 - 5)*(d + 0 + 0) - 2 + d + 2 - d + d + 3*d).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -131, -134, -147, -176, -227, -306, -419, -572?\n\"Answer: -d**3 + d**2 + d - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12 = 4*n, 4*p + 5*n = -3 + 24. Let d(y) = -p*y - 42*y + 11*y - 7 - 14*y. Is d(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*m = -18320000, -6*t - 4*m = -5*m - 109920000. Round t to the nearest 100000.\nAnswer: 18300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 2. Let u(q) = -q + 1. Let d(c) = -8*c**2 + c + 6. Let v(m) = -d(m) + 6*u(m). Let b(a) = -7*a**2 + 6*a. What is k*b(s) + 6*v(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 y, and 1 l when three letters picked without replacement from {w: 1, v: 5, y: 4, p: 1, k: 1, l: 1}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s + 28 = 30*s. Solve -s*p + 2*p + g = -22, -10 = -2*p + g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58572 is divided by 3061.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -6*i + 26. Let u(f) = -20*f - 10. Let w be u(-1). Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470272609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*s**5 - 32*s**2?\nAnswer: 8160*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -6 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 24 = -5*a, -3*a + 164*d - 169*d - 2 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let b(x) be the third derivative of -271*x**4\/6 + x**3\/6 + 5547*x**2. Give b(h(i)).\nAnswer: 1084*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 2*i - i + 177 + i**2. Suppose x + x = 4*v + 8, -4 = 2*v. Is y(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 35*g - 102. Let w be j(9). Let v = 215 - w. Solve -3 = v*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*o - 5*l = -733*o + 2, 8 = o - 2*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s - 13. Let z(o) = -2*o**3 - 5*o**2 + 16*o - 6. Is z(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320987 and 17711.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 + 83 - 0) + -12 + -22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*o - 55*o + 40. Let c(x) = x + 33. Let z be c(-13). Let a be (32\/z)\/(4\/70). Solve 0 = 4*b - o + 26, -a = -4*j + 2*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 6 = 5*k. Let n(j) = j**3 - 5*j**2 - 6*j + 1. Determine n(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3487360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13992 divided by 318\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4*i + 8 = 0, 4*m - 18 + 8 = 2*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*y - 315, -126 = -2*g + 2*y + y. Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200123020 (base 4) in base 7?\nAnswer: 1062124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6)*(-9)\/(-2). Let i(n) = n**3 + 9*n**2 + 13*n - 1. Let u be i(-7). Is r less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 5*j + 2*j = 0. Solve -12 = 4*o - j*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65) + 4*sqrt(65)*1)\/(sqrt(5) + sqrt(5) + (sqrt(5)*4 + sqrt(5))*1 + sqrt(5) + sqrt(5)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(68) + -5)*2.\nAnswer: -20*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.64 * -0.293\nAnswer: -0.18752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*c - 43 = 0, c = -3*b + 50 - 5 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 7) in base 2?\nAnswer: -101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 770.2837us?\nAnswer: 0.0007702837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 15, r: 4}. What is prob of picking 2 r?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 13*c**2 + 34*c - 21. Let q(m) = 19*m**2 + 48*m - 32. Give 5*q(x) - 7*y(x).\nAnswer: 4*x**2 + 2*x - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**4\/4 - 7*n**3\/3 + 3*n**2 + 6*n + 4. Calculate u(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 1013911 + 3*l - 1013911 + 7*l - l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0 + 6. Suppose -n - 140 = z*m, -136 = 5*m + 4*n + 88. Let r = -29 - m. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-7)\/21)\/(5\/(-42)*1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7bb20dc - 1?\nAnswer: 7bb20db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13976, 13975, 13974, 13973?\nAnswer: 13972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 66. Let o = -34.5 - b. Let w = -22 - -18. What is the closest to 1\/2 in 0.4, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52679, 105353, 158027?\nAnswer: 210701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, p: 2}. What is prob of sequence pjpj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/8 in -3, 2, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -21) + -6 + -10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 59842.3 to the nearest one hundred.\nAnswer: 59800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {n: 1, i: 3, r: 1, x: 10}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 - 2 = 0. Let n(r) = -r**3 - 7*r**2 - 5*r + 7. Let z be n(-6). Let v(y) = 4*y**2 - 4*y. Let c(m) = m. Let b(d) = z*v(d) + 4*c(d). Give b(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -182 and -2380\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2319 is divided by 768.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 83, 118, 171, 248?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 - -4.87. Let k = -4.8 + r. Let u = 1.8 + -2. Which is the nearest to u? (a) -3 (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18548701.92ms in weeks?\nAnswer: 0.03066915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553381189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 12. Suppose -5*k = 7*j - 3*j - 3, -3*j - 5*k - 4 = 0. Let b = y - j. Solve 3*x + b = -x + r, 5*x - r = -7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2105 - 1063. What are the prime factors of c?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k + 20 + 554*k**3 + 2029*k**3 - 4*k**2 + 16 - 26. Let v be c(-5). What is v rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(32)\/(sqrt(12)\/sqrt(3)))\/(sqrt(256)*2) + 5 + -1)*6 + 5.\nAnswer: 9*sqrt(2)\/4 + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20837 and 1675.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6468 + -0.01?\nAnswer: 6467.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 15. Suppose -32 = -3*t - m. Let c(k) = 0*k - 8 + t + 2*k. Let y(f) = 4*f. Calculate c(y(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/4*(-270930)\/35595. Let g = l - -293\/14. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -74*y**3\/3 + 967*y**2\/2 - 4*y - 2. Find the first derivative of h(b) wrt b.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) -1 (b) 2 (c) 0.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80546.3 decades in centuries?\nAnswer: 8054.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 4*o - 2. Suppose -3*y - j + 90 - 86 = 0, y = -j + 2. Let f(d) = -d + 1. What is y*s(k) + 2*f(k)?\nAnswer: -3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (0 - -14) + -2. Is 8 a factor of 344\/10 + 6\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 13. Let k = -30 - a. Let j(r) = -r**2 - 5*r + 2. What is the remainder when k is divided by j(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 - 179. Calculate the greatest common divisor of 45 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 15*q**2 - 15. Calculate a(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*s**2 + 8759*s - 8759*s - 3*s**3 - 709*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1360.995 and 0.119.\nAnswer: -161.958405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, -5, -4, 5, -1146 in decreasing order.\nAnswer: 11, 5, -2, -4, -5, -1146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4303?\nAnswer: 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/7 - 3232*b**2 + 225992*b\/7 + 542496\/7 = 0. Calculate b.\nAnswer: -2, 12, 11302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 20993.52 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23030 = -4*h - p - 23036, 5*h - 2*p + 27 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*p - 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = -6*i + i, 2 = 2*j - 5*i. Is j bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383.4637 rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 76 + 71. Suppose s = 2*g - 10, -25 = 3*s - 8*s - w*g. Let -b**2 + s*b**2 - 30*b**2 + 9*b**3 - 24*b + b**2 = 0. What is b?\nAnswer: -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b - 3. Let y(x) = 3*x**2. Let u = 1 - 0. Let a be y(u). Let g(o) = 4*o + 2. Determine a*d(v) + 5*g(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 28*k**2 - 6*k - 86. Let t be z(-14). Let y = 10 + -13. Let r = 3.1 + y. Which is the biggest value? (a) t (b) -4\/7 (c) 0.6 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, -49, -270, -695, -1390, -2421?\nAnswer: -3854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/30 - 13*t**5\/60 - 5*t**4\/12 - 2*t**3\/3 + 8*t**2. Is w(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118185879*r**4 + 176*r**2 + 124704 wrt r.\nAnswer: -2836461096*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14 + o**2 + 20 + o + 21 - 55. Let x(v) be the third derivative of -1\/4*v**4 + v**2 + 0*v - 1\/12*v**5 + 0 + 0*v**3. What is -6*u(d) - x(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a millennium?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 19*(-1)\/(-1) - (187 - 189).\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30.4? (a) 1\/5 (b) 4 (c) 0.08 (d) 0.07 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*t + 1933 = 220*t - 6600 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 + 5. Let q(n) = -3*n**2 + 0 + 4*n**2 + 1. Let c be -5*(-15)\/(-10) - (-4)\/(32\/12). Calculate c*g(j) + 30*q(j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.32555008 and 159.44.\nAnswer: 154.11444992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27598584 divided by -16536?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 2 - -12) + -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 36*o = 0. Sort o, 16, -3 in descending order.\nAnswer: 16, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16293.\nAnswer: 3, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 651.7385 hours in minutes?\nAnswer: 39104.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -148.49 * -0.097\nAnswer: 14.40353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*z + 42*w - 39*w, -468 = 77*w - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + 11*s + 7. What is u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 68*p**2 - 134*p + 147. Give g(66).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1319183077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81765 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzmzzmmmzm. Give prob of sequence mmzm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c + 5. Let b be j(-2). Let t = 13 + b. Suppose -5*n + 5*p + 10 = 0, -3*p - t = -5*n + 3*n. Let m(u) = u**2 + 14. What is m(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1301418 to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 32. Let c(o) = -15 - s + 1 - 5*o. Let x(a) = -a - 4. What is 2*c(w) - 11*x(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-60)*6)\/(2\/20). Suppose -4*i - 4 = -3*z - z, u*i = -5*z + 45. Put -2, 6, z in decreasing order.\nAnswer: 6, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {q: 4, i: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 7*s**2 - 19*s**2.\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001110110000111 (base 2) to base 6.\nAnswer: 11515423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1247 and 2752.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410103 divided by -6?\nAnswer: -136701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*v**3 - 3 - 8352*v**3 - 412*v**3.\nAnswer: -8943*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4098 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 13*o**2 - 12*o + 3. Let v be c(12). Suppose -v*f = -6*f + 15. Solve 2*b - 9 = 5*k, -f*b + b - 24 = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/60 + l**4\/12 + 2*l**3\/3 + 411*l**2. What is f(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 14*k. Let j(u) = u**2 + 5*u. Let r(g) = -11*j(g) + 4*v(g). Calculate r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/7)\/((w\/w**(-3\/8))\/w)*((w\/(w\/w**(-2)*w)*w)\/w*w)\/((w\/w**(-14)*w)\/w*w))**(-5) assuming w is positive.\nAnswer: w**(4905\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.750765l to millilitres.\nAnswer: 1750.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 608*t**3 + 4*t**2 - 3. Let z be o(-1). Which is smaller: z or -606?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 70*s + 72.\nAnswer: -2*(s - 1)*(s + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45582 - 2721 = -1250*j - 17139 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21883.23 decades to months.\nAnswer: 2625987.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 25 = -269. Does 10 divide w\/(-12) - (-2)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 8*h**2 - 8*h - 6. Let f be k(-7). Solve -f = -m + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -15 in descending order.\nAnswer: -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 8*c**3 - c**3 - 2*c to the form v*c + l*c**2 + x*c**3 + p and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 - 13*i**2 - i**3 + 2 - 4*i**2 - 80*i**4 + i**2 + 82*i**4 + 8*i to q*i**3 + j*i**4 + t*i**2 + d*i + p and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*i - i + 217 = 0, 4*i = 8. Suppose -7 = -2*f - 3*a - l, 4*a = -5*f - 148. Let u(x) = x**2 - 7. Let d(s) = 1. Determine f*d(y) - 4*u(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 10*k - 15. What is the tens digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000177301985 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**3 - 2*z**2 - 11*z - 30. Let v be n(-3). Let d = -171 + v. Solve -d*x + 15 = -6*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1326 = -16*y + 10*y. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41261 - 41261.4. Which is the smallest value? (a) -1 (b) p (c) 0.15 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 6*m + 32. What is the least common multiple of 38 and v(8)?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -525, -516, -507, -498?\n\"Answer: 9*d - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from pphfo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2903\/4 or -725?\nAnswer: -2903\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 + 154. List the prime factors of (114\/(-9))\/(a\/198).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2749478.\nAnswer: 2, 17, 193, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**26*t\/t**(-20\/11)*t**(-3\/19)*t*t*t*t**(11\/6)*t assuming t is positive.\nAnswer: t**(43255\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8456.5 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5. Let t(i) = -8*i - 4 + 11*i**2 - 12*i**2 + r*i. Let b be t(-7). Solve -b*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 4. Let m be n(6). Suppose -5*h + 111000 = -3*u, -m*u - 74000 = -4*h + 2*h. What is u rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a centimeter in millimeters?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20*(-1)\/(-360)*522 + 19)*(-1)\/2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 242*u + 10671. Calculate h(-82).\nAnswer: -2449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -274 - 6073?\nAnswer: -6357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6 and (-8112)\/(-1944) + 0 + -4.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:33 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 a factor of 817433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23065*c**4 + 2*c + 86171.\nAnswer: -92260*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 1688 - 584. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11248 - 3232 = 12*m - 28*m. Which is smaller: 903 or m?\nAnswer: 903","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 73.1. Let c = v + 7.1. What is the biggest value in -1, 1\/13, -4, c?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 13004559?\nAnswer: -182063826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -280.44 - -280. Let d = m + 1.44. What is the nearest to -0.1 in 1\/3, d, 6\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1366 - 869. What is the hundreds digit of f - (-4 + (-4 - -11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -20003222114?\nAnswer: -20003222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(6\/13)))\/(r*r*r**23*r))**21 assuming r is positive.\nAnswer: r**(-6972\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*c + 528 = 0, 0 = -0*g + 5*g - 2*c - 2588. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 17 - 3. Let q = j - 3. Factor 6*r + 2*r**3 - 6*r**2 + q - 6 + 2.\nAnswer: 2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**3\/3 + 4*i**2 - 9*i + 3. Let u be t(6). Solve -o = -2 - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9173, -9167, -9157, -9143, -9125, -9103?\nAnswer: -9077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -44. Suppose 5*v + 2*y - 4*y = -u, -2*v + y - 7 = 0. Suppose 16 = -2*t + 6*t. Which is the nearest to v? (a) t (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 47*r**3 + 25*r**2 + 21*r - 292. Give j(3).\nAnswer: 1265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2\/17, 0.9503, -1\/5?\nAnswer: 0.9503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 5 - 104*o + 1887*o)*(5*o**3 + 8*o**3 - 4*o**3).\nAnswer: 16047*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by (-3 + (-35)\/(-10))\/((-1)\/(-56)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2. Let b(q) = 713*q**2. Calculate b(h(j)).\nAnswer: 6417*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - s + 0*s - 425 - 450 - 7.\nAnswer: -s - 774","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 76399 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kooo when four letters picked without replacement from {o: 3, p: 6, k: 4}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 108786869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*z**3 - 2*g**3*z + 190827322*g*z**3 + 11323069*z wrt z?\nAnswer: -6*g**3*z + 1144963932*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 6*p - 4. Let n(s) = 2*s**3 + 9*s**2 - 6*s + 3. Let i be n(-6). Calculate the remainder when 6\/12 - i\/6 is divided by x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149906 = 20*a + 14*a - 114002. List the prime factors of a.\nAnswer: 2, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 910 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 13*t**2 + 4*t + 16. Suppose 0 = 3*d + 2*q + 33, -5*q + 2*q - 43 = 4*d. Let w be o(d). Let c = -25 - w. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2651301 - -2?\nAnswer: 2651303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2118 is divided by 351?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/1*(-2 - -2))\/(-2). Is -10\/37 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/21 + (-7328)\/14. Let h = -301 - g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 2*r**4 + 2*r**4)*(-3 + 3 + 2)*(0 - 2 - 5).\nAnswer: -56*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27, 4, -3 in decreasing order.\nAnswer: 4, -3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/9 - 4\/(-6). Let f(a) = 2*a**2 + 4*a + 5. Let j be f(q). Let i = 35 - j. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41560*r**5 - 79*r - 28 wrt r?\nAnswer: 831200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23785534 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4286000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373*x + 376*x = 24. Solve -3*z - x = 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861500 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 3:49 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333 + -288. Suppose -8*o + 13*o = -g. Let u(t) = t**3 + 9*t**2 + 7. Calculate u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379263.\nAnswer: 3, 126421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 15507 = 273073. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1861619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -11 + 2*l + 6 + 4. Suppose 16 = 3*q + 1. Let i be j(q). Solve -i = f - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 - -0.5. Let c be (16\/(-60)*6)\/((-4)\/(-10)). Let k be (c\/10)\/((-5)\/(-50)). Sort -3, k, z, 5 in decreasing order.\nAnswer: 5, z, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78527?\nAnswer: 19, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 7, -9, -43, -101, -189?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100634 - -25?\nAnswer: 100662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 359 = p, -6*p - 167 = x - 4*p. Let t = 185 + x. Solve 0 = 3*o + t + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 0 - 1\/9*t**3 + 25\/3*t + 74\/9*t**2 = 0.\nAnswer: -1, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2868786 and 4462556.\nAnswer: 40163004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 + -3.86. Which is the third smallest value? (a) i (b) 3\/11 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 54 + -172 + 40.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Suppose n + 16 = b*j, -3*j + 0*n = 2*n - 10. What is the smallest common multiple of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*w**4 + 4*w + 46*w**4 + 3*w**3 - 3*w as v*w**3 + f*w + u*w**2 + d*w**4 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 6*u - 6. Let q(v) = 9*v + 3*v - 6*v + 7*v + 13 + 3*v**2. Let h(w) = -2*q(w) - 5*r(w). Let x be 2\/5 + (-18)\/(-5). Calculate h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18296 divided by -4574?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 2 - 150 = 148 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 4*o + 17*o + (-1 + 1 + 1)*(-6*o + 3*o + 4*o) - 3*o - 2*o + 4*o + (-6*o + 3*o + o)*(0 + 1 + 0).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43649330 a multiple of 2754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9704705 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = 28*h - 156. Let a be (-3)\/12 + 10647\/28. Suppose -6*j + 11*j = a. Calculate the remainder when j is divided by h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 0*m + m + 0*m - 1 + 360002*m**2 - 2*m. Let s = -1 + 2. Let w be d(s). Round w to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -25335 and 156.\nAnswer: -25179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 182, 0, 2 in increasing order.\nAnswer: 0, 2, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**5\/20 + 10*i**2 - 2*i. Let l be y(0). Suppose -2*d + 0*d = 5*k + 11, -l = 4*k. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 496 - 509. Let q(x) = -3*x**2 - 46*x - 58. Let w be q(s). Are w and 159\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Suppose 33 - 5 = 2*b - 2*p, 2*p + 9 = b. Let y = b + 1. What is the least common multiple of l(4) and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, c: 1, d: 8, z: 2, i: 2, t: 2}. What is prob of sequence cizt?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 13. What are the prime factors of (-1)\/((-3)\/162) + l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 6*q + 2906. Determine w(57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 4*s = 27. Let c = s + 12. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/60 - 35*b**4\/24 + 131*b**3\/6 + b**2 + 19*b. Let s be z(31). Which is greater: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(20 + -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzzbftffbjbstsb. What is prob of sequence tzjt?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 8. Suppose -11*j - 1894 = -2015. Calculate y(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(19) + 1)*4)**2*2*3*-1.\nAnswer: 384*sqrt(19) + 3840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 1, v: 1, k: 3, n: 3, g: 3}. Give prob of picking 1 v and 1 g.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3060971043 to the nearest integer?\nAnswer: 55326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -19*j**2. Let o(t) be the third derivative of 0*t**3 - t**2 + 1\/8*t**4 - 7 + 0*t. Give m(o(s)).\nAnswer: -171*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 - 1296948*p**2 - 3*p + 1296948 = 0.\nAnswer: -1, 1, 432316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.108 + 0.608. Which is the second biggest value? (a) u (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(4) + (sqrt(12)\/(sqrt(3) + (sqrt(3) - sqrt(18)\/sqrt(6))) - sqrt(4)))\/sqrt(2) - (1*sqrt(72)*-2 + 0).\nAnswer: -1 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 16. Let z be i(-14). Suppose 0*o - 203 = -z*o + d, d = -1. List the prime factors of o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/22*4\/18?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9889600 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 22\/37 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 15*y = -36. Solve 4*h = -y*h - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-9))\/(1\/12). Suppose 0*w - 132 = -4*w + g, u = 5*g. Which is bigger: 32 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 106 - 106 + 8*w + 189 - 4*w**2 as l + x*w**2 + o*w and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p**2 - 2*p - 7. Let v(s) = -s**3 - s**2 - 2*s - 2. Let m be v(-1). Suppose -2*q + 4*z - 14 = -m*q, 3*q + 11 = -4*z. Is b(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Suppose -24 = 2*k + 2*p, 3*p - 24 = h*k - 3*k. What is the units digit of 2*(k\/(-6) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 2*i - 33. Suppose -i*y + 0*y - r + 130 = 0, -5*y - 4*r = -219. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 801, 1606, 2413, 3222, 4033, 4846?\n\"Answer: x**2 + 802*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 38*w\/15 - 16\/3.\nAnswer: 2*(w + 8)*(3*w - 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1 - r**2 + 6*r + 4*r - 4*r - 2. Let h be (-10)\/65 - 148\/52. Let x(k) = -2*k - 3. Let t be x(h). Calculate w(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51961\/5016 + 10\/627. What is the common denominator of h and 97\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/627 + 118\/(-76)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1292)\/(-51) + 1421\/147.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14*(-3)\/(-8))\/((-15)\/(-40)). Is 66 a factor of 10020\/8 + (-21)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-195) - (-2)\/(-15). Suppose r = -2*j - j - 42. Let x = j - -16. Solve x*l - 2 = -4*i, 2*i + 5*l = l + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 2*m**3 + 2*m**3 + (-2*m**2 + 3*m**2 - 3*m**2 + (-4*m + 2*m + 4*m)*(11 - 11 - 21*m))*(-m - 6 + 6).\nAnswer: 46*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -345*y + 1. Let h(m) be the second derivative of -m**3\/6 - 1134*m. Calculate h(l(q)).\nAnswer: 345*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 12. Let u be k(-9). Suppose m - 154 = -5*s, u*s - 3*m = 111 - 15. What is the greatest common factor of 310 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*9\/((-189)\/(-6)). Let l = -1064\/9 - -118. Which is the nearest to d? (a) l (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -63. Suppose 2*b = 4*t + 18, -20 = 2*t - 4*b - n. Let p be t\/(-3)*(3 - 0\/2). Solve -p*s + 1 = -5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/9 (b) -2 (c) -3\/19 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 826 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*o + 56. What is the greatest common divisor of 4 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*h**2 + 1)*(1 + 16118*h**3 - 15954*h**3 - 3).\nAnswer: -492*h**5 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) 3 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v**2 - 1. Let a(b) be the second derivative of -3*b**5\/20 - 5*b**4\/12 - 5*b**2\/2 - 71*b - 1. Determine 3*a(d) - 15*t(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*322.\nAnswer: -9016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15552, -15500, -15448?\n\"Answer: 52*r - 15604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -3, 2986 in descending order.\nAnswer: 2986, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.17574 rounded to 2 dps?\nAnswer: -13.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -2, 23\/2, 4\/9?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*l**3 - 11*l**3 - 13*l**3)*(21*l - 30*l + 15*l).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10026.\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*w + 59 - 57 - 472*w.\nAnswer: -580*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/28 and 6\/16 - 812\/392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.59 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11329*r**2*z - 399*r**2 - r*z**2 - r*z + 93*r - 2*z wrt z?\nAnswer: -11329*r**2 - 2*r*z - r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/48 and 41\/40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1500 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 623845 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 4*h**2 - 4. Let j be b(4). Let z be (-1)\/1*(-11)\/((-11)\/j). Suppose 2\/5 + 11\/5*i**3 + 9\/5*i + 3\/5*i**z + 3*i**2 = 0. What is i?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10762620 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230799, 230779, 230759, 230739?\nAnswer: 230719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.742 - -175?\nAnswer: 171.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -0.14 (c) 0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59108919*k**4 - 3*k**3 - 224296856*k**2 wrt k?\nAnswer: 1418614056*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 6*p**2 - 5*p + 1. Suppose 35 = -2*s + 6*s + 3*y, -3*y + 30 = 3*s. Let l be r(s). Let v(a) = a**2 - 2*a. Calculate v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 10*p - 24. Let c be x(16). Calculate the common denominator of 1161\/c + (-8)\/(-10) and -35\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/4)\/(s\/(s*s*s**0*s*s)))\/(s\/s**0*s**(1\/9)*s))\/((s\/s**6*s**0*s)\/(s**(-5)\/((s*s**(-1\/7))\/s))) assuming s is positive.\nAnswer: s**(-181\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aass when four letters picked without replacement from aasasaxaassxx.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 557*d - 558*d + 3. Let x(t) be the second derivative of -33*t + 0 + 8\/3*t**4 - 8*t**2 + 0*t**d. What is the first derivative of x(i) wrt i?\nAnswer: 64*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -3*g + 186, -809*g = 5*r - 811*g + 87 + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -9\/8*b**2 - 3\/40*b**5 + 3\/16*b**4 + 5\/8*b**3 + 197 + 0*b. Factor x(r).\nAnswer: -3*r*(r - 3)*(r - 1)*(r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 27. Solve 0 = -5*a - g*q - 5 + 32, 2*q + 9 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkakakkautakatanahu. What is prob of picking 3 a and 1 t?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163\/395 - 1\/79. Let i = 5\/73 + 48\/365. Let a be -5*(-3)\/((-855)\/6). What is the nearest to h in i, a, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3102)\/99)\/(188\/282)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*j - 8. Let n = -8 + j. Factor -2*h**2 + h**3 + n*h + 7*h**3 - 4*h**3 - 2*h.\nAnswer: 2*h*(h - 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5926201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**2 + 16*m - 107. Let a be c(-25). Calculate the highest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -17*d - 1. Let z = 8 + -5. Let x = 1 - z. Is h(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267800899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360753 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 1051522?\nAnswer: -1051526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y - 1. Let o(k) = 25*k - 13. Let f(r) = 6*r - 3. Let b(d) = -9*f(d) + 2*o(d). What is 3*b(c) + 2*t(c)?\nAnswer: -4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*3189049.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o - 57 + 57 + 2*o**2. Let z be x(-5). Suppose z*l = m + m + 25, -l - m + 5 = 0. Solve l*p - 16 = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6560?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972743967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 39*l - 572. Is w(-73) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*v = 0, -v + 4 = -2*h - 3*v. Solve -h*u + 3*y + 16 = 0, -2*u - 8 = -0*y + 3*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b + 16 = 4*h + 28*b, -7 = -h + 2*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183*0.5.\nAnswer: 91.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291032499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 + -2.4. Let u = 0.4 - 0.2. Which is the nearest to -1\/3? (a) m (b) -1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = -2*i - 1, -3*a + 20 = -4*i. Suppose -a*y + 26 = -34. Let b be 5\/(y\/6) - 2. Solve -4*r - r - 5 = b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2438 + -2435. Let a(k) = k**2 + 10. What is a(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*5 + (-18)\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2 - 1 - 2*g)*((2*g + 0 + 0)*(2*g**3 + 0*g**3 + 9*g**3) + 0*g**2 - g**4 + 0*g**2 + 2*g**4 + 3*g**4 - 4*g**4).\nAnswer: -22*g**5 + 22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {j: 5, q: 3, i: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 24 = 126. Solve 4 = 2*n + 3*j, -3*n = -0*n - 5*j - u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by 39?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 20248*n**3 + 2 + 20250*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**3 - 99776*d**2 + 12529076*d - 135974256 = 0.\nAnswer: -25069, 12, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1725 or 2\/13?\nAnswer: -0.1725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -0.2. Let q = 10445 + -10420. Which is the smallest value? (a) q (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4146 + 4129.09. Let p = 17 + w. Let s = -0.089975 + p. What is s rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 629 - 125 = 4*k. Does 7 divide (k\/(-15))\/((-2)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-55)\/30 - 1\/6. Let a(v) = 3*v - 6. Let h(l) = -2*l + 3. Let b(o) = j*a(o) - 5*h(o). What is the derivative of b(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 1571035.\nAnswer: 72\/1571035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 9, a: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9*(-18)\/2. Suppose z - u - 5 = -2*z, -z + 5 = a*u. Let v(g) = -g**2 + 104. Let r be v(10). Solve z*f = -6 - r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240340*-29\nAnswer: 6969860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k - 47 = 43*k - 5*x, -x - 5 = -3*k. Put k, -2, 70 in decreasing order.\nAnswer: 70, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6838285*r + 5*r**2 - 6838285*r. Let x(c) = -10*c + 4. Give x(g(l)).\nAnswer: -50*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*v + 418 - 2598 = 233 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.1 (b) -6\/7 (c) 1236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 66*b + 346 - 700 + 354 - 66*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (512\/6912)\/((-6)\/(-54)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 231701\nAnswer: -695103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332*p**3 + 135*p**3 - 134*p**3)*(-2 + 2 - 2*p**2) - 2*p**5 - 4*p**3 + 4*p**3.