diff --git "a/data/dm_maths/full_data/1985_11255.jsonl" "b/data/dm_maths/full_data/1985_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1985_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 5\/(-5)*-1*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 52629 = 4*k - 1710, -5*v = -k + 13566. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 9. Let l be s(5). Let v be l*0\/(3 + -6). Solve -x + 0 + 4 = v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5609943 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, -6, -2\/7, 2\/17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1380)\/(-33) - 250\/59125*-43\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -243612 divided by -6767\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233 - 239. Let a be 0\/2*(-2)\/((-12)\/i). Solve r + 5*q - 8 = a, -2*q - 1 = -3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4398 and 22563206?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 16 = x - 0, 28 = 2*l + 4*x. Let t be (l\/24)\/(3\/(-1)). Is t less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 924 and 23562?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-126)\/135)\/(((-32)\/(-12))\/8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 5. Suppose 2*k + 2*p = 10, 2*k - 2*p = 5 + 17. Let c be n(k). Let d(a) = 0 - 4*a - a**3 + 0 + 4*a**2. Determine d(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*4\/(-80))\/(4\/(-40))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**2 + 1243448*d - 1243444 = 0.\nAnswer: 1, 310861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, l: 2}. Give prob of sequence ell.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 76, 57, 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -159480000 rounded to the nearest 1000000?\nAnswer: -159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1769054 less than -1769137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoz when three letters picked without replacement from {o: 1, v: 1, z: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.4019, -1\/21, 0.2, 5, -20?\nAnswer: 0.4019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = -y - 3*g, 0 = -5*g - 20. Suppose y*i + 24 = 18*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 f = 4358 - 4210. Calculate the remainder when 487 is divided by f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 3831 = 15791. 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) -4 (b) -0.4 (c) 23\/8 (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 + -127.00001776. Round q to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + t - 3 - 8, -55 = -5*x + 3*t. Suppose 13*d - 504 = x*d. What is the remainder when d is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007489 to six dps.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*a - 332\/3 + 14\/3*a**2 = 0.\nAnswer: -83, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = 0.013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -1, 1\/117844 in decreasing order.\nAnswer: 1\/117844, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = -u + 13046. What are the prime factors of u?\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*n - 3\/7*n**3 + 3\/7*n**2.\nAnswer: -3*n**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86444587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8224 - -22188. What are the prime factors of f?\nAnswer: 2, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1579 - -2471. Suppose 0*i + k = 4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + ((((1*sqrt(171)*-4 - sqrt(171)) + 4*(sqrt(171) - (sqrt(171) - (0 + sqrt(171) - sqrt(171)))) + sqrt(171) - -1*2*(sqrt(171) + 1)) + 3)*4)**2).\nAnswer: -1920*sqrt(19) + 22698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20*78\/(-1300)*((-25)\/65)\/(18\/(-42))\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from {q: 7, c: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 6. Suppose -d = l*d - 48. Let q = 134 - 87. What is the remainder when q is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u**13*u))\/u**7)\/(u**(2\/55)\/(u*u*u**(-4\/5))) assuming u is positive.\nAnswer: u**(-1091\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-1))\/((-2)\/22). Let l(m) = -2*m**2 - 5*m - 5. Let g be l(-5). Let b = a - g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-129)*((-1776)\/(-37))\/(-1440)*-10?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -47. Let m = w - -10. Solve -5*s + 20 = -m*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7650 divided by 450\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = -3*p, f + 6 = -f. Let o(b) = -b**2 + 59*b + 392. Let j be o(-6). Solve -2 = j*v, -w - p + 3 = 3*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2090070 and 30964.\nAnswer: 4180140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 505 and 8888.\nAnswer: 44440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4477 + -12?\nAnswer: 4465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 12:29 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -f + 2, 6 = 2*d + 4*f - 2. Suppose 0 = -6*h - 51 + 27. Is (h - d)\/2 - -421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 2 - 2 + (-c**3 - c**3 + 5*c**3)*(-3 + 3 + 4*c).\nAnswer: 13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 110 + -148 + 98.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/(6\/(-36)). Suppose 0 = 3*l - 2*l - 2. Suppose -l*r + 1 = -r. Put r, s, 2 in descending order.\nAnswer: 2, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1600) + 2*sqrt(1600)))\/((-6*sqrt(88)*3)\/sqrt(11)))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/92, 0.38, 15 in descending order.\nAnswer: 15, 0.38, -1\/92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 812103883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.014.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 b when three letters picked without replacement from {d: 4, b: 3, g: 1, s: 2, i: 2, t: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:49 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 152 = -2*j + 4*r, -j - 3*r = -76. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (sqrt(88) + sqrt(88) + 3*(-2*sqrt(88) + sqrt(88) - sqrt(88) - sqrt(88)))\/(sqrt(32)\/(sqrt(4) + (sqrt(12)\/sqrt(3) - sqrt(4)))).\nAnswer: -7*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:37 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 28 = 4*l, 0 = -5*l + 7*l - 5*t + 14. Let n = -1 - 4. Put 5, l, n, 2 in increasing order.\nAnswer: l, n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 + (-11196)\/864)\/(5\/40)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*b - 75, -4*b = -5*j - 26 + 138. Suppose 4*a = 36 - j. Is 8 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 251040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.45262ng to milligrams.\nAnswer: 0.00008445262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2312 and 1088?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 101*h**3 - 3*h**2 - h - 23. Let q(r) = -34*r**3 + r**2 + 4. Let p(x) = -3*q(x) - w(x). Suppose 4*d = 5*f - 16, 4*f - d + 2 = 6. Determine p(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 3. Let p be -4 + (-162)\/(-39) - (-2405)\/845. Let i(q) be the third derivative of q**4\/8 + 7*q**3\/6 - 6*q**2. Calculate p*i(w) - 5*m(w).\nAnswer: -w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105109211.\nAnswer: 105109211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*u - u**2 - 34*u + 19*u - 2*u**3 - 1 + 3 to the form l*u**2 + h*u + d + z*u**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5070)\/(-24))\/5 + (-3178)\/(-1816)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/2*(469\/56 + -8). Solve c + a*c = -4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*j**3 - 74*j**3 + 44*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 284*j + 50 + 227 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, g: 7, f: 3, b: 1}. Give prob of picking 1 f, 1 p, and 1 b.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1991556734 to the nearest integer?\nAnswer: 44627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5001023 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 183 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 72 = 3*t, r - 4*t - 14 = -0*t. Suppose 2*i + 3*i = r. Suppose -2*k + i*k - 308 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d*t**2 - 2*d*t - 180*d - 700*t**3 - 128*t**2 + 392*t wrt t?\nAnswer: -14*d - 4200*t - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -15*v + 25*v. Let b(k) = -2*k - 1. Give b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(7\/2730). What is z rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174495 + -0.97?\nAnswer: -174495.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 15*g - 1542. List the prime factors of d(50).\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 - 0) + 4 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.092060732 + -807.25.\nAnswer: -807.157939268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let j(x) = -3*x**2 + x + 5. Let w be (16\/(-6) + 6\/(-18))*-2. Let q(k) = w*d(k) - j(k). List the prime factors of q(-6).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97.06 + -9.84. Let o = 116 + x. Let v = o - 9. Is -3 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5798559696.\nAnswer: 2, 3, 269, 449083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 199739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 2)*(2 - 5 - 6*b + 5)*(-2 - 1 + 1)*(-4 + 2*b**3 + 4) as q*b**2 + n*b + g*b**3 + y*b**4 + o and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + 4 + (-12 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/((-156)\/(-600)*-5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = 2*t - v, -5*t + 2*v - 5 = 0. Which is the nearest to 2? (a) t (b) -3\/7 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.318 + 11.318. Let u = 17.7 + -17. Put 0.1, u, s in increasing order.\nAnswer: 0.1, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 1 + 7. Let k(y) = 3*y**p - 17*y**3 + 5*y - 5*y - 1 - 3*y + 19*y**3. Let d(t) = -4*t**3 - 7*t**2 + 7*t + 2. Calculate -3*d(i) - 7*k(i).\nAnswer: -2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2*s - 6)*(-3*s**2 + 2*s**2 + 2*s**2)*(-2 + 3 - 6).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7853\/4 - -1973. What is the common denominator of 89\/2 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -5) + 3 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.8 and 229254.\nAnswer: 229262.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(16\/(-4))*35*17\/(-238).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176.14 + 51.68. Let w = p + -230. What is w rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + 2 + (sqrt(1700) + 3*sqrt(1700))*6 + 3) + -2)**2.\nAnswer: 7680*sqrt(17) + 3916864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120 - -178. Let l = 329 - x. Suppose -c - 4*c = -1395. Calculate the highest common factor of c and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111 + 214520?\nAnswer: 214405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from stsstsaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 1\/4*k**4 + 2 - 3\/10*k**5 + 0*k**3 + 0*k**2 + 0*k. Let n(x) = 0. What is x?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42346304 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -48. What is the third biggest value in 3\/11, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 55, 112, 185, 274, 379, 500?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (379 - 536 + 369)*(4*v + 5*v - 4*v) to the form o + z*v and give z.\nAnswer: 1060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -740 >= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22890 is divided by 118.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = -10. Suppose g*k - 128 = 2*j, -k - 11 = -j - 36. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z - 7*z**2 + 0*z**3 + 0*z**6 + 0 + 0*z**7 + 0*z**4 - 7\/60*z**5 + 1\/168*z**8. Find the third derivative of v(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(sqrt(204)*2 - sqrt(204))*5*1)\/(4*(sqrt(108)*-1 - sqrt(108)) - -6*(-2*sqrt(108) - sqrt(108))).\nAnswer: -5*sqrt(17)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**6\/240 - 8*g**2. Factor i(x).\nAnswer: -x**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 l when four letters picked without replacement from {z: 2, l: 1, j: 7, s: 4, g: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z + 2*z - 1089*z to the form k + x*z and give x.\nAnswer: -1074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26\/21 + -18\/7. Let k = 4.5 + -4. Let p = k + -0.1. What is the nearest to -3 in n, -1, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - -2)*1\/3. Let m = w - 1. Let y = 1 - 1. Solve -m*k = -y*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 360360*h - 2882813. What is j(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1941748411 and 4201.\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2*w - 8, -3*m - w = -2 - 6. Suppose m*a + 3*a - 12 = 0. Let p be 480\/((-1 + a)\/(-8125)). What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*r - 2*y + 5, -r - 9 = 2*y. Which is the closest to r? (a) -5 (b) -1\/5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(325)*5)**2*3 + 6*((5*sqrt(65)\/sqrt(5))**2 - (0 + sqrt(13) + sqrt(13) + 1)).\nAnswer: -12*sqrt(13) + 99446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:04 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13542 (base 14) to base 12\nAnswer: 2371a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9419*a**2. Let w(p) be the third derivative of -p**4\/24 + 1470*p**2 + p. Calculate b(w(i)).\nAnswer: 9419*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -327 <= 0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. What are the prime factors of 77\/14*(-1 + x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - x + (-3 + 6 - 2)*(2*x + 0*x + 0*x) - 3*x + 2*x - x + (6 + 8 - 13)*(-3*x + x - x) as j*x + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 - 6 = 2*a. Let x = 33 - a. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(80) + (sqrt(80) - (sqrt(80) + 0 - sqrt(80))) + -5 + 4)**2 + 2.\nAnswer: -64*sqrt(5) + 1286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovllclcucuclukkkkc. Give prob of sequence vck.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8746, 8800, 8864, 8944, 9046, 9176, 9340?\n\"Answer: q**3 - q**2 + 50*q + 8696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.66 in 2, 4, -266, -170?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645431.8 rounded to the nearest one thousand?\nAnswer: -1645000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 - 2*i**2 + 0*i**2 - 2*i**2 - i**2 + i**2 + 3*i**2 - i**2 - i**2 + (1 + 1 + 0)*(3 - 3 - 2*i**2) - 370 + 370 - 17*i**2.\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88.37 + -89. Let k = m - 0.37. Let q = 0.2 - 0.1. Which is the smallest value? (a) q (b) k (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5903, -11820, -17749, -23690?\nAnswer: -29643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*g - 5, 5 = -o - 6*g + 2*g. Suppose -3330 = k - o*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5521 - 19507 - 11825 - 14643 - 15952)*(2 - 2 + w) in the form n*w + v and give n.\nAnswer: -56406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136.418 rounded to the nearest 10?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-22))\/((-50)\/(-100))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 110 = -6*q. Calculate the remainder when 43 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529798*t + 529809*t - 1059615*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-996)\/24*1 - (-2 + -2 - 3).\nAnswer: -69\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*c + 22 - 2, -c + 5 = 0. Let g be (1 - (-2)\/2)\/1. Suppose -g*d = -t*d + 6. Put -4, 5, d in increasing order.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23519 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r - 11. Let u(h) be the third derivative of h**4\/12 + h**3\/3 - h**2. Let o(d) = 11*u(d) + 2*z(d). Let t(f) = -f. Determine t(o(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*l + 4*q - 35, q = 4. Let m(v) = 24*v - 10. Let t be m(l). What is the greatest common factor of 93 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42968 and 1976528?\nAnswer: 1976528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 206, 203, 208, 227, 266?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 - 0.2. Let j = d - -4. Let v = j + -6.937. Round v to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u - 14 - 9*u + 5 - u + 8*u. Give c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -638.\nAnswer: -255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 2. Let p = 90 + -101. Determine w(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(-22) assuming y is positive.\nAnswer: y**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 36. Let y be i(0). Let o = 25 - y. Does o = -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 317459171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 18*s**2 - 31*s + 18. Let b be z(-16). What is the third derivative of 0*y**6 + 17 + 4*y**3 + y**2 + y**2 + 3*y**6 + 1 - y**b wrt y?\nAnswer: 360*y**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z - 2*w + 9 = 28*z + 7*z, 0 = -4*w + 48 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4.19*-60\nAnswer: 251.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + w + 2*w - 12, 2*f + 2*w - 4 = 0. Suppose 4*b - 3*r - 12 = 0, -2*r + 4 = -f*r. Suppose 4*t + 3*g - 442 = b, 3*g - 54 = -t + 61. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 25. Suppose -3*j - 15 = -0*j, 0 = -5*x + 5*j + 35. Solve v*q = -x*q + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*l - 650 = 0, 0 = -5*z - 5*l + 1623 + 2. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 322, -4\/5, 1\/4?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9033373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4 - 6. Let c(f) = 2 + 0*f**2 + 5*f - 1 - 4*f + f**2. List the prime factors of c(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/4 + 70517*r - 282069\/4 = 0. What is r?\nAnswer: -282069, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -209, -202, -195, -188, -181?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 133362?\nAnswer: 133360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*b = 18 + 2, -5*b = 20. Suppose 2*p - p = -v*x - 3688, -3688 = 4*x + 4*p. Is (-2)\/9 + x\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and 36.1?\nAnswer: 36.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:02 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 7*d**3\/3 + 3*d**2\/2 + 11. Let s(l) = l. Determine r(n) - 3*s(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2749202002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k + 9 = 0. Let f = 6 - 9. What are the prime factors of (9\/1 - k) + f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -11, 0 in ascending order.\nAnswer: -11, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 5)*(5*p - 4*p - 2*p) + 622 - 198*p - 207*p + 403*p in the form u + r*p and give u.\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(2 + 0 + 0)*(-r**3 + 0*r**3 + 3*r**3).