\nAnswer: -668*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-81)\/36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) + (-22)\/18. Is (78\/(-18))\/(u\/6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*j + 18674 = 0, 3*m + 4*j - 27991 = 3*j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/286? (a) -6 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 (base 12) in base 16?\nAnswer: -1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 840*k + 127694. What is u(-152)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -7*c + 1926. Suppose 6*z - c - 51 = 0. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 4*t - 5. Let l be p(4). Let c be (11\/5 - 3)*l. Suppose o = a + 4*a + 30, -40 = -3*o + 5*a. Put -2, o, c in ascending order.\nAnswer: -2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + i - 5*i + 8, -18 = -n - 3*i. Find the second derivative of -5*d**5 - d**4 - 2*d**4 - 5*d + n*d**4 wrt d.\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d. Let j(w) be the third derivative of w**5\/15 + 6*w**2. Give j(n(m)).\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -2. Let a be (27\/s)\/(3\/20). Suppose 25 = 3*u + g, -3*g = 4*u - g - a. What is u rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10022844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u*u**(-2\/37)*u*u)\/u)*u*u**(-22))\/(u\/u**(-7))**(-34) assuming u is positive.\nAnswer: u**(9215\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.066. Let q = m - 1492.234. Let s = -1402.1 - q. Round s to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from hzzaazhzhahh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*l**2*v**3 - 17*l**2*v + 15*l**2 - 22947*l*v**3 - 199*l + v wrt v?\nAnswer: -102*l**2*v - 137682*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 7, 5, -1\/20, -3\/35?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 8*p**2 + 4*p - 7. Let r be f(-7). Let a = -1028 + 1042. What is the greatest common factor of a and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/5 - 6*w\/5 - 16\/5 = 0?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*h + 126*h**3 - 43*h**3 + 273*h.\nAnswer: 83*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 3, 33, -3 in descending order.\nAnswer: 63, 33, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-2)*c)\/c**7)**43)**(1\/35))**(-1\/23) assuming c is positive.\nAnswer: c**(43\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*k + 47 = 52, 8*m + k = -k + 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5663895?\nAnswer: 3, 5, 377593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 1303\/8239?\nAnswer: 1303\/8239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -27 - (-29 + 51).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 643 = 7*r - 141. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, s: 1, r: 4, e: 1}. What is prob of sequence sg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-70*u - 264*u - 24*u - 8*u)*(-2*u + u + 2*u) in the form p*u**2 + q*u + l and give p.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 4*y - 13*y)*(y**3 + 0*y**3 + y**3) - 2*y**2 + 2*y**2 + y**4 in the form f + j*y**3 + w*y + s*y**4 + r*y**2 and give s.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274988, 549972, 824956, 1099940, 1374924, 1649908?\nAnswer: 1924892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 2*b - 3. Let y be r(2). Suppose y*o = 13 + 2, -d + o + 7 = 0. Calculate the remainder when 19 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 293 = 46*u. Let h(i) = i**2 + 6*i + 1. What is h(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 0. Let w be (-2 + (-39)\/(-15))*h. Put w, -1, 2 in ascending order.\nAnswer: -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904279?\nAnswer: 13, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35642899 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -30\/11 (b) -17 (c) -0.5 (d) 1\/27 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4 + 555*q**3 - 8886*q**2 + 22728*q - 14400 = 0. What is q?\nAnswer: -200, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1305, -2091, -2875, -3657?\nAnswer: -4437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkeekexxpk. Give prob of picking 1 p and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24736\/200 - (237 - 113)?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50.150002129 + -50.15. What is s rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0 + 30*i**2 - 27*i**2 + 0. Let g(q) be the first derivative of -2*q**3\/3 - 4*q + 16. Let c(z) be the first derivative of g(z). Give c(l(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 4251a (base 12) in base 14?\nAnswer: 23a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g - 20 = 0. Suppose -66 + 416 = g*x. Let j = x - 19. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153104527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2047, 2469, 2891, 3313, 3735, 4157?\nAnswer: 4579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 9*i + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003257216 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 6*x - 7. Let t be q(-3). Let h(v) = 4*v - 1. What is h(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(72))\/sqrt(4))\/((sqrt(18)*1)\/sqrt(2)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639*u - 2178*u = -1188 - 32670 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/4*192\/(-10). Let y = a - -2158\/9. Let s be (-1)\/4 + 12\/(-16). Is y at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 296806.92151 + -296805. Let b = h + 0.07629. Let p = b + -2. What is p rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080176 rounded to three decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = r - 2*h - 9 - 6, h - 24 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99333229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(288) + (sqrt(288) + sqrt(288) + 1)*1 - -6*(sqrt(288) + 0)) + ((sqrt(288) + -1)*-3 - sqrt(288)) + (-5*1*sqrt(288) - sqrt(288))))**2.\nAnswer: -3456*sqrt(2) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*10\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 647189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -35*m + 2. Let o(s) = 143*s - 5. Let l(t) = 4*f(t) + o(t). Calculate l(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-4))\/((-2)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Suppose -3*m = -d - 10, m + 19 = g*d + 4. Factor -24*k - 3*k**2 + 36 + 2*k**2 + m*k**2.\nAnswer: 4*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = -2*t. Suppose t*x - 192 = -4*x. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 10)\/(1\/(-2)). Suppose 3*g = -3*h - g + v, 0 = -3*h - g + 11. Solve -5*f - 3 = h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123031 + -101233?\nAnswer: -230330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 2\/189, 6\/11, -2\/33, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/40 - w**4\/6 - 2*w**3\/3 + 3*w**2. Let o(j) be the first derivative of r(j). Differentiate o(a) with respect to a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j + 14. Let h(u) = -u + 6. Let n be h(6). Let i(r) = -r**3 + r**2 - r + 1. Let t be i(n). Solve 21 = 5*w + 4*p, w + 3*p - j = -t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**2 - 7 + 87*x + 10 - 4 - 7*x**4 + 63*x wrt x.\nAnswer: -84*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4150 and 26450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, l: 1, y: 4, c: 5}. Give prob of picking 3 z and 1 c.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -409*p**6\/15 + 17*p**4\/6 - p**3\/3 - 8*p + 20. What is the third derivative of b(g) wrt g?\nAnswer: -19632*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -36*i**3 + 5. Let v(b) be the third derivative of 287*b**6\/120 - 41*b**3\/6 - 2760*b**2. Calculate 41*l(m) + 5*v(m).\nAnswer: -41*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -79. What is the closest to 0 in -4\/5, h, 1\/2, -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -204. What is the highest common divisor of t and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -103*b**2 - 75*b**2 + 34*b**2. Let a(s) = 2*s. Determine f(a(j)).\nAnswer: -576*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18220216 is divided by 122283.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:59 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:33 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 19. Let k be (-885603)\/(-12) + n\/(-4). Round k to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 31 - 252 = 0. Suppose 2*t + 8*b - 15 = 3*b, -2*b = -2. Suppose 9 - t = r. Solve -3*p - 5*z - v = -2*p, r*z = -5*p - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 - 4*t + 60. Let f be u(0). Suppose -2*j = -0*j + f. Let p = 30 - j. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 4*o - 74741*o**2 + 74740*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*r**2 - 169186*c**3*r - 45*c**3 + c**2*r**2 + 2*c**2 - 246*c*r + 2*r**2 - 699*r - 2 wrt c.\nAnswer: 12*r**2 - 1015116*r - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 5 - 2*v - 1 + (v - v - 3*v)*(-11 + 5 + 7) + v + 5*v - 2*v.\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 41.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (68\/85)\/(6\/(-60))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78\/8 + (-27)\/36. Suppose -r*k = -2*k + 42. Is (9\/k)\/((-3)\/1076) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6021 + 15641. Suppose 2*n - 177985 = 3*j, d = n + 5*j - 67363. What is n rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 377367 - 32119. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26087742 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 8*d + 102*d + 115 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1212.49 and 51.\nAnswer: -61836.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 4*t - 139. Let j be w(-14). What is the closest to j in 5, 2, -1, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*w - 15*w. Suppose 3*q = -w*q + 513. Suppose 0 = 4*z - 3*a - 26 - q, 4*z + 5*a = 205. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let v(j) = 7*j - 12. Let n = -14996 + 14990. Calculate n*r(a) + v(a).\nAnswer: a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/3 + 2*r**2 + 25*r\/3 + 6 = 0. Calculate r.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**2. Let u(q) = -6058*q - 4. Calculate u(f(j)).\nAnswer: 42406*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37610 + -37608. What is the nearest to 22 in 0.4, 0, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8896*-200.\nAnswer: 177.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-67 + 320 - 161)*(5*g - 4*g - 2*g)*(1 - 2 + 4).\nAnswer: -276*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 0) + (7 - 16) - (0 + 16 + -64)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 3.38 (c) -11 (d) -3 (e) 0 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or -3\/313388?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 + -0.61. What is the closest to -2\/7 in g, -1, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.4 + 15.4. Let z = v - -3.00000242. Round z to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3.825, -5, -1\/5, -3, -1\/7, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/231 - (-84)\/(-44). Let b(i) = 23*i - 4. Determine b(j).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2560584 (base 10) to base 2.\nAnswer: 1001110001001001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n - 635. What is the second derivative of -1 + n*w - 13*w**2 - 145*w + 1 wrt w?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = -31*l - 68*l + 410. Let r(o) be the second derivative of 0 + 0*o**2 + 1\/18*o**4 - 2\/45*o**3 + 14*o + 7\/150*o**l. What is k in r(k) = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8963.\nAnswer: 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*-1*sqrt(17) + 3).\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 13 + 4)*(0*n + 3*n - n) + 2*n - 3*n + 2*n.\nAnswer: -49*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 3*k**2 + 3*k - 1. Let a be q(-4). Let v be (11\/a - 7\/(-21))\/2. What is the units digit of 3 - ((-55)\/(-15))\/(v\/(-72))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -7.6. Let p = x + 0.44. Round p to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.078 - 87955069.\nAnswer: -87955068.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3469*o + 76476 = 7096 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 + 19*n - 2 - n - 5*n - 14*n as y + w*n + q*n**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5094)\/(-270) + -16 - (4 + -1 - 0). What is the fourth smallest value in h, -21\/4, -17, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 137*i - 137*i + 3*i**2. Let b(j) = j**2. Calculate b(x(s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1519*z**2 + 1494*z - 750*z - 298*z**2 - 744*z - 319 wrt z.\nAnswer: 2442*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Suppose b = 3*b - 68. Let l(g) = 36 + 21*g + g**3 - 83 + b - 12*g**2. Let s be l(10). Determine r(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 - 28*i**3 + i**2 + 303?\nAnswer: -120*i**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8106 + 8108. Solve -2*g + 5*b + 2 = 0, g = 14*b - 11*b + f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3834344275?\nAnswer: 5, 31, 157, 31513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41004 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - 128. Suppose q = -t, z - 2*q - 8 = -3*q. What is the lowest common multiple of z and 23?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 37*x + 449. Let t be f(-12). Let y = 136 + -54. Suppose t*k - 143 - y = 0. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-5 - 0) + 78 + -80 + 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107632797, 107632795, 107632793, 107632791?\nAnswer: 107632789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-8)*(-69 - (-118 + 53))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -672, -647, -628, -615?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(1300) - sqrt(1300)*2*4 - ((0 + sqrt(1300)*3)**2 + 3).\nAnswer: -11703 - 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764*y**4 - 85552*y**3 - 175984*y**2 - 3648*y = 0. What is y?\nAnswer: -2, -4\/191, 0, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50404809 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 3*p**2 - 5*p - 6. Let a be j(-4). Let r = a - -6. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3624447 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394581733?\nAnswer: 3, 17, 15650861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmlmmmmommlmmmm. Give prob of sequence mmmm.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**3 - 7*q - 9*q + q**4 + 19*q - 8*q as c*q**3 + h*q**4 + m*q + a*q**2 + t and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2656 + 2651. Sort -3, 7\/2, m.\nAnswer: m, -3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503821156 divided by 4?\nAnswer: 125955289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w + 12 = 0. Let k(f) = -f**2 + 4. Suppose -2*q - 19 = -5*g, -4*q - 4*g + 9*g = 23. Let x be k(q). Solve h + h + w = x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 4.5. Suppose -3 = -x - 2*n, -2*n + 12 = 2*n. What is the fourth smallest value in j, 1\/4, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2265\/(-255) - -17 - 8?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*-18*(266\/(-209))\/(243\/594)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**3 + 28*j**2 + 31*j**2 - 62*j**2 + 3 - 3*j. Let z(d) = 16*d**3 - 5*d**2 - 5*d + 5. Give -5*u(q) + 3*z(q).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x. Let r(k) = -k**3 - 7*k. What is -5*a(f) + 3*r(f)?\nAnswer: -3*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -d5232 (base 14) in base 9?\nAnswer: -862426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 3*q**4\/2 + 31*q**3\/2 + 16*q - 4. Find the second derivative of c(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412271409 to the power of 1\/3, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) - sqrt(119)*-2))\/sqrt(7) + (sqrt(1088)*-3 + sqrt(17))**2 - (2 + -2 + (sqrt(1088) - 1*sqrt(1088))**2).\nAnswer: -2*sqrt(17) + 8993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:07 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 25, 3, -24 in decreasing order.\nAnswer: 25, 3, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 10:38 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjcctjpct. What is prob of sequence tp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72\/60*(783\/6 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 999.882 years in months?\nAnswer: 11998.584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*d + 39 = -74*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -29. Let r = n + -7. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/45)\/2)\/(36\/(-45))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -211*g**2 + 644*g**2 - 212*g**2 - 218*g**2. Let r(w) = -w**3 + 7*w**2 - w + 10. Let l be r(7). Let p(a) = 3*a + 4*a**2 - l*a. Calculate t(p(k)).\nAnswer: 48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 201\/(-536)*(-2)\/(-3). What is the third biggest value in 2.6, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 4:04 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in 0.3, 1\/19, -34?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 2*x + 0*x - 12 - 15.\nAnswer: -2*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2312834443.\nAnswer: 37, 71, 880409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2166 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*6*5\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 0\/3)\/(-1). Let g = -4 + d. Is -2\/125 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20244689 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 332*c**3 - 71388*c**2 - 438512*c + 10608.\nAnswer: 4*(c - 221)*(c + 6)*(83*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**4\/2 - 3*k**3 + 189*k**2\/2 - 240*k + 150 = 0?\nAnswer: -10, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(3\/4))\/f*f*f**(-1\/7)*(f**(-2\/5))**(-46)*(f*f*f\/(f*f**(-1)))**(-49)\/(f**(4\/5)\/f*f**(-6)) assuming f is positive.\nAnswer: f**(-17121\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 334, 213, 34, -185, -426, -671, -902, -1101?\n\"Answer: 3*p**3 - 47*p**2 - p + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l + 48. Let s(r) = 7*r + 47. Calculate -5*a(q) + 6*s(q).\nAnswer: 2*q + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3 = 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-19)*q)\/q*q*q**(1\/35)*(q*q**(2\/21))\/(q*q**(-30)) assuming q is positive.\nAnswer: q**(1483\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 126749657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 1\/35*t**5 + 2\/21*t**3 - 1\/14*t**4 - 1\/210*t**6 + 0 + t**2 + 0*t. Determine y, given that p(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 87 = -11*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 + -162. Find the common denominator of ((-1940)\/30)\/(16\/j) and -37\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:29 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 + 2*n**4 + n**4 + (-27*n + 27*n - 2*n**2)*(-3*n**2 + 2*n**2 + 0*n**2)*(-1 - 2 + 4) + (-1 + 1 - 2*n)*(2*n**3 + 0*n**3 + 0*n**3).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 13*q - 18 = -11*q, 5*r - 16 = -4*q. Put -5, 24, r, 2 in decreasing order.\nAnswer: 24, r, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*m = -192*m + 16. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015102274225 to 7 decimal places.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2. Suppose 4 = 10*t - 8*t. Let v(n) = 0*n**2 + 2*n**2 - 2*n**t + n**2. Calculate h(v(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14496.1 + 14497. What is the smallest value in -5\/3, -4, -0.5, b, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 463295\/5673*(36\/35 + (-48)\/80).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*q)*(3*q + 0*q + 0*q).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: bd (base 14) to base 9\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6\/5)*g)\/(g**(-2\/3)*g)*g**(-3\/10)\/(g**(1\/10)\/g) assuming g is positive.\nAnswer: g**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**3 - 5*z**2\/2 - 3885*z. Give u(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8000 = 4*a - 5*a. Round a to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 244*a**5 + 22*a**4 - 3*a**3 + 91316*a**2 + 2*a wrt a?\nAnswer: 14640*a**2 + 528*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118627013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 439.8 + -336. Let f = 105 + -1. Let p = v - f. Sort p, -5, -0.02, -2\/3 in increasing order.\nAnswer: -5, -2\/3, p, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*l**2 - 15*l - 187*l**3 - 152*l**2 + 90*l**3 + 79*l**2 in the form z*l**2 + f*l + i + n*l**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**3 + 58 - 186 + 17*g**3 - 60.\nAnswer: g**3 - 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**4\/24 + 5*i**2. Calculate the remainder when w(5) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/5 - 5605560*t - 84083373\/5.\nAnswer: -3*(t + 3)*(t + 9342597)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 594, 424, 196, -84?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n + 51967 - 51970 + n.\nAnswer: 9*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.33372 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5138 and 340074.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-23)\/(414\/72)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -19. Let j(z) = 3*z**2 - 2 - 1 - 2 + z. Let i be j(o). Calculate the highest common divisor of i and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**3\/6 + 17*n**2\/4 + 9*n + 273. Let i(c) = 0. What is c?\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16, -5, 5 in decreasing order.\nAnswer: 16, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, g: 2}. Give prob of sequence gww.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 12*w - 7. Let u be (1\/2)\/(4\/48). What are the prime factors of j(u)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19657450 rounded to the nearest ten thousand?\nAnswer: 19660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*d - 3 + (1 - 1 + 2*d)*(1 - 1 - 1))*(21*d**2 - 7*d**2 - 22 - 12*d**2).\nAnswer: -8*d**3 + 88*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 18. Let w = -9 + z. Let r = -833\/8 - -104. Which is the smallest value? (a) r (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -766988, -1533975, -2300962, -3067949?\nAnswer: -3834936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8447369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 311, 583, 963, 1451?\nAnswer: 2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 7*j - 9. Let n be h(8). Let a = 1505 + -1507. Sort a, 1, 0, n.\nAnswer: a, n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242\/11851491 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**4 - 7*u**3 - 202*u**2 wrt u.\nAnswer: -24*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12234.785 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let k = y + -7. Let r be k - -2 - (-38)\/10. What is the nearest to -2\/5 in 0, r, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3\/2, -2, -0.27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4556043+-779\nAnswer: 4555264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*c - 11949 + 11949 - 13*c.\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5469830755 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 2*i**3 - i**3)*(-3 + 1 + 1) + 1959*i**3 - i**2 - 72*i**2 - 1966*i**3.\nAnswer: -6*i**3 - 73*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 3, 1, 3.46, 1\/2 in ascending order.\nAnswer: -2\/11, 1\/2, 1, 3, 3.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6.042+-8.98\nAnswer: -2.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -107*d**4\/12 + d**3\/2 - 132*d**2 + 3*d - 25. What is the first derivative of k(u) wrt u?\nAnswer: -214*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*v + 76 = 0, 2*v - 8 = 167*s - 168*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 p when three letters picked without replacement from ipiyiypigy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 = u - 1, 3 = 3*u. Sort 3, 7, x in ascending order.\nAnswer: x, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 8) to base 5\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**7\/35 + o**5\/30 - o**2 - 5*o. Let i(d) be the first derivative of v(d). Find the third derivative of i(q) wrt q.\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**4 + 708*r**3 + 4456*r**2 - 11712*r = 0.\nAnswer: -8, 0, 2, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110021002110 - -12?\nAnswer: 110021002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 16*t**2 - 19*t + 28. Let a be j(17). Calculate the least common multiple of 2 and a\/(96\/(-646)) - (-24)\/(-64).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 371 and 109339.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 + 460*r**2 - 600*r - 44956. Calculate p(-154).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -390*q**2 + 2*q - 277 wrt q.\nAnswer: -780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {w: 4, x: 2, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 135.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 0 + sqrt(28) - (sqrt(252))**2.\nAnswer: -252 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7) + -8 + (-5 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 5705273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g - 4. Let k(d) = 11*d - 9. Let t(x) = -2*k(x) + 5*q(x). Give t(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 622*j**2 + 204*j**2 + 203*j**2 + 212*j**2.\nAnswer: -3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - x**3 + 4 + (0 + 0 - x)*(-2 + 2 - x**2) + x**3 + 0*x**3 + 0*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2533\/330 - 1\/110. Let o = -15\/14 - -73\/42. Suppose -7\/3*s**4 - o + 13\/3*s + g*s**3 - 9*s**2 = 0. Calculate s.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 773\/11 - 951\/3487.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0.5, 44, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose 3*k = -5*x - 12, k - 3*x - 429 = -405. What is the third derivative of 5*p**k + 3 - 55*p**g - 3 + 73*p**2 wrt p?\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i**2 + i + 1. Let m be x(-2). Let s be -2 + (1 - -7)\/(-2). Let w be s\/m - 100799998\/9. What is w rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38736 times -5.1?\nAnswer: 7.075536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675057?\nAnswer: 3, 43, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 37740?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 178\/10 - (-11)\/55. Let z = p - 13. Suppose -z*x + 2*x = 3. Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159927 is divided by 154?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 134\/(6\/9 - 0). Suppose -2*s - 107 = -5*s - 5*m, 0 = -4*s + 5*m + p. Suppose -5*x = -s - 101. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h + 48. Determine o(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 506, 1, -3, -8, 0.4 in decreasing order.\nAnswer: 506, 1, 0.4, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**3\/3 - 5*k**2\/2 - k. Let n be c(4). Suppose y - n = -2. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 4. Let l(k) = -8*k + 16. Let r(m) = l(m) - 4*n(m). Let h(i) = -52*i. What is h(r(w))?\nAnswer: 208*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -26463\/3625 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**3 + 29*z**2 - 3*z + 32. Let u(b) = -3*b**3 - 15*b**2 + 2*b - 16. Let a(n) = 4*d(n) + 7*u(n). What is the remainder when a(11) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {m: 2, i: 7, o: 3, n: 7, t: 1}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/90 and 53\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(5 + (-2 + sqrt(396)*2 + sqrt(396) + sqrt(396) - (sqrt(396) + -1 + 0))))**2.\nAnswer: 576*sqrt(11) + 14318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 = 17*i. Let m be 14 + 75 - 2*i. Suppose -89*n + m*n = 52. What is the highest common factor of 286 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**4\/6 + 5*h**3\/2 - 16*h**2. Let u be k(-5). Let x = -0.8 - 0.2. What is the closest to x in -1\/2, -4, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z + 3. Let l(o) = 7*o + 4. Let b be (-1 + 0)\/((-2)\/(-14)). Let h(f) = b*l(f) + 6*k(f). Suppose 4*d - 2*t = 8, 2*t - 124 + 132 = -5*d. Give h(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 10*o + 13. Let w be q(9). Suppose -3*a - 2*a - w = -m, m - 4 = -a. Let f = m - -7. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**24*(d**0*d*d)\/(d*(d*d**(1\/3))\/d*d*d) assuming d is positive.\nAnswer: d**(-172\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*m + 19, -7*p + 4*m = -2*p + 15. What is the units digit of (5 - -39)*p\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uukukkkuckkkkuu. What is prob of picking 1 u and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 670089 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6836 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 61*(2 - (-9)\/(-3)). Let z = 6 - b. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 136 + 0*v - v**2 + 134 + v**3 - 4*v**3 to the form t*v**3 + k*v + f*v**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 42, 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.7, 0.2, -0.05?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 685451364.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10\/63867 - 36348583\/52754142. Let x = 3\/118 - a. Factor -9\/7*j**3 - 1\/7*j**5 + x*j**4 + j**2 - 2\/7*j + 0.\nAnswer: -j*(j - 2)*(j - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + -1. Is z != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33206 (base 7) to base 14.\nAnswer: -3076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d + 25. List the prime factors of t(10).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1835332 to 4 decimal places.\nAnswer: -0.1835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpoogpogpgppgopgp. Give prob of sequence pp.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - 44 - ((20 - 4 - 4) + -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-15) + 377\/3. Suppose -4*j - d = 2*d - 252, -2*j + d + s = 0. Suppose -2*k + 3*k = 7. What is the greatest common factor of k and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190 + -123. Calculate the remainder when c is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-150))\/((-2)\/(-6))*23\/1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 295 + -134. Let n = w - 161.5. Suppose -7*f = -8*f + 4. Sort n, f, 8 in decreasing order.\nAnswer: 8, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.0062ms in nanoseconds?\nAnswer: 292006200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1832, -5237, -10912, -18857?\nAnswer: -29072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 + 4 = 0. Suppose 7 = -u - 4*k - 12, 4*u = g*k - 4. Let d = 4 + u. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, -1\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 120 = -0*o. Suppose -o = -13*h + 6. Solve 3*w + 10 = -2*f - w, 0 = 2*f + h*w + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q - 5. Let w(t) = -8*t - 11. What is 7*f(p) - 3*w(p)?\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*j + 4*u - 2*u, 0 = 4*j - 4*u + 16. Let k(x) = x**3 + x**2 - 2*x + 2. Let h be k(1). Sort -8, 1, j, h in descending order.\nAnswer: h, 1, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(1 - 26\/25). Suppose -3*n = -2*n + p. Let m be -4*4\/40*n. Solve -4*o = -2*o + m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 + q - 1. Let r be u(1). Let y(g) = -5*g**2 + 2 - g**3 + 0*g**2 - 5*g + 0*g. What is the units digit of y(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5361032 + 38?\nAnswer: 5361071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.279113 centuries in millennia?\nAnswer: 0.9279113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -150*h + 155. Let o be u(1). Solve 2*w + 1 + 5 = -x, o*x = 4*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2275953567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 139?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - f - 23*f**2 + 21*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11ea + 23c?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6*n - 135 = 0, -261*n + 256*n - 105 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/8 + 21*t**2\/8 - 45*t\/2.\nAnswer: 3*t*(t - 5)*(t + 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -182*x - 1971. Calculate n(-10).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 41*v - 2. Let a(q) = 142288 - 284582 + 142298 - 83*q. Calculate 3*a(w) + 5*r(w).\nAnswer: -44*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 102684445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffjsjsnjjznz. Give prob of picking 2 s and 2 f.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9086)\/(-126) - 5\/45. What is the greatest common divisor of b and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00774550875 rounded to 5 decimal places?\nAnswer: -0.00775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8264567 to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 770 - -1584. Let q = 3933 - r. Let y = 6379\/4 - q. Calculate the common denominator of y and 1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from piqpppqpiippqiiq. What is prob of picking 2 q and 2 p?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 7*j**3\/3 + 1. Let o(c) = -2*c - 7*c + 5*c + 2*c. Give o(h(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**5 + 27*p**4 + 538*p**2?\nAnswer: -60*p**2 + 648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 4. Let f be c(3). Suppose 0 = 2*l - 3 - f. Solve 3*p - w - 20 = 0, 0*p - 2*w - 20 = -l*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 9*a + 10. Let l be s(9). Solve -l*r**5 - 21*r**3 + 4*r + 0*r + 3*r**3 - 2*r**2 + 26*r**4 = 0 for r.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26.9607 millennia?\nAnswer: 26960.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 7*n - 9. Let y be s(-6). Let w = 9 + y. Solve -2*z = -w - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/3))**(-30)*x**(3\/14)*x*x**(3\/2) assuming x is positive.\nAnswer: x**(-331\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5585)\/(-5) - (11 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -78*k + 14. What is the remainder when 25 is divided by p(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/2)\/(k**6\/k) assuming k is positive.\nAnswer: k**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 163.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u + 65. Let g(f) = 3*f + 22. Let x(i) = 11*g(i) - 4*r(i). Let n(d) = d - 36. Let c(j) = 3*n(j) - 5*x(j). List the prime factors of c(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvnffuvfnuxufd. Give prob of sequence unun.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -251, 51, 495, 1093, 1857?\nAnswer: 2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 46100192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -q - 14, -3*q + 2*q = -2. Let r(b) = -2*b - 4. Let n be r(x). Is (-541)\/(-7) - n\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8588, -13798, -19018, -24254, -29512, -34798, -40118, -45478?