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 - (2 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1691.\nAnswer: 2\/1691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -5159839?\nAnswer: 5159836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -33 (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and -37\/74494 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 5:03 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i = 565. Suppose s + 12 = 5*s, -x + 4*s = -i. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41143 (base 5) in base 12?\nAnswer: -1669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Suppose j = 2*h - 4, h + g*j - 4*j - 1 = 0. Solve 7 - 22 = h*r - 3*s, r = 4*s - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2 + -2)*40\/(-4). Suppose -g*a - 3*h + 10 = -6, 5*a = -h + 12. Let j = -3 - a. Let m(t) = t + 7. Determine m(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + p + 12 = b, -2*b - 3*p + 4 = 0. Solve 5*c - 5 = b*a, 5*a + 10 = -3*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -38*n**2 - 333*n + 244. Calculate i(-10).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y - 12. Let b be -1 + 10 - (8 - 5). Calculate the remainder when l(b) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -2, 50, 2, 1.\nAnswer: -2, 0, 1, 2, 10, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 368*g**2 + 283407*g - 138644256.\nAnswer: 736*g + 283407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 7*d**5\/60 + 3*d**4\/8 - 7*d**2. What is the second derivative of y(r) wrt r?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168680431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 68188, 68191, 68194?\n\"Answer: 3*i + 68185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r + 4*r**4 - 12*r + (r + 12*r**2 - r)*(-3*r**2 - 2*r**2 + 2*r**2) as m*r + l*r**2 + p + q*r**3 + v*r**4 and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 69.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1852396582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/44 + (3 - 45\/20). Solve u = -46*p + 38*p - 56 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(684) + -4)**2 - ((-2 + sqrt(38)\/sqrt(2))**2 + ((sqrt(95) + (sqrt(95) - 1*sqrt(95) - sqrt(95)))\/sqrt(5))**2).\nAnswer: -20*sqrt(19) + 665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(((g\/g**(-1\/4)*g)\/g)\/g)*g\/(g\/(((g\/g**(1\/3))\/g)\/g))*(g\/(g*g**0\/g))**(-5\/8) assuming g is positive.\nAnswer: g**(-29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -373*j**6\/15 + j**5\/10 + 443*j**3\/6 - 5*j + 124. What is the second derivative of y(v) wrt v?\nAnswer: -8952*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 90*i - 110*i + 0 - i**2 - 235*i to the form r*i**2 + p + f*i and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -112, 2, -12, 5, 3 in descending order.\nAnswer: 5, 3, 2, 1, -12, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/6*(72\/32)\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0218 - 0.4.\nAnswer: -1.4218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 11*b**2 + 0*b + 0*b**6 + 0*b**5 - 1\/42*b**7 + 0*b**3 + 0 + 1\/6*b**4. What is the second derivative of k(m) wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*f = 2, -3*r - 5*f = -4*r - 10. Solve 2*a + 6 = j, j + 10 = r*j - a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -50. Let t = 6 + -10. Is t*p*10\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12336\/192 - 33) + -28?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o - 73 = -12*o - 339 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 6878?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(336) - sqrt(21))\/sqrt(7).\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-15)\/(465\/(-248)) - (0 + -2338)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.2, 5, -1, 5\/187 in descending order.\nAnswer: 5, 5\/187, -1, -7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1347 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 545, 547, 549, 551?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -6 - (-7 + (5 - 0 - 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59754520 a multiple of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 546.9 - 547. What is the smallest value in 0.1, h, 19.8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393599807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 105159283?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 109230 divided by 55\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39410*k**2 - 39410*k**2 + 16*k**3.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 y when four letters picked without replacement from yhlh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-9) - (-77714695)\/2385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55903170 rounded to the nearest 10000?\nAnswer: 55900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895 - 2830 - p**2 + 1935 - 7*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0*(i*i**(-1\/3))\/i)**16)**(-28\/5) assuming i is positive.\nAnswer: i**(-896\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162750520 to the nearest integer?\nAnswer: 12757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/2)\/(1 + 0). Suppose 0 = -5*f + 40, -5*f + 15 = 19*u - 24*u. Solve d + 15 = -u*g, 16 = t*d - 3*g + 4*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from cllllllllulwltulllcw.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -40\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 73. Let q(b) = -b**2. What is k(q(z))?\nAnswer: 2*z**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 24, 54, 96, 150, 216, 294?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-23*4\/12)\/(5\/(-645)).\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 5) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/78*((-56)\/35)\/((-214)\/(-535)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -43. Let q be 2\/(-3) + 4\/6. Let w(h) = -h + 9. Calculate the remainder when w(q) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*j - 399 - 87 = 0, -2*v = 3*j - 200. Let k = -85 + v. Which is the closest to 2\/3? (a) 2\/15 (b) -0.4 (c) -3\/7 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3183, 4894, 6615, 8346, 10087, 11838?\n\"Answer: 5*p**2 + 1696*p + 1482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 382042154 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26079375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 6171.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7623.2 - 2663467.\nAnswer: -2655843.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2970.9 + 2971. What is the closest to -14 in u, -0.5, 12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 876 and 95508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 7. Let a(o) = o - 3. Let x(w) = -5*a(w) - 3*n(w). Let r be x(3). Let s(g) = -g - 4. Determine s(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 5*p**2 + 3*p + 2. Let r be (3 + -2)*1*4. Suppose -q - 5*s + 15 + 8 = 0, 5*q - 11 = s. Let w be (6\/q)\/((-2)\/r). Give b(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1665 and 165465?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 34 + 16 = 0. Put 19, o, -2\/15 in descending order.\nAnswer: 19, o, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 3, o: 12, n: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -450.304 from 8.\nAnswer: 458.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.574139 kilograms?\nAnswer: 0.005574139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 23.9. Let u = -23.6 + m. What is the nearest to -1 in -0.2, 2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5808, 11617, 17426?\n\"Answer: 5809*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/44 and 109\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -m + 17, -4*u + 2*m = -0*m + 22. Let h be (-4)\/u + (-4)\/(-3). What is the second derivative of 2 - 2 + 0 - 5*l**h - 2*l wrt l?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g + g)*(13*g + 11*g - 11*g) + (-3 + 3 + g)*(-3 - g**2 + 3).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1010010?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 14. Let i be s(-11). Suppose -4*c - 34 = i*q, 2*c - 31 = 5*c + 5*q. Let b = -1 - c. Which is bigger: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 2*a + a)*(9 - 5 - 8) to n*a + x and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 2\/(-4)*0. Let n(s) = 6*s - 5*s**2 - 6 + 3 - 3*s**3 + 4. Let c(z) = 4*z**3 + 6*z**2 - 7*z. Let j(f) = -2*c(f) - 3*n(f). Calculate j(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220495 divided by 31\nAnswer: 220495\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let p(j) = -213*j**2 + 2*j. Calculate g(p(s)).\nAnswer: 213*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Let s(c) be the second derivative of -c**4\/6 + c**3\/2 - 13*c. Determine s(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 13b7?\nAnswer: -13b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*(-740)\/74?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let c = -1.955 + -0.126. Let z = c + 0.081. Which is smaller: i or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104265, -104267, -104269, -104271?\nAnswer: -104273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*z + 65, z - 34 + 4 = -4*d. Calculate the least common multiple of z and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53, -55, -57?\n\"Answer: -2*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 28*r. What is the second smallest value in r, -3\/10, -4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 15. Suppose -3 = -v + o. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let o(c) = -4*c - 3. Let h(s) = s**2 + 3*s + 2. Let w(g) = 4*h(g) + 3*o(g). Let j(k) be the first derivative of w(k). Calculate x(j(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 280\/12*(-2 + 5). Suppose 2*b + y = 3*l, b + 20 - 106 = -4*l. What is the greatest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 38*s**2. Let g(d) = d + 24. Determine g(o(j)).\nAnswer: 38*j**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p + 6 + 12 = -49*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4*v**2 + 17858*q**3*v**3 - 2*q**2*v**3 - 2490*q**2*v**2 - 4*v**3 wrt q.\nAnswer: -24*q*v**2 + 107148*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*w - 759 = -163*w - 208*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11121 (base 5) to base 9.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - ((21 - 34) + (-6 + -4 - -20))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 256\/5 - 51. Suppose -5*y + 9 = -14*x + 16*x, y - 3*x - 12 = 0. What is the nearest to 32 in y, t, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6) + (sqrt(726) - (sqrt(726) - sqrt(726)*1))) - (sqrt(136)*2*-6)\/sqrt(8).\nAnswer: 145*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + 4*b**2 - 4*b**2 - 2*b**4 - 2 + 2 + (-2*b**3 - b + b)*(3*b - 2*b + 0*b).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -186, 4 in decreasing order.\nAnswer: 4, 1, -4, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4002 + 51085?\nAnswer: 55087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from ttoojowwwzzwwxt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2847 (base 12) to base 10.\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5548 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.8 + -2.5. What is the third smallest value in -0.2, 0.4, b, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 28*v**2 + 51*v - 6. Let d be r(12). Differentiate 9 + 3*j + 4*j**2 - d - 3 - 9 - 84 with respect to j.\nAnswer: 8*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 - 988210064.\nAnswer: -988210354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -14*w + 2*u - 137, 0 = -5*w + 4*u - 691. Is -139 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 3*t**3\/2 + 27*t. Determine p(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -6. Suppose -4*g + 20 = g. Suppose g*n = m*j - 16, 4*n = -2*j + n + 13. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 1}. What is prob of picking 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 + -35. Let u(b) = 28*b**2 + b + 1. Let t be u(2). Suppose 5*c + j = -t. Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*y + 65. Suppose 3*g - 78 = 2*g. Suppose 0*c + 3*c = g. What is the greatest common divisor of c and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-35)\/(-30))*44. Let m(g) = 4*g + 2*g - j + 274. What is the tens digit of m(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 755 + -755. Let t(l) be the second derivative of 0*l**5 + b*l**2 + 0*l**3 + 2*l + 0 + 0*l**4 + 1\/15*l**6. Factor t(n).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-2940)*54*7\/(-2)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 487 - 485. Let q(i) be the first derivative of 0*i + 9\/2*i**o + 12. Let f(k) = -k**2. What is q(f(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -23. Suppose l + 43 = 2*t + 4*l, -2*t - 4*l = -40. Is t\/4 - 1\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029.292 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 25*u**2 - 172*u + 6. Give n(-16).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.59 + -3.69. Let k = -4.9 + a. What is the second biggest value in -1\/5, 1\/2, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9857839 + 9857839 + 8*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 15, -13, -47?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:27 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 498*y + 508*y)*(0*y**3 + 6*y**3 - 3*y**3).\nAnswer: 30*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 331, 337, 347, 361, 379?\n\"Answer: 2*n**2 + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*j - 128*j - 3*j + 8*j + 6272 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -1 (c) 0 (d) -0.2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*m + v - 70, -2*m - 2*v = -68. Let t = m - 19. Solve 4*c + 3*k - 7 = 0, 4*c + 2*k - t = k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2868*q**2*x**3 + 25*q**2*x**2 + 30*x**5 + x**2 - 22*x + 8 wrt x?\nAnswer: 17208*q**2 + 1800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182263 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*z - 133, 3*z - 2*q + 53 + 56 = 0. Let b be z*-2*5\/30. Suppose -12*f + b*f - 39 = 0. What is the remainder when f is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -5, -3 in ascending order.\nAnswer: -72, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 251*i**4 - 2*i**4 - 1469*i**2 + 4 + 373*i**4 + 1469*i**2 as f*i + q*i**3 + s + k*i**2 + o*i**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1415 + -102. Let j = g + -772. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(((9006\/(-152))\/(-79))\/((-6)\/7))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 - 7*x**2 - 2*x + 2. Let l(j) = j**3 - 4*j**2 - 10*j + 27. Let a be l(5). Calculate r(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*j**3 + 60*j**3 - 19 + 19.\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3223532*y**3 - 4074476 wrt y?\nAnswer: 9670596*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 11*l = 12. Suppose 2 = j, -l*n - 4*j = -6*j - 52. 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: Suppose 0 = -5*b + 16 + 49. Suppose b = 2*g - 57. Let x be (((-4221)\/268)\/(1\/(-4)))\/3. Calculate the highest common divisor of x and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*j**5*z + 6*j**5 + j**3*z + 4748*j**2 - 6*j*z wrt j.\nAnswer: -1260*j**2*z + 360*j**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 v when four letters picked without replacement from {t: 1, e: 2, v: 3, k: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y = 6*y - 178 + 1638 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 39. Suppose -2*x = x + 2*y - 84, -4*y = 5*x - 142. Let m = x - t. Solve 0*v + 3*p - 8 = -2*v, -m = -3*v - p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y + 0)*(26*y - 2 + 30*y - 59*y).\nAnswer: 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(425)*-1*4*2*1 + 5 + -5)**2.\nAnswer: 680000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17.554 * -5843\nAnswer: -102568.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33123, 33130, 33139, 33150, 33163?\nAnswer: 33178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -515*a + 510*a - 30 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 211+-0.187795\nAnswer: 210.812205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 11*y = 2*k - 13 - 5, -3*y + 9 = 2*y + k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -239.\nAnswer: 8\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -159712*s - 52118 wrt s?\nAnswer: -159712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s*s**(-29))*(s*s*s*s\/(s*s*((s**(-4\/33)\/s)\/s)\/s)*s)\/s)\/(s**(-10)\/(s**17*s*s*s)) assuming s is positive.\nAnswer: s**(2182\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(9\/(-3) - -2). Find the common denominator of -79\/18 and 231\/60*(r + -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + (31 - 54) + (12 - (-4 - -6))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*i + 210644 = 268*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -2*(sqrt(132)*1 - sqrt(132)))\/(sqrt(400) - sqrt(400)*3 - sqrt(400)))\/(-2*-3*sqrt(891)*-3).\nAnswer: sqrt(3)\/4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/78 and -37\/72315882.\nAnswer: 940106466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -12*s + 6. Let p be g(-5). Suppose 2*r - 910 = p. Suppose -r = -7*f - 68. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.04 = 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**0\/s)\/s)\/s)**(-11))**(-2\/35) assuming s is positive.\nAnswer: s**(-66\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1061 - -3061?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 10:46 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -11. Suppose 0*i + r*i - 20 = 0. Suppose -w + 18 = 4*s, s = -w + 11 + i. What is the remainder when 41 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/56 and 119\/4404?\nAnswer: 61656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let g be t + 4 + -1*2. Solve g*u - 16 - 4 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + 0.13. Let w = m - 0.46. Let t = 2.5 - 0.5. Sort t, -3, w in descending order.\nAnswer: t, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-2*2\/8)\/((-151855)\/2510)))\/1.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 + -9.92. Let g = 5 + u. Let x = g + 4.8. What is the third biggest value in -0.4, x, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19172064 and 6080?\nAnswer: 191720640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -w + 33. What are the prime factors of w?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 49*u**4\/12 + 217*u**3\/12 + 5*u**2 - 23*u\/3 + 4\/3 = 0.\nAnswer: -4, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -4. Calculate the greatest common factor of t and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -153*a**2 + 16*a - 2. Let z(l) = -229*l**2 + 26*l - 3. Determine 8*s(k) - 5*z(k).\nAnswer: -79*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x - 35*x = 22*x. Let p = -164 - -496\/3. Factor 4\/3 + x*f - p*f**2.\nAnswer: -4*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-16)\/18)*(35 - -1207). Is -5589 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252936, -252846, -252774, -252732, -252732, -252786, -252906, -253104?\nAnswer: -253392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4 (b) 5 (c) -0.1 (d) -0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.327 + 0.063. Let k = -0.1 - -0.11. Let x = k + c. What is the biggest value in x, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*o - 589449 = 2*o, 0 = 4*w + 3*o - 785949. Suppose -w = 2*q + 63723. Let m = 54896 - q. What is m rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 803 + 627. Let s = 2270 + v. What is s rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/120*-3 + (-270)\/(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 55*x**2 - 336*x.\nAnswer: -x*(x + 7)*(x + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**6\/600 - u**5\/50 - u**4\/8 - 13*u**3\/3 + 21. Let g(a) be the third derivative of o(a). Solve g(f) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 6*s**2 + 3*s - 27. Let u be q(-7). What are the prime factors of (141 - (-1 + u))*1?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o + 69 - 77 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k**2 - 21*k + 1. Let n(w) = 11*w**2 + 22*w - 1. Let u(p) = 5*n(p) + 6*r(p). Let z be u(16). Is -2\/129 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**4 + 21*b**3 - 166347*b**2 - 21*b + 166344 = 0.\nAnswer: -239, -1, 1, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 62*c**2 + 741*c - 24471. Give k(-76).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 7*g + 5. Let t be n(-6). Let a be ((-6174)\/(-174))\/(-7) - -5. Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27121864527 rounded to 3 dps?\nAnswer: -0.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 8 - 4)*(-2*z - 8 + 8)*(4*z + z - 3*z + 3 - 3 - z - z + 3*z - 3*z + (-2 + 6 - 2)*(0*z - 2*z + 0*z) - z + z + z) + (-2 + 2 + z)*(-z - 3*z + 6*z).\nAnswer: 278*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - 8?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**0)\/g))**5)**(1\/21)*(g\/g**(2\/3))**(12\/7)\/(g**3*g*g**(1\/6)) assuming g is positive.\nAnswer: g**(-47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/11*y**2 + 144\/11*y - 414\/11 = 0. What is y?\nAnswer: 3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, 1.13, -1, -0.4, 2\/81, 89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6\/(c*c*c\/(c*c**(-2\/7))*c))\/((c*c**(-1\/4))\/(c\/(c*c**(-5)\/c*c*c))))**(-19\/2) assuming c is positive.\nAnswer: c**(-3173\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051 times 8.4?\nAnswer: 0.4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35919903.\nAnswer: 3, 2897, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 9:49 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310*m**3*o**2 + 5*m**3*o - 3*m**3 + 14*m**2*o + m*o - 149*o**2 - 9*o wrt o?\nAnswer: 620*m**3 - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66759 is divided by 256?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 7. Let o be ((-56)\/h)\/(-2*1). Suppose 0 = 9*u - o*u - 90. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35120898?\nAnswer: 2, 3, 650387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15642608 divided by -2.\nAnswer: -7821304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*m - 0. Suppose -c + m = -0*c. Let l = -3 + c. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 3?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Suppose y - 3 = q + 2*y, w = -4*q - 3*y - 10. Is q > -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 29*o + 198. Calculate the smallest common multiple of 15 and c(0).\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -0.13\nAnswer: -1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {r: 2, i: 1, c: 1, h: 1, q: 5, u: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/25)\/(2\/40). Let a = t + -2. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -799*z + 30. Let n(r) = -2*r - 2. Let s(l) = -k(l) - 5*n(l). Is s(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 0 - 7) + -2 + -57 + 41 + 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 6044934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16599172.2 * -2\nAnswer: -33198344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30246, 10, -3, -76.\nAnswer: -30246, -76, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -26*d. Let t(m) = m**3 + m + 195. Let q be t(0). Let s = 607 + -412. Let v(l) = q + l - s. Calculate g(v(b)).\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 + 157. Suppose -429 = -m*a + 286. List the prime factors of a.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k + 5*a - 178798, -6*k = -a - 357640. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 915833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195\/2*u**4 + 0 + 0*u - 3069\/2*u**3 - 3\/2*u**5 - 3267\/2*u**2 = 0. Calculate u.\nAnswer: -1, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -30. Suppose -d*u + 2550000 = -u. Round u to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 e when three letters picked without replacement from exwsnxnxxwn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 58*q**2 - 73*q - 647. What is k(56)?\nAnswer: 1537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 26*t + 33. Let p be u(-1). Suppose -29*n + 103 = -13. Solve -n*f - a - 17 = f, f - a = -p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 9:31 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17116217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/56 and 33\/536.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2146713734?\nAnswer: 2, 11, 97577897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 + 78*m + 7605.\nAnswer: (m + 195)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4216766, 4216847, 4216930, 4217015, 4217102, 4217191?\nAnswer: 4217282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5 + 11 - 6 + 18*c. Let i(v) = -2*v. Determine i(n(f)).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4))**(-2\/11)*r\/(r*r*((r\/r**0)\/r)\/r)*r**(3\/14)\/r*r)**35 assuming r is positive.\nAnswer: r**(725\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11903 * -84.\nAnswer: 999852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -386.0282 to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 32. Suppose -5*s + 2*s = -m. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 25*a - 3724. What is the remainder when a is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 99 = -5*m + 94, -25 = -5*m + 2*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -0.1. Let s = r + -0.39996. Round s to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -5*y**6\/6 + y**5 + 5*y**4\/4 - 5*y**3\/3 - 759. Factor f(x).\nAnswer: -5*x**2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.3. Let i = -0.758 + -0.042. Which is bigger: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-68)\/(-14*(10 + -8)\/4 + 16 + -11). Suppose k - 3*k = -32. What is the highest common factor of x and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**3 - 6*t**2 + 16*t + 6. Let r(f) = 6*f**3 + 5*f**2 - 15*f - 5. Calculate 5*q(p) + 6*r(p).\nAnswer: p**3 - 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6))\/(7\/21*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 1, g: 2, u: 2, v: 2, r: 1}. What is prob of sequence gmr?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:24 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 s, and 1 x when three letters picked without replacement from xwgwpgwwgxwgwwwswx?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -280 - -442. Calculate the greatest common factor of 270 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11)*t**(-2\/7))\/((t\/(t\/(t\/(t**10\/t)))*t)\/(t**(-1\/5)\/t)) assuming t is positive.\nAnswer: t**(-192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 75 = -2*y. Let j = y + -13. Suppose j*f - 111 + 9 = 0. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 4*b**3 - 9*b**3 - b**3 - 2*b**3 + 4*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003429 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11816578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*p = 74*p - 43. Let z = 132 + p. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d**2 + 8*d - 4. Let v(m) = 20*m**2 - 23*m + 12. Let k(g) = -17*c(g) - 6*v(g). Let h be k(-4). Let j = h + 51. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50816*p**2 + 125975*p**2 - 75157*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {x: 4, i: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2 (c) -4 (d) -0.08 (e) 63 (f) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 47340*g. Let q(h) = -66*h - 5. Calculate o(q(j)).\nAnswer: -3124440*j - 236700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0449317443 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p - 2*p)*(24 + 22 + 3*p - 71 + 29 - 7*p + 2*p + 2*p + (-3*p + 4*p - 2*p)*(2 + 0 + 0)).\nAnswer: 8*p**2 - 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 10:26 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -0*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*j**3 + 120*j**3 + 368*j**3.\nAnswer: 425*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -3*(sqrt(300) + (sqrt(300)*-2 - sqrt(300))))\/(sqrt(5) - sqrt(55)\/(sqrt(11)*3)))\/((1*sqrt(1176) + sqrt(24))\/(-2*sqrt(18))).\nAnswer: -63*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 0*c. Suppose 3*j - j - v - 231 = c, -v = 2*j - 229. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-306))\/((-75)\/(-1650)*-11)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Suppose -k*s - 100 = -9*s. Calculate the greatest common divisor of s and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 less than -3.29?\nAnswer: 139.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621432?\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*a - 2*r = -442*a - 32, 0 = -4*r + 4 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -722 - -1232. What is the least common multiple of 105 and d?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1190032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c - -3?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/110 - (6835881\/(-2730))\/(-97))\/(2\/(-7))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a - 8 + 15*a - 6*a + 5 as u*a + w and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 8. What is the units digit of 10\/(-35) - (-128)\/l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5080511 + -3204?\nAnswer: -3208.5080511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21319231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22a969 (base 15) to base 11\nAnswer: -a310a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13387155, -13387240, -13387325, -13387410, -13387495?\nAnswer: -13387580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/18 - (8 - 344\/48).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1693 + 3462. Suppose 5*a - i = -n, -3*n + 5763 = 5*a + 598. Suppose -a = -5*p + 25. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 31. Suppose -4*p + 44 = -0*j + 3*j, 2*p + j - u = 0. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3*-848774.1\nAnswer: 2546322.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*s = -s, -2*p - 4*s + 12 = 0. Is (-5013)\/(-36) - p\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 2*z + 1. Let c be s(3). What is the lowest common multiple of 12 + (-4 - c) + -1 and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48264.\nAnswer: 2, 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:04 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 374, 388, 394, 392, 382?\n\"Answer: -4*v**2 + 26*v + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340697 by 49.\nAnswer: -6953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-30) + 3)\/(2\/50*5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2908379\/42 - -69239. Let x = -172150\/21 + 8196. Let m = x - f. Calculate the common denominator of m and -67\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - d - 2 = 0, -2*v + 5*d - 2 = 2. Which is the third smallest value? (a) 1\/3 (b) -2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -71*a**3 + 1. Does 36 divide p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.32868, 0.5, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l + 5. Suppose -3*h = -0*h, -5*a = -3*h - 35. Let c(f) = 2 - a + 2 - 1 - 5*f. Let o(s) = -5*c(s) - 4*j(s). Let d(m) = m**2. Give d(o(u)).\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 6, 1163\/15, 4.\nAnswer: -5, 4, 5, 6, 1163\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 616645669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - 1d2?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 17. Suppose -d - v*q = -99 - 202, -2*d + q + 580 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -3, -11 in decreasing order.\nAnswer: 72, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46695, -93378, -140063, -186750, -233439?\n\"Answer: -c**2 - 46680*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 a factor of 519064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-90)\/(-27))\/(8\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10286 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17794 + -1?\nAnswer: 17793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 5*g**2 - 5. Let m be k(-5). Let q = 133 + -140. Let o(d) = 3 + 0*d + 3 - 6*d. Let x(n) = 4*n - 4. Give m*o(r) + q*x(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -1\/5*i + 7\/20*i**2 - 1\/4*i**4 + 1\/20*i**6 + 0*i**3 + 1\/25*i**5 + 160. Determine k so that t(k) = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 2)*(0*i - i - i)*(0 - 3 + 5) + 161*i + 6267*i**2 - 6260*i**2 - 15*i.\nAnswer: 11*i**2 + 146*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n + 20. Let b(y) = -y**3 + 4*y**2 + 2*y - 4. Give b(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 5*l**2 + l. Let f(a) be the first derivative of a**4\/4 - 2*a**3 + a**2\/2 + 1. Let i(d) = 4*b(d) - 3*f(d). Factor i(m).\nAnswer: m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -780 (base 14) to base 6\nAnswer: -10512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5387 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -238, -208, -156, -76, 38, 192?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/26 - 1297857\/(-5226))*(1 - (-15)\/(-21)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*k**2 - 71*k**2 + 158*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 12*x - 8 = 0. Suppose 5*f = 3*f + x*j + 228, -f = -4*j - 108. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 86, 130, 174?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (90 - -41) + (6 - -1). Calculate the greatest common divisor of m and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -193930, -388102, -582274, -776446, -970618?\n\"Answer: -194172*i + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 7*w. Let z be c(-7). Let p = z - -41. Let h be p\/20*(-1 + -9). Let n(y) = y**3 - 4*y**2 - y - 2. Determine n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -443? (a) 5\/3 (b) -4 (c) -102 (d) 5\/6 (e) -239\/2 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8505)\/36)\/(-15) + (-20)\/(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 <= -36\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/((0 + -7)\/28). Let k be 24\/m*(255\/6)\/17. Solve -2*y - k = -8*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81 + 562 - 242*t**4 + 140*t**4 with respect to t.\nAnswer: -408*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -24)*1\/(-3). List the prime factors of (-16)\/56*x*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14870 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/17 or -22\/7?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhhj when four letters picked without replacement from {h: 1, j: 1, r: 2, n: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(770\/(-147))\/11)\/(12\/56)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 146.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let u(z) = 8*z. Let t be u(r). Let o = -4 + t. Solve -o = 3*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - -14.4. Let z = x + -13.3. Let n = z - 7.7. Which is the closest to 0.1? (a) 0.5 (b) n (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/2 - 71961*b**2 - 10655779*b\/2 + 5399850 = 0. What is b?\nAnswer: -75, 1, 143996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399264825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 0.02116?\nAnswer: 0.3174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17218\/19 < 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1978783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5 = 6*i - 8*i, 0 = -5*i + 3*a - 17. Sort 0, -2, 5, i.\nAnswer: i, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5 - 45*p**4 + 15*p**3 + 125*p**2 - 90*p = 0.\nAnswer: -9, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 753, 2736, 6531, 12726?\nAnswer: 21909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - 1) + 473 + -454?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 8*f + 5. Let b be l(-4). Suppose 24 = -b*u + u. What is the tens digit of 40\/(-3)*u\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*r - 16, -2*s = -5*r + 2 + 2. Suppose -s*l + 12 + 3 = 0. Suppose 9 = l*f - 1. Which is the second biggest value? (a) 0.3 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.2, 12, 17\/6, -4 in descending order.\nAnswer: 12, 17\/6, 2\/7, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 3*c + c)*(-2 + 2 + 2*c) + 65 - 39 + 35*c**2 - 23 to the form p*c**2 + l + y*c and give p.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-30))\/(-1 - 18\/(-15)). Let r = g + 18. Suppose 15 + 27 = o + n, -36 = -o + 5*n. What is the remainder when o is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 18*q**2 + 19*q**2 - 49*q**2 + 2 - 20*q + 18*q + 14*q**2. Let k(m) = 2*m**2 - 2*m + 3. What is 5*k(n) - 6*s(n)?\nAnswer: -2*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 272671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and 1.7?\nAnswer: -32.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -915 less than or equal to -939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18336 is divided by 3650?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5*i + 1961*c**4*i**3 - c**2*i + 88*c*i**3 + i + 3 wrt c?\nAnswer: -60*c**2*i + 47064*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/361 - -1456\/1083. Sort x, -2.79, -0.2.\nAnswer: -2.79, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/24 + 43*b**5\/6 - 415*b**4\/6 + 820*b**3\/3 - 3*b**2 - 29. Factor r(x).\nAnswer: -5*(x - 82)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -810*o - 19. Let v(i) = 3*i - 1. Let d(x) = -6*v(x) + y(x). Is d(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/693*((-46)\/(-3) + -16)*9\/44?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 277472*t - 554944. What is y(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*g = -0*g - 13, 0 = 2*v - 4*g + 14. Let r be 2\/v + (-8720)\/(-37620). Are 2\/11 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04599 and -0.3?