\nAnswer: -50884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0 + 1\/135*w**6 + 2*w**2 + 0*w**3 + 1\/54*w**5 + 1\/945*w**7 + 1\/54*w**4 + 0*w. Find o such that c(o) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3710508 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.064299 - 4.844399. Let q = j - 0.0399. Let c = q - 1.08. What is c rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*v + 6, 9 = -4*r - 4*v + 49. Let z(q) = q + 5. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u - 15890 = -64*u - 221*u. Let f = -36 - -56. Calculate the lowest common multiple of u and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464110 (base 10) to base 6.\nAnswer: 13540354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 x, and 1 m when four letters picked without replacement from {x: 8, s: 6, m: 1, j: 1}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 + 232 - (4 + (-1 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8) - (-4 - -6)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*2632.5.\nAnswer: -92137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.22 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.23228 rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 13. Let f be p(-7). Suppose r = -f*r + 35. Let v = 0.415 + -0.285. What is the third biggest value in r, v, 1, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -17*h + 60. Suppose -74*x + 72*x = h. Calculate the common denominator of 14\/x + (9 - 10) and 18\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*(294\/(-189))\/((-1470)\/45).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 170\/60 + 2\/(1 + 3). Let f(k) be the second derivative of 0 + d*k**3 + 1\/2*k**4 - 2*k - 9\/20*k**5 + 4*k**2. Factor f(x).\nAnswer: -(x - 2)*(3*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 2\/(-6))\/((-7)\/(-21)). Suppose -3*o + w = 1. Let f(z) = -2*z - 1 - 7*z + 7*z. Let p(r) = -r. Determine o*f(g) - 5*p(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 + (116\/(-14) - -4). What is the lowest common multiple of r\/14 + (-2970)\/(-105) and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -540\/7 = -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**9*p**5*(p\/(p*p*p\/(p**(1\/2)\/p)))**(-2\/57) assuming p is positive.\nAnswer: p**(-166\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 5:49 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -740997.4.\nAnswer: -370498.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5640769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1775906, -1775893, -1775872, -1775843?\n\"Answer: 4*r**2 + r - 1775911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 9 + 6 + -23 + (0 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 4:45 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*r + 96*r - 100 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -400\/41 - -22359\/2296. Put x, 25, 3\/5 in ascending order.\nAnswer: x, 3\/5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (15 + -21 - (-3 - 0)) - 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*o + 3*n, -2*o + 0*n + 2*n + 20 = 0. Let z = -14 + 20. Suppose 4*v**4 + o - 7 + 0 - 2*v + z*v**3 = 0. Calculate v.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - g**2 + g**2 + (1 + g**3 - 1)*(0*g + g - 4*g) - 4*g**4 + 0*g**4 + 9*g**4 + 2*g**4 - 3*g + 3*g + 56*g - 56*g + g**4.\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -822916*q**2 - q - 7062 wrt q.\nAnswer: -1645832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(1254\/(-11))*4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 852 and 10011.\nAnswer: 40044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -13*t**5\/20 - 31*t**3\/6 + t**2\/2 + 71*t - 2. What is the second derivative of b(k) wrt k?\nAnswer: -78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/(-35) - 1)*7. Let v = z + 48. Let m = v - 21. What is the remainder when m is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 103. Let s = j - -80. Which is the third biggest value? (a) 3 (b) s (c) 0 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 7*v**2 - 7*v + 10. Let m be t(8). What is the greatest common factor of m and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*f - 5*w + 16, f - 3*w = -8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 1700?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 94*o. Let p(n) = 130*n**2. Give y(p(t)).\nAnswer: 50700*t**4 + 12220*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 3*u + u - u - 1. Let l(r) = r**3 - 4*r**2 - 3*r - 5. Let p(v) = -2*i(v) + l(v). Calculate p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19128942.8 to the nearest 10000.\nAnswer: -19130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -33*o**3 - 11*o**2. Let b(v) = -16*v**3 - 5*v**2. Calculate 11*b(q) - 5*y(q).\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.99 - -3.01. Let f = 0.006 + -0.206. Which is the biggest value? (a) f (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6773 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: Collect the terms in 70 + p + 18*p**2 - p - 68.\nAnswer: 18*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q - q)*(-2*q - 2*q + 2*q) + (115*q - 92*q - 57*q)*(4 - 3*q - 4) - 2*q**2 + 2*q**2 - 2*q**2.\nAnswer: 104*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 26*l + 85. Let m be (-288)\/(-13) - (20\/65)\/2. Calculate q(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 7:37 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3718165 and 8107?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = 6544 - 7008 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113945687?\nAnswer: 1223, 93169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3489 + -1652. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.292671 + -3798309.26\nAnswer: -3798305.967329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*z + 8*d + 18, 20 = 5*z - 5*d. Let x(o) be the first derivative of -3*o - 5*o - z - 12*o**2 + 0*o - 6*o**3. Let x(u) = 0. Calculate u.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 56053?\nAnswer: -1\/56053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 20*i**2 + 36*i - 644. Give k(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 24. Suppose 2*y = 0, -5*y = 5*u - u + 12. Let v = u + 13. What is the smallest common multiple of v and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -5\/2, -2, 1323?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - f**3 - f**2 + f.\nAnswer: f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -108\/823 (b) 4\/9 (c) 2 (d) 1\/4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -380214, -760358, -1140502, -1520646?\n\"Answer: -380144*o - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 - (0 + -5 + 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f - 21*f. Solve 6*u - 6 = -f*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 67*m**2 + 25*m - 9. Calculate x(33).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 167 + 0*z + 11*z + 7*z**2 - 6*z**2 - 328 + 167. Suppose 32 = -2*k + 3*k. Suppose -5*a - 2*i - k = 0, 2*a + 0*a = 3*i - 28. What is o(a)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**7\/105 + 17*g**6\/75 - 103*g**5\/50 + 239*g**4\/30 - 8*g**3\/3 - 80*g**2 + 60*g + 1. Let q(x) = 0. Calculate x.\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 127*u**7\/15 + u**5\/30 - 59*u**4\/2 + 2150*u**2. Find the third derivative of t(h) wrt h.\nAnswer: 42672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 244\/549*((-3)\/(-4) - 0). What is the fourth biggest value in -5, -0.1, f, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5 + 25. Calculate the highest common factor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 44*k - 41*k = -240, 236 = 3*g - 5*k. Solve -102 + g = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 35*d**2 + 28*d - 28. Let q(t) = -t + 1. Calculate -b(o) - 28*q(o).\nAnswer: -35*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 19*z**2 + 34*z - 1. Determine m(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26982564 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/(-6))*68\/34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -11023?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -142, 108, 966, 2726, 5682, 10128?\nAnswer: 16358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + 4 - 4*a + 2*a - 192*a**3 + 199*a**3 - 5 - 5 to the form r*a + x + y*a**2 + f*a**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 265*k + 12 - 12 - 267*k. Suppose 0*s - 6 = 6*s. Let h(q) = q. Calculate s*w(i) - h(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 20*s - 361. Give c(19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -130716.\nAnswer: -1\/32679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1047 + -264. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a minute in milliseconds?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 11 - 9 + j)*(-2*j + 3*j - 2*j) + 0*j**2 - 5*j**2 + 10*j**2 to the form y + m*j + z*j**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2378131982?\nAnswer: 2, 659, 1804349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 2948132?\nAnswer: 29481320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090510?\nAnswer: 2, 5, 167, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -717, -874, -181, 1788, 5459, 11258?\n\"Answer: 71*r**3 - r**2 - 651*r - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.92 + 9. Let h = s - -2.22. Let g = -2.35 + h. Round g to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10984*h + 2*s = -10979*h - 10, -h - 2*s = -14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 262808 and 3?\nAnswer: 262805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (153\/12 + -13)\/(-2). Solve -1 + 1\/4*h**2 + x*h**3 - 1\/2*h = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1 + (-2 - 28\/20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*i - 371*i + 563*i + 120 = -x, 5*x = 5*i + 125 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m**2 - 166*m - 400*m**5 - 14*m - 2*m**2 + 377*m**5 wrt m?\nAnswer: -460*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844635521 is divided by 1198.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*o + 2*o. Let w(v) = v. Suppose 20 = 6*n - 2*n, 0 = 3*b - 3*n - 9. Let k(h) = 0 + b*h - 3*h + 1. Give o*k(d) + 9*w(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 2*l**3 + 6*l**3 + (2*l**2 + 3*l**2 - 3*l**2)*(0 + 0 + 2*l))*(2*l + 4*l - 5*l)*(-11 - 11 - 11).\nAnswer: -198*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.543 + 18.164. Round f to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 8*l - 8. Let o be w(9). Let d be (-21)\/(-108) - (-2)\/8. Let k = -70 + 67. Which is the nearest to 0.1? (a) k (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(2715\/(-25))\/3. Let v = 71 - b. Let m = v - -80. Which is bigger: -31 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4589 - 4594. Let i be (54\/12)\/(6\/(-8)). Let r(p) = -p - 5. Let j be r(i). Put j, 9, s in decreasing order.\nAnswer: 9, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767916 a multiple of 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27396 + 27422. What is the smallest common multiple of 78 and k?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*r - 8, 58*r = 32*r + 27*r + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/18*(57\/285)\/((-5)\/(-75))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 15 = -5*z. Suppose -6 - 6 = -z*r. Is (-2)\/r + (-177)\/(-6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 217*i - 301. Let s(o) = -o**2 - 8*o + 18. Let z be s(-9). Let q(r) = 54*r - 76. Let j(u) = z*q(u) - 2*k(u). Find the first derivative of j(d) wrt d.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 22*n**2 + 24*n**2 - n. Suppose -6 = -2*h - 4*s, -5*h - 3*s + 43 = -7*s. Let w(i) = -h*i + 4*i - i + i. Give a(w(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-5)*(x\/(x*x\/(x\/(x*x**(-34)))*x)*x)\/x*x*(x**(-19))**3 assuming x is positive.\nAnswer: x**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5587939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18910 - 9039. List the prime factors of y.\nAnswer: 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*g + 0 = -6, -r - 5*g = -34. Let d be (-6)\/(-21) + 80\/r. Suppose d = f - 0. What is the remainder when 8 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74699250 a multiple of 822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31552556 - -17861730. Let q = l - -8100826. Round q to the nearest 100000.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + 21 + -23\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -4. Let v(f) = f**2 - 7*f - 4. Suppose 0 = 2*w - 4*t - 28, 4*w = 2*w - t + 13. Calculate the smallest common multiple of v(w) and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - -0.06. Let m = r + 0.46. What is the second biggest value in m, 0.5, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218197992?\nAnswer: 2, 3, 17, 534799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3013 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 392606 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 cube root of 2246054022 to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22099656 divided by -6\nAnswer: -3683276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/24)\/(((-75460)\/(-168))\/77).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1773 = w - 1778 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q - 11. Let l be z(7). Suppose 0 = -l*d - 3*v + 12, 16 = d + 4*v + v. Which is the nearest to -2? (a) d (b) -3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74733503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -4*i. Suppose -i*q + 72 = -2*q - 2*g, 108 = 4*q + 5*g. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6297, 7059, 9137, 13191, 19881?\n\"Answer: 110*j**3 - 2*j**2 - 2*j + 6191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4556.395t?\nAnswer: 4556395000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/6214 and -13\/6.\nAnswer: 18642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = -18 - 70 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40601493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*r + 3. Suppose -r = y - 16. Let m = y + 21. Solve 5*h + 40 = -5*s, -3*s + 8 - m = 4*h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720590.63 rounded to the nearest ten thousand?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {u: 2, l: 1, i: 2, w: 1, o: 1, s: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 43385\nAnswer: -4338.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = 83*j - 1505 + 33 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -182 in ascending order.\nAnswer: -182, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -1 + 1. Suppose -5*t + 6*c - 3*c + 27 = q, -t + 3*c = -15. What is the third derivative of 46*p**2 + 5*p**t + 6*p**3 - 19*p**2 wrt p?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((1656\/294)\/(-23))\/(81\/(-42)). Are c and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-2*-3)**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 26*z**2 - 266*z + 3407. Give a(31).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 10*r - 11*r + 1037, -4*x + 3*r = -1049. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 7*r**2 + 9*r - 6. Let w be h(-7). Let j = w + 115. What is the remainder when j is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48910 or 44534?\nAnswer: 48910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 10 = -10. Solve a = y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Suppose r*k - 111 = -0*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10066991 rounded to the nearest ten thousand?\nAnswer: 10070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkdwkwkdk. What is prob of picking 2 w and 1 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaajjajaabj. What is prob of sequence aa?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210830 divided by -13.\nAnswer: -210830\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 217126 to the power of 1\/2, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/13 (b) 29 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38527*f*g*s**2 - 4*f*g - 17*f - 4*g*s**2 + 2*g - 1141 wrt s.\nAnswer: 77054*f*g*s - 8*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 890 and 277538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 645, -1436.\nAnswer: -1436, -5, 3, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -36. Suppose b = 5*g - 2*l - 96, g + l - 28 = -3*l. Suppose 0 = 4*r + k - 199, 3*r = -2*k + 148. What is the highest common divisor of r and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p + p - 3*p - 1 + (-3*p + 1 - 1)*(-2 + 0 + 3).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 5*v + 8. Let j be n(-6). Solve 0 = -4*u - q - 7, -5*u + q - 7 = -j*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 233440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - (-46 - 2)) + 13.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/15*1\/(7\/(-35)). Solve f*g = -9 - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuunuwuzw. What is prob of picking 1 n and 1 w?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (14518\/(-483))\/(-2) + -15\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 6. Suppose -w*u + 4 + 41 = 0. What is the remainder when 16 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 6. Let j(v) = -v - 2. Let k be j(-6). Suppose -k*m = -22 - 22. What is the smallest common multiple of m and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2. Let d be g(0). Solve -3*a + 0*c = -3*c, 5*a + 2*c = d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 6) to base 14\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h**2 + 1 - 1 - 6*h**2. Let t(o) = -11*o + 7. Let j(x) = -10*x + 6. Let u(b) = 7*j(b) - 6*t(b). Determine u(f(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66857, 133715, 200573, 267431, 334289, 401147?\n\"Answer: 66858*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 17 = -g, 29 = 4*g + 3*c - 6*c. Solve -18 = 3*j + g*r, -3*j + 3*r = -j - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315 - 6*q**2 + 159 + 156.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*x - 1647, k = -x - 657 + 2280. List the prime factors of k.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 60\/(-9))*(-78)\/(-5). Let s = -95 - w. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156179241 to the power of 1\/2, to the nearest integer?\nAnswer: 12497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10231 (base 15) to base 4.\nAnswer: 30132301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + z - 2*z = -7, 2*s - 5*z = 1. Suppose 5*y - s*d = 144, 4*d - 57 + 49 = 0. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 544 (base 8) to base 11\nAnswer: 2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 3*k**2 - 4*k + 12. Let t be g(6). Let v be (-2)\/(-10) + 114\/t. Let z = -0.02 - -2.02. What is the biggest value in -1, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 143*s + 29. Let y be f(12). Suppose 7*o - y - 495 = 0. Suppose 2*n - o = -2*h, 5*h + 4*n - 172 = 4*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 8*k - 1. Let u be b(8). Let w be 2*u*(-48)\/32. Solve -4*j - a + 11 = 0, w = -3*j + a + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {l: 1, a: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61.23104 nanograms?\nAnswer: 0.00000000006123104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13113111232 - 233?\nAnswer: -13113112131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, q: 8, s: 1}. Give prob of sequence sqqq.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/23 + 144610*y\/23 + 7947500\/23 = 0. What is y?\nAnswer: -72250, -55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 10. Calculate o(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43a - -a?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 65.95. Suppose z - 5 = -3*i + 34, -4*i - 5*z + 63 = 0. Let n be i\/42 + (-10)\/84. Which is the nearest to -0.1? (a) 2 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*t + 7*t + t + (3*t + t + 0*t)*(4 - 3 - 3))*(-1 - 1 + 0)*(-2 + 6 - 5)*(2 - 3 + 3) as j + s*t and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3422387, -3422351, -3422313, -3422273, -3422231, -3422187, -3422141?\n\"Answer: b**2 + 33*b - 3422421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1037*l**2 - 6808*l + 13633*l - 6825*l.\nAnswer: 1037*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 0*a + 32 = 0. Let s = -0.25 + 2.45. Sort s, a, -3\/4.\nAnswer: a, -3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104383827 and 4797?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31797272?\nAnswer: 2, 13, 305743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 9*t - 5. What is s(11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54.8 - -54.806344. Round g to 4 decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**4 + 0*o**4 - o**4)*(3 - 3 + 1) + 2*o**2 - 17721*o**4 - 2*o**2 + 675*o**4 - 3189*o**4 to the form d*o**4 + c + w*o**2 + i*o + k*o**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 4\/7 (b) 0.5 (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.31 (b) 1\/6 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 518, 1405, 2830, 4793, 7294, 10333?\n\"Answer: 269*f**2 + 80*f + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 88.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -618704, -1237408, -1856110, -2474810?\n\"Answer: p**2 - 618707*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1636498954 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.6, 3, -2 in descending order.\nAnswer: 3, 0.3, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/15))**(-7)*(q**(-11))**(3\/2) assuming q is positive.\nAnswer: q**(-467\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3851, -3453, -3055, -2657, -2259?\nAnswer: -1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1030, -1031, -1032, -1033, -1034?\n\"Answer: -r - 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 8 = -5*y + 19, -137*t + 141*t + 10 = y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 141043587*f - 223769199 wrt f?\nAnswer: 141043587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/478 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 7:36 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 61.26522 decades?\nAnswer: 6.126522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 155. What is the remainder when 20 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4347478 by 4.\nAnswer: -2173739\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 91\/(-13)*(-4)\/(-98)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 304301 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -288*f**3 - 111.\nAnswer: -864*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331324 (base 5) to base 11.\nAnswer: -8682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(108) - (sqrt(108) + 1*sqrt(108))))\/sqrt(6))\/((-6*sqrt(9)*-3 + sqrt(9))*6))**2.\nAnswer: 2\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -536*f - 300*f - 14*f - 10200 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/((-1482)\/(-323))*6\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*k + 14*k - 88720*k**3 + 88715*k**3 + k**2 + 15 + (-3*k**2 + 6*k**2 - k**2)*(6*k - 4*k - 4*k) + 0*k**3 + 3*k**3 - 2*k**3.\nAnswer: -8*k**3 + k**2 - 3*k + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-140318\nAnswer: -84190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -227*r - 323. What is i(-3)?\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 3*b + f - 161 = 0, 4*b - 4*f = 136. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11 + -1)*1\/(-3). Suppose 27 = -3*y + 6*y. Calculate the remainder when (16 - 6)*10\/b is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*v - 10*v**3 + 3*v**3 - 55*v - 19*v**2.\nAnswer: -7*v**3 - 19*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h**2 - 2*h**2 + 0*h**2)*(-37*h**2 + 19*h**2 - 79*h**2) as d*h**4 + w*h**2 + b*h + r*h**3 + o and give d.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*w + 9245002 - 2121457 = 0. What is the ten thousands digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 less than 254161701?\nAnswer: 254161457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 1006776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 2*y + 2. Let q(m) = 283*m**3 + 13*m**2 + 26*m + 19. Give 26*a(x) - 2*q(x).\nAnswer: -566*x**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42306214729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z + 2. What is s(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93*-3699.\nAnswer: 344007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10968)\/204 + 34 + (19 - -1).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 12:45 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 218814 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9629653 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 2*g + 1 + 4*g. Calculate s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 3, 1 in decreasing order.\nAnswer: 3, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.8, -3, 1\/7, 2\/11.\nAnswer: -3, 1\/7, 2\/11, 2\/3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2967 - -4465. What are the prime factors of x?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 10, 36, 102, 226, 426, 720, 1126?\n\"Answer: 3*y**3 - 7*y**2 + 4*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvgggggggggggggvgggg. Give prob of sequence vg.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a**2 - 26*a**2 - 9*a**2 - a**2 - 3 + 3 + (0 - a + 0)*(2*a + 5*a - 5*a))*(-5 + 5 - 3).\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (19 - (-20 - -45)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2523582 or -2523584?\nAnswer: -2523584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/13 + 11\/26. Put -6, z, -4 in ascending order.\nAnswer: -6, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1547)\/17 + -26 + 34.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138912\/53 greater than or equal to -2622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**20*s)\/s)*s**(-22))\/(s**(-12)\/s*s)**(-17) assuming s is positive.\nAnswer: s**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a factor of 463336193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a factor of 647360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -78*d + 1. Suppose 0*x = 3*x + 9. Is a(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000579591055 rounded to six dps?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9166, -9208, -9262, -9334, -9430?\n\"Answer: -s**3 - 35*s - 9130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 1835 = -33*j + 19545. Suppose 5*u = 3*h + 67, -4*h + 8 = -3*u + 46. Suppose -u*a + j = -9*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 51162?\nAnswer: 665106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -41. Let j be (-2)\/4 + (-4)\/u. Let g(x) = -x**2 - 8*x - 19. Let d be g(-3). Which is the nearest to j? (a) -4\/3 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d*d\/(d*d\/(d**1*d)))\/d*d*d)\/d))**16)**(-6\/23) assuming d is positive.\nAnswer: d**(96\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 114291940?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 19*j + 92*j = 520 - 426 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -101222 (base 3) to base 15\nAnswer: -14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 800 and 77060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 = -8*s. Which is greater: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*q**4*t - q**3*t + 2*q**3 + 2*q**2 + 14*t wrt q?\nAnswer: -1920*q*t - 6*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.44409575 to one decimal place.\nAnswer: 148.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/100*(-27)\/945?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19b - -1?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/3 + 974488*f**4\/3 + 974490*f**3 + 2923472*f**2\/3 + 974491*f\/3.\nAnswer: -f*(f - 974491)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from {e: 5, d: 1, y: 12}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 take away -150.83?\nAnswer: 744.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950078 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: Put -0.2, 1393, -0.031, -0.1 in increasing order.\nAnswer: -0.2, -0.1, -0.031, 1393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 250 and (2\/5)\/(50\/2500).\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -258, -259, -260, -261?\n\"Answer: -k - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b**2 - 35*b**2 + 7*b**2 + 5*b**2 + 12*b**2 + 135 as t + l*b + k*b**2 and give t.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115 + 19*d - 115)*(-4*d + d + d) + (-4*d**2 - 5*d**2 - 3*d**2)*(-4 + 3 - 11).\nAnswer: 106*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -774, -636, -418, -120, 258, 716, 1254?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4431 divide 4162246557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.45 in -0.4, -2\/9, 6, -1, -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**2\/11 - 780444*i\/11 - 306856032\/11.\nAnswer: 6*(i - 130466)*(i + 392)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 3*y**2 - 3*y**2 + (3*y**4 - 5*y**4 + 0*y**4)*(3*y - 4*y + 8*y).\nAnswer: -13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9960?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20 = 2*p, 4*p - 52 = -4*k + 2*k. Let s be (p\/(-12))\/((-2)\/68). Solve -q + 3*f = 18, 8*f - s = 3*q + 3*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -2*i - 2, -2*g - 5*i = -17. Let r be (-2)\/4*-12 - g. Determine o so that 0*o - 1\/10*o**3 + 1\/10*o**2 + r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2166?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3686, -7375, -11064, -14753?\nAnswer: -18442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 39300*z - 78608.\nAnswer: 2*(z - 19652)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000110001 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.5 (b) 1\/12 (c) 1 (d) 10.6 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**7\/2520 + l**6\/180 + l**5\/30 + l**4\/9 - 14*l**3\/3 + 5*l**2 - 4. Let w(n) be the first derivative of p(n). Factor w(u).\nAnswer: (u + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992*j**3 + 263*j**3 + 263*j**3 + 3 - 3 + 474*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 6 + 7*c**2 - 16 + 31.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3149*p - 504*p + 2871*p - 3.\nAnswer: 5516*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 + 266.8. Let c = 0.3 + 0.2. What is the smallest value in 0.1, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.702 + -3.603. Let r = 0.061 + j. What is r rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 49. Let w be p(-21). Let g = 483 - w. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**3 - 20*g**2 + 205*g - 180 = 0.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.052 - 0.768. Let g = p + -0.28. Let f = -0.1 - g. Which is bigger: f or 3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9260 and 0.08 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -8188 (c) -1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/3*(1 + 2). Let f(x) = -9*x**2 - 180*x + 13. Let c be f(-20). Suppose 2*j + 0*w - c = w, 2*j + t = -3*w. Solve -p = j*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4 + 5198*w**3\/7 - 3872*w**2 + 7320*w\/7 = 0. Calculate w.\nAnswer: 0, 2\/7, 5, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8113 + -0.720707456\nAnswer: -8113.720707456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.182 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33246 divided by 6?\nAnswer: -5541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agaabxxsbaoaoaa. What is prob of picking 2 b and 1 o?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61921.618 rounded to the nearest 100?\nAnswer: 61900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45393*f**3 - 2 + 45395*f**3 + 3 - 1.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = i - 6. Solve 12 - s**2 - 32 + i - s - 2*s = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 62 = 7*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*o + 4, 0 = o - 2*p - 6. Suppose -b = -o*b + 5. Solve 0*j + 15 = -5*j, q = b*j + 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 4, a: 2}. What is prob of sequence az?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 65931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*((sqrt(216)\/(sqrt(24)\/sqrt(2)) - (2 + (-1 + sqrt(18) - sqrt(18)))) + -5).\nAnswer: -35 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/25)*l*l*l**3 assuming l is positive.\nAnswer: l**(126\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-6)*((-48)\/10)\/(234\/18460). Suppose o - 152 = -o + 5*h, -o - 5*h + 61 = 0. Calculate the highest common factor of s and o.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 59, 100, 149, 206?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*j + 4 - 75*j**2 - 18*j**2 - 30*j - 2 wrt j.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8499287 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0335 + 21.8665. Let h = 22 - g. What is the nearest to h in -4, -0.3, -5\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 28, 25, -12, -95, -236, -447?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/714*(-2)\/8. Solve 4*l = -q*u + 3*u + 25, -9 = -u - 3*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -522.6 less than or equal to -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 194 (b) 0.4 (c) -4\/21 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13000583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -6090983.6589348.\nAnswer: 6090987.6589348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 5, -924?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-39) - (-201)\/39. Suppose -c*w - 3*d = -0*w - 59, -d + 3 = 0. Solve a + 4*h = -w, 4*h + 1 = -5*a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1224 = -4*s + 2316, -4*s + 4716 = 4*p. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n - 3*v - 119, 145 = 5*n - 5*v. Let a(t) = 7*t - 234. Calculate the smallest common multiple of a(34) and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/15, -0.4, -11, 1\/2.\nAnswer: -11, -4, -0.4, 2\/15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 0, -3*r + 961 = 2*i + 325. What is the remainder when i is divided by 70?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5)*-2 - ((-1 + sqrt(320) + sqrt(5))**2 - sqrt(5)))*1 + -2.\nAnswer: -408 + 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-338)\/6)\/((-3)\/(-9)). Let j = -3 + 4. Find the common denominator of 1 - j\/(-18)*m and 91\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 25*l**2 - 33*l + 17. Is v(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-30) + (-22)\/(-33).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**2 + k + 2. Let l(u) be the first derivative of u**3\/3 - u - 2799. Let a = 27 - 26. Determine a*z(i) + 2*l(i).\nAnswer: -4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 1331*n**2 - 9*n + 436. Calculate v(0).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6358747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1627 + -5?\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1863865\/984 + -5683\/3. Let j = q + 3\/82. Which is the nearest to -1? (a) -4 (b) j (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816927?\nAnswer: 3, 307, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -2, -29, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -5*c + 384. Let m = -380\/3 - c. Determine y so that 3*y**4 + m*y**2 + 0*y - 4*y**3 + 0 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3965 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -20 - 1\/2*g**4 + 2*g - 3*g**2 + 2*g**3. Factor q(u).