\nAnswer: 0.34599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*m**3 + 85*m**3 - 22 - 6.\nAnswer: m**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 8. Let y be l(-4). Suppose -4*q - 4 = -y. Let h be (q\/(-2))\/(3\/60). Calculate the greatest common factor of 110 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/8, 148, 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let r(u) be the third derivative of 3*u**5\/40 + 5*u**3\/3 - 5*u**2. Let a(t) be the first derivative of r(t). What is a(x(m))?\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - x**2 - 326. Let j be o(0). Let s(f) = 460*f - 1. Let a be s(1). Let g = j + a. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 4e7?\nAnswer: 50b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-24))\/((-2)\/12)*((-255)\/(-45))\/(-17)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -6*l - 30, 2*l + 36 = -4*w - l for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -23, -5, 2\/33 in descending order.\nAnswer: 4, 2\/33, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nznni. Give prob of picking 1 i, 2 n, and 1 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22405 is divided by 7109?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13270 = -2*n + 2*f, -6*f + 33179 = 5*n - 9*f. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 73235*n**2 + 1466200*n + 7333500.\nAnswer: -5*(n - 14667)*(n + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -407*a - 5716. Determine g(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**5\/30 + 16*w**2. Let r(x) = -22*x. What is t(r(d))?\nAnswer: -968*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from {c: 1, q: 1, i: 1, v: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -364*a**2 + 111744*a + 1615. Give m(307).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1883\/123646?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**3\/3 + 11*s**2\/2 + 4*s - 22. Calculate c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.5, 1527\/8, 0.2 in descending order.\nAnswer: 1527\/8, 5.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g. Let o be i(8). Let y be ((-3)\/(-2))\/((-12)\/o). Find the second derivative of -14*j + 9*j**2 - 9*j**2 - 2*j**2 - y*j**2 wrt j.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 919, 1830, 2741, 3652, 4563?\nAnswer: 5474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/27)\/(86\/7353) + 2\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 c when three letters picked without replacement from ppcpppiic?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*d + d**4 - 3*d**3 + 11*d - 23*d + 2 as c*d**2 + a + x*d + z*d**4 + n*d**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 5*y**2 - y**2 + 2*y**2. Let o(h) = 7*h**2. Calculate z(o(d)).\nAnswer: -98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -34*l**3 - 6*l**2 + 7*l - 9. Let p be s(2). Which is smaller: p or -293?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28844\/15 or -1924?\nAnswer: -1924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*o - 6*o. Calculate the remainder when 11 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-2)\/4 + (23 - 19). Suppose 0*z - a*b = z - 71, z = -b + 55. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = 36. Let f(u) = 10*u**2 + u**3 + 12 + 2*u + 23*u - 17*u + 3*u. Let r be f(d). Let c(v) = -5*v - 5. What is c(r)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55 - 0\/(1 - 6\/2). Let w = -35 - -46. Calculate the greatest common divisor of w and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 79124*q**2 + 379769116*q + 114753641460.\nAnswer: 4*(q - 10033)**2*(q + 285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/4*(-48)\/20. Let q be ((-4)\/y)\/(2\/3). Is -4\/7 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(77)*-1)\/(-2*2*sqrt(567)).\nAnswer: 5*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*o - 8 + 2, 4*w + 9 = -3*o. Suppose -n = -w*n. Find l, given that n*l + 2*l + l**2 - 3*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1227.1.\nAnswer: -2454.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -153 from 5724280.\nAnswer: 5724433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(-2 + 0 + 4)*(13*z + 24 - 24) to the form n*z + p and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by (76\/38)\/(4\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Let v(u) = 14*u**2 - 2*u. Calculate -4*g(t) + v(t).\nAnswer: 14*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/8 - 3*k**2\/4 - 25*k\/8 - 9\/4 = 0. Calculate k.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/675 in -5\/7, -1, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 93 + 21 = 0. Let i(x) = 2*x - 20. Let p be i(l). Let a be ((-1)\/2*0)\/(p\/(-1)). Solve a = -y - 3 + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/130, -2, 66, 3\/8, -0.1.\nAnswer: -2, -0.1, 1\/130, 3\/8, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 2 (c) -4\/5 (d) -1300\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121110 (base 3) to base 12.\nAnswer: -819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**4\/8 - w**3\/6 - 6*w**2. What is the remainder when x(-6) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 10, 4*v - 12 = f + 8. Solve 15 = b + 4*z, 3*b - z = -f*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 k when four letters picked without replacement from vpfakzakkkvvkka?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 663416*w + 298194 wrt w.\nAnswer: 663416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5)*2 + sqrt(5))) + 3 - (2 + (sqrt(180))**2) - ((-1*(sqrt(5) + -2*sqrt(5)) - sqrt(40)\/sqrt(128))**2 + 1).\nAnswer: -2925\/16 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**13)\/((d\/d**(-7\/2))\/d))**(7\/2) assuming d is positive.\nAnswer: d**(-217\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 5. Let s be g(-7). Let z(c) = c**3 + 3*c**2 + c. Let n be z(s). Let t be -1*32903 + (n - -1). What is t rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13935853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 31. Suppose -31 - q = -2*d. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32033 (base 5) in base 4?\nAnswer: 201133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + 6f26?\nAnswer: 6f1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1880 - 1860. Calculate the greatest common divisor of 16 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**2 + 10. Let i(z) = 30*z**2 - 2 + 8*z**2 - 8*z**2 + 0. Give s(i(t)).\nAnswer: -60*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*f + m, m + 1 = -f + 6. Suppose f*b - 80 = 60. Suppose 0 = -5*q - 3*o + 48, 3*q = -5*o + 2*o + 30. What is the remainder when b is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -601*y**2 + 8402*y + 7. Give n(14).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 - 38 = 63*g - 5*q, 6*g - 19*g + 10*g = q + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7672 + 30489\/4. Let a = p - -49. What is the nearest to 0 in a, 1\/6, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 24*m + 5 - 3 + 4*m**2 + 12.\nAnswer: 4*(m + 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllljjlllllllllll. Give prob of sequence jjl.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -24\/155 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/15 and 50\/513681.\nAnswer: 2568405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(7290\/365 - 20).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -50362, -50429, -50506, -50593?\n\"Answer: -5*l**2 - 52*l - 50305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -422088 divided by 4?\nAnswer: -105522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(68)*-1)\/(sqrt(200)\/sqrt(2)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*s - s**2 - 27*s - s**2.\nAnswer: -2*s**2 + 67*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22133.493 milliseconds to days.\nAnswer: 0.0002561746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**4\/8 - 14*o**2 + 100. Suppose -3*j + 5 = -1. Suppose j*x = -0 + 2. What is c(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 841519, 841170, 840589, 839776, 838731?\nAnswer: 837454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19 + 20)*2\/(-7). What is the smallest value in 10, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1043, 4192, 9465, 16874, 26431, 38148, 52037?\nAnswer: 68110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4366331 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152*g**2 - 210478*g + 298629015.\nAnswer: -304*g - 210478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*f = -4*f + 8, 3*f = n. Suppose 1009 = 2*a - 519. Suppose -o - n*o = -a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - 4*sqrt(84)*1)\/(sqrt(12) + (sqrt(120) - (3*sqrt(120) + sqrt(120) + sqrt(120)))\/sqrt(10)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*r, 76*r = -4*h + 74*r + 22. Which is the closest to 1? (a) h (b) -1\/2 (c) -2.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/4760*12)\/(12*12\/240)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 5:31 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4*r - 19 + 23, -z - 2*r = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-4) + 2)*60\/(-3). Let o = y - 17. Suppose o*d - 19200000 = -d. What is d rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*x + 637 = 0, 4*r = -3*x + 2034 + 496. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 6659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-12)*-10)\/((-6)\/36). Suppose -3*r + 5*r = 2*h - 186, 25 = l*r. What is the greatest common factor of 42 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -65 and 256608.\nAnswer: 256543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f + r = -383, -f - 4*r = -363. Does 36 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 124\/10 - (-6)\/(-15). Suppose -2*y + u = -2*g, 4*g - 6 = g - 5*y. Calculate the smallest common multiple of 8 and (-10)\/g + (-1)\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 2. Let w(i) = 6*i**2. Give w(p(m)).\nAnswer: 24*m**4 + 48*m**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(252)\/sqrt(7)*-6)\/(sqrt(72)\/sqrt(54)) + -1.\nAnswer: -18*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12845 = 43*c - 5215. Solve -c*a = -417*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2418 by -6.\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k + 15. Let s be d(8). Let j = s + -36. Find the common denominator of 1\/j*(-12)\/(-56) and -71\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*t - 3*t = 13, -11 = d + 5*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3) - -1)*-3. Let n be (-4)\/14 + (-35)\/(-294). Are n and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 10 = 3*q. Let a = -4 - q. Solve 2*w - 10 = -a*w + 3*c, 0 = -5*w + 2*c + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 5*v + 7 + 9*v - 3*v. Let d(l) = 6*l - 20. Let c = 12 - 7. What is c*d(j) + 14*n(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5424979 or 5424982?\nAnswer: 5424979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2966, 2961, 2946, 2915, 2862, 2781, 2666?\n\"Answer: -t**3 + t**2 - t + 2967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104256, 104280, 104304?\nAnswer: 104328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:08 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1) + (-36)\/3. Let o be 12*(-7 + 4 + 2). Let p = h - o. Let f(j) = 7*j**2 - j. What is f(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -51\/5. Let s = 2 + -13. Let v = s + 11.5. Which is the third biggest value? (a) 0.8 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -2. Let x be 3\/i + (-56)\/(-32). Let v(p) = -21*p - 288. Let r(z) = 31*z + 403. Let q(m) = 5*r(m) + 7*v(m). Give q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122\/19 >= 1577\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.06 - -2.0600097. Round s to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 85*k + 3. Let l(z) = -7*z - 2. Let o(v) = v. Calculate k*o(f) - l(f).\nAnswer: 9*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1 + 2. Suppose 3*r - 8 = -2. Factor -2 + 3*u + u**4 - r*u**3 - u + w.\nAnswer: (u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255 - 4890. Calculate the remainder when 2\/(-9) + y\/(-81) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -0.2, 42?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 875 = 10*w - 5*w, 4*w - 736 = 4*k. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d. Let j(s) = 7*s - 1. Let b(o) = 11*o - 1. Let w(h) = -2*h**2 + 10*h - 16. Let u be w(4). Let r(a) = u*j(a) + 5*b(a). What is r(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6 - 2. Let f(n) = 12*n**3 - 2*n**2 - n - 1. Let v(k) = -k**3 - k**2. Let z(m) = u*v(m) - f(m). Is z(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + 0*t**2 - 2*t**2)*(2 + 2*t - 2 + (t - 2*t + 0*t)*(-3 - 2 + 4)) to a + q*t + g*t**2 + z*t**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -20*o - 619. Let w be a(-31). Which is bigger: 22\/177 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(1\/13)\/t)*(t\/(t**(1\/15)*t))\/t*(t\/(t**(4\/5)\/t))\/(t*t**(-2)) assuming t is positive.\nAnswer: t**(596\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1684174 * 562.\nAnswer: -94.6505788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*w - 4)*(2 - 3 - 1) + 3287*w + 882*w + 1252*w.\nAnswer: 5425*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10975 - 84333 = -2*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 705*n - 1. Let j(k) = 8*k**2. What is i(j(y))?\nAnswer: 64*y**4 + 5640*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*h + 1136*h = -132 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3867869 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/8 - -5) + -5. Let j be (k + 234\/(-114))\/((-1)\/(-3)). Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5 = -3*q, 0 = -5*m + 6*m + 5*q - 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**6\/2 - 8*i**3\/3 + 24*i. What is the second derivative of s(a) wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21899\/2086 - -2\/1043. Suppose 0 = 83*g - 72*g - 33. Find h, given that 3*h + 0 + 27\/2*h**2 + x*h**g = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50517791 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 j when three letters picked without replacement from {s: 2, j: 1, t: 2, c: 8, h: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62969 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1385 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -168 divided by 4\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62316)\/1350 - -46)\/((38\/(-10) - -4)\/1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 25*z**3 - 5*z**2 + 2*z**2.\nAnswer: 25*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533770 divided by -506754?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from {n: 2, v: 1, u: 1, c: 2, o: 6, f: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/13 + 16*t**4\/13 + 158*t**3\/13 + 164*t**2\/13 - 336*t\/13 = 0. What is t?\nAnswer: -4, -3, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/2338 and -13\/8517?\nAnswer: 119238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - 111\/(-9))*30*3. Suppose -y = -7*o + 3*o - 3*n, -3*o + n = -286. What is the remainder when o is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 1.3. Let p = u + -1.01. Let a = p + 0.010046. Round a to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4132054 to the nearest integer?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**3 + 10*j**2 - 31*j - 20. Let p(k) = 13*k**3 + 21*k**2 - 61*k - 40. Let i(c) = 6*p(c) - 11*y(c). Is 29 a factor of i(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-10)*(-35391)\/(-9). Let f = d - 211601\/90. Calculate the common denominator of f and (-3)\/(-2)*(-174)\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3732, -7, 1 in decreasing order.\nAnswer: 1, -7, -3732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7443, -14914, -22367, -29796, -37195?\n\"Answer: w**3 + 3*w**2 - 7487*w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1484726 + 130?\nAnswer: 1484856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 30. Let h(f) = -f**2 + 10*f - 2. Let c be h(10). Let i be (4 + c + 0)*1. Solve l + o = i*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1738512241.\nAnswer: 1738512241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -j + 2*o, -48*j + 54*j - 54 = o for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -22*f - 171. What is a(-9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let n(i) = -50*i + 1. Give p(n(s)).\nAnswer: -2500*s**2 + 100*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64296 + 64305.8114. Let r = y - -0.0386. What is r rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/7 - 11330*w**2\/7 + 16527614*w\/7 - 1353462654\/7 = 0.\nAnswer: 87, 2789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5884608, 5884610, 5884612?\nAnswer: 5884614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:17 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*h + 108059, 3*h = -5*b - h + 270067. What are the prime factors of b?\nAnswer: 7, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 53. Suppose 0 = -5*i - 2*x + 29, -12 = -i - 4*x + 1. Let z = 1 + -1.3. Put a, z, i in decreasing order.\nAnswer: i, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - b + 2*b + 26 = 0, 5*w - b = 40. Suppose -2*j = w - 27. Calculate the lowest common multiple of j and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*z - 75*z - 121163 = -5*v, 24227 = v + 3*z. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3980 = -4*u, -2*u - p + 2002 = 4*p. What are the prime factors of u?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 4*h**2 + 2*h - 1. Let t be k(2). Sort -3, -4, t in decreasing order.\nAnswer: t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myem when four letters picked without replacement from yeymemmm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 7:42 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Suppose c - 5 = -3. Suppose 2*s = c*w, -6*s = 2*w - s - 14. Solve d = -w*k + k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 less than or equal to 4110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1925080305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**2\/3 - 25*n\/3 + 20\/3 = 0. What is n?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/21, 10, 0.15, -2\/375?\nAnswer: -2\/375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4423 - 35?\nAnswer: 4388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.9, -29?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 4657*x + 193815. Calculate r(42).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haav when four letters picked without replacement from {v: 7, a: 2, h: 2}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*p - 1232*p + 607*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72178.64m?\nAnswer: 7217864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 1 + 5 = 0. Let m = 7 - j. Suppose -m*n + n = -15. Solve -3*v + n*u = v, -3*v - 4*u = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5036 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 3*v - 10. Let h(d) = -d - 5. Give -5*h(t) + 2*p(t).\nAnswer: 2*t**2 - t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 0*j + 8*j)*((2*j - 5 + 5)*(0*j - 2*j + 3*j) - 2*j**2 - 2*j**2 - 2*j**2) to i*j + y + d*j**2 + l*j**3 and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebe when three letters picked without replacement from {e: 13, b: 6}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8492\/66 + (-18620)\/1470.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.29 + -8.41. Round p to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/9 + 272960*g\/9 - 151650 = 0.\nAnswer: -136485, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 6*n - 40 + 40 - 2*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4\/5, -2\/99?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*q**2 + 0*q + 14*q**2 + 20*q**2 - 5*q**3 - q in the form d + n*q**2 + c*q**3 + s*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 42*k + 3. Suppose -r = -t + 4*t - 10, 5*r = 4*t - 45. Let b be u(t). Suppose -b = 2*y - 799. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29665409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 588 = -0*h. Factor -h*q**2 + 1 + 0 + 195*q**2.\nAnswer: -(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nncocmjm. What is prob of sequence jm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**9*h))**5*(h*(h\/h**(-8))\/h)**24)**(2\/33) assuming h is positive.\nAnswer: h**(114\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -3\/2, -3\/4, -5136838?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1894 - -1967. Let d = -3 + 9. Suppose d*z - 2*z + h = 75, 0 = -5*z + 3*h + 98. What is the remainder when q is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15391833 is divided by 5130607?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*(-40)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**3*f**3*u - 3*a**3*f**3 - 236375*a**3*f*u + a**3*f + 11992*a**2*f**3 + 2*a**2*f wrt u?\nAnswer: -3*a**3*f**3 - 236375*a**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 + 3*l - 1. Let c be x(-2). Let g = 1 + c. Let p(j) = -7*j - g*j + 20*j. Let u(b) = -8*b. Calculate u(p(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 467736*l.\nAnswer: -467736*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 2:53 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3\/10, -0.1, -0.19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -588, -1262, -2024, -2868, -3788, -4778, -5832, -6944?\nAnswer: -8108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -14 - 6\/7*r - 11\/14*r**2 + 1\/7*r**4 - 1\/21*r**3. Factor c(p).\nAnswer: (p - 2)*(p + 1)*(4*p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 7*t + 4. Let v be y(-7). Suppose -v*m = -12, -2*j - j = -3*m - 3. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Let t(x) = x**2 + 2*x + 3. Let s be t(-3). Suppose 2*r = -r + s. Let j(d) = -r*d + 3*d + 23*d. Determine g(j(n)).\nAnswer: -1152*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -23*v + 17*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2809911 and 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 14 - (-12 - 0) - (5 + 1)) + -34?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzo when three letters picked without replacement from zzzoozwowozwozwzooow.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13031213 + 3230?\nAnswer: -13021323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*z. Let b be (-5)\/(-5) - 112\/(-1). Suppose -5*h + b + 322 = z. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -269 by 676.\nAnswer: -269\/676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166504 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 10 = -2*p. Let c(v) = 7*v - 3*v - 2 - 3*v. Calculate the remainder when 5 is divided by c(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3. Let n(c) = 3*c**3 + c**2. Suppose 0 = 13*r - 4*r - 9. Give r*n(v) - k(v).\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1694 - 1035. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.019, 1, -8\/1207, 3\/2, 2\/5, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f - 9*f - 24*f**3 - 4*f**2.\nAnswer: -24*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -13*s**2. Let j(g) = -30*g**2 - 2*g. Calculate j(r(a)).\nAnswer: -5070*a**4 + 26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 249 + -87. Suppose -s = -2*l - l. Suppose p - 70 + l = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100 - 11001011100101101001?\nAnswer: -11001011100110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*c - 47. Suppose -b = 4*r + 4, -c*b + 5*r + 34 = -22. What is the remainder when 13 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6790836 to 2 decimal places.\nAnswer: -8.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 156.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 10. Let n(u) = 4*u - 9. What is t(n(p))?\nAnswer: 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 3*j**2 - 11*j + 6. Let p be 0 + (-2 - -3 - 6). List the prime factors of u(p).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v = 5*j - 743, 432 = 3*j - 4*v. Is 40 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19\/6 - 11\/3. Which is the nearest to z? (a) -6\/5 (b) -3\/4 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 369 and 1517?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4\/4 - 2*v**3 - 5*v**2\/2 + v - 12. Determine u(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16 + 0.04. Suppose -7*j = -17*j + 20. Let i be (-150)\/(-12) + (-1)\/j. Is i greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/4)\/6*5\/145.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 - 1. Let l(o) = 7*o**3 + 6*o**2 + 12*o - 6. Calculate -l(b) + 6*w(b).\nAnswer: -b**3 - 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -5 - (-7 + 5) - 3 - -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4176*d*g + 15*d + 15 wrt g.\nAnswer: 4176*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4354821.\nAnswer: 3, 483869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = 5*m, 0 = -4*x - 2*m + 30. Suppose i = -n + 9, -5*i + n + 27 + 24 = 0. What is the smallest common multiple of x and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -321392*r**3 + 5*r**4 + 642778*r**3 - 321386*r**3 + 791*r - 3 to the form f*r + v*r**2 + t*r**4 + i + o*r**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4927 or 4928?\nAnswer: 4927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*b + 123*b - 5*m = 22, 2 = -2*b - 5*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -93*i - 4. Let m be f(-1). Let g = m + 45. Suppose -g = 2*k - 3*k - 5*x, -3*k = -4*x - 326. What are the prime factors of k?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.4 and 891894.\nAnswer: -8383803.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 24 = 24. Let n be (590\/75 - 3) + -3. Is n > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 10*r**2 - 10*r + 12. Let v be i(9). Which is the closest to -1\/3? (a) v (b) -3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 8 = -2*i - 3*h, 0 = i - 4*h - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 - 0.10311?\nAnswer: -86.10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 1395*c + 403560 = 0. Calculate c.\nAnswer: -456, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 394939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 802463108*l**6 - 1044069958*l**2.\nAnswer: 96295572960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*n + 13. Let a = n - -23. Let z(h) = 13*h**2 - h + 5. Let s be z(4). What is the highest common divisor of s and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5465.57 millilitres?\nAnswer: 5.46557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - 5*f**4 + f**4 + (4*f**2 - 2*f**2 - f**2)*(2*f**2 - f**2 + 0*f**2) + 4*f**4 - 4*f**4 - 2*f**4 + 2*f**2 - f**4 - 2*f**2.\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.05, -16, -4, -0.5, -4\/9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 9*i - 4 - 1 as c + t*i and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364504526 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -7 + 46 + (12 - (10 - -2)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 17*n**2 + 2*n + 36. Let s be j(-17). Suppose s*l - 893 = -87. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/77? (a) -0.1 (b) 2\/11 (c) -1 (d) 4\/9 (e) 1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 1672 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*k**4 - k**3 + 448*k**2 - 9579*k - 215 wrt k?\nAnswer: -144*k**2 - 6*k + 896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/13)\/(b*b*b**(-17\/5)*b*b)*(b**(-11\/3))**(5\/6))**(-32) assuming b is positive.\nAnswer: b**(71312\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*a = -0*a + 142, 2*v - 4*a = 74. What is the remainder when v is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1. Let u(l) = -7*l - 7. Calculate 7*a(p) - u(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 331 = -381. Put 2, v, 0, -27 in descending order.\nAnswer: v, 2, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 3*s - 4. Let p be v(8). What is the highest common factor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298281.\nAnswer: 3, 19, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 30*s**2 - 69*s + 27. What is t(6)?\nAnswer: 693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 2, r: 2, y: 1, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 14*x**2 + 24*x - 55. Determine t(-16).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124825598.\nAnswer: 2, 62412799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -2 - (815 - 765) - 36.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 21*l - 12. Determine a(-8).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122503 - -122509. Let k = -1 - -3. What is the closest to -0.1 in u, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -12*o + 6*o. Let y be o\/12 - (-10)\/(-120). Factor -5\/4*c**2 + 0 + y*c.\nAnswer: -5*c**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l + 17*l - 35*l - 3*l - l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -717.262 * 0.5\nAnswer: -358.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*v + 16, v - j - 11 = -2*v. Differentiate g**v - 8 + 35 + 59*g + 23 + 32 wrt g.\nAnswer: 2*g + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvhb when four letters picked without replacement from {x: 1, l: 1, h: 1, v: 2, b: 1, a: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 15*k + 16. Suppose 3*u - 6*u - 2*o = 8, u + 5*o = -7. Let s(c) = -30*c - 32. Let f(i) = u*s(i) - 5*n(i). Let q be f(-9). Round q to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/6*1\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**5\/60 - 5*d**4\/24 - 3*d**3\/2 - 30*d**2. Let k be g(-2). What is the hundreds digit of 3\/((-3)\/(-220)) + k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(648)*5 + -1*sqrt(648)*4)\/(((sqrt(768) - sqrt(768)*-1) + sqrt(768))\/(sqrt(3) - (sqrt(27) + sqrt(243) + sqrt(27)))).\nAnswer: 147*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1631*r**3 - 4*r**2 - 8*r - 4. Let d(v) = v**3 + v**2 + 2*v + 1. Determine -4*d(i) - x(i).\nAnswer: -1635*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**3 - 61*v**2 - 47*v - 69. Let t(y) = y**3 + 20*y**2 + 16*y + 23. Let u = -496 + 494. Let o(m) = u*d(m) - 7*t(m). Give o(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 4*m - 4. Let w be j(7). Suppose 5*z - 2*x = -136, 5*x - 7*x = 2*z + 60. Let s = w - z. Solve 2*n + 0*n + 3*g = -7, -4*g = -s*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:01 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 362\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2. Let m(j) = j**3 + 3*j**2. Let a(s) = 2*d(s) + m(s). Let g(k) = -165*k - 10560. Let q be g(-64). What is a(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, 1\/6, 3, 6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, -2\/9, 7, -6\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (285\/5700)\/(((-242)\/(-16))\/(-11)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 3*q**3 + 12 - 1 - 13*q**2 - q**3. Let w = 144 - 131. Let d be g(w). What is d rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -45. Suppose -y = y - n. Is 3\/y - 236\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629744 is divided by 122?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13276 is divided by 53.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 779439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 12) to base 5\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4550.99 meters in nanometers?\nAnswer: 4550990000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 + 460 = 2*m. Let i(f) = -8*f + 5. Let v = -15 - -9. Let c(t) = 23*t - 14. Determine m*i(z) + v*c(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146854.3 years to decades.\nAnswer: 14685.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 6 - 2)*(-4*i + 3*i + 3*i) + (0*i + 4*i - 3*i)*(0 - 4 + 5) - i + 4*i - 2*i + 0*i + 0*i - i)*(-2 + 2 - i).\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 13*u + 15. Let o be a(12). Let q = 21 + o. What is the units digit of 4\/q - 46\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = -32 - 32. What is the closest to -1\/4 in -0.1, -2\/3, z, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**10*r**(-10)*r*(r*r\/(r**(-2\/5)*r))\/(r*r**(5\/4)) assuming r is positive.\nAnswer: r**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.6 + 12.07. Let q = 0.03 + l. Let p be 2\/(-11) + (-4)\/(264\/(-210)). What is the biggest value in q, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(1\/6)*g\/(g*g\/(g*g\/((g\/(g**(-15)\/g))\/g))) assuming g is positive.\nAnswer: g**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 48, 92, 144, 198, 248, 288?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 1416356?\nAnswer: -1416352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22b7b3 (base 13) to base 16.\nAnswer: c9774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 246722 - 31958\nAnswer: 214764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 3*g**2 - 1. Let k be w(3). Let d(h) = -3*h**3 - 2*h**2 - 2*h - 1. Let r be d(k). Suppose -r*o = -15 - 5. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10251.\nAnswer: 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09262737058 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 2. Let o(p) = p**3 - 10*p**2 + 8*p + 5. Let m be o(9). Determine y(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 64. Suppose 0 = -5*d + c + 40 + 31, -2*d + 3*c + t = 0. What is the greatest common factor of d and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*d**3 + 1822*d**3 - 270*d**3.\nAnswer: 1356*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3954\/27 + 8\/(-18). Suppose -131 = -3*m - y. Let n(j) = j**2 + 6*j - 5. Determine n(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213354 and 559286.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115775795 and 7171?\nAnswer: 7171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149149074*d**3 - 33304189*d**2.\nAnswer: -894894444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -36952 and -36845 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20547 - -37624. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16743\/79 or -213?\nAnswer: -16743\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*o - 41 + 642, -o = -4*h - 313. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 - w + 7. Let h(q) = -4*q**2 - 4. Suppose 4*v - 14 - 6 = 0. Let t(g) = v*h(g) + 3*k(g). Calculate t(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 14*y - 23. Let h(p) = -14*p**3 + p**2 + 1. Let b be h(1). Let i be m(b). Solve i = 3*s - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) + 42\/9. Suppose r*s - 2 - 23 = 0. Suppose 10 = 5*u - 3*i, -2*u - 1 = s*i - 5. Solve -u*y - 4 = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110837 * 125.\nAnswer: -13854625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 960421.1 years in centuries?\nAnswer: 9604.211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 905726376 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 8, d: 4}. What is prob of sequence dvy?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -697 - -724. Solve -10*g + g - l = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*i = -59 + 4, 5*j = -i + 55. Let y = j + -8. Let o(f) = -2*f**3 + 2*f**2 + 8*f**y - 7*f**3 - 4*f**2 - 2. Determine o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -25*i**2 + 8*i + 5. Let n(d) = 12*d**2 - 4*d - 2. Give -9*n(b) - 4*s(b).\nAnswer: -8*b**2 + 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w - 6. Let s(z) be the first derivative of z**2\/2 + z - 298. Let l be 48\/(-36)*(1 - 4). Give l*d(u) + 22*s(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1416 by 6085.\nAnswer: 1416\/6085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-250))\/(0 + (-2)\/70)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10 + (-10)\/5 + 547?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c2 - -1?\nAnswer: -3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4\/3 + 36415*g**3\/3 + 182200*g**2\/3.\nAnswer: -5*g**2*(g - 7288)*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 5*n - 9. Let t(u) = u**2 - u + 1. Let i(a) = -2*f(a) - 10*t(a). Let d(p) = -9*p**2 + 5. Calculate 8*d(v) - 5*i(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.9367 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -11*s + 6*s + 268, 0 = 3*s. Suppose -58*m = -f*m. Are m and -4.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6 - -2) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 41. Let p be 3\/((-18)\/(-958000))*(-36)\/m. Round p to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -148, 474, 1560?\nAnswer: 3110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urrkyssussssssssss. Give prob of picking 1 r and 1 y.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846992 is divided by 228?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -4\/879653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 248759551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -23 - (5 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 264\/55 + (-1)\/(-5). Suppose k*o = -9 - 36. Let f be 553\/63 - 2\/o. Calculate the greatest common divisor of f and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3515 and 268435?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -123\/43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(28)\/sqrt(4) + sqrt(21)\/sqrt(3)*6 + sqrt(7)))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -4107 and 1\/56 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9929*c**2 + 14. Let s(h) = 9*h. Give s(n(l)).\nAnswer: 89361*l**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Let y = -1 - x. Let r = -0.6 - -0.5. Which is the closest to 1? (a) y (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 401\/120 - 52\/15. Let l = 0 + -1. What is the closest to l in c, 0.3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8709 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8 + 27 = 0. Let c be 3\/(-1 + (-1 - -1)). Let q = c - -8. Solve -f - z = 2*f - 5*j, q*j = -5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197838.99 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 103*h**5\/5 + 13*h**2\/2 - 291. Find the second derivative of y(s) wrt s.