\nAnswer: -2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1049680*r**5 + 461064*r wrt r?\nAnswer: -20993600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 822884 - 109*x**2 - 822884. Let v(f) = -f. Calculate u(v(a)).\nAnswer: -109*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1395 and 56505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3711475 to 4 dps.\nAnswer: 0.3711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12266 is divided by 12172.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/7*171\/114.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/9)*y)\/(y**(-26)\/y)*((y\/((y\/(y\/(y*y**(-3\/5)*y)))\/y)*y*y)\/y)**(18\/7) assuming y is positive.\nAnswer: y**(9976\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 192976*r + 4*r**3 + 192973*r.\nAnswer: 6*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. What is the derivative of -3*v**2 - 2 + 1 - b wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2648 smaller than -97983\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1700)\/340 - (-10 + -1). Let l = -60 + 129\/2. Do y and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6493, 6500, 6507, 6514, 6521?\nAnswer: 6528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -14, -31, -44, -47?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.45 - -0.25. Let g = -32153 - -32152.8. Sort 4, g, -2\/13, l in descending order.\nAnswer: 4, l, -2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16 + 142\/760)*(126600\/240)\/211\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-143)\/(-5) + (-24)\/(-60). Calculate the highest common divisor of 29 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/63 and 24\/2191.\nAnswer: 19719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a74 - 4?\nAnswer: a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100212220121120 (base 3) to base 5.\nAnswer: 2321103441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 4*w - 19. Suppose -5*u - 60 = -20. Does 9 divide a(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1359, 2\/13, 8, -2\/9 in descending order.\nAnswer: 8, 2\/13, 0.1359, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -18770154?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -353 + -7?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -700 (b) -0.3 (c) 158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 3 + 5)*(-4*x + 4*x - x**2) - 3*x**2 - x + x - 27*x**2 + 6*x**2 - 6*x**2)*(3 + 1 - 6) to the form m*x + i + y*x**2 and give y.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -399770 * -1.45\nAnswer: 579666.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935571 is divided by 9172.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-80)*-20*-1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lulllllllllluul. What is prob of picking 3 u and 1 l?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:39 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*a - 3*a = 40, 4*g - 12 = -a. Let -114*u**2 - 11*u**3 - 14*u**g + 4 - 7*u**3 + 124*u**2 + 18*u = 0. Calculate u.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.4 + 31. Which is the third biggest value? (a) 0.5 (b) f (c) -2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-1)\/x)\/x*x)*((x**(-9)\/x*x)\/x)\/x*x*x)\/(x**(11\/5))**(1\/21) assuming x is positive.\nAnswer: x**(-641\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 204444 (base 6) to base 12\nAnswer: 9724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 2*h**2 + 2*h**2)*(140*h**3 - 9*h**3 + 159*h**3 + (-5*h**3 + 3*h**3 + 0*h**3)*(3 - 3 - 1)).\nAnswer: -584*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(6\/7)*b)\/b*b**(-9) assuming b is positive.\nAnswer: b**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*j - 26 = 4*m, -4*j = 4*m + 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -875801379.1 plus -596?\nAnswer: -875801975.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 217025737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7573959 and 5481.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 + 16*s**4 - 5164*s**3 - 121576*s**2 - 958080*s - 2217600 = 0 for s.\nAnswer: -15, -14, -4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -138b1 - -d5?\nAnswer: -137dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4763 and 18619.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 126\/24*3584\/24. Suppose -13*m + o = -12*m. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1224 (base 6) to base 7.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -4, 4, 0, 2794 in increasing order.\nAnswer: -4, -3, 0, 2, 4, 2794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3151*u + 3038*u + 3147*u + 3148*u - 12478*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426*t + 3*m - 37 = -431*t, -2*t - m = -16. Sort t, 0, 29 in descending order.\nAnswer: 29, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 98\/24) + 20\/120. Let i(y) be the third derivative of 0 + 16*y**2 + 5\/6*y**4 + 0*y - 25\/6*y**3 + x*y**5. Factor i(q).\nAnswer: 5*(q - 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q + 16. Let u be z(5). Let w(b) = -12*b**3 + b. Let c(v) = v**3 + v**2 + v. Let n(s) = u*c(s) - w(s). Find the third derivative of n(h) wrt h.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 103, 198, 289, 376, 459?\n\"Answer: -2*k**2 + 101*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5 = 2*h + 1, j = -2*h - 3. Is -6\/59 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.29 - 0.09. Let h = -15.1 + 8.9. Let q = h + k. Put 0, -1\/2, q in decreasing order.\nAnswer: 0, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 0, 5*p + 0*p + 25 = -5*z. Suppose -76*q + 18 = -70*q. Let k be -3 - (q + 26\/z). Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 1211271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a = -31*a + 3*o - 71381, -2*o = -4*a + 71366. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16500 + 68119. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2) + 2*sqrt(2) + -1)**2.\nAnswer: -38 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-9)\/2 - 2. Suppose w = f + 3. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -6 (c) 0.1 (d) -0.3 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:57 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2003660.\nAnswer: 2, 5, 100183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**4 + 4*r + 9 wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -n + 12*n - n, 1790*k - 1787*k - 6 = n + 4*n + 3 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17343.86 centimeters to millimeters.\nAnswer: 173438.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1863915 times -0.003\nAnswer: -5591.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 323 - 290. What is the smallest common multiple of 201 and s?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88785 and 3240.\nAnswer: 6392520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 1. Let p(u) = -3*u**3 - u**2 - u - 1. Let k be p(-1). Let g be x(k). Suppose -5*n + 36 + 28 = 4*d, -21 = -g*d + 3*n. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 553036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 530160.2 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 4*x + 20 = 4*n, 22 = -2*x + 5*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 2)*(-2)\/(-1). Let k = 5 - y. Suppose -c = s - 2*c + k, 0 = -s - 5*c + 17. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 - (-534)\/(-10). Let a = -400 - -345. Let q = m - a. Solve 3*g = -q*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15943893\/166 < -96048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 83.27216ml?\nAnswer: 0.08327216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40094 divided by -6672.\nAnswer: 20047\/3336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-9)\/3))\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27860 and 72628?\nAnswer: 505854020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56134233319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 - 77. Suppose o*i - 17*i = 540. Suppose i + 40 = l. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408011.\nAnswer: 408011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 13*l - 64. Let n be m(-14). Let r be (180\/n)\/(-6) - 42\/(-5). Solve r*h + 11 - 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18264 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/48*-8)\/((-2)\/(-46)). Solve j*u + 64 + 5 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 + (-13 + 0 + -1 - (73 + -73))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12291616?\nAnswer: 2, 384113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*w = 37, -3*n + 2 + 69 = -w. Solve 0 = u + 5*b + n, 5*u + 5*b = 3*b - 33 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3570 (base 10) to base 2.\nAnswer: -110111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 397*s + 8785. Determine n(21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = 2*m - 13. Let r = 54 + m. Let k be r\/130 + 2\/13. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -216*a**2 + 14*a + 4. Let u(n) = -107*n**2 + 8*n + 2. Give -6*r(j) + 11*u(j).\nAnswer: 119*j**2 + 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 12*a - 27. Let b be k(3). Suppose -151*q + 157*q - 6546 = b. List the prime factors of q.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:54 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - t = -349, 2*t + 99 - 367 = -3*z. Suppose 1 = -3*n - z. Let r = 42 + n. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134 + -134. Solve -2*g - 2*v + 18 = -7*v, k = 5*g - 3*v - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43501 times -160?\nAnswer: -6960160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 472 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-21))\/(7*2\/(-3)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -742973*k**3 - 176*k**2 + 534843408*k?\nAnswer: -4457838*k - 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k + 125. Is d(0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*a - 69350, 0 = -x + 541 - 543. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39682827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v = -10 + 28 + 84 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 7*d**4\/24 - d**3\/6 + 2*d**2. Let f(q) = -20*q + 3. Give 4*f(n) + 11*p(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 310*s**2 - 6*s - 4. Is v(-1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503206 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-6*1*-2*sqrt(91))\/(-1*sqrt(112) + 1*-2*sqrt(7)))**2.\nAnswer: -20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201288*k + 201282*k + 2*o + 8 = 0, 4*k - 3*o - 27 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69123383 divided by 7.\nAnswer: -9874769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 442 = -a, 3*a + 337 = 5*f - 117. Suppose 8*l + f = 401. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5 - 4, v + 1 = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 694 + -448. 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 factor of 18 and 1458.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 3.6, 6, -93, -0.83?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 20*o - 36. Let i be f(-4). What is the nearest to i in -20, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1\/4)\/x)*x**(-7))**(1\/15))**(3\/2) assuming x is positive.\nAnswer: x**(-19\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4998188 and 90220?\nAnswer: 24990940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) -0.5 (b) 478 (c) 0.029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -534383 and -49?\nAnswer: 534334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-2)\/(-37)*1). Let t = 1074863 - 1074860. What is the highest common divisor of t and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*q - 116*q = 239*q + 5040 + 5586 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(66\/(-19467)) - (-1)\/2*8 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 + (-93 + -181 - -6)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*(-5 + 4 - -5). Solve 0 = -0*y - l*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 15*x**2 - 3*x - 33. Calculate the lowest common multiple of 76 and r(-15).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 187, 95.\nAnswer: -14, 95, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 1:49 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c + 2. Suppose c*x = 4*x - 402. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5030, -8\/11, -3?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 8 = -4*r, 888*r + 3*u + 16 = -892*r + 2671*r - 890*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 1\/2 (c) 51475 (d) 11\/3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 18}. What is prob of picking 2 w and 2 b?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4286*t + 4248*t + 228 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20111 = 2725*p - 24376 + 77840 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 482.884?\nAnswer: -482.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4225 = 10*p - 35*p. Calculate the remainder when p is divided by ((-114)\/(-4))\/((-6)\/(-12)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 8 = -10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - y = -6*y + 13, -j + 2*y - 7 = 0. Let a(f) = -48*f + 98*f + 8 - 51*f. Calculate the remainder when a(j) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + w + 1. Suppose -4*z + 5*z = -6. Let q = 6 + z. Calculate t(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(605) + -3) + sqrt(605) - (-1 + -1 + sqrt(605) - sqrt(605))**2) + 3.\nAnswer: -7 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 4*k + 4*k + (-1 - 2 + 2)*(0*k - 3*k + 4*k) + 0*k + 0*k - 2*k - 131*k - 294 + 294.\nAnswer: -133*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:47 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -814.\nAnswer: -23\/814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1347\/5 - -34847\/130. Which is smaller: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2033456 and 1216.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354262 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: Product of 158.3 and -1.\nAnswer: -158.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -38 (b) -0.1 (c) 4 (d) 726 (e) 13 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23016224359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -598, -4885, -16584, -39403, -77050?\n\"Answer: -618*m**3 + 2*m**2 + 33*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/7 + (-2 - -2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -51177, -51189, -51201, -51213?\n\"Answer: -12*m - 51165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6262821 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 2}. What is prob of picking 1 e and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-13) + (-5244)\/52. Is -102 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 - (-76)\/18. Solve -y*v - 16 = -8*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 9*p**2 + 7*p - 5. Let l be s(-8). Find the second derivative of -l*n**5 - 2*n**5 + 2*n**5 - 5*n wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 39*b + 261. Determine g(-45).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80))\/sqrt(4))\/(sqrt(16)\/sqrt(4)*3).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 - 5 = 0. Let j(s) = s**3 + s**2 - s + 4. Let t be j(0). Suppose 3*d - t*h - 28 - 40 = 0, -122 = -5*d - m*h. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2222 is divided by (2101\/(-22) - -26)\/((-1)\/2)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*q = -27707 + 31865 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 3440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 3)*(-m**2 - 6*m + 6*m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274 + -276 + (-1 - -1) + -4 - 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*h + 682*h + 37 - 56 + 80 + 70.\nAnswer: -3*h + 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {k: 2, c: 5, n: 8}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076 take away -390?\nAnswer: 389.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - -0.34. Let q be (-1)\/(-4) - (-2775)\/100. Suppose 16*r + 36 = -q. Which is the second smallest value? (a) r (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 6*n = 10*n - 24, 0 = -3*o + 3*n - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3357 and 72.\nAnswer: 26856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*c*i + 252359*c*u + 4312*i*u - u with respect to i.\nAnswer: -34*c + 4312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206704 is divided by 6359.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886205923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -99. Let p = 54 - l. Solve 0*d + 4*d - p = 2*y, -3*d = y - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 196*t - 10. Let q(f) = 87*f - 4. Let i(x) = -4*b(x) + 10*q(x). Let a(k) = -20*k**2. Give i(a(v)).\nAnswer: -1720*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 1 - 1)*(8 - 8 + 3*i**2) - 4*i**4 + 3*i**4 + 0*i**4.\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - h = 3, -2*h = -2*q - 0*h + 2. Suppose -6 = -q*s - 27*r + 26*r, 0 = -4*s - 5*r. Which is the closest to -1? (a) -1 (b) -5 (c) s (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*h - 33*h = 1584. Which is the second smallest value? (a) h (b) -13 (c) -5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**4 + 22*r - 596 wrt r.\nAnswer: 4*r**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**2 + 18*m + 20. Let c be h(-5). Suppose -5*b - 5*y + c = 0, -4*b + 5*b - 3*y = 32. What is the smallest common multiple of b and 76?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120 - 5552?\nAnswer: -5432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 28. Let o(n) be the third derivative of n**6\/120 + 7*n**5\/60 + n**4\/8 + n**3\/3 + n**2. What are the prime factors of o(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -140*g - 10934. Give k(-78).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 8336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 6663.\nAnswer: -4\/6663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-13826\nAnswer: 6913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -49*u**6\/360 - 3*u**4\/2 + 7*u**3\/3 + 1. Let j(n) be the third derivative of x(n). Find the first derivative of j(c) wrt c.\nAnswer: -98*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8692.5675 + -8681. Let r = n - 11.6. What is r rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 111*l**2 + 3*l - 329. Give s(111).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -213?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u + 628 = 97*u - 1372 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 407 - 665 = 4*o, -o + 530 = 2*g. Does 38 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -15, 2\/127, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4698 and 16.43.\nAnswer: -7.718814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -711457000 rounded to the nearest one million?\nAnswer: -711000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 2*q**2 - 2*q + 3. What is l(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 17 + -6 + (9 - 11). Suppose -19 = -3*q + 146. Calculate the highest common factor of q and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 4. Let p be y(-2). Let x be 0\/((-6)\/(-9) + 8\/(-3)). Solve j = -x + p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-31))\/n*n*n\/(n**3\/n)*n)\/((n*n*n*n**(-15))\/n**10) assuming n is positive.\nAnswer: n**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 3*u**2 + 24*u**3 - 12*u**3 - 4*u - 11*u**3 + 3. Let q(p) = -p**2 + 5*p. Let v(o) = o**2 - 7*o + 14. Let m be v(5). Let t be q(m). What is j(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/((-1)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 204.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/12 + 0)*3. Let l(q) = -2*q**2 + 6*q - 9. Let r(n) = -n**2 + n - 1. Let w(j) = l(j) - 6*r(j). Let g(h) = h**2 - 1. Give s*w(u) + 3*g(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 2. Let f(s) = s**2 - 1. Let o(n) = -3*f(n) - 2*v(n). Let g(r) = 7*r**2 - 2*r + 7. Let p be 25\/20 - (-1)\/(-4). Determine p*g(b) + 6*o(b).\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 608 = 592. Solve c*p = -6 + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.27?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.3. Let t be (6\/16)\/(6\/(-4)). Which is the nearest to t? (a) n (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24287150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*1)\/(10\/40). What are the prime factors of f*-1*9\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = c + 25, 3 = -2*a + 3*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4648.959 + 4649. Let f = -2.674 + 0.633. Let g = f + x. Sort -2\/5, g, 2\/3, 4 in increasing order.\nAnswer: g, -2\/5, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/36 - 1\/(-4). Let m be (14 - (-146)\/(-10)) + 30662\/36120. Let c = -1\/903 - m. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/207 and -89\/1449?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*p + 11*p - 1 + 68*p)*(4*p + 7 - 7)*(1 - 3 + 13).\nAnswer: 3608*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5 = 2*z, -10*u + 4*z + 14 = -8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4785.12 + -5.07374.\nAnswer: -4790.19374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 95, 395, 905, 1625?\n\"Answer: 105*n**2 - 15*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3578*l - 181 - 144 + 563 + 107 + 1297 wrt l.\nAnswer: -3578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -1.3. Let o be 8\/2 + ((-225)\/(-4))\/(-15). Are o and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - 0)*(6 + -1). Suppose -5*i - 3*i + t = 0. Suppose 5*d + 5 = -i. Which is smaller: d or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*q = -164 + 154, 0 = -3*k + 4*q - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, g: 1, z: 2, k: 1, d: 2}. What is prob of sequence zz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120254, -481030, -1082324, -1924136, -3006466?\nAnswer: -4329314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 17 = q + 3*q, 4*r - 23 = q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2161 - 2147. Suppose 92 = 3*t - 34. What is the highest common divisor of h and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by -29.\nAnswer: 83\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -12, 1296.\nAnswer: -12, -4, 5, 1296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, r: 4, z: 4, t: 3, x: 2, u: 2}. Give prob of sequence trx.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 3. Let h = -9 - -10. Let f be -2 + (2 + -3)\/(-1). Let j(w) = w - 1. Give f*t(d) + h*j(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 26. Let z be o(-15). Suppose -z*k = -k - 12. Let y(t) = -t + 3. Calculate y(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/2))\/a)**21*a**(-3\/4)*a**2*a*a**(2\/13)*a*a*a*a\/(a\/(a\/(a\/(a*a\/a**(-9)))*a))*(a**(-1)*a)\/(a*a\/a**2) assuming a is positive.\nAnswer: a**(359\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 43218.\nAnswer: 86436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 148*h**4 + 73*h**3 - 2*h**2 + 41*h + 136134035?\nAnswer: 592*h**3 + 219*h**2 - 4*h + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**2 + 24*n - 41. Let d(o) = 13*o**2 - 23*o + 37. Let z(r) = -3*d(r) - 4*g(r). What is z(24)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 13*j - 3. Let r be u(14). Let f(z) = -3*z**2 + 2*z**2 + r*z**2. Let d(t) = t. Determine d(f(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11 - -4)*(-8)\/(-6). Suppose y - 6*y - 5*g + q = 0, 20 = 5*y + 3*g. Let i be -1 - y*3\/(-6). Put 0.3, i, -1 in descending order.\nAnswer: i, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*8\/(-152))\/(5*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y + 29. Determine x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.293302 rounded to 1 dp?\nAnswer: -37.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 69 = 9*h, 3*h - 38 = -115*y - 121*y + 240*y for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**10)**(-24)\/(((h*h**29)\/h)\/(h*h**(-2\/35)*h)) assuming h is positive.\nAnswer: h**(-10187\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:16 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*t + 2275*n**3 + n**2*t**2 + 359*n*t**2 + 12*t**2 wrt n?\nAnswer: 6*n*t + 13650*n + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -4c?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3\/5*j**2 + 0*j + 0 - 3\/5*j**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l - 38. Let f be q(-4). Solve 4*u + 4 = j, -f*u + 0 = 3*j + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o + 9*o**2 - 101*o**3 + 34*o**2 - 45*o**2 + 41*o.\nAnswer: -101*o**3 - 2*o**2 + 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/5)\/(-2 - (-13 + 5))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7780 + 7776. Suppose -2*d - l = 0, 0 = 2*d + l - 2*l + 8. Put d, 3, -5, c in ascending order.\nAnswer: -5, c, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + 50 + 101 + -63?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4147 + -2401. Let u = 1748 - w. Factor 32\/3*g + 2\/3*g**u + 128\/3.\nAnswer: 2*(g + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -5, 32, 3, 1\/19 in ascending order.\nAnswer: -5, -3, 1\/19, 3, 10, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7287 + 8744371\/1200. What is the common denominator of -89\/1920 and h?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and 0.7?\nAnswer: 13.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 13, y: 6}. What is prob of sequence rryr?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116 times 14348?\nAnswer: -1664.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -34 + 4*a**2 - 26 + 26*a - 16 - 38. Let b be s(4). Calculate the greatest common divisor of 54 and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t = 10. Let s = -4 - t. Which is the second biggest value? (a) 0 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*o = -320. What is the hundreds digit of o\/1*1\/(4\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1559580 and 52800.\nAnswer: 124766400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = 10*g + 835. Let h = g - -49. Find the common denominator of 722\/160 + 1\/h - 2 and -83\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166026 is divided by 138?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3649252795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 9*a**2 + 25*a + 1. Let s(h) = h**3 + 12*h**2 + 27*h + 1. Let b(c) = -7*n(c) + 6*s(c). Let j be b(7). Solve j*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 465618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*y**3 - 196*y**3 + 102*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9*1)\/(-76*(-2)\/171)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1742, -1689, -1636, -1583?\nAnswer: -1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100924319 + 0.03.\nAnswer: -100924318.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(21 - 66*p**2 - 21) + p**2 - 1 + 1.\nAnswer: -131*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -288 or -0.3?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 9:51 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -4) + -2 + (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + 5 + -6*(-4 + 4 + -1 + sqrt(704))) + 1)**2.\nAnswer: -2496*sqrt(11) + 101545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4245 + 4245.4. Which is the nearest to -3? (a) -2\/7 (b) t (c) 8 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 947*t**3\/6 - 330*t. Let c(o) = -o**2. Give j(c(z)).\nAnswer: -947*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from voovohvvhvohoh. What is prob of picking 1 o and 3 v?\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, y: 2, i: 4, w: 5}. What is prob of picking 2 g and 1 y?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - -2.03. Let i = 10.4 - 9.9. Which is the third biggest value? (a) v (b) -2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 w, and 1 a when four letters picked without replacement from xvxwgwaggvgxswavw?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1195 - 5973\/5. Let o = 0.26 - -0.14. Let h = 0 - o. What is the third smallest value in 0, h, b, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/111 and -30\/7.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 166908.\nAnswer: 500724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t + 4*y - 6, 0 = 2*t - y. Let s be 25\/5 - (-1 + t). Suppose 3*m - k + s - 15 = 0, -2*k + 10 = 4*m. Solve 5 = -8*z + m*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 51072?\nAnswer: -51065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i + 75. Let w = -23 + i. Solve -w = -4*c + 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1118 - 2225. Let u = 7\/20 - -12\/5. Find the common denominator of u and r\/420 + (-6)\/(-21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, b: 10, v: 2}. What is prob of sequence pvvb?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**2 + 2 - 2 + 13*p**2 - 15*p**3 wrt p?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11595 divided by 3\nAnswer: 3865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 + 1. Give z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 j when four letters picked without replacement from {t: 1, e: 2, p: 6, j: 7, l: 1}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -1. Calculate the remainder when 195\/6 + 6\/(-4) - 1 is divided by 0 - 32\/p - 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*j = -19*t - 2*j + 145, -25 = 4*t - 7*t - 2*j for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1111011100 (base 2) to base 14\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2*5\/(-35)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 830429.9 meters in centimeters?\nAnswer: 83042990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - -44. Let s = 148 - l. Calculate the highest common divisor of s and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 0 - 1 - (26 + (-131 - -76))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305519, 305474, 305423, 305360, 305279?\nAnswer: 305174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 + 3*s + 5. Determine x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675086 is divided by 1114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/13 - 11614*q\/13 - 432456\/13 = 0. Calculate q.\nAnswer: -37, 5844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + w + w = 73, 2*q = 3*w + 40. Let s = -1 - -3. Suppose 4*o - 32 = 2*m - m, 2*o = -s*m + 16. What is the remainder when q is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775414 to the power of 1\/2, to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10810.6 * -5\nAnswer: 54053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3012 and 9711.\nAnswer: 9749844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.04 (b) -0.2 (c) 5\/3 (d) -0.3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -915\/117122?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-75)\/(-10)*(-4)\/6. Let j be r\/4 + 6\/24. List the prime factors of (-3)\/(1\/9*j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(110)*-3 - (sqrt(110) - (sqrt(110) + -2*sqrt(110)*-4)))\/(sqrt(60)\/(sqrt(12)\/sqrt(2))*-2))**2*2.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + f - 1. Let h(o) = 2*o**3 - 6*o**2 - 7*o + 7. Let l(i) = h(i) - s(i). Let w = -62 + 69. Let g be l(w). Which is greater: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1199645927 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3. Let c(g) = 98*g**2 - 3*g + 1. Let i be c(7). Suppose -4*o + 10*o - i = m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68 - 30?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 5*m**5\/12 - m**4\/12 + m**3\/2 + m**2 + 35*m + 20. Let a(k) = -2*k. Calculate a(y(o)).\nAnswer: -50*o**2 + 4*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -53*s - 10234. Let l = s + 605. Solve -14\/5*t**l + 8\/5 + 2\/5*t**2 + 16\/5*t - 2*t**4 - 2\/5*t**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43330, -43179, -43028, -42877, -42726?\n\"Answer: 151*g - 43481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 13\/20*o**4 + 12 - 1\/25*o**5 - 64\/5*o - 4*o**3 + 56\/5*o**2. Solve c(l) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/11)*v**(-2\/29) assuming v is positive.\nAnswer: v**(65\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 3*k - k**2 + 7*k + 3*k. Let v be -6 + 5\/((-10)\/(-4)). Let w(p) = -2*p**2 + 7*p. Give v*y(u) + 3*w(u).\nAnswer: -2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14282, 28695, 43348, 58361, 73854, 89947, 106760, 124413?\n\"Answer: 20*j**3 + 14273*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) + (sqrt(77)*2)\/sqrt(11)).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + -2 + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22557\/721 - (-30)\/(-105).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 17*o**2 + 315*o - 5190. Give l(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 4*q + 72, -4*j + 3*q + 10 - 26 = 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3838301, -7676603, -11514905?\n\"Answer: -3838302*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8038 divided by -5?\nAnswer: 8038\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/3)\/(4\/6). Let k(w) = -w**2 - 2*w + 3. Let q be k(-4). Let z = q + 4. Is b at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*q = -3*q + 1393, -4*q = -v + 1391. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*u - 85*u - 32 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.1108kg in milligrams?\nAnswer: 533110800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 = -2*f. Solve 0 = f*z - z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-8) + (-15670)\/(-40). Suppose 0 = -3*a + 3*h + u, -3*a + 3*h + 261 = -a. List the prime factors of a.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48825981 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*8\/(-2). Let b = l - -4. Suppose -b*n = 2*n - 128. Calculate the remainder when n is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbdbbbbdbb. What is prob of sequence ddb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1125 - 1163 = 2*o - 46*o. Suppose -2*h + 161 = h - w, 0 = -h + 3*w + 43. Do h and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5062375699.\nAnswer: 5062375699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.8 + 3.703. Let r = -0.103 + g. Are r and 222 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h - 1. Let x be k(-1). Suppose -v + x*v = 8. Suppose 0*j + j - 4 = 0. Solve -j*p = -0*p - v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767747.\nAnswer: 767747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710 divided by 15?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**2 + 28*u**2 + 11*u**2 + 5*u**2 - 6*u to the form r*u**2 + h + p*u and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26350309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 12, -4*g - 11 = -4*t - t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 5230911 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 14 = -59. Suppose -17*p + x*p = 0. Solve -2*y - y - 6 = p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/217820 and -21\/958408?\nAnswer: 4792040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1466, -2289, -2010, -77, 4062?\n\"Answer: 92*l**3 - l**2 - 1464*l - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3*v + 6*v)*(3 - 3 - 5*v) + 2*v**2 - 4*v**2 + v**2 - v**2 + 3 - 3 + (3 + 2 - 7)*(-v + v**2 + v) - 2*v**2 - 3*v + 3*v.