\nAnswer: 1236*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1646251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12094767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (724*o - 724*o + 143*o**2)*(-2*o + 4 - 1 - 1).\nAnswer: -286*o**3 + 286*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -943 divided by -170923\nAnswer: 943\/170923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -657770, -657781, -657808, -657857, -657934?\n\"Answer: -u**3 - 2*u**2 + 2*u - 657769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -24163*b + 39. Let f(s) = -2013*s + 3. Give 25*f(l) - 2*k(l).\nAnswer: -1999*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*g - 253 + 953 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, -5, -12, 7 in increasing order.\nAnswer: -12, -5, 7, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 23*d. Suppose 0*g = 4*l - 5*g - 8, l = g + 2. Let a = -333 - -335. Let k(i) = 48*i**a - 4*i - 46*i**l + 4*i. What is t(k(h))?\nAnswer: 46*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318.797 millennia in years?\nAnswer: 1318797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 2 + x**3 + 4*x**2 - 2*x**3 + 1. Let i be n(-1). Suppose -o - i = 4*p - 7, 4*o - 3*p = 39. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 60*n + 802. Let b be l(-20). Solve 0 = b*f - 4, a = 5*f - 4*f + 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - h - 2. Let t(z) = z**3 - 23*z**2 + 22*z - 3. Let c be t(22). What is m(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22566 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n - 245. Determine m(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**3\/3 - g**2 + 3*g - 2. Let u be a(2). Let w = -3 - u. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*t + 165*t + 172*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b + 19*b + 16*b + 48*b.\nAnswer: 105*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07372 rounded to 3 dps?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3193*x + 420 = -2983*x. Suppose -14\/13*z + 2\/13*z**x - 16\/13 = 0. What is z?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/16*4\/(-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000333 (base 6) to base 8.\nAnswer: 266401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 4 - 12*i + 3 - 4 - 13*i**2. Let l be y(-12). What is the derivative of -10 + 17 - 6 - 8 + 3*h**l wrt h?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400613?\nAnswer: 3, 17, 29, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 559728 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -0.4 (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 23*g**2 - 10*g + 328. List the prime factors of r(11).\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311723*j + 311612*j = 3663 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50421 and 686.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15129 a factor of 6705475380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12879 - -14287. What is the smallest common multiple of 880 and l?\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13811871?\nAnswer: 3, 17, 270821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58405.\nAnswer: 5, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6545.415 millennia?\nAnswer: 6545415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 88 + -a1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 12, 0 = 10*f + 84*h - 82*h + 36 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 + m + 16 - 27 - 1 - m + 1 + (-4 + m + 4)*(-5 - 1 + 5) to u + y*m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10431, -41672, -93723, -166584, -260255, -374736?\nAnswer: -510027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 979935 (b) -3 (c) 13.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13570, -27142, -40716, -54292, -67870, -81450?\nAnswer: -95032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.18, -1\/7, 1 in increasing order.\nAnswer: -1\/7, 0.18, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/15, 1, -46\/7, 145, 2 in decreasing order.\nAnswer: 145, 2, 1, 1\/15, -46\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.049 (b) -0.4 (c) 1\/112 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(68)\/sqrt(4) - sqrt(34)\/sqrt(2)*-6.\nAnswer: 4 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4318 + 4320. Determine d, given that -2\/7*d**h + 12\/7*d - 18\/7 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 9) to base 15\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 999446 at most 999457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5641.52733 from 0.073.\nAnswer: -5641.45433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -865 and -0.104.\nAnswer: 89.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988989 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.05, 4, 1\/9, 27?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*h - 97*h + 18 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210 + -206. Which is the third smallest value? (a) 8 (b) -5 (c) m (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*r**3 + 3036*r**2 + 2036*r + 340 = 0. What is r?\nAnswer: -1\/3, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 - (-36)\/28. Let v be 50919*(1 + 1 + a). Suppose -567243 - v = c. Round c to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1)\/(1\/20))\/((-508)\/400304)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v - 17. Let y be o(9). Suppose 7*l = -3*h + 4*l + 48, -3*h + y = 2*l. Calculate the greatest common factor of 126 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 64 = -4*m - v, 5*m = -2*v + 59. Calculate the remainder when 36 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2*21*(-18)\/12. What is the highest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 1211416.\nAnswer: 18171240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-35) - ((-144)\/10)\/(-4). Let l(d) = -5*d**3 - 2*d**2 + 10*d + 11. Is l(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*y - 20, 4*y - 1 = 3. Let f(m) = 5*m**2 + z*m**2 - 8*m**2. Let c(l) = -l**3 + l**2 + l - 1. Let i be c(1). Calculate f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12667438.\nAnswer: 2, 7, 131, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3871 is divided by 93.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 2*r - 1. Let x be s(-3). Suppose -2*n - 260 = -5*u, 0*u - 98 = -x*u + 2*n. Suppose u = -2*d + 4*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*-2*9\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)*-2*3)\/((-2*sqrt(63))\/sqrt(7)))\/((5*sqrt(72)*2)\/(sqrt(216)*2)).\nAnswer: 18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 bigger than 185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-113)\/15 - 32\/160. Is n > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**3\/3 + 2*o**2 - 5*o - 6. Let i(j) = 2*j**2 - 7*j + 9. Determine 3*i(b) + 5*z(b).\nAnswer: b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 15*p**2 + 2990*p - 2000 = 0.\nAnswer: -200, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 740 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-24))\/(138\/920)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176 + 344. Suppose 153*o - l*o = -90. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at most -218\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99.1 - -105. Let g = i - 0.9. Which is the third biggest value? (a) -2\/3 (b) -1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/66 and 113\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 262 in decreasing order.\nAnswer: 262, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -514, -1216, -2100, -3256, -4774, -6744?\n\"Answer: -15*y**3 - y**2 - 594*y + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 21\/48667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:05 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*3\/(-6) - -4. Suppose 4*i + 3*m = 6 + 6, 2*i = b*m + 6. What is the remainder when (-2)\/(-6) + 20\/i is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.1 and -121?\nAnswer: -859.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 23 - 21 = 0, 5*w = -3*p - 4. Let b(x) = -10*x - 3. Let q(s) = 5*s + 1. Calculate w*b(a) - 5*q(a).\nAnswer: -5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3599359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -935169204 divided by -3363918?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 2. Let z be f(-4). Factor -1 - 21 + 8 - z + 4*g**2.\nAnswer: 4*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 3*j. Suppose 0 = -0*c - 5*c + 20. Put c, j, -2 in decreasing order.\nAnswer: c, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 5*x**2 - 2*x - 4. Suppose 0 = 4*n - 0*n. Suppose -3*g - 17 + 2 = n. Determine m(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 15 - 20 = 0. Suppose -i = t*h - 15, h + 4*h = -4*i. Let n(o) = h + 2*o - 4. Let v(j) = -j. What is n(v(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 - 6965*d + 20763. What is i(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, 2, -3.1, -2\/7, 1\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 720.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2\/5*a**5 + 0*a - a**2 + 1\/2*a**4 - 9 - 2\/3*a**3. Let y(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -125*a**4\/12 + 28*a**3\/3 + 297*a**2. Differentiate j(w) wrt w.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12)\/g**(-12))**(3\/11) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -94784, -95031, -95282, -95537?\n\"Answer: -2*m**2 - 241*m - 94541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 4:32 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - t**3 - 4*t**3)*(-t - 2*t**2 + t) + 0*t**5 + t**5 + t**5 - 3060*t**4 + 3060*t**4 - 93*t**5 + (-t**3 + 2*t - 2*t)*(-t**2 - 4*t**2 + 4*t**2).\nAnswer: -88*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3*l - 54, 1730*u - 10*l + 208 = 1733*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5e8b (base 16) in base 10?\nAnswer: 24203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 - (3 - 0)*(-4)\/3. Suppose -8*x + 24 = -s*x. Is 39 a factor of -211*(x - (-2)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/4)\/((-17)\/68). Suppose -v*o + 143 = -95. What is the greatest common factor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -a + 17, a = 5*f + 25 - 2. Let m be 5*(-4)\/(-90) - (-356)\/a. What is the remainder when 26 is divided by (3 + -28)*(-12)\/m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288 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: Which is the second smallest value? (a) -82.7 (b) -2\/25 (c) -1 (d) 46 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, r: 3, x: 1, l: 2, k: 3}. Give prob of sequence bk.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1842 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 39\/(10\/((-1960)\/(-12)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 9. Calculate t(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 7:17 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q + 21. Suppose 0 = 13*u - 10 + 36. Let f be n(u). Which is smaller: -1\/1190 or f?\nAnswer: -1\/1190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbibytyybsrbbtb. Give prob of picking 1 b and 3 t.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -0.45. Let s = w + -0.25. What is the second smallest value in 4, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4 - 8. Suppose -n*s = -42 - 70. Solve 4*z + 0*z + s = -4*x, 2*z - 5*x = 21 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5 - 18*f**4 + 9*f**3 + 30*f**2 = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32053 - 6528. List the prime factors of z.\nAnswer: 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9225 + -6388. List the prime factors of f.\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2)\/w*w)*w)\/(w**(-4)*w))**41 assuming w is positive.\nAnswer: w**287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5 = 67*x, -56 = 2*s + 7*x - 157 for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-2)*m))**(-6\/13) assuming m is positive.\nAnswer: m**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(114)\/(sqrt(42)\/(sqrt(7) + sqrt(7) + sqrt(63)\/sqrt(9))).\nAnswer: 4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88597713\/14 + 6319886. Let j = 8515 + q. Find the common denominator of 61\/18 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, -5\/3, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22309335 and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2. Suppose -25*u + 18 = -23*u. Let a(f) = -9*f - u*f + 77*f + 22*f. Determine j(a(o)).\nAnswer: -6561*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142, -497, -1064, -1843?\n\"Answer: -106*r**2 - 37*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/((-19920)\/(-8192)) - 6\/(-45).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11 - ((-3)\/(-3 - -2) + -1). Let i(j) = j**3 + 17*j**2 + 10*j - 10. What is the tens digit of i(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 1, f: 3, n: 1, w: 1}. Give prob of picking 1 f and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - 13*q. Calculate c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8348, -31728, -70694, -125246, -195384, -281108?\n\"Answer: -7793*a**2 - a - 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 8734a?\nAnswer: 87344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -9, -5, -7, -21, -53, -109?\n\"Answer: -p**3 + 6*p**2 - 7*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 5) to base 6.\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/(1\/(-2)). Suppose -6 = j*y - y. What is the common denominator of -54\/5 and y\/(-6) + (-87)\/(-42)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 9. Let q(r) = -2*r - 19. Calculate -13*f(w) - 6*q(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052017 times -3?\nAnswer: -3156051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030775 to 6 decimal places.\nAnswer: -0.000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.049*-1016141.\nAnswer: -49790.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Let b be 6\/21 + (-144)\/(-84). Suppose 5*r = 4*k + 31, b*k = -k + 3. What is the remainder when r is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -40, 4, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1006 by -52091.\nAnswer: -1006\/52091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) 0.5 (c) -1 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 45.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10741150 is divided by 716075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -37?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, z: 11, e: 1}. Give prob of picking 2 o and 2 z.\nAnswer: 308\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*s\/(s\/((s\/(s*s\/s**(3\/5)))\/s)))*s*s\/((s*s**(-16))\/s)*s**(-17)\/(s*(s\/s**(-11))\/s) assuming s is positive.\nAnswer: s**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108\/5 - 377\/20. Let s = 28861\/8 + -3598. Find the common denominator of h and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*o - 472*o = 433023. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/5? (a) 0.048 (b) -1\/5 (c) 4 (d) -3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i - 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 666 = -538. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-2*p**2 - 10*p**2 + 3*p**2)*(3*p + 8*p - 6*p).\nAnswer: 45*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 319799643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 6 + 7 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 1 (b) 17235 (c) -10\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -618 in 1\/2, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, e: 9}. What is prob of sequence eebe?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - 0. Let n(g) = g**3 + 14*g**2 + 11*g - 16. Let l be n(w). Let p(h) = h**2 - 6*h - 9. What is the tens digit of p(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/17)*b)\/(b*b**(-2))*(b**1)**(-25) assuming b is positive.\nAnswer: b**(-393\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 3\/4) + (-12825)\/(-60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*z = 52*z + 399 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) -0.06 (c) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 9) in base 8?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*c + 17 + 3 = 0, 3*t + 3*c - 15 = 0. Suppose k = -4*i - 63 + 12, t*k = i - 297. Is -60 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -7*s + 3400. Let a(k) = -25*k**3 - 5*k - 5. Let f be a(-1). What is the highest common divisor of s and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3763 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2 + 2760\/240. Solve 4*h + 5*q - 3 = 0, 4*h - r*q - 11 = -7*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i**2 + 105 + 2*i - 4*i + 0*i - 103 to the form u*i + r + l*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 3, a: 3, z: 4}. What is prob of picking 3 z?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 263*z - 82 - 6 + 14 - 4.\nAnswer: 263*z - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/4 + 40*(-48)\/512.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 divided by 6?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 284, 14, 5, 1, 109 in descending order.\nAnswer: 284, 109, 14, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1675621*v**3 - 1675619*v**3 + 5026790*v**3 - 1675601*v**3.\nAnswer: -51*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 17745 = 7*x. List the prime factors of x.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18220)\/2733)\/(1\/(-3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31106 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501768551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b + 5. Let x(k) = 8*k - 7. Let w(l) = -6*j(l) - 5*x(l). Let v(n) = -4*n + 6. Determine -3*v(d) + 4*w(d).\nAnswer: -4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 4*l - 5. Let g be y(6). Let z = 29\/4 - g. What is the nearest to z in -1, 4\/5, 1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d**3 + 12*d**3 + 12*d**3 + 7*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 568 and 1291703.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - 52. Calculate the common denominator of -40\/7 and f\/(-9) - (-3 - 1 - -8).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1613171 * -1.2\nAnswer: 1935805.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -1018*i - 1157. Let n be b(-3). What is the greatest common factor of 63 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**5\/80 - 31*n**4\/4 - 247*n**3\/8 - 2099*n**2. Find a such that q(a) = 0.\nAnswer: -247, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 less than -5853844?\nAnswer: -5853843.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(y**4 + 5 - 2019*y**2 + 2019*y**2 + y**3).\nAnswer: 3*y**4 + 3*y**3 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*i + 27, -27*i + 24*i - 15 = 0. Let u(l) = -l**3 + 3*l**2 + 2*l + 8. Give u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72842 and 102839.