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-5)\/(-1))\/10 - 5\/(4230\/473) and 133\/6.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*r**3 - 730*r**2 wrt r.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 403\/(-15) - 38\/285. Suppose 18 = 5*s - 3*g - 26, 0 = -2*s - 3*g + 26. Let f = s - t. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 226 - 224. Let -9*f**2 + 32*f - 46*f - f**g - 2*f**3 + 26*f = 0. What is f?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6856*o - 13950*o + 6968*o.\nAnswer: -126*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2. Suppose -2*t = -t - 3. Let v be (0 - 15)*(-1)\/3. Let r(m) = -t*m + v*m + m. Give r(k(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*s - 121 + 603, u = -4*s + 92. What is the remainder when 391 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 - 3*c + 1. Let v(b) = 1 + 4*b**2 - 3*b**2 - 2*b**2 - b. Suppose -27 = -8*d + 5. Let p(r) = d*v(r) + t(r). Calculate p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 5, o: 4}. What is prob of picking 1 a and 3 o?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163456?\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -38*x**2 - x + 1. Let p be r(1). Let w = 258 - 256. Put p, -2, w in ascending order.\nAnswer: p, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3207, -3210, -3223, -3252, -3303, -3382, -3495?\nAnswer: -3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 186\/(-8)*(-3 + (-6)\/(-18))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 7. Suppose n + 0*n + 3 = 0. Calculate the remainder when 170 is divided by b(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32106060 by 305772.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 206*b + 68 - 263 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3. Let g(r) = -3*r. Let n be g(q). Is n < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f - 64 = 0. Let g be (-4 + 2 + 6)\/(2\/4). Let s = f - g. What is the lowest common multiple of 3 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -641*v**3 - 2*v**2 + 52*v - 51. Give d(1).\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 4*c + 14. Let a be t(7). What is the common denominator of (38\/40)\/(a\/(-42)) and 10\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/5 (b) -1\/8 (c) -0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 22 = y, 5*y + 44 = -0*f + 4*f. Suppose 10 = z - 2*b, z + b = -4*b - 11. Let m(w) = -w**2 + 5*w. What is the remainder when f is divided by m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 75871, 151715, 227555, 303391, 379223, 455051?\n\"Answer: -2*r**2 + 75850*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/4)\/g*g**5*(g\/((g**(-4\/7)*g)\/g))\/(g*g*g**(-3)*g*g)*(g*g**1*g)**(-10\/9)*((g**(-6)*g)\/g)\/g**7 assuming g is positive.\nAnswer: g**(-883\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + 5*k**2 + 2*k + 9. Let g be 34 + -3 + 21 + -24. Let q = g + -22. Let u(v) = -2*v**3 - 6*v**2 - 2*v - 10. Give q*j(f) + 5*u(f).\nAnswer: 2*f**3 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095522420 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 4 - (2 + 1). Let n = h - -2. Suppose -20 = -0*i - n*i. Calculate the remainder when 37 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 66*q - 22*q. Solve 2*c - 4*m = -2, 0 = 4*c - 4*m + m + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 5*m + 2. Let t(a) = -1. Let i(q) = -6*q - 18. Let y(s) = i(s) + 5*t(s). Let w be y(-5). Does 19 divide z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020*r**2 + 439*r**2 - 127*r**2.\nAnswer: 1332*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22030, 22032, 22034, 22036, 22038, 22040?\n\"Answer: 2*p + 22028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 58\/(-8)*7. Let u(g) = -1571*g + 66035. Let c be u(42). Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - (483 + -478 - (-1 - 2 - 0 - -2))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-100)\/480)\/(45\/(-12)))\/((-80)\/(-15))?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v + 22. Let q(u) = 5*u - 23. Calculate 2*l(b) + 3*q(b).\nAnswer: 3*b - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2510*m**6 - 5*m**5 + 11*m**3 - 24*m**2 + 59446*m wrt m?\nAnswer: -301200*m**3 - 300*m**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3)*(-15)\/(-2). Let r be (6 + -1)*(y + -4). Suppose -2*a - 3*j + 771 = 0, r*a + 2*j - 1959 = 5*j. Round a to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*(-4)\/(-1). Suppose 4*g - 1 = -2*m - 5, 5*g - a = m. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/608 or 0?\nAnswer: 3\/608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = h + 6, 16 + 6 = h - 5*z. Suppose 2*v = -2*v + 8. What is the remainder when v is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2338760 and 39\/116938.\nAnswer: 2338760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let n(h) = -22*h + 30. Let g(l) = -3*d(l) - n(l). Let i(w) = -w - 1. Let x(a) = g(a) - 4*i(a). Find the first derivative of x(s) wrt s.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*v**4 + 21*i**3 - 2*i**2*v**2 + 4*i*v**2 + 18*v**4 wrt v.\nAnswer: -24*i**3*v + 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*2*2 + 1*(sqrt(152)*-3 - sqrt(152)))\/(-1*(sqrt(128)*-2 + sqrt(128))*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19908 divided by -9954.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:52 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 226*n. Let g(a) = -5171*a. Determine g(k(t)).\nAnswer: -10342*t**2 - 1168646*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*(-6)\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 8*h. Let g = 200.9 + -201. Let s = -0.393 + -0.107. Which is the nearest to 2\/3? (a) g (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -49, -53, 19, 215, 583, 1171, 2027?\n\"Answer: 8*q**3 - 34*q**2 + 14*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p + 1. Let c(t) = 13*t - 2. Let n(q) = q. Let y(r) = c(r) - 3*n(r). Let f(l) = 7*h(l) + 4*y(l). Let m(j) = -14*j + 2. Calculate 8*f(o) + 3*m(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2436046 is divided by 11437.\nAnswer: 11402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10110100101101010000 (base 2) to base 6\nAnswer: -23510424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 - 280013*m**2 + 5879886*m - 15119568 = 0 for m.\nAnswer: 3, 18, 279992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 11, -45, 52 in increasing order.\nAnswer: -45, -5, -1, 11, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*d**3 - 16\/7*d**2 - 12\/7*d + 0 = 0. What is d?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/30 - 9\/18?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 10*i - 19. Let p be x(-13). Let l = 28 - p. Suppose 3*a + h - 3*h = 14, -7 = -3*a - 5*h. Calculate the highest common divisor of l and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81184\/3 or 201?\nAnswer: 81184\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q - 10. Let d(v) = v**2 + v + 1. Let s(r) = d(r) - o(r). Let y be s(2). Solve -2 = m - 2*m, 2*m = -3*t + y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -28. Let m = -68.00000565 + i. What is m rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-11394)\/12)\/3)\/(4\/(-1)). Let d = b + -79. Do d and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o - 2*o + 0*o)*(-o - 4*o + 4*o)*(1 - 3 + 0).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-16)\/(-6))\/(-4))\/(3\/(-99))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44617495297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.058 millennia to months.\nAnswer: 648696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 4)*(b + 0*b - 3*b + (47 - 47 - 2*b)*(0 + 5 - 3)) as c*b + f and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 7*p - 8. Let m(k) = 2*k**2 - 8*k + 9. Suppose 24 = -11*z - 9. Let v(u) = z*s(u) - 2*m(u). What is v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 - -1 - (18 - 19)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x - 19*x - 108 + 107)*(-x**2 - x**3 + x**2)*(-6 + 1 - 2*x + 0*x).\nAnswer: -58*x**5 - 147*x**4 - 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/2)\/(61\/3007117) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34149 minus 45?\nAnswer: -34194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 23*h**3 + 20*h**3 + 2*h**2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 5*c**2 + 29*c - 150. Calculate the common denominator of i(5) and ((-9)\/(-10))\/((-2)\/35).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 7*r**2 + 3*r - 7. Let i be u(-5). Suppose -86 = 5*f - 4*n, 3*n = -2*f - 24 + 8. Let m = i + f. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/98 - ((-65)\/7 + 0). Find the third derivative of -32*w**2 + o*w**2 - 22*w**3 - 18*w**3 wrt w.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15\/4 (b) -64 (c) 3\/109 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from qujqjujuj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9678 (b) -3\/277 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmr when three letters picked without replacement from {r: 1, m: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/15*(-2)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19895 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 16 = -o + 10, 0 = 2*s + 5*o + 16. Suppose -2*w - 14 = 4*q - 5*q, -3*w = 5*q - 5. What is the third derivative of l**q + 13*l**s + 81 - 81 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/2)\/(2805\/220)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 o when three letters picked without replacement from bqbssqsssqbbo.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940478771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -381039 and -108.\nAnswer: -381147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 - 2 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215983 + -216006. Let u = 40 + -399\/10. Which is the second smallest value? (a) 1 (b) u (c) 2\/9 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21021000 (base 3) to base 11\nAnswer: 3a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0660429291 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -22013021?\nAnswer: 22013103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.97. Let a = h + 0.02999924. What is a rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -r + 36. Suppose m = 5*v + 10 + 5, -3*v + 4*m = r. Which is the second biggest value? (a) 4 (b) v (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2 + 5*w - 2. Suppose 170*z - 175*z = -10. Suppose -2*k = z*t + 2, 14 + 6 = -5*k. Let u(j) = -11*j**2 + 11*j - 4. Determine t*u(d) - 7*m(d).\nAnswer: 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 4 + 4 + 5*x - 3 + 2. What is the units digit of a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11722877499729 - -0.19?\nAnswer: 11722877499729.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23897424 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*s = -s + 24, 0 = 3*g - 3*s + 6. What are the prime factors of ((7\/g)\/7)\/(1\/386)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503 less than 6503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24673 - -24675. Sort 0.4, 1111, l.\nAnswer: 0.4, l, 1111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 7. Let p = b - 11. Let c = 0.9 - -0.1. Put 1\/10, p, c in descending order.\nAnswer: c, 1\/10, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 3053, 0 in descending order.\nAnswer: 3053, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 23*a - 467*a + 0.\nAnswer: -490*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 56*v - 374. Determine k(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173, 0, 100.\nAnswer: 0, 100, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-10))**(-30))**(-1\/53) assuming x is positive.\nAnswer: x**(-300\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -324 - -2921\/9. Factor 4\/9 - d*z + 1\/9*z**2.\nAnswer: (z - 4)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9293, 0.2, -0.1, -16, 4\/7, 0.1, 0.28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y + 556. Let j be a(-23). Let h = 150 + -126. What is the highest common factor of h and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1469.\nAnswer: -4\/1469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/9))**(2\/33)\/(d**(-2))**(-6\/11) assuming d is positive.\nAnswer: d**(-326\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 312 = 304. Solve -x - l*m - 18 = 0, -3*x - 1 = -6*x - m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -16*q - 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/6 - (-329)\/21) + 8\/6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 4*j + 52, -39*r - 3*j = -103*r + 65*r + 52 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/600, 2, 0.4, 1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + r - 9757 = 0, -7*r + 10*r - 4891 = -2*h. What is the greatest common factor of h and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 17 - 5 + 6)*(11*b - 4*b - b).\nAnswer: 120*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 90. Factor -4\/7*g**3 + 2\/7 + 6\/7*g - 6\/7*g**4 + 4\/7*g**d - 2\/7*g**5.\nAnswer: -2*(g - 1)*(g + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*o - 539 + 1028 = -2619 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 96*n + 105. Let f(d) = 49*d + 52. Let r(k) = 5*f(k) - 3*y(k). What is the first derivative of r(g) wrt g?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1031, -16571, -34169, -51763, -69353, -86939?\n\"Answer: 2*p**2 - 17608*p + 18637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 12*r + 14. Suppose 0 = 2*l - 68 - 98. Calculate the remainder when l is divided by q(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0 + 0*v**3 + 0*v**4 - 1\/20*v**5 + 9*v**2 + 0*v. Let g(b) = -2*b**2. Determine g(s(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6396569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -223. Let s = -206.000000617 + g. What is s rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*h + 5. Let i(c) = 2*c**h + 5*c**2 - 6*c**2. Let d(y) = -6*y**2 - 17. Let j(t) = 2*t**2 + 6. Let l(x) = 6*d(x) + 17*j(x). What is l(i(s))?\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -2*f**4\/3 + 13*f**3\/6 + 42*f**2. Differentiate g(o) wrt o.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -36. Which is the closest to -1? (a) -1 (b) -1\/10 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277 - -1861. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397 = 60*v - 7*v + 345 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 10403\/19 and 548 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 31161026?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -277.9697?\nAnswer: 6949.2425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*47\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 - -5.4. Let j = 29 + -2. Suppose -24*i + j*i + 6 = 0. Which is the nearest to -3? (a) w (b) -3\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30526 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*g - 2*k - 15, -g + 9 = -2*k. Let t(d) be the first derivative of 17*d**4\/4 + d**3 + 3*d**2\/2 - 6*d - 1. Is t(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -130.3 and 2.3.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(0*i**2 + 0*i**2 - i**5) + 88*i**5 - 9*i**5 + 5*i**5 + i**2 + 0*i**2 - 3*i**2 - i**5 - i**5 - 2 - i**5 - 2.\nAnswer: 79*i**5 - 2*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73008841, -146017670, -219026499, -292035328, -365044157?\nAnswer: -438052986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4275606 divided by 13.\nAnswer: -4275606\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(14\/16)*(-23 - 0). Solve -7*f = 191 - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100149?\nAnswer: 3, 7, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1821*z + 762390 - 762390 to the form y + d*z and give d.\nAnswer: 1821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -3*r**4\/4 - 25*r**3\/3 - 11*r**2\/2 + 5*r - 6. What is the least common multiple of u(-5) and 200?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 0*f - 4*w = -20, -618*w + 1 = 2*f - 623*w + 26 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.69 + 6.69000114. What is n rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299797153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(192)\/sqrt(4))*4)**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -584 - -600. Calculate the greatest common factor of h and 1008.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -868\/13 + 136250\/2041. Find the common denominator of h and -76\/3.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119370742 by 59685371.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 18*h**2 + 1\/12*h**4 + 1\/120*h**6 + 0 + h + 1\/10*h**5 + 0*h**3. Suppose 0 = 4*i + k + 20, i + 3*k + 10 = 4*k. Determine j(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2\/5*k**4 - 18*k - 94\/5*k**3 + 182\/5*k**2 + 0 = 0.\nAnswer: 0, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 + 1101*s\/5 + 1102\/5.\nAnswer: -(s - 1102)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**3\/3 - 2*h**2 - 21*h - 518. Let s = 18 + -11. Let v be q(s). Solve -4*u - 20 = -v*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 501 + -366. Let i = p - 135.1. What is the third smallest value in i, 2, -1\/5, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - k = -3*k + 12, 4*k - 10 = -a. Sort 8, -1, a in decreasing order.\nAnswer: 8, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 75.405 (b) -4\/3 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 2*y + 1. Let q be p(-2). Let f = q + 2. Suppose 5*h - 4*l - 889 = 0, -4*h + 705 = -0*h + f*l. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-352)\/264*6\/44 + 2445062\/22 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4054*0.42369.\nAnswer: 1717.63926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48 - 67 - 326)*(2 - 3*q - 2) + 4*q - 3*q + 0*q to t*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d - 58. What is m(0)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 421195, 0, -3\/2, -0.2 in ascending order.\nAnswer: -3\/2, -0.4, -0.2, 0, 421195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - k = 27, -3*u - 4*k - 33 + 128 = 0. Solve -38*q - 45 = -u*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -3.2. Let r = j - 1.8. Sort 0.2, -2, r in decreasing order.\nAnswer: 0.2, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9508225 tonnes to nanograms.\nAnswer: 950822500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*l**2 + 5*l**3 + 5*l**2 + l**2 - 19*l**2 - 32*l to a + n*l + m*l**3 + x*l**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 55*p - 3877. What is j(50)?\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 552 = -153*t, -637*t + 636*t - 36 = 2*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 10 = -5*x, 4*h + 8*x - 6*x + 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6341 divided by -1?\nAnswer: 6341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -52*(1345\/(-20) + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 3*h + 3*h)*(3*h - 4*h + 2*h) + 31 - 31 - 8*h**2.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32099297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 83?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*y - 1. Let s be -11*(3 - 1 - y). Let j = -5 + s. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 320\/5 + 2 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*l + 762*l**4 - 4 - 3*l**3 - 763*l**4 + 4*l**3 + l**2 + 7 to v*l + h*l**3 + j*l**2 + x + w*l**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1319415 divided by -15.\nAnswer: 87961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13212 - -19531. List the prime factors of m.\nAnswer: 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/15)\/((-81)\/15 - -5). Suppose k - t + 2*t = 7, 0 = t - 3. Solve k*b - r = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/80 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16528 is divided by 236.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**3*z**3 + 208*p**3*z**2 - 2*p**3*z + 401*p*z**3 wrt z?\nAnswer: -6*p**3 + 2406*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -269c (base 15) to base 16.\nAnswer: -2037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20019551309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21995 divided by 8\nAnswer: -21995\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 81. Let g(f) = -1. Determine 4*g(o) - i(o).\nAnswer: -o + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -10. Suppose -m - b*m = -1127. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:23 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4343411*k**2 - 459084*k - 16?\nAnswer: 8686822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*d + d. Let v = d - -1. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1161937, 1161938, 1161939?\nAnswer: 1161940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 407*s**3 - 22953*s**2 + 47123*s - 23764.\nAnswer: (s - 457)*(s - 1)**2*(s + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5305 = -420*u - 5541 + 3706 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 + 141*c**2 - 72*c + 193. Calculate g(70).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and (-6)\/(-15) - (-76)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 59028.\nAnswer: 944448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3 = 23000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 215695783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/9 and 103\/173730?\nAnswer: 521190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -230618 + 230564.04138. Let l = -54.9286087 - t. Let x = l + 0.97. Round x to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**3*y**3 - 6*n**3*y**2 - n**3 - 11*n*y**4 - 3*n*y**2 wrt y.\nAnswer: 36*n**3 - 264*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 131 - 5. Let r = -141 - n. Which is the nearest to -6? (a) 1\/7 (b) -0.4 (c) r (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779718 is divided by 358?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -1\/20*m**4 + 0*m**5 + 0*m + 2\/15*m**3 + 4*m**2 + 1\/300*m**6 + 0. Factor d(z).\nAnswer: 2*(z - 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 649112 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -314.7906 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/25 + (-24)\/(-10). Let j be 2\/p - (-4 + -3). Solve r + 3*r = -j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**5*v\/(v**(-5)*v*v))**(-27) assuming v is positive.\nAnswer: v**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 4, 0.3, 0.4, 46?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:35 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40467552 to the nearest integer?\nAnswer: 6361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*s**4 + 49*s**3 - 32*s**2 + 8*s + 6*s**4 - 15*s**3.\nAnswer: -2*s*(s - 2)*(s - 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 2608, 18, -5 in decreasing order.\nAnswer: 2608, 18, 6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 10. Let g be u(8). Suppose 2*d = g - 0. Which is the nearest to -0.1? (a) -3 (b) -2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20565403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2003848072370 and -2.\nAnswer: -2003848072372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 <= 6952\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/60 - 7*w**4\/24 + 3*w**3\/2 - 3*w**2. Let r be k(6). List the prime factors of (-6)\/9 - (-41)\/r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979 = -48*y - 6*y - 35*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -h - 2 - 7, 20 = 5*b - 3*h. Let p = 29 - 27. Calculate the remainder when p is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -40. Let h = n + 32. Suppose k = 77 + h. What are the prime factors of k?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069776 a multiple of 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 4. Let o(d) = d**3 - 5*d**2 - 3*d - 5. Let j be o(5). Let q be (j\/(-6))\/(8\/24). What is the tens digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*1 - -3*(1 + 0). Solve k*y - 11 = -5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9 = -1. Suppose -5*z - 3*l = l - 10, -o*z = 3*l - 4. Let x = -8.5 + 8. Which is the closest to 0.1? (a) -1 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**3 - 4*i**3 - 5*i**2 + 4*i**2 + 174. Let u be q(0). Suppose 0 = 4*g - u - 4102. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q**5\/7 - 132*q**4 + 10362*q**3\/7 - 16788*q**2\/7 - 2847*q + 8136\/7 = 0 for q.\nAnswer: -113, -1, 1\/3, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/210)\/((-191)\/955)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132289.95 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/280*7)\/((-2)\/(-10)). Let u be p\/6 + (-836)\/(-12). What is the highest common divisor of u and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 960 = 3*r - 405, r = -3*d + 455. Let w be -5*14\/r - 18771998\/13. Round w to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4334 - -4340. Solve -u*r = -0*r - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + 28*d + 12. Suppose 11*r + 2*r = 78. Suppose 12*k - r*k - 84 = 0. What is the tens digit of g(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjzbzbjjzibbjjzzzjb. What is prob of picking 2 b and 2 z?\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*v - 5*v - 21, 3*v = -3*h - 3. Put -4, 1, v in decreasing order.\nAnswer: v, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7167, -14320, -21473, -28626?\nAnswer: -35779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64161, -70577, -76995, -83415?\n\"Answer: -t**2 - 6413*t - 57747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12) + (-26)\/156?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*f**2*t**2 + 271*f**2*t + 2*f**2 - 371*f*t**2 + 4*f*t + f - 2*t**2 wrt f.\nAnswer: -24*t**2 + 542*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 10*l + 1. Let r be c(5). Suppose -2*p = 2*w - r, 2*p = 3*w - 0*w - 49. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78467828 divided by -1.\nAnswer: 78467828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4 - 15882*h**3 - 13274442*h**2 + 148857941538*h + 302862345538788 = 0 for h.\nAnswer: -3669, 3066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5870 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -33b54b (base 12) to base 15\nAnswer: -11572b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6095999191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) -200 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36, 54, 82, 126, 192, 286, 414?\n\"Answer: c**3 - c**2 + 14*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -18. Let r(q) = 5*q - 10. Let d(s) = 6*s - 11. Let l = -6 + 2. Let a(y) = l*r(y) + 3*d(y). Calculate a(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 4:17 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80.5492 + -0.1508. Let a = 4.3 - t. Let y = -85.43 + a. What is y rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81300 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**(-4))*b\/(b*b\/b**(1\/6)*b)*b*b\/(b\/(((b\/b**4)\/b)\/b))*b**(1\/5)*(b\/(b*b**2)*b*b**(-2\/3)\/b*b)**(-1\/4) assuming b is positive.\nAnswer: b**(-553\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -23. Suppose -8*o = 5*o + 130. Let w be 11\/(-35) - 6\/o. Which is the nearest to w? (a) j (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2827, 11266, 25309, 44956, 70207?\nAnswer: 101062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*x = 21 + 2, x = h - 3. Let z(w) = -w + 1. Suppose -g - 4 = -5. Let a be (g - 2) + (-22)\/22. Let j(q) = -q. Give a*j(y) + h*z(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -474 + 5?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 - 28436830606?\nAnswer: -28436830607.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 26, -4, -35 in descending order.\nAnswer: 26, 9, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9705, -19484, -29379, -39426, -49661, -60120, -70839, -81854?\n\"Answer: -6*l**3 - 22*l**2 - 9671*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3784*m**3 + 928 - 2943 + 932 + 1083.\nAnswer: -3784*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**3\/4 + 844881*s**2\/2 - 59484902904*s - 118971495576 = 0.\nAnswer: -2, 281628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14238 and 3796461.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - d**2 - 4. Let u be 4 + 2 + 18\/(-6). Let i be c(u). Solve 0 = -2*t + 2*y - 6*y + i, -2*t + 11 = 3*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94.9999952 - 95. What is y rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -190 in -2\/9, 17\/5, -3, 3\/4, 4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 858 and 24?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 612236 - 1?\nAnswer: 612235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 676, 680, 684?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 101?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(6)\/sqrt(3) - (sqrt(242)*1 + sqrt(2) + sqrt(2)))**2 + (-2*(sqrt(288) - (sqrt(288) + -1 + sqrt(288) + sqrt(288))) + -3)**2.\nAnswer: -456*sqrt(2) + 4922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/(sqrt(10) - sqrt(160)))\/(-4*(-2*sqrt(405) + sqrt(405)) - sqrt(405) - sqrt(405)))**2.\nAnswer: 1\/972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a49355 - 10?\nAnswer: 1a49345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/10*(115\/15 - 8)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -293291800*k**4 - 24398*k + 5363.\nAnswer: -3519501600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6*i - 5805 = -3*i, 3879 = 2*h - 5*i. Calculate the common denominator of -99\/10 and (h\/(-80))\/7 + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17f + 11?\nAnswer: -16e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -4172?\nAnswer: -4175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -42. Let o be 0 + 75 - (k - -9). Let p = -35 + o. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(155\/6200)*-1*(-28)\/8.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5918 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 60, 0.02, 0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3 - 118*f + 17.\nAnswer: 6*f**2 - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60931623 a multiple of 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 163626\nAnswer: -13\/163626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42376 = -281*q - 603*q + 76080 for q.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -28, -46, -84, -148, -244, -378, -556?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 + 2283*p\/4 - 571.\nAnswer: (p - 1)*(p + 2284)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 23079*-1441\nAnswer: -33256839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)\/b*b)**(-41))**49 assuming b is positive.\nAnswer: b**6027","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.5512l?\nAnswer: 71551.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -78\/5. What is the smallest value in -2, 0.1, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**4*w**2 + 689*u**3*w**2 - 2*u**3 + u**2*w**2 + u**2*w - 42*w**2 + w wrt u?\nAnswer: -24*u*w**2 + 4134*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 + d**2 - 5*d - 3. Let q be c(3). Let p = 217 + q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -92, 45, 5, -2, -491, -5 in decreasing order.\nAnswer: 45, 5, 1, -2, -5, -92, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 11*o - 12. Calculate a(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*c + 1 = -47, 2*t - 5*c - 32 = 0. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -14*t**2 + 0*t**3 - 7\/8*t**4 + 0*t + 6. Let y(h) = -3*h**2. Determine y(d(p)).\nAnswer: -1323*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -29. Let v be (7 + -5)*(w\/2)\/9. Solve 2*k - v = 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-8)*k*k\/(k\/k**(-3\/7))*(k\/(k**5*k))\/k*k**(6\/7))**27)**(31\/3) assuming k is positive.\nAnswer: k**(-22599\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1037, 1046, 1055, 1064?\n\"Answer: 9*q + 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46012*y - 78150*y - 2677*y.\nAnswer: -126839*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/13)*i)\/i*i**(-1))\/(i*i**(7\/2)*i\/i**(-5\/8)))**(9\/7) assuming i is positive.\nAnswer: i**(-6525\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 645105 and 870?\nAnswer: 1290210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13883 - 19686. Let w = 769 + d. Round w to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1268, 1269, 1270?\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmggkqggqgggfggg. Give prob of sequence mg.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Factor 20*p**3 + 7*p - 32*p**j - 4*p + 9*p - 4*p**4 + 4*p.\nAnswer: -4*p*(p - 2)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0.06, -3\/4, -12\/5 in decreasing order.\nAnswer: 2, 0.06, -3\/4, -12\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9.883971 or -11?\nAnswer: -9.883971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 253*u - 1162. What is a(5)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 14*q**2 - 2*q + 19. Determine a(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 150 = 2*g + 4*n, 0 = -2*g + 3*n - 182. Is -85 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11400021 (base 6) to base 10.\nAnswer: -357709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a second in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5521 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: Let x(c) = -251*c - 747. Calculate x(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 199778?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxxh when four letters picked without replacement from hxxxhuhbhxhub.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 42 = -15*u. Suppose 136 = -23*b + u*b. Let i be (-32)\/b*(-2)\/8. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 - 740 = 31*r. Let a(v) = -9*v - 160. Let s be a(r). Solve 4*u + 0 = -w + s, 4*u = -5*w + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0*f**2 + 2*f**2)*(3*f**3 - f**3 + 6*f**3).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 3*p**2 + 2*p + 2. Let s be r(2). Suppose 5*k - 4*a = 410, -s*k + 189 = -a + 25. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 4:35 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**2*x - 1245*u**2 - 4*u*x + u - 26940*x with respect to u.\nAnswer: -4*u*x - 2490*u - 4*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 72*u**3 - 4*u**2.\nAnswer: -72*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 9*l = -12. Suppose 49 = l*c - 35. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1337 * 2\nAnswer: 2674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 12*a**2 + 43 - 7*a**2 - 2*a as z*a**2 + u*a + k and give k.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 4 = 2*b. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 3, -92 in descending order.\nAnswer: 12, 3, -4, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + b + 9 + 6 = 0, 0 = -2*z - 3*b - 11. Let v be (1\/2)\/(775\/(-390) + z). Is v at most as big as 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/105 - r**5\/42 + r**4\/12 + 2*r**3\/21 + 5*r**2. Find m such that o(m) = 0.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**(1\/60)))\/u*u**(-10\/3)*u**1\/u**(-23) assuming u is positive.