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obhodeg. Give prob of picking 1 e and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-2 - 0 - -1). Is m + 5\/(10\/24) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5957 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3118.063 - 3118. What is the third biggest value in 2\/3, g, -2, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a - 5. What is the remainder when a is divided by 30\/(-6) + -2 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (-5*sqrt(136))\/sqrt(8)*2 + 4).\nAnswer: -60*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.094 - -67.206. Let x = y + 0.7. Let b be (-1)\/(-4)*8\/(-3). Is b greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 8*m - 9. Calculate w(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m - 7 = l, -4*m = -2*l - 22. Let i be (-34)\/l + (-2)\/(-9). Let h = i - -66. Calculate the greatest common divisor of h and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2473 + 2481. What is the greatest common divisor of r and 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Suppose -2*l + 4 + 16 = 0. Let w(o) = -o**3 + 5*o**2 - 5*o - 1. Let r be w(3). Let c(h) = 8 + 2 - h**r - l. Calculate c(j(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -587596, -587597, -587598, -587599?\nAnswer: -587600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 13*m**2 - 4*m + 5*m + 2*m**3 - 16*m**2 to the form i*m**3 + c + t*m**2 + k*m and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2190 and 543072.\nAnswer: 198221280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77441?\nAnswer: 7, 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 29. Let f be z(0). Let n = f - -39. Solve -4*g = n + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from wrkkkikwmww?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810 and 188070.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 217.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61\/45 + 1\/45. Let y = 3 + -7. Let i = y + 3.6. What is the closest to -1 in -3, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 114270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -33. Solve 0 - 4 = -3*j - r, -t*r + 12 = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2 + (sqrt(75) - (sqrt(75) + sqrt(75) + 0 + sqrt(75)) - sqrt(75)))**2 - 5*(-5 + sqrt(75))).\nAnswer: -85*sqrt(3) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y**2 + 20*y**2 - 54*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/390 - 80*g**4\/39 + 25600*g**3\/39 - 21*g**2 + 5. Solve o(a) = 0.\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/11 and 27\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 210.\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14276865305 - 4.4\nAnswer: -14276865309.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364 is divided by 51?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 11*t + 11. What is the remainder when 242 is divided by a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91995 divided by -15.\nAnswer: 6133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 309829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76, 69, 46, 1, -72, -179, -326?\n\"Answer: -a**3 - 2*a**2 + 6*a + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -595.203214 - -595.2. What is i rounded to 4 dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**3*z**4 + 2*f**3 - 2*f**2 + 56578*f*z**4 + 52164*f wrt z.\nAnswer: -4*f**3*z**3 + 226312*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-143)\/11*(-540)\/390\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 167454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1. Let l(n) = -n - 2. Let j(d) = -2*g(d) - l(d). Let r(v) = -2*v + 1. Let c(z) = -z + 1. Let h(t) = c(t) - r(t). Give j(h(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p + 3. Solve -p - 2 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.978*0.4.\nAnswer: -29.5912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1330*c**3 - 5*c + 17*c - 3*c + 379*c**3 - 10*c.\nAnswer: -951*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) 0.4 (c) 1861\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*a = -4*s + 79, 3*s = -2*a + 71. Calculate the remainder when 78 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48692971?\nAnswer: 31, 73, 21517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 72*z**3 + 16*z + 16. Let m(i) = i**3 - i - 1. Calculate 16*m(x) + n(x).\nAnswer: 88*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5108 (base 9) in base 12?\nAnswer: -21b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 14. Let n = -4 + -1. Let v = n - b. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u + 10. Suppose -4*x + 5*y + 4 = 0, 4*x + 2 - 6 = -4*y. Let q be -3 + (0 + x - -9). Solve u*f - q*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from {c: 2, s: 4, w: 1, f: 4, n: 5}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2)*(25*f + 767*f + 575*f)*(0*f**2 - 3*f**2 + f**2 + (1 + 0 + 1)*(2*f**2 + 3*f - 3*f)) as o*f**3 + i*f + l + t*f**2 and give o.\nAnswer: -5468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - u - 14*u**2 + 17*u**2 + 0*u to o*u**2 + x*u + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22383 and -0.3.\nAnswer: -6714.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/15 + 28\/6. Let q(s) = s - 6. Let h be q(10). Find the first derivative of 3 + h*l - 3*l - m wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39396 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let l(u) be the first derivative of -9*u**2\/2 + 3*u + 4613. What is -l(i) - 3*s(i)?\nAnswer: 6*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + y**3 - 4*y**3)*(-2*y**2 + 5*y**2 + 0*y**2) - 21*y - 38*y**3 - 116*y**4 + 120*y**4 + 4*y**5 + 36*y**3.\nAnswer: y**5 + 4*y**4 - 2*y**3 - 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 44*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9080 (b) -5\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 46\/(-8)*12\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 - 3. Let z(p) = 70*p**2 + 54. Let q(b) = 36*n(b) + 2*z(b). Let l(a) = 1295*a**2. Give l(q(w)).\nAnswer: 20720*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/84 + 178\/14. What is the highest common factor of k and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 31*z + 6 + 609 = 0 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Suppose g = -2*a + 3*l + 28, 28 = 2*a + l - 0*l. Suppose 3 = 4*c - 5. Solve n = -r - 2 - c, -2*r + 4*n = a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 670833?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 286 + 118*y + 290 - 576 as x*y + w and give x.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*h = 24*h - 41*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -693411327*b**2 - 762475395 wrt b.\nAnswer: -1386822654*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8511 = -4*t + 39107. Let x = -4638 + t. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 3*o**2 + 5*o. Let f be n(-4). Let v be ((-3)\/(-2) + -2)*f. Suppose -v*p + 5*z = -75, 45 = 3*p - 2*z - 73. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + sqrt(252))*-2 - -2*(sqrt(252)*-2 + -4).\nAnswer: -36*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**4 - 4025*y**3 - 3*y**2 + 2*y + 693 wrt y.\nAnswer: -48*y - 24150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 15*h + 38. Determine i(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 30, 45, 60?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**3 - 11*f**2 - 272*f + 25. What is the ten thousands digit of l(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70*(1\/(-2 + 1))\/((-56)\/3248*-58)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23517912 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153949 = -q + 3*f - 6*f, -5*f = q + 153935. Round q to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -98283*h**5 - 1671897*h**4 - 8667369*h**3 - 14248371*h**2 - 156648*h - 432 = 0. What is h?\nAnswer: -9, -4, -1\/181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6045\/12074 - 4\/6037. Which is the fifth biggest value? (a) 1\/4 (b) 0.2 (c) t (d) 50.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 3:28 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 92 = 11*v. Which is bigger: v or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 32*t**2 - 68*t - 28. Let f be x(34). Let q be (-21)\/(-4) + 63\/f + 2. Solve -25 = -q*i + 4*o, 2*i - o - 14 = -7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -1846295?\nAnswer: -1846297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000076992 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2331568 is divided by 777136?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j - 5. Determine c(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 + -96. What is the highest common divisor of 91 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89641805 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1228\/3, -2, 8587, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 3*z + 3*z)*(-3 + 2 + 6) to b*z + y and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.3 (b) -1\/6 (c) 7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -35, 2\/7, -0.5, 3, 0, 2565?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10230 (base 5) in base 6?\nAnswer: -3110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-12)\/4 + 0 - -117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/7 or 2.614?\nAnswer: 2.614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6606322 at most as big as -46244264\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640 = -12*u + 4*u. Suppose -4*t = 25 - 145. Let r = t + u. List the prime factors of r.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + 1 + 1 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = 4*u + 2, -y + 3*u + 8 = 0. Suppose -1 + y = f. Suppose 0 = a - 2 - f. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01406339812 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 = -0*k. Let w(d) = -d**3 + 9*d**2 - d + 12. Let q be w(k). Solve 4*z = z, -q*z + 2 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 + 126. Suppose 2*v + 4*t + 1080 = 6594, 5*t - y = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5\/4 - 131*v**4\/2 - 3267*v**3\/4 - 3733*v**2\/2 + 259*v + 2490 = 0.\nAnswer: -249, -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 + 3. Let d be n(0). Let b be 2 - (d + -6)\/3. Solve 6 + b = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f + 11*f - 5*l + 35, -34 = -5*f - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/82511662 or 0?\nAnswer: -1\/82511662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11529, -23043, -34557?\n\"Answer: -11514*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-3)\/(-3)*(-2)\/2. Which is the closest to 1? (a) 3 (b) k (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12195 (base 12) in base 13?\nAnswer: b189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 1}. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 15, b: 4}. Give prob of sequence gggg.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5935029.63 to the nearest one hundred thousand.\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e4955 - 118?\nAnswer: 2e483c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) -36.2 (c) 8 (d) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7234 divided by 4\nAnswer: 3617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.400939 and 1.4?\nAnswer: 2.800939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*u - 67 = 0, -21 - 23 = 8*h + 2*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = a - 4 - 27, 3*l = 3*a + 60. Calculate the remainder when 14598\/54 + (17\/3 - (14 - 9)) is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**4\/24 - d**3 - 10*d**2. Suppose f + 6 = -3*v, -4*v - 6 = -v. Give t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2)\/2*14499\/(-86994).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13780 - (-42 + 6)*4\/(-18).\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0345 - -0.0655. Which is the fifth smallest value? (a) 3\/8 (b) 0.2 (c) 1\/3 (d) 10 (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 0*k**3 + 2*k**3)*(-2*k - 4 + 4)*(-166 + 148 - 73 + (-2 + 1 + 4)*(-1 - 1 + 0)).\nAnswer: 194*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c07b1 (base 14) to base 15.\nAnswer: -92099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 6. Let m be n(0). What is the greatest common factor of m and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14662*v + 1 - 340*v**2 + 26*v**3 - 10*v**3 - 14*v**3 - 14664*v in the form j*v**3 + l + y*v + s*v**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 35. Let h = 17.6 - b. What is the closest to -4 in -3, h, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 16*k + 42. Let n be x(13). Suppose 0 = -3*f - 2*i - 74, 3*f + 21 = -n*i - 48. Let w = f - -133. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbzo when four letters picked without replacement from chzcoccohbhhcczchc.\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 11:44 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13245 (base 6) to base 13.\nAnswer: c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f + 18*f + 4*f)*(2 + 1 + 0) + f + 2 - 2.\nAnswer: 97*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 900\/520 - 39\/169\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 3*c = 21, -2 = -2*t - 2*c. Suppose 4*s + 5 = -4*d + 37, -t*s + d = -7. Determine q so that 1 + 2 - s*q**4 + 6*q**3 - 9*q + 3*q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 42*c + 37*c + 17 = 0, 0 = 2*d - 5*c + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 1324*j - 317753. Calculate l(-315).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/25 and 48\/925.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/10992 and -1\/1527888?\nAnswer: 1527888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 748851641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 64. Let w = 8 - x. Let z(d) = 2*d - 2. Give z(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 32 = 4*j, 0*j - 5*j + 20 = 0. Let g be p + -87*(15\/(-9))\/5. Suppose -3*h - h = -5*b + 5, 0 = -h - 4*b + g. Solve 2*s = -3*s + h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 + -2.9. Which is the closest to s? (a) 1 (b) -3\/2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-49 - -47) + 124\/(-144)*-5 and (1572\/(-8))\/(-6*6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769559 greater than 1769648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from uxuxxuuuueuexu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000755 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 7*w + 13. Let o be c(8). Suppose -2*g = 5*i + 3*g - 10, i - o*g - 2 = 0. Factor 2\/5*s**3 - 3\/5*s - 3\/5*s**4 + 1\/5 + 2\/5*s**i + 1\/5*s**5.\nAnswer: (s - 1)**4*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 3*p + u, -u + 2 = p. Suppose -f + 5*q + 4 = -17, -p*f - q = 21. Let k(i) = -3*i - 5. What is the units digit of k(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 648\/13 - 50. Let l = 165 + -154.1. Let i = l - 11. Sort i, -0.2, t.\nAnswer: -0.2, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2.1, 0.09, 3\/2, -1\/4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3828101.\nAnswer: 19, 113, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766517762.\nAnswer: 2, 191, 419, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3417224923 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1281 + 1280.9860375. Let x = 1.2 + -1.186. Let a = k + x. What is a rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -191 - -300. Let c = -71 + y. Suppose 4*t - 2*t = c. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 527535, 12\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21340 is divided by 4264?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 280.9037865 to 2 decimal places.\nAnswer: 280.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1. Let j(y) be the second derivative of y**4\/12 + y**3\/3 - 5*y**2\/2 - y. Let a be 1*(-9 - (-1 + -4)). Give a*u(h) + j(h).\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p**2 + 2*p - 1. Let t(v) = 31*v**2 + v + 2. Let s be t(-1). Suppose -4*l + 2 = -b - 132, 124 = 4*l + 4*b. Let c = l - s. Give u(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 344316230 - -2?\nAnswer: 344316232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*f - 2 + 22 = 0, -4*d - f - 21 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -608 + 1348. List the prime factors of r.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 89*l**2 + 4*l - 111*l**2 to a*l + b + h*l**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 28*a**3\/3 - 13*a**2 - 9. What is the second derivative of j(u) wrt u?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = -3*o + 356, -1372 = 4*q + o. Suppose 3*h = -0*h + 30. Calculate the smallest common multiple of q\/(-28) - 2\/7 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 978916119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*w + 102*w + 94*w - 297*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (122 + 12)*1\/2. Solve -71*z - 4 = -j*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 divided by 50?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2348515383 and 13038?\nAnswer: 6519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*f + 12. Which is the closest to 0.2? (a) f (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + h = -912, -2*b + 2265 = -7*b + 5*h. Let z = -452 - b. Calculate the highest common factor of z and 309.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 2*k**2 + 7*k**2 + (2*k - 2*k - 3*k)*(-3*k + 2*k - k) - k**2 + 3*k**2 - k**2 - 3 - 2*k**2 + 3 as q*k**2 + c*k + a and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767502465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 5*y + 4. Suppose -5*d = -4*g - 2*d + 20, 2 = -3*g - 2*d. Let w be ((-24)\/(-20))\/(g\/(-5)). What is k(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 775, 1545, 2315, 3085?\nAnswer: 3855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.544 in 2\/19, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 7. What is the least common multiple of o and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 219\/(-17) + ((-1008)\/(-612))\/(-14) + -36.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 2. Let f be i(0). Let j(v) = -v. Let g(c) = -c + 10. Let w(n) = -g(n) + 2*j(n). Let k be w(-11). Sort f, k, 0.\nAnswer: 0, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + n)*(2 - 2 - 2) - 3*n - 3*n + 5*n + (-17 + 17 - 4*n)*(-1 + 0 + 2).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h - 4100000. Suppose 4*t = 3*t. Let q be r(t). What is q rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30651, -61306, -91961?\n\"Answer: -30655*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802 is divided by 357?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*q + 7*d - 394, -5*q - 2*d + 963 = 0. Differentiate 9*h + 14*h - 23*h - q - 66*h**3 wrt h.\nAnswer: -198*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*t = 4, 7*f - 5*f - 2*t + 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*i - 2 = 0, -48 = -5*x - 4*i - 46 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.0552537 + 0.3.