\nAnswer: u**(1121\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 53*c**2\/6 + 63137843*c\/6 + 595640 = 0.\nAnswer: -1191280, -3\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.19207 rounded to 1 decimal place?\nAnswer: -90.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132792 and 3234?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/6 (b) -2\/25 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 20*k**3\/3 - 1. Let x(f) = 33*f - 1. Let p be x(0). What is the lowest common multiple of 20 and q(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**3*h + 15*f**2*h + 26*h - 1 wrt f?\nAnswer: 15*f**2*h + 30*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 31. Let h(o) be the first derivative of 1\/6*o**3 + t*o + 3 + 1\/4*o**2. Suppose h(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w - 2. Let l(b) = -b**2 + 9*b + 1. Let v be l(8). Let p be ((-6)\/9)\/((3\/v)\/(-1)). Calculate i(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0797021 litres in millilitres?\nAnswer: 79.7021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -5.4. Let m = -0.4348 - -5.435. Let y = m + v. What is y rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 12 = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/15 - 1\/30. Let p = -902 - -904. Let c = 0.9 - 0.5. What is the third biggest value in t, c, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 354 - ((9 - 5) + -7). Suppose -1497 = -5*o - h. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5588014 and 63\/20.\nAnswer: 55880140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 = -6. What is the remainder when 21 + v\/(-1)*-1 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5754617 to the nearest integer?\nAnswer: 2399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 3:57 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 1. Let u(y) = -3*y**2 + 4*y - 22. Let r(i) = -2*n(i) + u(i). What is r(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -300 + 81. Let z = a + 226. Calculate the greatest common divisor of z and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120977062 is divided by 239.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 5*q + 8*q. Let t(r) = -3*r**2. What is m(t(b))?\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9*200\/1326. Let w = k - 2\/117. Which is the closest to 3? (a) 0 (b) -0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/8))\/o**(1\/25) assuming o is positive.\nAnswer: o**(217\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*s - 7 - 23, -5*w = 2*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = -5*v. Let m = -17 + v. Let c be (-5370006)\/3 + m\/(-7). Round c to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-10))\/((-12)\/(-10))*2.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -896*t**4 + 861*t**3 - 7897. What is the third derivative of n(p) wrt p?\nAnswer: -21504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*x - k + 29, 0 = 2*x - k - 31. Let f be 43\/(3\/18*2). Suppose -27 - f = -4*w. What is the remainder when w is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*t**4 - 1101*t**3 - 5675136*t.\nAnswer: -828*t**2 - 6606*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140 + -138. What is the smallest common multiple of ((-2)\/(-4))\/((-1)\/(-32)) and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 9*n + 16. Let q be l(10). Suppose -5*t = -q*t + 2. Solve 0 = 3*x - h + 4 + t, -h = 4*x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/5 - 304*h**4\/5 - 2646*h**3\/5 + 13876*h**2\/5 - 18608*h\/5 + 1536 = 0. What is h?\nAnswer: -12, 1, 2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1003*b - 144 = -1021*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1233 in -0.3, 1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 465194 * -2.\nAnswer: -930388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -518 + 505.48. Round y to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5) + -10 + 0 + 5 + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 1, j: 1, y: 1, p: 1, h: 2}. What is prob of picking 1 h, 1 p, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(48\/(-5))*(324\/(-45))\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 201 + 4*s + 186 - 383. Let q(l) be the first derivative of -5*l**2\/2 - 5*l - 2. Suppose -3*n + n = -8. What is n*z(g) + 3*q(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -24*s + 4370. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 + 17. Let p be 0\/(-1) - (-17 + 0). What is the greatest common divisor of p and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101100001011101 (base 2) to base 7.\nAnswer: -320325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.8614 - -1.1386. Which is the biggest value? (a) y (b) -1 (c) -0.1 (d) -196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -5) + 5 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16725767 to the power of 1\/2, to the nearest integer?\nAnswer: 4090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {g: 2, e: 2, r: 2, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(99)\/sqrt(9)))\/(sqrt(2) + sqrt(18)\/sqrt(9)*1 + sqrt(2)))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 13. Let s be (0 - (1 - 1))*-1. Solve -4*c = -5*u - v, -c - 2*u + s = 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14 - -4) + 5 - -7) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let p(x) = -7*x + 6. Let w(u) = 6*b(u) - p(u). Let v(a) = -2*a**2. Calculate w(v(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(1 - -1 - 1). Let v(m) = -m**3 - 4*m**2 + 27*m - 36. Let p be v(-8). Suppose 3*a + 2*a - 63 = -d*s, 66 = 3*s + p*a. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14)\/((-4)\/14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + (-1 - -1) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 4. Let c(o) = 3*o + 34. Let a be c(-9). What is s(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4464, -4581, -4698, -4815?\nAnswer: -4932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 4. Let l = n + -4. Suppose l = -4*q + 3 + 25. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/173?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/9)*(i*i*i**(1\/9))\/i assuming i is positive.\nAnswer: i**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-4)*(288\/(-56))\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27068 take away -1.8?\nAnswer: -27066.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.58 - 2.4. Let s = v + 4.82. Which is the nearest to 1\/2? (a) 1 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:21 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.6 and -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278 less than 0.1?\nAnswer: -2277.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-4 - -2) + (-3646860)\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t - 2 = -2. Solve 3*o + t*o = -6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + j + 286 + 121, 6*h - 4*j = 806. What is the remainder when h is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:07 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.56, -7, 40?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, t: 3, i: 10}. What is prob of sequence wtwi?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4*h + 2*h)*(-1028*h - 10382*h + 2860*h).\nAnswer: 8550*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -457 (base 10) in base 8?\nAnswer: -711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*c**3 - a**2*c**2 + 2331*a*c**3 - 61*a*c**2 - 1033*a + 19204*c**3 - 16*c**2 + 2*c - 2 wrt c?\nAnswer: -6*a**2 + 13986*a + 115224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from sxyxnxxysysxyx.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/27*-6*(-1)\/(50\/(-10))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlele. Give prob of sequence ll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*f + 7. Calculate the remainder when 12 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1026540 and -137\/418220.\nAnswer: 11291940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1001531679 to the nearest integer?\nAnswer: 31647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = 3*w - 21*u - 79, -28*w + 23 + 19 = 3*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-2 + 9)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**7\/280 - w**6\/15 - 2*w**5\/5 - 3*w**3 + 4. Let u(k) be the third derivative of a(k). Factor u(x).\nAnswer: -3*x*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from qyyqyqy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2615280 (base 10) in base 16?\nAnswer: -27e7f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 - -58. Let a = n - -91.8. What is the third biggest value in 8, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 18 = 7*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**2\/2 - 1. Let a be u(4). Suppose 3 + 18 = 4*m + 5*f, 2*f - 18 = -a*m. Is m greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22391, 23145, 23887, 24611, 25311, 25981, 26615, 27207?\n\"Answer: -t**3 + 761*t + 21631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0*v**7 - 19\/60*v**5 + 0 + 1\/336*v**8 + 0*v**3 + 0*v + 0*v**4 - 16*v**2 + 0*v**6. What is the third derivative of x(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 13 - (-19 + 21) - (32 - 26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2715\/7 - -386. Let j = a - -422\/231. Is 0.1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -55. Let s = t + 53. Which is the closest to -0.3? (a) -0.3 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -78*i**5\/5 + 22*i + 115. Differentiate z(m) with respect to m.\nAnswer: -312*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 a, and 1 j when three letters picked without replacement from akjqx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -25*u**8\/1008 + 4*u**7\/63 + u**6\/36 - 2*u**5\/9 + 5*u**4\/24 - 13*u**2. Determine c so that n(c) = 0.\nAnswer: -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.13 (b) 5 (c) -2.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -468 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10961958 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/460?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -348737 and 0.567.\nAnswer: -197733.879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1930657 micrograms in milligrams?\nAnswer: 0.0001930657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10012*b**2 + 123*b - 3. Is i(1) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1011, 3838, 10375, 22476, 41995, 70786?\n\"Answer: 309*q**3 + q**2 + 661*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8928 and 427428?\nAnswer: 3419424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 44*l - 14. Let u be n(15). Solve 0 = -4*j - u - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t - 10. Suppose 8 = x + 2*m, 76*x - 3*m = 79*x - 6. Sort -2\/13, t, x, -1.\nAnswer: x, t, -1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 2*b = 441. Let c = b + 67. Let m = -3 - -8. Solve 0 = -5*z + 5*q + m, 0*q + 2*q = -c*z - 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*r + 203*r - 7 - 97*r)*(3*r**4 - 6*r**4 + 5*r**4 - 2*r**3 + 2*r**4 + 2*r**3 + (4*r - 4*r - r)*(-2*r**3 + r**3 - r**3) - 2*r**4 + 2*r**3 - 2*r**3).\nAnswer: 244*r**5 - 28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 5*i + 0*i + 4 to d*i + u and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2690)\/4*10\/(3\/(-3)). Let w = 15012 - r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452.18 times -2691?\nAnswer: 1216816.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 - (4 + 0 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (53\/(-106))\/(1\/(-6)). Solve 5 = -4*x - r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 3*t**2 - t + 4. Let s(b) = b**2 - 1. Give 2*r(q) + 6*s(q).\nAnswer: 4*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(40\/3)*n*n**(-44))\/((n\/(n**3\/n))\/n*(n\/(n\/(n\/(n\/(n\/(n**(1\/25)\/n))))*n))\/n) assuming n is positive.\nAnswer: n**(-1997\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 8:09 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 33. Let s be h(21). What is the greatest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**3\/3 + f**2\/2 + f - 27. Let r(y) = -1 + 4*y - 6 - y**2 + 10 - y**2. Give -4*g(n) + r(n).\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*a - 2 = 72*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 728343 divided by -1051.\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*(-1015)\/1624?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*b + 97 + 26, 0 = 3*b - 3*c - 180. Let f(i) = -34*i**2 - 3*i - 4. Let t be f(-1). Let h = b + t. Solve 5*l + 1 - h = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1912.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000734495 to 6 dps.\nAnswer: 0.000734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18250, 18252, 18254?\n\"Answer: 2*b + 18248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -39, -45, -51?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4 + (0 + 8 + 0)*(-32 - 6 - 10))*(5*y + 8*y - 2*y)*(-y - y + y)*(-y - 2 + 2).\nAnswer: -4202*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -9059 and 3.11.\nAnswer: -9055.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 1:31 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9d - 5?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4563217 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -86014017747269 and 0.\nAnswer: -86014017747269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 465191546 to the power of 1\/2, to the nearest integer?\nAnswer: 21568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 29*x**2 + 62*x - 6. Let b be v(31). Let k be ((-45)\/(-150))\/((-12)\/(-10)). Let o = -0.02 + -0.38. What is the closest to 1 in o, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 20.92. Let c = m - -0.4. Let o = 2.32 - c. Is o smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39292 divided by 19.\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + -0.3. Let d = 15.734 + -0.034. Let w = -16 + d. What is the nearest to -1 in w, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -38. Let h(p) be the first derivative of -8*p - b*p - 11*p + 38 - 11*p**3 + 8*p. Differentiate h(s) wrt s.\nAnswer: -66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-10)\/2*(-16)\/40.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*v + o, 3*v - 104 = -0*v - o. Is 14\/v - 76\/(-10) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-3 - 1 - 1)*(-r - r - 3*r).\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/((-15)\/(-18)). Which is the closest to -1? (a) -3 (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-5) - (-33)\/5. Suppose n + 13 = 2*u - c, -3*u = -5*n - 39. Calculate the remainder when u is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**2 + 1 - 73*s**3 - 2*s**2 - 2*s**2 - 11*s**3 to b*s + p*s**3 + q + c*s**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 379287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157284*m*r**3 + 3*m*r**2 + 510*m*r - r**3 - 3*r**2 wrt r?\nAnswer: -943704*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 237.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from pvpop?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1732*j*n**3 + 27*j*n**2 + j*n + 13338*n**3 - 5*n**2 wrt j?\nAnswer: -1732*n**3 + 27*n**2 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuhhuhuhvuuhuuvhu. What is prob of sequence hhuv?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -221878 less than 0.4?\nAnswer: 221878.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/1*(-1 + 0). Let r = c + 0. List the prime factors of 2 - r\/((-9)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) 5\/3 (b) -2 (c) -28 (d) -3 (e) 174\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 27*w - 5. Let y be a(-13). Solve y*s - 13*s = -15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646597831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3097 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 q = 14 - 40. Let m = 29 + q. What is the fourth biggest value in -4, -2, m, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - s)*(-1695 + 4624 + 17402)*(5 + 1 - 5) to the form m*s + g and give m.\nAnswer: -20331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 + (1 - (5 + -9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 139 = 307 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - -8. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2*-4 - sqrt(88))*-5*3)\/((-2*(sqrt(72) + sqrt(72)*-1) - sqrt(72)) + (sqrt(72) - sqrt(72)*-1)*-6).\nAnswer: -45*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2736) - (sqrt(2736) + -1*sqrt(2736)))*5 + sqrt(2736) + 0 + sqrt(2736) + 4 + sqrt(2736) - 6*(-1 + sqrt(2736)*-2 + sqrt(2736))**2).\nAnswer: -16418 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -47*o + 30. Let f(j) = -20*j + 15. What is 3*d(a) - 7*f(a)?\nAnswer: -a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1341, 1368, 1397, 1428, 1461, 1496, 1533?\n\"Answer: s**2 + 24*s + 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:49 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 116816073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 302*g**2 + 8*g + 8. Is m(-1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -475 - -483. Suppose 32*r + d*r = 97160. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441) + (sqrt(441) - (sqrt(441) + -2*sqrt(441)) - sqrt(441)))\/(sqrt(7)*-2*1).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.9063*7.62\nAnswer: 14.526006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -139*l + 142*l - 46, 0 = -2*l + 4*y - 16. Let p(s) = -s**3 + s**2 - 1. Let u(g) = -4*g**3 + 6*g**2 + g + 3. Calculate l*p(t) - u(t).\nAnswer: -2*t**3 - t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2005 + -4245042?\nAnswer: -4243033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighty-seven fifths of a hour?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/14)\/(2\/28). Suppose -3*q = -117 + g. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (0 - -1) + -5. Find the common denominator of -107\/10 and ((-68)\/28)\/(f - -4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/19485198 and 67\/10825110.\nAnswer: 97425990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*z**2 + 3\/2*z**3 - 15 + 51\/2*z.\nAnswer: 3*(z - 5)*(z - 2)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.199 + 3.801. Sort g, 9\/5, 2\/9, -5.\nAnswer: -5, 2\/9, 9\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 10:42 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -12010?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-5 - (-11 + (6 - 5)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.21 (b) -0.2 (c) -0.5 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2)*b\/(b\/(((b*b**(-7))\/b)\/b*b))*b*b*b*b)**42\/((b*b**3)\/(b\/(b\/(b\/b**(-1\/7)))))**(-25) assuming b is positive.\nAnswer: b**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**3 + t**3 - 117*t**4 + 96*t**4 + 2*t**2 + 64 wrt t?\nAnswer: -84*t**3 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -157. Suppose -3*l + 2*r = -55, 5*l + r - 80 = 2*r. What is the highest common factor of s and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36514679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 11.4506.\nAnswer: 2.29012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Let t = k - 5. Let z be (-2)\/4*(t + 0). Solve -4*u + 3 = 4*o - z, -4*u + 5*o + 13 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -6 + (1 - 6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 234020081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332141969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 14 = -1. Let f = o - -17\/6. Let n be 3 + (13\/(-10))\/((-14)\/(-35)). Which is the closest to 7? (a) f (b) n (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 1. Suppose -48*x + 43*x = -130. Let m = x + -41. Let t be 4\/(20\/m) + 1. Determine y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 98856171267\nAnswer: 98856171266.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 10. Let h = l + -2. Put h, -2, 3 in decreasing order.\nAnswer: 3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-12))\/((-2)\/20). Suppose s*c = -3*h + 4, -4*h + 12 = c - 9*h. Let r = 8 - -3. Calculate the remainder when r is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b\/(b*b**(-6\/5)\/b)))\/b*b\/b**(2\/7)*b**(-2\/29)\/b*b**(6\/11))**4 assuming b is positive.\nAnswer: b**(-45072\/11165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0*g + 1\/2*g**3 + 1\/8*g**4 - g**2 + 4 - 1\/160*g**6 - 1\/80*g**5. Solve r(s) = 0 for s.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 16 + -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:23 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 divided by -101.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36185849059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -566, -1061, -1848, -2897, -4178?\nAnswer: -5661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538312474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -432*m + 950.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2)\/w)**(-21)\/(w**(2\/7)\/w*w**(-1))*(w**1\/w)**(-11\/3)*(w\/(w\/((w*w\/(w*w**(-1\/4)*w))\/w*w))*w)\/((w*w\/(w\/w**3))\/w) assuming w is positive.\nAnswer: w**(-1177\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*n + 24 = 5*n, 0 = 2*n - 8. Let s be (f - (-4)\/(-12))*12. Solve -3*o - 7 = -2*j - 19, 0 = -2*o + j + s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 58 - 46 = 0. Let d = 922\/26289 - 4\/207. Let u = d - 391\/635. Which is the closest to 2? (a) u (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 3*a**5\/5 + 11*a**2\/2 - 13. Find the second derivative of u(l) wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**6\/60 + 221*r**3\/6 - 262*r. Let l(f) be the second derivative of u(f). Let b(o) = -13*o. Determine l(b(z)).\nAnswer: 1014*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 57\/(-19) - (-9)\/1. Solve m*v = 11*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddoo when four letters picked without replacement from {o: 4, d: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22791008 and 384?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 1:09 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 538871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(24)\/(sqrt(24)\/sqrt(2)) + (sqrt(200) + -1 + -1 - sqrt(200)).\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.009 * -0.2.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 24 + -17 - (-2 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1833228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v + 0)*(13*v + 4*v - v)*(3 - 1 - 3).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 3*w)*(-3*w**2 + 2*w**2 + 0*w**2)*(0*w**2 + 0*w**2 + w**2 + (w - 2*w - 2*w)*(w - 4*w + 4*w)).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*s - 13*s**2 + 8*s - s**2 + 24*s.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -0*v + 2*v. Let s = 16 + v. Let d = 0 + 0. Solve d = -3*w - 9, -w + 5*w = -5*n - s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 16 = 4*n + 3*j, 18 = 5*n + j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - d = -2*p - 25, 3*d - 5*p = 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.8, -0.5, 2, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0*27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04159 rounded to 3 dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863*v + 994*v + 4061 = 0 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -59. Let i(x) be the third derivative of x**6\/120 + 2*x**5\/15 + x**4\/3 + x**3\/6 - 60*x**2. Give i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:19 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(833)*2)**2 - ((2*sqrt(102) - sqrt(102))\/sqrt(6) + ((0 + sqrt(17))*4)**2).\nAnswer: -3604 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 522960832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 + 135. Let h be (4\/10)\/(9\/135). Let d(r) = -3 - 3*r + 0 + r + h. What is d(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14870928 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**5\/60 + c**4\/3 - c**3\/6 - 186*c**2 + 1. What is z(10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7376021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 25 = 3*p, -72*p + 68*p + 40 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**4\/4 - 8*l**3\/3 - 5*l**2 + 10*l - 56. Let c be z(-6). What is the closest to -1\/14 in -3\/5, c, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1171*g**3*h**2 + 2*g**3*h - g**3 + 692*g**2*h**2 - 2*g**2 + 5*g*h**2 wrt g.\nAnswer: -7026*h**2 + 12*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96\/311 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114431*p**2 + p**3 + 114431*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 4*l - 55, 0 = 79*l - 756 - 34 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(200) + 2*sqrt(200) - (-3 + sqrt(5000))**2*1.\nAnswer: -5005 + 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19954.136 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 10:42 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -10. Let x = 0.6 + -0.1. Suppose 0 = 5*d - g - 8, -2*d + 4*g = -13 - 1. Which is the closest to f? (a) d (b) x (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 0.43. Let y = -2.4 - m. Which is the smallest value? (a) 3\/4 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**2 + 3*h**2 - 3*h**2)*(0*h + 5*h - 3*h + (-2*h + 5 - 5)*(-1 + 0 - 2)) in the form k*h + t*h**2 + b*h**3 + d and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*k - 2*i, -i + 3*i = -k. Suppose 2*f + k = 12. Find the third derivative of 5*y**2 + 24 - 24 + 15*y**f wrt y.\nAnswer: 900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3700 = -27*m + 4265. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -842*6\/12 - -5. Let d = h + 628. What are the prime factors of d?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 616815.\nAnswer: 616815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -c + 2*c, -v + c = -21. Let t = v + -18. Solve -t*j - 5 = 3*x, -16 = -x + 2*j - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(5)*-5)**2 + 5.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**5 + 4 - r**2 + 23*r - 8*r**5 - 24*r + (-5*r + r + 3*r)*(-r**4 + 2*r**4 + 3*r**4).\nAnswer: -7*r**5 - r**2 - r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -60652433.\nAnswer: 18\/60652433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -11*f**3 + 13*f**2 - 9*f - 2. Let m(r) = -5*r**3 + 6*r**2 - 4*r - 1. Let o(d) = 13*m(d) - 6*y(d). Give o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2423*q**4 + 152*q + 2 wrt q?\nAnswer: 29076*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-3)*9\/6 + -2. Suppose a*v - 2816 = -13*v. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/(1\/93). Let j = -59 + z. Suppose -5*w - 20 = 0, 0 = -j*i + 3*w + 157 - 37. What is the highest common factor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 + 14113?\nAnswer: 14041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f - 5. Suppose p - 5*p + 5*d + 31 = 0, -p - 2 = 2*d. Let w(t) = -3*t + 3. Let g(u) = p*w(u) + 3*n(u). Let q(l) = -2*l**2. Give q(g(s)).\nAnswer: -18*s**2 - 36*s - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96248980.\nAnswer: 2, 5, 353, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t**2. Let g(p) = -2*p**2 + 4*p + 4. Let i(u) = -42*u**2 + 2*u + 3*u + 39*u**2 + 5. Let f(d) = -5*g(d) + 4*i(d). Calculate f(m(o)).\nAnswer: -128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13413 + ((-18)\/12)\/(3\/(-4)) - 2?\nAnswer: 3, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/242 and (12\/10*-31 - (-2)\/10)\/1210.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/((-9680)\/165))\/((-15)\/2240*4).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 258*y**3 - 3389602*y**2 - 26276*y.\nAnswer: 2*y*(y - 13138)*(129*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146754 is divided by 8152?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*y = -100, y = -0*s - 2*s + 185. Is s a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g + 0*g + (-3*g + g**2 + 3*g)*(2 - 2 + 1) - 3*g**2 + 4*g**2 - 3*g**2)*(-7 + 7 - 6*g**2).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 38*l + 0 + 116*l to x*l + p and give x.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - -41. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 1392, 4789, 11408, 22323, 38608, 61337, 91584?\nAnswer: 130423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/4 + 5562*z + 10311948.\nAnswer: 3*(z + 3708)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/293 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000508311 rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 4, -2*a + 15*g - 19*g - 10 = -9 - 9 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21669369.\nAnswer: 3, 7223123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: (-3 + 4 - -4)*4\/8*-2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*i - 2043, -5*i + 10*d = -3*i - 2022. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3058663 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*y + 2*y. Let x be 6*16\/(-6)*y. Suppose 0 = 5*m + x - 46. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*q - 9 - 5, -4*h - 4*q + 12 = 0. List the prime factors of (35\/h)\/(10\/20).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.5 - 2.1?\nAnswer: -44.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 19*n**3 + 11 + 9*n**3 + (2*n**3 - 3 + 3)*(-6 + 0 - 4 + 2 + 2 - 3 + (-2 + 6 - 3)*(-2 - 2 + 5)) in the form y*n**2 + i*n**3 + z + u*n and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167032 to the power of 1\/2, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5\/4, 4\/5, -10, -1 in decreasing order.\nAnswer: 3, 4\/5, -1, -5\/4, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52769 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*z = -311*z + 2. What is the smallest common multiple of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)*-1)\/sqrt(5))\/(-6*3*sqrt(18) + sqrt(18)).\nAnswer: 4*sqrt(3)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 2283*h**2 + 2*h - 1. Let z be c(-1). Let v = -100385\/22 - z. Calculate the common denominator of v and 107\/34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 431\/11 (b) 0.4 (c) 2 (d) -0.1 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**3\/2 - 5*p**2\/2 - p. Give o(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/(959\/13426)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380704 divided by 95176.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 0*v)*(4*v**3 - 3*v**3 + v**3)*(v - 2 + 2).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 142*g - 67. Let x be 5 - (12\/6 + -20). Is s(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 6792\/1056 + (-2)\/11.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137.459 - -10?\nAnswer: 1147.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + o**2 + o + 1. Let f be p(0). Let c be -7 + ((-329)\/(-21) - 8). What is the closest to 0 in f, c, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66.09 + 66. What is the second smallest value in -1\/7, -7\/4, o?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 32 = -7*i. Which is smaller: i or 10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 42. What is the nearest to 1 in 1\/3, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2547607 is divided by 120.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 14*m + 59. Let x(k) = -k**2 - k. Let y(h) = 5*h**2 + h - 1. Give m*y(r) - 2*x(r).\nAnswer: -3*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 + 26 - 2*a**4 + 3*a**4 + a**3 + a**4 - 8*a**3 in the form m + w*a + c*a**3 + f*a**2 + r*a**4 and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2947.4 - 2947. Put q, 3\/2, -18.2 in decreasing order.\nAnswer: 3\/2, q, -18.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1) + 17 + (185\/20 - 31)?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 + 20*y - 6 - 2*y**3 - 8*y - 14*y as d + r*y**2 + t*y**3 + x*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/7 + 29*x**2\/7 + 316*x\/7 - 740\/7.\nAnswer: -(x - 37)*(x - 2)*(x + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -5. Let n be 30\/(-3)*-4*5\/8. Suppose n = 5*c - 5*a, 3*c + 10*a = 7*a + 9. Solve -5*y + r = -c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (581 + 1)*((-60)\/9 + 7) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5116749.\nAnswer: 3, 11, 47, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3328 and 727.5.\nAnswer: 2421120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 220 + -4?\nAnswer: 21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**2 + 90*t + 207. Let b(u) = 8*u**2 + 86*u + 206. Let x(m) = 5*b(m) - 6*r(m). Determine w so that x(w) = 0.\nAnswer: -53, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**7\/210 - o**6\/40 + 25*o**4\/8 - o**2. What is the second derivative of i(n) wrt n?\nAnswer: 12*n**2 - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -2596?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4573, -8893, -13213, -17533?\n\"Answer: -4320*v - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1766\/7, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 87 - -439917?\nAnswer: 440004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 130 = r. Suppose -r = -2*g + 70. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j - 4*j)*(-1 - 1 - 1)*(-7*j + j + 0*j) + 0*j**2 + 2*j**2 - j**2.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023*w + 11986*w + 4498*w.\nAnswer: 17507*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*2*sqrt(833) + -3)**2 - (4*(sqrt(136)*-2 + sqrt(136)) - sqrt(136))\/(sqrt(24)\/(sqrt(12)\/sqrt(4))).\nAnswer: -667*sqrt(17) + 119968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -480820, -480829, -480838, -480847, -480856?\nAnswer: -480865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z**2. Let a(w) = 3*w. What is k(a(m))?\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986892*j + 987174*j + 10572 - 420 = 0 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/125 and 11\/155500.\nAnswer: 155500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9642, -9645, -9652, -9663, -9678, -9697?\nAnswer: -9720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -106*i - 1. Calculate f(1).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6377*d + 18*d = -31795 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/10 greater than -0.51974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-26) - (-756)\/(-182). Find the common denominator of ((-2)\/30)\/((-4)\/(-302)) and (4\/8)\/(z\/19) + -4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -89*s + 89*s + 3*s**2. Let m(h) = -4149 + 20*h**2 + 4149. Determine r(m(t)).\nAnswer: 1200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1024302611 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/11736 and 7\/44.\nAnswer: 129096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40695 is divided by 7937?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10)\/(h**(5\/8)\/h*h))\/(h**16\/(h\/(h\/((h*h**21*h)\/h*h*h)))))**(-20) assuming h is positive.\nAnswer: h**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5 = 5*b, 2*r - 41 = -51. Let p(f) be the second derivative of -9*f + 0 - 1\/2*f**2 - 1\/6*f**b. Calculate p(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 41\/163?\nAnswer: 41\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -448 divided by -112\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 333388.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 85, 74, 67, 64, 65?\n\"Answer: 2*o**2 - 17*o + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62154 is divided by 1726.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54274 < 34618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7574129?\nAnswer: 17, 445537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d - 2*d)*(458*d - 712*d + 486*d + 37 + 6).\nAnswer: -232*d**3 - 43*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -4\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a. Let x(m) = m**2 + 2*m. Let u(j) = 5*j**2 + 9*j. Let f(l) = -2*u(l) + 9*x(l). Give f(c(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6*d + 3*q + 48, q - 1 = 0. Let n(z) = 29*z**2 - 2191*z - 189. Let k be n(76). Calculate the greatest common divisor of d and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, u: 1, m: 1, h: 1, t: 6}. Give prob of picking 1 m and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/180 - l**4\/9 + 8*l**3\/9 - 8*l**2. Find m, given that p(m) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**3 + 4*w**2 + 3*w - 18. Is 3 a factor of v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 962*q**3\/3 + 3059*q**2\/2 + q - 43. Differentiate h(n) wrt n.\nAnswer: 1924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*k**5 + 114*k**4 - 492*k**3\/7 + 72*k**2\/7.\nAnswer: 3*k**2*(k + 6)*(7*k - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 802 = -1772. What is the greatest common factor of v and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 9*o - 8. Let r = -3 - -10. Let m be s(r). Suppose m = b + b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + ((sqrt(171) + 1*sqrt(171) + -2)**2*3 - ((4 + sqrt(171) + -1)**2 - (4 + (sqrt(171) - (-1*sqrt(171))**2))))).\nAnswer: -87*sqrt(19) + 1715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 - 257910*t + 5543130675 = 0. What is t?\nAnswer: 42985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q*(q**(-2\/9)\/q)\/q)*((q*q**(-8)\/q)\/q)\/q*q*(q**1\/q)\/((q**0\/q)\/q*q*q) assuming q is positive.\nAnswer: q**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 2*d**2 - 17*d + 10. Let o be x(5). Suppose 3*y + 2*v - 46 = o, -7*v - 46 = -4*y - 2*v. Suppose y*q - 63 + 7 = 0. Solve 15 = q*i - i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 7*o**2 + 13*o - 1. What are the prime factors of z(8)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -955*k + 264. What is the ten thousands digit of g(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1074*3.\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*i + 120, -4*i - 432 = -20*h + 25*h. Let c(q) = -92*q**2 + 1. Let l be c(1). Which is bigger: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10170 and 12600?\nAnswer: 1423800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 6*s**2 - 5*s - 6. Suppose -15 - 21 = -3*x. Suppose -x = 5*j + 18. Let q be j\/(-4) + 85\/(-10). Determine t(q).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*s - 385 - 230 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/7419798 and 11\/2473266?\nAnswer: 7419798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28026 + 28213. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3367.3 + 3367. What is the nearest to 0 in n, 0, 43, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8020692 millilitres in litres?\nAnswer: 0.0008020692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, a: 5}. What is prob of sequence aaa?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-8 - -15) + -3 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (0 + sqrt(48)))*-3 + ((sqrt(24)\/sqrt(2))\/sqrt(4))**2 + (1 + sqrt(27))**2.\nAnswer: 15*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let m = -131 - -125. Let n(u) = -8*u**2 + 3*u - 6. Let p(v) = 7*v**2 - 4*v + 5. Let y(o) = m*p(o) - 5*n(o). Determine b(y(j)).\nAnswer: 4*j**2 - 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/111 and 41\/111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -0.05, -183?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(16\/6))\/((-75)\/(-1400)*-161)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 347 and 346 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*u**2 - u - 246*u**2 + 255*u**2.\nAnswer: 213*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1327 - 14?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -64082*q**5\/19 + 6206646*q**4\/19 + 966620*q**3\/19 - 324940*q**2 - 47502*q - 32786\/19 = 0.\nAnswer: -1, -13\/179, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - 9*w. What is the least common multiple of b(-2) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 5*d**2 - 8*d - 8. Let r = 73 + -79. Let q be f(r). Solve 2*y = q*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 + 68*t**2\/9 - 418*t\/9 - 2888\/9.\nAnswer: -2*(t - 19)**2*(t + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7582*127.39.\nAnswer: -965870.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500\/400*588\/(-63)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1229*k**3 + 64*k - 64*k + 9 + 1227*k**3.\nAnswer: -2*k**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 136013936 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 86*u - 9*u**3 + 1 + 6*u**2 + 53*u + 16*u**3.\nAnswer: 7*u**3 + 6*u**2 - 33*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:14 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3005?\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 71.4. Let s = -20.2 - -27. Let i = z + s. Round i to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155 + -14143010?\nAnswer: -14142522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -1b03885b?\nAnswer: 1b038861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -164660 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -186489 >= -186489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -71*o**7\/210 - o**5\/60 - 70*o**3\/3 - 27*o**2 + 3. Find the third derivative of u(b) wrt b.\nAnswer: -1704*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -580, -4254, -14236, -33682, -65748, -113590, -180364, -269226?\n\"Answer: -526*q**3 + 2*q**2 + 2*q - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 512194301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*c**3 - 2*c**2 - 39*c**3 - 47*c**3 - 2*c**4 + 2*c as q*c**2 + x*c + h + p*c**3 + t*c**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 5830 = 5950 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*t**3 + 24*t**3 + 30*t**3 + 30*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034177754 to 5 decimal places.\nAnswer: -0.03418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/2309 and -101\/62832.\nAnswer: 145079088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147.361 - 147. Let a = 19.061 - h. Let d = a - -98.5. Round d to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.18371 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -3\/2*b**2 + 3 + 3*b. Let n(k) = k - 1. Suppose -1 = -2*c + 3*o, -5*c + 45 = o - 0*o. Give c*n(q) + 3*h(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 1\/3*n**3 - 1\/2*n**2 + 0 + 6*n. Differentiate w(d) with respect to d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -s + 11. Let p be (1\/(-2))\/((-2)\/s). Find the third derivative of 3*d**2 + 0 + 0 + 0*d**6 + d**p wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5244+-360400\nAnswer: -365644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1357414225 and 4?\nAnswer: 1357414229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 10*j**2 + 43*j - 37. Let s(t) = -t**2 - 17*t - 35. Let v be s(-3). What is the units digit of x(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 q when four letters picked without replacement from qllqllqlllllll.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -95045*o. Let y(t) = 3*t + 15. Give q(y(m)).\nAnswer: -285135*m - 1425675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e + -11d82b?\nAnswer: -11d7fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 + 206*b + 375. Calculate i(51).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*c + 58, 5*j - j = 3*c + 40. Let w = c - -13. Let z = w + 4. Is z > -4\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 + 0.2. Let p = 0.29 - 0.19. Let f = -60004\/5 - -12001. What is the closest to 3 in p, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o - 9*o**2 + 8*o**2 - 3*o - o**3 - 8*o. Let c(b) = b**3 - 4*b**2 - 4*b. What is c(y) - 4*p(y)?\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -525 + 525.535. Let y = 3 - 3.035. Let t = g + y. Put t, 5\/2, 0.2 in descending order.\nAnswer: 5\/2, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*c**4 + 65340*c + 397\/4*c**3 + 4389*c**2 + 21296.\nAnswer: (c + 44)**3*(3*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15980526?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423546197 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -80820 divided by -180\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 28*z - 21*z. Let r be 4 + -4 - z\/(-21). Let w = -0.37 + -0.03. Which is the closest to 0.1? (a) w (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - -2)*(-51)\/6. Let x = t + 151\/3. Let s = -2 + 0. Which is bigger: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 14*v + 7. Let b be o(4). What is the highest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3269378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 2*v - 15. Let m = 1 - -1. What is the least common multiple of m and y(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11489617?\nAnswer: 131, 229, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -14*k. Let y(z) = -11*z**2. Determine l(y(m)).\nAnswer: 154*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 51. Let u be x(-23). Find the third derivative of -u*a**2 + 1683*a**5 - 1920*a**5 - 38*a**2 wrt a.\nAnswer: -14220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmx when three letters picked without replacement from ssmtxzx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + (281200\/3 - (-109)\/(-327))?\nAnswer: 19, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 137?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8081 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 69888384589538?\nAnswer: 69888384589537.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -10. Let g(w) be the second derivative of 0 - 1\/6*w**3 + 3*w**2 + 1\/2*w**4 + 1\/20*w**5 + 22*w. Calculate g(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1836 - 1835. Let y(l) = 5*l**2 + 6*l + 1. Let f(a) = -a - 2*a**2 + 0*a + a**2. Give w*y(p) + 6*f(p).\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387535 is divided by 21340.\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -6*h**4 + 224*h**3 - 74*h**2 = 0.\nAnswer: 0, 1\/3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-70))\/((-10)\/(-7)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2 + 232179064*k + 3369194859994756 = 0?\nAnswer: -29022383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-3 + -6)) + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 13. Suppose 0 = -4*l - k + 37, -t*l + 39 = k - 8. Let s(z) = -z**3 + 11*z**2 - 6*z + 12. Does 13 divide s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a**3 + 1 + 24*a**3 + 12*a**2 - 15*a - 6*a**3 - 3*a**3 - 6*a**3. Calculate h(-13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3922*p - 3919*p = 51, 2*v + 2*p = -26 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + -1 + sqrt(19) + 4 + sqrt(1900)*1 + 1))**2.\nAnswer: 110*sqrt(19) + 2324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16356859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -467*k*r**3*t**3 - 2*k*r**3*t**2 - k*r**2*t**2 - 2*k*t**2 + 2*r**3*t + t**3 wrt t?\nAnswer: -2802*k*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 99*m + 110*m - 4 as q*m + j and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*k + 64 = 4*k, 3*k = -2*a + 19. Calculate the remainder when a is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 + 1069\/8. Let o = 20770 - 20773. Which is the biggest value? (a) 4 (b) p (c) o (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2)\/((-4)\/16*-28)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3008082666 - 0.042?\nAnswer: 3008082665.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1104 by 368.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.492 - 1.508. What is the nearest to 0.2 in 5, a, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 789, 668, -445, -2544, -5623, -9676?\n\"Answer: o**3 - 502*o**2 + 1378*o - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9a0d + -a?\nAnswer: -9a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*z - 310*z - 15 + 15.\nAnswer: -612*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24125 divided by 25.\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 7:18 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2\/7 + 664*i\/7 - 5652\/7 = 0.\nAnswer: 9, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 - 14) - -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - sqrt(192)*1)\/(sqrt(28)\/(sqrt(7)*-1) - sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 7*b - 7. Let s be l(5). Let j be (-11)\/(s\/288) + -1. Let c = 240 - j. What are the prime factors of c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54775\/(-7840) - (-1 + -6). Let i = j + 439\/672. Let 0 - w - i*w**2 + 1\/3*w**3 = 0. Calculate w.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*j**2 + 139*j - 281*j + 142*j.\nAnswer: 138*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 378081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -6. Let o(u) = -4*u + 4. Let q be o(t). Suppose -j = 4*i - 10 - 32, i = -j + q. Calculate the remainder when 27 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/60 - (-8)\/16?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13542 + 1150145?\nAnswer: 1133303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 120248388?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40474\/30 + (-2 - (-168)\/90) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8837461676 - 1.38?\nAnswer: -8837461677.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-175 - -79 - -99) + -58 + 0?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**3*m*y - g**3*m - 66*g**3*y - 8506*g**3 - g**2*m*y + 1734*g**2*y + 121*g*m - g*y - 3*g + 2*m*y - 1 wrt g.\nAnswer: 18*m*y - 6*m - 396*y - 51036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 7 + (3 - 3 - 3)*(-1 - 1 + 3)*(-3 + 2 + 2))*(-1 + 4 - 1)*(y + 0 + 0).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 2*h - 16. Calculate the least common multiple of 6 and z(7).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 7:03 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/2 - 47*v**3\/2 - 1869*v**2.\nAnswer: v**2*(v - 89)*(v + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-four fifths of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 + -0.8. What is the third smallest value in 5, 0.7, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -163, -371, -663, -1039, -1499?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 9 + 7 - b to u*b + c and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 360 - 360.2. Let f = 31.3 + -13.7. Let l = f + -18. Which is the closest to -1? (a) o (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 336036.9 + -336093.66388. Let j = g - -67.5649. Let i = j - 10.8. Round i to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 2332\nAnswer: 5\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-36)*6*(-8)\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -152712700 rounded to the nearest 100000?\nAnswer: -152700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 17.9. Let p = 1738.08 - 1738. Sort t, p, 1\/2 in increasing order.\nAnswer: t, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:12 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2. Let s(r) = r. Let z(w) = 2*w - 5. Let f be z(4). Suppose -f*c = c - y - 4, -4*c + 3*y = -4. What is c*b(o) + s(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23695277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - 15*b**2 - 150 + 79 as d*b + q*b**2 + z and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3180 = -5*j - 8*f, 3*f - 12 = 0. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 430, 869, 1308, 1747?\n\"Answer: 439*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2312 + -846. Let o = 2543 - q. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 4*l**3 + 29*l**3)*(-67 + 72*l + 67).\nAnswer: 1872*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*3)\/(-29 + 59 - 31)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 80*n - 56*n - 1 + 77, 60 = -5*n + 10*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33064007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2 - 6*k - 13. Let n(v) = 4*v**2 - 3*v - 6. Let p be 2\/8 + (-115)\/(-20). Let r(m) = p*c(m) - 13*n(m). Find b such that r(b) = 0.\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f + 4. Suppose 46 = -74*v + 786. What is the least common multiple of v and k(-3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.4 + -0.6. What is the second biggest value in 0.2, 3, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118624 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2479307.\nAnswer: -12396535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-207)\/36 - 2\/(-8). Let v(q) = 15*q - 5. What is the tens digit of v(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 438 = h, 0*h = 3*h - 4*z - 1334. Let v = h - 445. Let g(q) = q**2 + 2. Let d be g(-2). Put d, 4, v, 0 in increasing order.\nAnswer: 0, 4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 11*p + 3. Let w be (-2)\/6 + 248\/24. Let n be t(w). Solve y - 16 = 3*m, 3*m + n = -2*y - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1009208.035 to the nearest one hundred.\nAnswer: 1009200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-2 + -4)**2.\nAnswer: 128*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(51)\/(sqrt(3)*-3) - (1 + (sqrt(425))**2)*-6.\nAnswer: sqrt(17) + 2556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002395 to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2666090579 to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-245))\/((4002\/1380)\/((-2)\/4) - -6)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -28*w - 5. Let r be q(-4). Let n = 31 + r. What is the highest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 19*g**3 - 110*g**2 + 181*g - 1204. Calculate r(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 divided by 5?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -56?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c8 (base 15) in base 16?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**4 - 6*r**2 + 14. Suppose 0*n + 140 = -5*n. Let y(v) = -1. Let i(q) = n*y(q) - 2*w(q). Find the third derivative of i(c) wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*1\/22 - 102\/44. What is the nearest to 0 in 0.3, o, 39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(304) + sqrt(19)*6*-1)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11400 by 19.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -1, 37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -932.18 - -932. Is -11\/2 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(78) - sqrt(78))*4)\/(1*sqrt(150)).\nAnswer: -8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -8. Suppose 30*o**3 - 16*o**5 - 14*o**5 + 33*o**5 - g + 99*o**3 + 168*o - 33*o**4 - 219*o**2 = 0. What is o?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 27\/320?\nAnswer: 27\/320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 31417*p**2 + 246741263*p - 246772681.\nAnswer: (p - 1)*(p + 15709)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309091087?\nAnswer: 41, 61, 83, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*v - v + 11, -v - 2*a = -2. Calculate the lowest common multiple of (-12)\/(-54) - (-52)\/9 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.8935l in millilitres?\nAnswer: 21893.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1305598122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1984 and 10890176.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**2)*s*s**(-4))\/(s\/s**4*s*s**(-1)) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Suppose 138 = i*t + 3*d, -5*t - 3*d = 155 - 500. Suppose -4*k + t = -11. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -0.39 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/21)\/(-12 + 89182\/301)*5\/(-2)?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(sqrt(132) + (sqrt(132)*2 - sqrt(132))))\/((sqrt(144) - (sqrt(144) + 1*sqrt(144) + sqrt(144)))\/sqrt(12)) + 3.\nAnswer: -8*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 5:36 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -20*m**2 + 3*m - 11. Let w(u) = 58*u**2 - 10*u + 36. Let h(f) = 3*w(f) + 10*y(f). Let i(z) = 14*z**2. Calculate h(i(j)).\nAnswer: -5096*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppzvzpvv. Give prob of sequence vpv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w + 95. Let y be d(13). Let l be 88\/(-84) - 7\/(98\/y). Which is the closest to -1\/2? (a) l (b) 0.3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -23, 0, -19.\nAnswer: -23, -19, -3, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 11468388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*t + 5963*t**4 + 37*t + 2846*t**2 - 613*t**4 - 78*t wrt t?\nAnswer: 128400*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -6)\/((-68)\/(-186643)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*p - c - 4, -4*p = 5*c + 33 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-2184)\/(-420))\/((-17)\/20).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 46*l**2 + 61*l - 92. Is 22 a factor of n(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.6, 5, 20, 0.005 in descending order.\nAnswer: 20, 5, 0.6, 0.005, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*o + 1. What is the closest to -1 in o, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)*(((a*a*a**18*a*a*a)\/a)\/a)\/a)\/(a**(-11\/5)*a**9*a) assuming a is positive.\nAnswer: a**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1872))*-3 + sqrt(1872) + 0 + sqrt(1872) + sqrt(1872) + 1)**2 + -1*(sqrt(130)*-1*-5 - sqrt(130))\/sqrt(10)*-6.\nAnswer: 1 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 + 34869?\nAnswer: 34916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1112020222?\nAnswer: -1112020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -185? (a) 0 (b) -156 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m = -45*m + 9. What is the highest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/1521 - -138371\/12168. Calculate the common denominator of -113\/20 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1817, 2515, 3213, 3911?\n\"Answer: 698*j + 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47409 divided by -27?\nAnswer: -15803\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-63)\/(-28) + (-6)\/(-8). Let o(j) = -3*j**2 + j + 4. Let v be o(0). Solve 23 = v*t + z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + 2*z**2 + z**2 + (-1 - 1 + 0)*(2*z**2 - z**2 - 15*z**2).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -247 * 4.\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 5*q**2 - 8*q**2 + 121.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/2, 0.62, 1.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 45 = -4*v - 42, -15 = 2*v + 3*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dci when three letters picked without replacement from {d: 1, i: 3, h: 4, c: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002997 rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3014110320 (base 5) in base 6?\nAnswer: -332403311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2285*d - 4873*d + 844644 for d.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 900067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 88771 divided by 1\nAnswer: 88771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -79. What is the remainder when c is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.6 + 9.6. Let t = -2.07 - -1.77. Put -0.5, 16, t, p in decreasing order.\nAnswer: 16, p, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Let k be w*(1 - -2)*1. Let t = k - 3. What is the smallest common multiple of t and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 + 2*a + 1. Let u(s) be the second derivative of -13*s**4\/12 + 3*s**3\/2 + 5*s**2\/2 + 9*s. Calculate -9*g(c) + 2*u(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7347*v - 1687. Is a(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**3 - 9772*z**2 + 3*z + 9468 wrt z.\nAnswer: 6*z - 19544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -i - 2, -5*a - 18 + 202 = -92*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1631*o = -1632*o + 2*w - 7, 2*o + 2*w = 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k - 2*k + g, g + 10 = 5*k. Let u(t) be the first derivative of -1\/4*t**4 - 2 + 0*t**k + 1\/2*t**2 + 0*t. Find the second derivative of u(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97014959 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 7 = -n. Suppose -2*w + y + n = 0, -2*w + w + 4*y = -7. Does 2 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903002051.\nAnswer: 7, 3121, 41333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103558 + 90443 = 3385*u - 47198 - 80376 for u.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 837 (b) -2\/15 (c) 60 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 4*c - 11412 = 0. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 4561*u\/4.\nAnswer: -u*(u - 4561)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 10*v + 8*v - 149891. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -9. Let w(x) = x + 2. Let k be w(z). What is the biggest value in k, 3\/4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3695, -8, 1\/7, -1\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 981.0389 meters?\nAnswer: 0.9810389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m + 3*y, -m + 5*y + 1 = -8. Let v be (-7998)\/((-2)\/(-1)) + m. Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 5*u + 1. Let m be p(5). Let d be (4268\/(-297))\/((-794)\/12). Let w = d + 2\/397. Is w < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**4*q - 3*i**3*q**2 - 2*i**3*q + 6*i**2*q**2 - 3*i*q**2 - 3*q**2 wrt i?\nAnswer: 168*i*q - 18*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(242) - sqrt(242)) + sqrt(2) - 1*sqrt(6)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -5*n**2 - 351. Suppose 2*m = -u - 5, 9 = -3*u - 0*m - 4*m. What is s(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-3 - (1 + (-2 - 2)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q = 34*q - 276 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (853*l + 0 - 1655*l + 1135*l + 2)*(51*l - 13*l**2 - 51*l).\nAnswer: -4329*l**3 - 26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**3\/3 - 3*h**2 - 2*h - 17603. Let u = 2 + -6. Calculate t(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(b**3 - 6*b**3 + 4*b**3) + 33 - 21*b**3 - 33.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.87 + -0.03. Let l = -2 - d. Let i = -2 - -1.5. Sort i, -0.7, l in ascending order.\nAnswer: -0.7, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 735636*k + 2206890.\nAnswer: 2*(k - 367815)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:12 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*r - 5*k - 184, -r - 4*k + 70 = 0. What is the remainder when r is divided by (27 - -20 - 36) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7751?\nAnswer: 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/54 and 113\/756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -70, -87, 49, 4, 1 in descending order.\nAnswer: 49, 4, 1, -1, -70, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - u - 235. Let m = 64 + -20. Let w = 57 - m. What is the remainder when w is divided by z(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -22*j**2 - 2*j + 6. What is f(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1274 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 108*h - 3 + 1403*h + 3*h.\nAnswer: 1298*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*s - 30. Suppose -12 = l - 0*l. Let z = 18 + l. What is the remainder when s is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**2)**(-18)*z**25\/(z**(-13)*z*z) assuming z is positive.\nAnswer: z**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*43.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222 divided by -5?\nAnswer: 1222\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 2*t - 1. Let f be z(2). Solve 5*a - 2*a = -f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 377 + 139. Let o = 90 + w. Let t = o - -39. Calculate the remainder when 126 is divided by t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, -0.7, -3\/5, 0, -5, -14, -394?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -834244 or -834246?\nAnswer: -834246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(5\/3)\/v)*v\/v**(1\/9))\/(((v**(-27\/4)*v)\/v)\/v**(-1\/4)) assuming v is positive.\nAnswer: v**(139\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4101804 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 136*z + 707. Let q be h(-5). Let y = -5.954 + 6. Which is the second smallest value? (a) y (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + h = -3*h + 18, 2*h - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-18))\/(2\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*o**4*w**2 + 830*o**2*w**2 + 2*o*w**2 - 115*o*w + 12*o - 2 wrt o.\nAnswer: -780*o**2*w**2 + 1660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + p - 16. Let m be (4 - 4) + p\/(-2). Solve 0 + 4\/5*n**m + 0*n - 14\/5*n**3 + 2*n**4 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41261 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -2*t**6\/15 + 254*t**5\/5 - 84*t**4 - 508*t**3\/3 + 506*t**2 + 3*t + 79. Solve p(k) = 0 for k.\nAnswer: -1, 1, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - 1. Let b(j) = 10*j - j**2 - 38*j + 1 + 3*j**2 + 0*j**2 + j**3 + 19*j. Let s(v) = b(v) + 2*r(v). Give s(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*-3*24\/(-9). Calculate the highest common divisor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7311 take away 0.01?\nAnswer: -7311.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 919776?\nAnswer: 4598880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 43, 95, 187, 331, 539?\n\"Answer: 2*t**3 + 2*t**2 + 4*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9652607?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -3)\/2 + 25\/10. Solve -o*f - 7*t + 10 = -2*t, 0 = 5*f - 5*t + 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 8*y - 12. Suppose 0 = -3*p + 5*k + 283, p = -3*p + y*k + 359. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5792, 23155, 52094, 92609, 144700, 208367?\nAnswer: 283610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 527\/31 - (-2 - -3). Let y(u) = u**2 + 2*u. Let c be y(-4). Calculate the greatest common factor of c and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 176. Suppose -3*m = -2*w + 291, -42*w + 3*m - 1119 = -50*w. Calculate the remainder when w is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 83*z**2\/3 - 1580*z\/3 + 1664\/3.\nAnswer: -(z - 1)*(z + 32)*(z + 52)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -2*m, -m + 3*x + 6 = -2*x. Calculate the common denominator of -48\/143 and m\/(-624)*508 - 2.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 + 23 = 0. Let s = i + -8. Sort 1, 0.4, s.\nAnswer: s, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-35) - 1\/(-7). Let k be (2 + (-1 - 1))\/(-1). Solve -f + k + 1 = s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10386004 and -10386004 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29.02977 minutes?\nAnswer: 1741786200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 2042630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27840 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 8 (c) -6 (d) 5\/3 (e) -0.09 (f) 20 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(99)*-1*-3)\/(1*(sqrt(27)\/sqrt(3) - sqrt(9)) + 5*sqrt(36)).\nAnswer: -18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 16, -2*j = 3*j - 4*w - 26. Suppose -4 = -j*s - 2*s. What is the nearest to s in -1\/6, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/44 and -99\/98?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-45)*(-210)\/7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 + 3 + (-1 - -17) + (37 + -14 - 23).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11281 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let o = -357 + 233. Let u = o - -864\/7. Which is the nearest to r? (a) -2\/15 (b) u (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 525.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 + 2. Let i(j) = 4*j**2 + 3. Let g(u) = -2*i(u) + 3*z(u). Let l(r) = -1 + 20*r + 1 - 18*r. Give g(l(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 17 = -6. What is the remainder when 30 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3677 and -5678.1.\nAnswer: -2001.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460607 is divided by 1547?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24041 = -r + 4*r - 5*c, 4*r - c + 32049 = 0. Let b = 1490 + r. Let p = b - -316522. Round p to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 - 1) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*w - 308 + 308)*(1 + 5 - 4) to the form v*w + y and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1359 and 12984641?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.96 - 0.04. Let s = 9277\/1124 - 33\/4. Let h = s - 284\/843. Which is the third smallest value? (a) h (b) l (c) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 47 = -p + 37, -3*q + 52 = -p. Suppose 16*x - q*x = -2. Sort 19, x, -3, -1.\nAnswer: -3, -1, x, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-90) + 589\/(-465) + (-8 - -4))*5\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**2 + 93*l - 5. Determine a(-10).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -16. Let a(p) = p**3 + 7*p**2 + 4*p + 5. What is the remainder when a(-6) is divided by 316\/44 + (-4)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4087 = 74*y + 1051 + 116 for y.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + v - 5, -4*h - 113 + 145 = -3*h + 10*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2329 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40.066 + 0.066. Let z = 53 - s. Let n = z + -78. Is 1\/5 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) -0.181 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100111001 (base 2) to base 9.\nAnswer: 3842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 533 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 35056845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -18, 16, 124, 342, 706, 1252, 2016?\nAnswer: 3034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (4 + -5)) + -82 + 76?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - o - 24*s + 25*s - 12, -35*s + 1 = -3*o + 92 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290368?\nAnswer: 2, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.106+2.8\nAnswer: 1.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*d**3 - 569*d**3 - d + 280*d**3.\nAnswer: -11*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77379.66 litres in millilitres?\nAnswer: 77379660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 1298?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8155 a factor of 1600186147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 30. What is c(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 1 + 2*y - 1 - 2. Let c be x(-6). Solve -2*g - 2*d + 12 - c = 0, -3*g + d = 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s - 26 + 587 + 405 = 0. Let y = 17 + -9. What is the least common multiple of y and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j - 4. Let y = -4 - j. What is the remainder when (-266)\/y + (-8)\/40 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -80, -49, 4, 79?\n\"Answer: 11*x**2 - 2*x - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 12, u: 3}. Give prob of sequence uuuo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyjyjyyyyyyyyjyyy. What is prob of picking 3 j?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 34*o - 149. Let c be n(4). Let i(m) = -51*m + 21. Let f(y) = 25*y - 11. Let d(w) = -9*f(w) - 4*i(w). Let x(k) = 10*k - 7. Calculate c*x(u) - 6*d(u).\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 96a (base 15) to base 8\nAnswer: 4115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-9) - (-3)\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1442 + 3?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z + z)*(-3*z + 3*z - 8*z)*(-8*z + 21*z - z).\nAnswer: -288*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-6)\/(-336) - 2193\/1032.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 2, a: 1, i: 2, h: 1}. Give prob of picking 1 r and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 55 = -15*f + 6*f. Let v(w) be the second derivative of -1\/18*w**4 - 1\/18*w**3 + 2\/5*w**f + 0 + 0*w**2 + 12*w. Find l, given that v(l) = 0.\nAnswer: -1\/6, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21436 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8952)\/172 - ((-846022)\/6407 - -132)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from hqhhrhrlqqhprrrrqrhr?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 1. Let d(x) = 58*x**2 + 10*x - 10. Suppose -146*b + 99*b - 270*b = 3170. Calculate b*s(y) + d(y).\nAnswer: 58*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*u + 201*u - 8466 = -57*u - 106*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(432))*1.\nAnswer: -1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2738, -10952, -24642, -43808, -68450, -98568, -134162?\nAnswer: -175232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 8*d**2 + d - 1. Calculate the lowest common multiple of h(8) and -6 + 8 + 9 + -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79140444.\nAnswer: 2, 3, 6595037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 390\/(-2912)*42\/(-1365)*-26?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/75*(-10)\/1. Let t(w) be the first derivative of 3*w**2 + 6*w - 2. Let s(o) = -5*o - 5. Give m*s(q) + 3*t(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a hour in seconds?\nAnswer: 47700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.790321429 rounded to four decimal places?\nAnswer: -0.7903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 15\/2, -97, 0.3, 3 in increasing order.\nAnswer: -97, -1\/10, 0.3, 3, 15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**2 - 43*g**2 - 15*g**2 + 0*g**2.\nAnswer: -71*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -54317 equal to -54329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 16*q + 4*q)*(5 + 1 - 3) to m*q + h and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22101 (base 5) in base 9?\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -454*s**2 + 11338*s + 297. Determine j(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.01592345 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(2736) + sqrt(2736) + sqrt(2736))**2.\nAnswer: 24623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 90 = -3*w + 7*w, w = 4*u - 120. Let z = 36 - u. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 87, 142, 199?\n\"Answer: m**2 + 50*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) - sqrt(170)*-2))*-2 + sqrt(170) + (sqrt(170)*-4 + sqrt(170))*3)\/((sqrt(110)*2*-2)\/(sqrt(11) + sqrt(110)\/(sqrt(10)*-2))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372\/(-10)*14\/28 + ((-416)\/65 - -5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706360022 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1002018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/84 + 10\/35.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + -7009071.\nAnswer: -7009097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5110446 + 3014260.4889554. Let s = -3014264.899983 + m. Let f = -3.9 - s. Round f to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-51)\/26 + 2)*-4. Let l = 1.2238 + -16.2238. Which is the nearest to 0.1? (a) -3 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24 + 27*a**2 + 2*a - 52 + 38 + 2*a**2 wrt a?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in 2\/9, 3\/8, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z. Let d(u) = 23631*u. Give o(d(c)).\nAnswer: -118155*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 210 - 2 = 0. Let m = a + -45. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-6)\/f*f)*f**(1\/2))\/(f**4\/(f\/(f*f**(-5))*f)) assuming f is positive.\nAnswer: f**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b9 (base 12) in base 7?\nAnswer: -1446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43951 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -d1997 (base 15) in base 8?\nAnswer: -2420163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7877 = 33*f + 7283. Let o(y) = -y**2 - 6*y + 5. Let g be o(-6). Suppose -l = g*l - f. Solve 0*j - l*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17060400 a multiple of 4062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 39 times 6466\nAnswer: 252174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) -38 (c) -2 (d) 7 (e) -4\/7 (f) 94\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + 2) - (-16 - -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 22 = w, 44*w - 41*w = -5*z - 14. Solve -11 - w = -13*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(7) + 1 - sqrt(28)\/sqrt(16))*-3)**2 - (-2*sqrt(7) + 1 + ((sqrt(210)\/sqrt(5))\/sqrt(6))**2).\nAnswer: 38*sqrt(7) + 607\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2232 = -30*w - 6*w. Suppose -17 = a - 122. Let x = a + w. What is the greatest common factor of x and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z**2 + z + 4. Let s be x(0). Suppose 0 = s*b - 2*b - 64. Calculate the remainder when b is divided by (12 + -3 + (1 - 29))\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/25)\/(12\/(-10))*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/14 + (-12)\/28. Let k(w) = 6*w**2 - 3*w + 2. What is the tens digit of k(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/3)\/(2\/126)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 4*h - 8, 15 = -o - 5*h - 3. What is the tens digit of o - (-12)\/(-5) - (-131901)\/165?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**3\/3 - 5*m**2 + 33*m - 29. Let l be z(-12). Solve l*j = 3*j - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)\/m)\/m)\/m*m**10*m**(-15)*m\/(m\/((m*(m*m**(-16)\/m*m)\/m*m)\/m*m)*m*m) assuming m is positive.\nAnswer: m**(-122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25433 divided by -2182.\nAnswer: -25433\/2182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57497656.\nAnswer: 2, 7187207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 4*k. Let z be l(6). Suppose 5*m - z = 4*m. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**6\/960 + i**5\/32 - 21*i**4\/64 + 49*i**3\/48 + 3*i**2 + 21. Find w, given that m(w) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2151, 8727, 19649, 34887, 54411, 78191, 106197?\nAnswer: 138399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 12440 = 2*y - 12482, -5*w + 3*y - 13 = 0. Let o = 0.03 - 3.03. Which is the biggest value? (a) w (b) 2\/5 (c) 0.5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/(-28))\/((-5)\/350) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - l - 63 - 5*l**2 + 0*l)*(43 - 96 + 50).\nAnswer: 15*l**2 + 3*l + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 + 11*i + 10. Let r(a) = 5*a**2 + 10*a + 9. Let b(c) = 5*r(c) - 4*z(c). Determine b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -7\/11, 0.3, 8 in increasing order.\nAnswer: -7\/11, 0.3, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 163876 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 339463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -42*t**3 - 142*t**2 + 53*t + 891. Let j be l(81). Round j to the nearest 100000.\nAnswer: -23200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 19*j**2 - 2*j - 18. Let a be m(-19). Suppose -a = -5*d, p + 3*p = 4*d + 556. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 38. Solve 0*t - 4*t = 4*c + 12, 3*t - 2*c + 14 = i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtrtzzrtzrtirrzrit. Give prob of sequence rttr.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 606*p**3 - 300*p**3 - 2*p + 11*p**2 - 4 - 304*p**3 as g + h*p + i*p**2 + r*p**3 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i - 6 + 6*i - 7*i. Let k(w) = -2*w + 28. Let q be k(13). Let j(z) = q*z - 7 - 12 + 20. Give 2*d(t) + 11*j(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 21*f**2 + 5*f. Let l(o) = 21*o**2 + 6*o. Determine -5*k(u) + 4*l(u).\nAnswer: -21*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b**2 + b - 6. Let q(f) = 31*f**2 - 3*f + 20. Let y(u) = -11*o(u) - 3*q(u). Determine y(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**6\/120 + y**5\/10 - 7*y**4\/24 - y**3\/2 - 7*y**2\/2 - 4*y. Let a(f) be the first derivative of j(f). Give a(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-5*(-4)\/(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*a + 45. Suppose 2*t = 2*m - 6*m + 112, 2*m - 5*t - 80 = 0. Suppose -o = -m + 1. What is the remainder when o is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-1)\/(-2 - 0). Let w(h) = -6*h + 6. Let l(n) = -n - 1. Let b(m) = 6*l(m) + w(m). What is the tens digit of b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1849 + -961. Suppose -5*p = 5*k - 1797 - 458, -v = -2*p + 5*k. Suppose 2*j - p = j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {t: 2, q: 1, n: 1, s: 1, p: 1, o: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -22*2\/(-36) - 2\/9. Let w(k) be the first derivative of -4*k + 3\/2*k**2 + 1\/3*k**3 + l. Determine w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**5\/240 + o**4\/48 - 11*o**2. Factor l(r).\nAnswer: -r*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1558)\/(-133) + 39\/(-3)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 8. Let x be -2 + 196\/(-8)*-4. What is the greatest common divisor of p and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 8120540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5*t = 0, 4*h - 4*t + t = 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -134293, -268587, -402881, -537175, -671469, -805763?\n\"Answer: -134294*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613992.\nAnswer: 2, 3, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 151302 to the power of 1\/2, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 - 14*u + 5. Calculate j(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233979548 a multiple of 7444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4 = x, 0 = -8*x + 10*x - 2*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -283 + 283. Let g be (-2)\/2*-5 - (-29 + 31). Solve d + 18 = 3*d + g*s, y = 3*d - 5*s + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*j + 46, 2*o + 4*j = o + 54. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*n - 39411, -23*n = -a - 20*n + 39406. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/20*(-4)\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60953 or -60951?\nAnswer: -60953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40646802688 + -5.\nAnswer: 40646802683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*h = 5*x + 65*h, 4*h = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 - 3*u + 13. Give r(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8) + (-6)\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (0 - 1) + -7 + 0 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -19*a + 1399. Let f(l) = 41*l - 2797. Give 6*f(b) + 13*m(b).\nAnswer: -b + 1405","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/28935 and -17\/1349325?\nAnswer: 867615975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(5\/13)\/(p*(p**(-2\/9)*p)\/p*p)**(-10\/7))\/((p**0)**(-30)*(p*p**(-1)*p)**38) assuming p is positive.\nAnswer: p**(-2234\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 16. Let m = -5 - n. What is the units digit of (m + 54\/4)*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 4*t + 3. Let n be m(3). Let s(j) = j**3 + j**2 + j + 6. Let l be s(0). Let x = 6 - l. Solve -4*z + n*z = x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 - -10 - (25 + 30 + -63)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*21752412.\nAnswer: -217524.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.34 - -2.66. What is the smallest value in 5, h, -5, -4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2468602.5 months?\nAnswer: 205716.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.98 + -0.02. Let p = -0.0193 - 0.1807. Sort 4\/3, p, a in decreasing order.\nAnswer: 4\/3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 2229864*x**2 + 1243075594485*x + 2486142269522.\nAnswer: (x + 2)*(x + 1114931)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -1\/60*r**6 - 1\/40*r**5 - 4*r + 1\/8*r**4 + 1\/12*r**3 + 0 - 1\/2*r**2. Let h(w) = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10477*v**3 + 1599 wrt v.\nAnswer: -31431*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -11d8?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 162*a**3 - 6*a**2 + 5*a + 1. Calculate y(1).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 1855?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16830)\/594)\/(2\/(-6)) is divided by 2*(-93)\/(-18)*3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1261440*z + 1931315 wrt z?\nAnswer: -1261440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:46 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 4 - 11 + 7.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10980\/(-110) - (-2)\/(-11). Let u = w - -104. Suppose -1509 = -u*v - 5*q, -4*q = -23 + 3. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3650)\/(-3500) - 2\/(-20)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/25 - -1)*(-30)\/4. Solve -j + 4 = t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -17069268.\nAnswer: 3413853.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54640634 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1030116 divided by 343372.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 2*f + 12 = 7*i, 5 = -5*i - 5*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2154*o**5 + o**4 + 619*o wrt o?\nAnswer: -43080*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19855867931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.845?\nAnswer: 0.2535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus -94440487496?\nAnswer: 94440487503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in micrometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/5 - 662*g**3\/5 + 31692*g**2 - 15978888*g\/5 + 552982464\/5 = 0. What is g?\nAnswer: 74, 186, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1216.17 + -1209. Let h = g + 1.53. Let t = h - 8.5. What is the third smallest value in -0.5, t, 2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 3960?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -93, -109, 45, 453, 1199, 2367, 4041, 6305?\n\"Answer: 14*w**3 + w**2 - 117*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2302.6\nAnswer: 2302.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -67, -81, -97?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2002212122?\nAnswer: 2002212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.382 and 24854040564?\nAnswer: 24854040570.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2 (c) -4\/5 (d) 167\/4 (e) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - -106. Let o = 1198\/9 - t. Suppose 3*s + 4 = 1. Is o >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 4, s: 11, w: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.13 + -34. Let r = h + -0.03. What is the closest to 0.1 in 0.4, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2159 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 9*d - 4 = -4*v, -5*v + 3*d = -3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + 42 + -102 - (2 - -2 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 3*p**2 - 4*p - 4. Let n be w(-2). Solve 3*g - g + 2 = n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6748b8 (base 14) to base 2.\nAnswer: 1101011000100101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*6\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*l = 4, -3*n = -4*l + 1 - 6. Let u = n - 3. Suppose -5*o = -5*w - 55, -w + 16 = -u*o + 2*o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**3 - 1670 + 1670 - 11*t**3.\nAnswer: -33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2. Let c(u) = -u**3 + 5*u**2 - 3*u + 4. Let o be c(5). Let n = 19 + o. Let y(k) = n*k**2 - 3*k**2 - 3*k**2. What is w(y(m))?\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -599, -9156, -32231, -77036, -150783, -260684, -413951?\nAnswer: -617796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -15*l + 7. Let z be v(-8). Suppose -4*r = -85 - z. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1 + 0*u + 10*u + 3*u. Suppose -3 = 2*w + 1, -2*t - 5*w + 2 = 0. Is h(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52.4 + -49.8. Let g = v - 2.8. Let r = 2.42 + 0.48. Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f**2*p + 4287129*f**2 - 36307*f*p + 321*p wrt f.\nAnswer: 18*p + 8574258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31898 and 756983?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*q = 2*p - 751, -4*p - 3*q - 1024 = 0. Let b = -126 - p. Suppose 4*y = 5*s - 0*s + b, 3*y = -s + 81. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f - 4. Let y(c) = 11*c - 11. Let k(o) = -3*y(o) + 8*z(o). Let g(u) = 2*u - 2. Give 4*g(p) + 9*k(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 7 = f. Suppose f*m + 19 = -5*u, -5*u = 5*m + 7 + 18. Let j(a) = 2*a**2 - a**2 + 7*a + 0*a**2. Determine j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5.5. Let j = 1.5 + -2. Let v = 5 - 6. Which is the third biggest value? (a) t (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*w - 1035 = -63*w. Which is smaller: -208 or w?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 193\/3. Which is the nearest to r? (a) -1\/7 (b) -0.4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-27))\/(1\/(-3)). Let q(u) = -u**2 - u + 1. Let c(s) = 2*s**3 - 2*s**2 - s + 1. Let a be 1\/3 + 5\/3. Give a*q(t) + n*c(t).\nAnswer: -2*t**3 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-95)\/76)\/((-625)\/(-20))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (1 + sqrt(252))**2) + 1.\nAnswer: -252 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 - 22. Calculate the remainder when p is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97589940601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 20 = -4*p, -5*p = -2*r - 101 + 216 - 103 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**2\/11 - 327648*h\/11 - 4473050496\/11.\nAnswer: -6*(h + 27304)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -979, -2, -125, 2, 3 in decreasing order.\nAnswer: 3, 2, -2, -125, -979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 34*w**2 - 88*w + 1850. What is h(35)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 657163988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*-5*6\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 + r**4 - 8 - 2*r**2 + r**3 + 15*r + 16*r - 30*r to the form k*r**4 + f*r**3 + b*r + s + p*r**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -171, -167, -161, -153?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 5*h**7\/42 + 7*h**4\/24 + 26*h**2. What is the second derivative of g(j) wrt j?\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n - 5. Determine s(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8892\/81 + 10710\/(-1377).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2207 is divided by 2203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 287, 365, 433, 491, 539?\n\"Answer: -5*m**2 + 93*m + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -9 - 45356\/(-68) a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 75 (c) 152 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**4 + 28*q**3\/3 - 68*q**2 - 160*q + 141. Factor a(u).\nAnswer: 4*(u - 4)*(u + 1)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19\/6 + -5\/3. Suppose 4*l = 3*k + 23, -2*k + 7*k - 5 = -2*l. Factor -3\/2*i - 1\/2 + g*i**4 + i**3 - i**2 + 1\/2*i**l.\nAnswer: (i - 1)*(i + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/2 - 2)*2. Suppose w*g - 57 = 48. What is the greatest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*r = -177*r - 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 416241\/196900 + -3\/8950. Let y = 217293\/44 + -4941. Calculate the common denominator of l and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 10 = m - 3, -3*m - 14 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -21292.786 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-84)\/(-35) - (-2)\/(-5). Let k = 7 - c. Solve -2*t + k = y, -13 = -5*y - 3*t - t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.09 (b) -0.08 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 - 4*f**2 - 4*f + 6. Let j(q) = 4*q**3 + 5*q**2 + 5*q - 7. Suppose 0*s + 14 = -2*s - 4*x, -3*x - 23 = 4*s. Give s*t(b) - 4*j(b).\nAnswer: -b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 8*p = -3*s + 12, s - 17 = -4*p. Suppose -3*n = s*c - 2310, 5*c + n + 913 = 7*c. What is the remainder when c is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 6*l - 3. Let h be 2 + -2 + 3 + -10. Let c be n(h). Solve -b = c*x + b - 10, 0 = -2*x + 3*b - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59.2 - 32.1. Let w = d + -27.10000242. What is w rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:01 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -109*j - 28*j - 5*j**3 - 10*j**2 + 237*j - 120.\nAnswer: -5*(j - 2)**2*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-14) - 92\/(-28). Suppose 0*p = -3*p - 2*i + 238, 4*p + i = 309. Suppose r*d + 4*k - 145 - p = 0, 0 = -k + 5. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 3 + 2*u**2 - 2*u**3 - 4*u**2 + u as s + o*u + p*u**3 + i*u**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668912 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - -6) - (1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69658.64 nanograms in tonnes?\nAnswer: 0.00000000006965864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 2*p**4 - 4*p + 2*p**2 + 3*p - p - 69 + 67 to a*p**3 + m*p + g*p**4 + i*p**2 + o and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**2 - 19*v**2 - 1311*v - 49*v**2 + 436*v + 437*v + 438*v.\nAnswer: -53*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 785752 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148158 is divided by 382421.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143086 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/((-1)\/(-2)). Let j(a) = 4*a. Let w be j(n). Is (2\/w)\/(4\/(-152)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-57))\/(158\/(-31047)) - (-7)\/(-1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4 - 109160*x**3 + 2957943952*x**2 + 1147951011840*x + 110590967218176 = 0.\nAnswer: -192, 54772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + -1012?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1087.1 + -1087.102701. What is r rounded to 4 dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -9.18.\nAnswer: -9.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 - 20*p - 7. Suppose 21 = 3*j - 9. What is the remainder when r(7) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1067, -1057, -1027, -965, -859, -697, -467?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 8, -8, -2, -3, -107 in ascending order.\nAnswer: -107, -8, -3, -2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-438)\/1533)\/(1\/2) + (-100)\/70.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927 (base 11) in base 14?\nAnswer: 59c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 493782861 and 21.\nAnswer: 3456480027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58411*-1.1.\nAnswer: 64252.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98.57938 * 0.2.\nAnswer: -19.715876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77017?\nAnswer: 77017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69599381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*144\/(-32)*1*(-3)\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 - 112 = 0. Let v be ((n\/(-9))\/5)\/((-2)\/(-3)). Let u be (2\/4)\/((1\/4)\/v). Solve u = -5*b + 4*k - 0*k, 0 = -3*b + 2*k - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14068475299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 + 127. Let r be ((-4)\/6)\/2*-15. Let i(f) = f + 1 - 1 - r*f**3. What is i(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 210?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7106 - 3555 + 1164*i**4 - 3551 - 349*i wrt i?\nAnswer: 13968*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -878 (base 15) to base 5\nAnswer: -30123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(511\/(-8176))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {i: 5, y: 2, p: 8}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.1 (b) -0.4 (c) 0.2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*s + 10 - 85, 0 = -2*v - s - 45. Which is smaller: v or -170\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 10 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1000 or -1001?\nAnswer: -1000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 + -292.5. Let o = q - -55. Let c(w) = -w**3 - 6*w**2 - w - 8. Let f be c(-6). Sort o, f, -3\/5.\nAnswer: f, -3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41152 and 905344.\nAnswer: 905344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 668856 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105249638 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, 152, 2, -5, 5, 78 in ascending order.\nAnswer: -16, -5, 0, 2, 5, 78, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-1\/2)*z\/(z*(z**(3\/7)\/z*z)\/z))\/((z*z\/(z*z*z**(-8)\/z)*z)\/z*z**8\/z))**(-2\/19))**(2\/25) assuming z is positive.\nAnswer: z**(78\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(-5 + 3 + ((-4*(sqrt(475) + 2 + sqrt(475)))**2 - ((sqrt(475)*2)**2 + 0))).\nAnswer: 3200*sqrt(19) + 142815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14)*((-168)\/20)\/((-544)\/(-680))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - (-12 + 0 + -1 + 5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -0*o - 4*a - 19, 2*o + 5*a = -23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -1 - (390 + -349)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-188))\/((3585\/11950)\/((-4)\/5))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780074.\nAnswer: 2, 3, 98893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 131 + 79. Suppose -3*k - 5*m = -2316, 2*m = -8 + x. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -3. Let m be (-4)\/o + 5\/(175\/185). Find the third derivative of -3*w**2 - 16*w**4 - m*w**4 + 5*w**2 wrt w.\nAnswer: -504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21090923 to the nearest 10000.\nAnswer: -21090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 562635?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6752953 is divided by 958.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 8. Let i be j(6). Suppose -i*z + 39 = -117. Let k = z + 16. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11509732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = z - 9. Let q be (z\/49)\/(-2*1). Is -1 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2783?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79496 - k**2 + 120*k + 1513*k**5 + 158999 - 79501 wrt k.\nAnswer: 90780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(1300) + sqrt(1300) + -4*sqrt(1300)*2)**2*-3 + 0 + (sqrt(13) - sqrt(39)\/sqrt(3)) + -2*sqrt(13)*1 + ((0 + sqrt(13) + 1)*-6)**2.\nAnswer: -139908 - 650*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + -13 + -55 + 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9) - 26*4\/24. Is -936*12\/(-8) - z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -86?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15365 (base 11) to base 2.\nAnswer: -101010011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h = 12. Suppose 0 = -5*y - 2*n + 9, -h*y = -n - 15. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 6, q: 2, m: 1}. Give prob of sequence om.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x = -63*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (-4970)\/(-525))\/(2\/6 + 0)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*r - 55 = -190*r. Let o(q) = -q**2 + 15*q - 28. Let h be o(r). Solve 4*p - 8*p + h = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(72) + sqrt(72) + (-5*(sqrt(72) + -4) - sqrt(72)) + sqrt(72))*2)**2 + (-1 + -5*sqrt(72) + 3)**2.\nAnswer: -3000*sqrt(2) + 5995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y + 8. Determine t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-27)\/(j**(34\/5)\/j)*j**(11\/6)*j**38*j assuming j is positive.\nAnswer: j**(241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 11*h = -6525. Suppose -3*j + 2*j + 2*r = -h, 3*j + 4*r - 635 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g*g\/(g*((g**(4\/11)\/g)\/g)\/g)*g)\/g)*g)\/g*g**2*g*g*g**13\/g*g**(4\/5))**(6\/11) assuming g is positive.\nAnswer: g**(4344\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 716814559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v + 288. Suppose 0*r + k = -4*r + 27, -3*k = -r + 23. What is the highest common factor of r and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - sqrt(75)\/sqrt(3))*1 + sqrt(25) + -4*(sqrt(25) + 1*sqrt(25) + sqrt(25)))\/(-6*(sqrt(250)\/sqrt(5))\/sqrt(10)).\nAnswer: 11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24516222 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38436 is divided by 642?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/1347 - 2618\/25593. Suppose -3*g = -0*g - 12. Suppose 0 = -0*f - 4*f - g. Does f = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*o + 3*o + 19, -37 = -4*i - 3*o. Suppose -i*l - 21 = 28. Let n(g) = -g**2 - 4*g - 3. What is n(l)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - -338794\nAnswer: 338793.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -36*f + 259. Let h be d(7). Let s(x) be the third derivative of -1\/4*x**4 + 1\/120*x**6 + 0*x - 1\/10*x**5 - 4\/3*x**3 + 0 + 4*x**2. Calculate s(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2640605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27375 and 9928?\nAnswer: 3723000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 889 + -348. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.5 - 3.5. Let y = -16602.998 - -16580. Let u = i - y. What is u rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43693 = -110*s + 105*s - 2513. Is s a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11594 - -11371) + (144 - 1).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - 1 - (42 + -18 - (20 - 5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (4 - 5) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 560\/(-240) + 76\/12. Let n(t) = -3*t + 5. Let s(u) = u - 3. Let g(f) = 2*n(f) + 5*s(f). Let m(p) = 3*p + 14. Give a*m(q) + 11*g(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0*c + 13 = -2*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -19\/2. What is the third biggest value in -5, b, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8558\/5 + -1712. Which is the fourth smallest value? (a) -3 (b) o (c) -8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 260 - 510. List the prime factors of (-2)\/(-11) - (-41090)\/c.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 324, 1370, 3142, 5652, 8912, 12934, 17730, 23312?\nAnswer: 29692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvvvvvmovvov. What is prob of sequence omv?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 10:48 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**(2\/21)\/(m**(4\/9)*m*m\/(((m**(-9)\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-908\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 6*j**2 + 7*j - 5. Let g be o(5). Suppose 0*y - y = -g. Suppose -y*k + 13 = -2. Solve 4*p = k*p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/50973 or -0.05?\nAnswer: -2\/50973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.871 - 1.129. Which is the nearest to -1? (a) -35 (b) 1 (c) u (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/3)\/6*-2*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - (-5 - (-35)\/65)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 831438659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -378 + 378. Which is the smallest value? (a) 1\/6 (b) -0.44 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 404859*k - 1905416 wrt k.\nAnswer: 404859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 44.58909ml?\nAnswer: 0.04458909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83\/276 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4612 is divided by 4579.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371592.\nAnswer: 2, 3, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -103 * 1778527\nAnswer: -183188281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f - 2. Determine x(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421 = 5*f + 2*o + 1185, 0 = -3*f - 3*o - 453. Let g = f - -159. Suppose 5*b - 3*b + 2 = 0. Sort 0, b, 3, g in decreasing order.\nAnswer: g, 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -27*k**5 + 6*k**4 - 3. Let t(m) = 26*m**5 - 5*m**4 - 2*m + 2. Let p(a) = 5*d(a) + 6*t(a). Find the second derivative of p(w) wrt w.\nAnswer: 420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46654 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-6 - -1 - -93). What is the greatest common factor of g and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -15. Suppose 0 = 2*r + 15 + k. Let j = -7 - r. Solve 4*h + 15 = -j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 9) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**3\/6 + 27*g**2\/2 - 617*g. Let y(w) = -22*w**2. What is z(y(t))?\nAnswer: 22*t**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 616 + -599. Let l be (-3)\/6 + 70\/4. Is z < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3 - 46480*i**2 + 92980*i = 0. Calculate i.\nAnswer: -9298, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*y + 2385 = 109*y + 113*y for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*f + 4 = 0, 9*a = 4*a - 5*f. Solve -m + 4 + 7 = 3*g, -a*m + 16 = -2*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - a2?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**2*q**4 + 24*n**2*q**2 + 8*n*q**5 + 3*q**2 wrt q?\nAnswer: 48*n**2*q + 480*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.188047669 rounded to 3 decimal places?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*p - 27*p - 51*p.\nAnswer: -313*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -11?\nAnswer: 27\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 10. Let c(s) = -5*s + 5. Let d(p) = 26*p - 24. Let y(j) = -11*c(j) - 2*d(j). What is the units digit of y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}