\nAnswer: 24.3552537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12371918.061 - 9\nAnswer: -12371927.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 491*j*n + 230033*j + 8976*n**4 - 24 wrt n.\nAnswer: 491*j + 35904*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50922168905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2362369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-35)*(-5)\/(-9)*1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -4. Let h = 2.199 + -1.899. What is the biggest value in z, h, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -14 + 0*u**3 + 0*u - 9\/2*u**2 + 9\/4*u**4. Find the second derivative of s(r) wrt r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-5)\/175*(-7)\/3. Which is the closest to -6? (a) -2\/11 (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(288))\/sqrt(2) + 5*(3*sqrt(847) + sqrt(847))**2.\nAnswer: sqrt(7)\/6 + 67760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 1097 - 1496 - 1811 = 0. What is the remainder when 779 is divided by j?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b (base 13) in base 3?\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 52358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 2, w: 1, d: 1, j: 5, m: 4}. What is prob of picking 1 w and 2 e?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -407571 + 260866. Let l = -66597 - b. Let n = l + -180108. What is n rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 - -246. Let j be (-9 + 10)\/(-1*1\/v). Are j and -66 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**6 - 8579*t**5 + 44025*t**2 wrt t?\nAnswer: -240*t**3 - 514740*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 7*h - 7798*s = 4*h - 7801*s + 34, 16 = 8*s for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -87*g - 162. What is the units digit of a(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3620 divided by -1810.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (0 - (-3)\/3). Let m(a) = -a**2 + 0*a**2 - 3*a + j*a. Calculate m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -19 + -28 - (70 + -2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/((-15)\/(-3)) + (-4 - -2) + -502. Which is smaller: k or -521?\nAnswer: -521","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (2 + -39)*17. Let r = s + 1034. Let c = r + -204. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 19 = 5*v, -4*h + 35 - 7 = 4*v. Let j(b) = 2*b**2 - 3*b - 3*b**3 - h*b**3 + 6*b**3. List the prime factors of j(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100416395.\nAnswer: 5, 43, 199, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 56 = 4*g + 5*o, -g + 27 = -2*o. Suppose 5*r - g = 4*s, -3*r + 0*r + 2*s + 11 = 0. Suppose -r*f + 3 = -9. Solve f = -3*j + j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g**2 + g - 1. Let d(b) = 53*b**2 - 6*b - 473. What is -d(h) - 6*z(h)?\nAnswer: h**2 + 479","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46999 is divided by 6681.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*x**2 - 4*x + 3*x**3 + 73*x**2 - 4*x**3 + 2 to the form u*x**3 + a*x + n + j*x**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 + 52*l**2 - 508*l - 849. Determine v(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 695.8468 meters in millimeters?\nAnswer: 695846.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4975067892 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 345 + 158. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - i + 0*i)*(-1040 + 17017 + 6168 - 11712 + 25327 + 17486).\nAnswer: 106492*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8225947943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + b - 1 + (1 + 4 - 3)*(-3*b + 2*b - b) + 1 - 2*b - 1 - 6 - 2*b + 6 + 2*b + 0*b + 0*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from yjgvbybjjyjv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206*s**4 + 71*s**2 - 46*s**4 - 36*s**4 - 66*s**4 - s**3 wrt s?\nAnswer: 1392*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 353 (b) 0.79 (c) -0.0033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -2, 6.7, -5, -3?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*t - 66, 0 = -2*t - 3 + 5. Let y = f + 21. Suppose b - 35 = -5*q + 11, b - 5*q - 26 = 0. Calculate the highest common factor of y and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170 - 165. Suppose 0 = -2*d + 5*d + 15, k*d = -3*n + 5354. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwgwwwgbggwgggwgg. What is prob of picking 1 b and 2 g?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 609385739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2242, -9261, 2 in descending order.\nAnswer: 2242, 2, -9261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -714425980 rounded to the nearest 1000000?\nAnswer: -714000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/1836697 and 29\/324123.\nAnswer: 5510091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 765*z**3 - 1769*z**2?\nAnswer: 4590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/4)*u*u)**(5\/8)*(u**17)**43 assuming u is positive.\nAnswer: u**(23467\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.595 (b) -23 (c) 46.68 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 1)*(-z - 5*z + 3*z) - 5*z + 5*z + 2*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1114*w + 4788*w - 1469*w + 15992*w + 4437*w.\nAnswer: 24862*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 909781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, p: 1}. What is prob of sequence pddd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -423142.9 to the nearest 1000.\nAnswer: -423000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531 = -27*t + 86*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = 2*v - 5*k, 0 = 3*k + 3. Suppose v*j + 11000000 = j. What is j rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19173 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 24. Let h(j) = -4*j - 3. Let m be h(c). Solve -25 = m*l - 3*v - 0*v, l + 5 = v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -21 + 3 + 1*-6 + 3. Let k = o + 26. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s**5 - 22*s**5 + 0*s**5 + (-1 - 8 + 3)*(0*s**5 + s**5 + 0*s**5).\nAnswer: -19*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.8027 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 9*l + 22. Let q be c(11). Let j(u) = -2*u + 102. Let x be j(q). Solve x*k - 17*k + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-252)\/360))\/((-15)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - s = 9, 0*s - 2*s = -5*w + 13. What is the first derivative of 4*y**4 + w - 2*y**4 + 3*y**4 + 3 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/6*((-8)\/8130)\/(100\/250).\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 less than 3724807759?\nAnswer: 3724807645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13523 + 13528. Let z(g) = g**3 - 14*g**2 + 47*g - 8. Give z(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-7) + 4 + 2\/7. Differentiate 0 - 2 - 4*n**a + 26*n**2 wrt n.\nAnswer: 44*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24b5 - -11?\nAnswer: -24a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f**3 - f**2 - f. Let p be c(-1). Solve -p = -3*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 - -32?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -2.36?\nAnswer: 0.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 29*i**2 + 3*i**2 + 1282*i**3 + i - 1281*i**3.\nAnswer: i**3 - 26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 60, 47, 16, -39?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9007*y. Let v(g) = -9*g**2. Determine v(l(h)).\nAnswer: -730134441*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 133643*z + 267301. Calculate b(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1349 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (-31 - (-31 - 26))) + -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 1, -930, -4 in increasing order.\nAnswer: -930, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2204*y = -2207*y - 66 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -10*a**2 - 2. Let p(y) = 7*y**2 + 1. Let o(f) = -7*p(f) - 5*q(f). Suppose 138 = 32*s - 118. Calculate the remainder when s is divided by o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 7*u - 2*u)*(-1208*u**4 - 75*u - 98*u + 173*u).\nAnswer: 7248*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s. Let k be 21\/6 + 3\/6. Let r(h) = k*h + 4*h - 8*h + 2*h**2. Determine r(b(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146774?\nAnswer: 2, 73387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from nzkrrrzrzrkr?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 50035, 99949, 149747, 199429, 248995, 298445?\n\"Answer: -58*q**2 + 50088*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.816 - 0.88693. Round j to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) + 1\/(-3). Let r be (1 + v\/1)\/2. Suppose 5*q + 3*z = -r*z + 181, 0 = 3*q + 5*z - 99. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.25 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxhv when four letters picked without replacement from {x: 1, h: 1, v: 1, t: 1, k: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + (sqrt(320)*4 - sqrt(320)) + 0)**2.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/10 - 3\/5. Let m(z) be the first derivative of 0*z**2 - j*z**4 - 1 + 1\/5*z**5 + 0*z + 0*z**3. Factor m(a).\nAnswer: a**3*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 7*q + 16. Let v(i) = -5*i + 203*i**2 + i**3 - 5*i - 60*i**2 + 17 - 150*i**2. What is v(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a - 32. Let z be g(-14). Suppose 3*o + 3*h = 5*h + z, -o = -3*h - 15. Let r be (o\/9)\/(4\/18). Solve 2*j - r*j = 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**4 - 115*w**2 - 12*w**3 + 11*w**4 - 1 - 3*w**4 + 11*w**3 to the form x*w**3 + g + y*w**2 + k*w**4 + a*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83191, -166518, -249845, -333172, -416499, -499826?\n\"Answer: -83327*v + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p - 5. Let x(a) = 6*a + 6. Let o be ((-5)\/(-7) - 1) + (-165)\/35. Calculate o*j(b) - 4*x(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/194280 and 95\/192?\nAnswer: 1554240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1777732 is divided by 1504.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 12619*v**7\/42 - 325*v**3\/2 - 2*v**2 + 125*v - 1. Find the second derivative of i(o) wrt o.\nAnswer: 252380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-50)\/305*(-1 - -7*4\/24) and -14\/11.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 9*b**2 + 13*b - 40. Let m be z(8). Solve 3*a = -p + 4, a + 17 = -m*a - 4*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m - 2*m**2 + 9*m - 6*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2164636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0) + 1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22753 and 23872?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Suppose -3*v - x*w = -2*w - 1243, 0 = -5*v - 5*w + 2080. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(1*sqrt(35)\/sqrt(5)) + (sqrt(1008) - 6*sqrt(1008)*3))**2 + -5.\nAnswer: 288458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 2. Let v = 4.92 - -0.08. Which is the smallest value? (a) t (b) v (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 58. Let h = -24 + d. Suppose 4*y - 5*q = -20, -q = 2*y - 0*q - 4. Which is the smallest value? (a) 1 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 2744*o**2 - 545760*o + 3174912.\nAnswer: 4*(o - 156)*(o - 6)*(o + 848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*a = 16, 3*y + y - 2*a = 0. Suppose y*v - 18 = 24. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 - -0.8. Let m = i - -17.5. Is m bigger than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -78. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.09999 + -4.1. Round v to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92383370.\nAnswer: 2, 5, 1499, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 16. Suppose -3 = 5*h - 18. Suppose 4*a - 3*b = 25, -5 = -5*a + h*a - b. Solve a*o + c = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 6. Let v(l) = -3. Let t(x) = 7 - 1 + 1. Let n(d) = -2*t(d) - 5*v(d). Let w(b) = h(b) - 6*n(b). What is w(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from tbbtttttbtttttt.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 - 3*o**2 + 2*o**2)*(-3 + 2 - 1 - 1 + 0 + 0 + (-4 + 3 + 2)*(3 - 2 - 2)) - o**2 + 0*o**2 + 0*o**2 as k + a*o + v*o**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-113 + 165*g + 134*g - 300*g)*(2*g**2 - 5*g**2 + 0*g**2) as w + s*g**2 + z*g + j*g**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47412 + 94853 - 47441 + 11958*h)*(-3 + 2 + 0) to i + l*h and give l.\nAnswer: -11958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37\/5 of a meter?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 3*n**4\/2 + 321*n. Let j(b) = 23*b. Let s(g) = -8*g. Let w = -10 - -4. Let p(q) = w*j(q) - 17*s(q). Give o(p(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 3.21636.\nAnswer: -32.1636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {s: 1, c: 2, o: 2, l: 3, h: 1, n: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1047 (base 8) in base 6?\nAnswer: -2315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 102\/8 + -2 - 5. Let l = 2 - 3.3. Sort 2\/7, m, l in decreasing order.\nAnswer: m, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. Let q(n) = -526*n + n**2 - 60 - 145 - 479*n + 1005*n. Determine s(q(u)).\nAnswer: u**4 - 410*u**2 + 42025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1656 and 1203354?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47508849863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 285 + -111. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = f - 96. Calculate the remainder when f is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 17. Let q(g) be the third derivative of g**5\/60 + g**4\/8 - g**3 - 123*g**2. Let o be q(-3). Determine r(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5138792766, 5138792765, 5138792764, 5138792763?\nAnswer: 5138792762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91\/4 - -47\/4. Let a = 108407553\/16711868 - 4\/219893. Let c = -29\/38 - a. Find the common denominator of r and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-429))\/((4\/13)\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 8*c - 8. Let g be b(6). Let h = -1302541 - -1302627. Calculate the remainder when h is divided by (-29)\/g*-4*1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1344*a**2 + 116938*a - 848. Determine q(87).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 8:59 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + v - 2, -3*s + 1 = 2*v - 1. Let b be (-3)\/(-8)*(0 + s). Suppose 19*c - 15*c + 16 = 0. What is the closest to 0.1 in c, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 97 - (13 - 4) - -1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (568 - (4 - 2)). Suppose -5*c - 4*q + r = -0*c, -232 = -2*c - 5*q. Suppose -5*j + 2*h = -c, -2*j + 2*h + 20 + 22 = 0. Is j <= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55526 by -475.\nAnswer: -55526\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1055 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*f**3 + 876*f**2 - 7455*f + 2058 = 0. Calculate f.\nAnswer: -49, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3071 less than -24579.0704?\nAnswer: -27650.0704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*b - h - 9, 3*h = 9. Let x(a) = -a + 3. Let s be x(0). Differentiate 2 - f**s - 2 - b + 3 with respect to f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31809 or -2209?\nAnswer: 31809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825029084 to the power of 1\/3, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/(-5) + (-6 - -7) + (-690)\/69.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -4 + (-1 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/14*(-60088)\/3219?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/17, -6, -2\/5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01628 + -19.04028. Let l = -0.024 - h. Let t = -18 + l. What is the closest to -2\/3 in 0, t, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 19. Which is the closest to -1? (a) -2\/5 (b) -6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {m: 3, s: 3, p: 3, o: 3, w: 4}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/2)\/(-30))\/((132\/30)\/11)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -957 - 1188. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012301 (base 6) to base 7.\nAnswer: -544255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -128391160 divided by -33505\nAnswer: 3832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/16 and -81\/227361226.\nAnswer: 1818889808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23980.99km to millimeters.\nAnswer: 23980990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 16) to base 10.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/60 + 3*u**4\/8 + 14*u**3\/3 + 2757*u**2. Give r(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by -7.\nAnswer: -150\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-6) - (-15)\/6 - -1. Solve 4*i - 2 - w = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:24 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-833)\/51 - -14) + (-2)\/(-3). Solve 4*h + g*h = 68 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j. Let l(d) = 195*d**2 + 1658*d - 1. What is l(a(k))?\nAnswer: 12480*k**2 + 13264*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 752 - 284 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 19*k = 18*k - 13, -5178 = 5*b - 4*k - 5126 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8509 + -3342. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4 + (-4 + 2 + 1)*(0 + 2 - 1) + 0 + 2 - 3 + (-1 + 5 - 3)*(-3 + 1 - 4))*(4*s + 0*s - 5*s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23510812 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 + 2*w - 3*w + 8*w**2 - w**4 in the form q*w**2 + h*w**4 + l + i*w**3 + p*w and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6678492 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/11)\/f*f**(19\/5))\/(f**(-1\/7)\/(f**(-2\/97)*f)) assuming f is positive.\nAnswer: f**(136291\/37345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 537, 619, 685, 729, 745, 727, 669, 565?\n\"Answer: -u**3 - 2*u**2 + 95*u + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 + -1130?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -2014308?\nAnswer: -2014308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 27*l**3 + 12*l**2 - 2*l + 18. Is y(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2.735 (c) 0.128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -839, -559, 1123, 4675, 10565, 19261?\nAnswer: 31231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 6*c. Suppose i - f = f + 8, c*i + 8 = -4*f. Factor 2\/5*z**i + 0*z - 1\/5*z**4 - 1\/5 + 0*z**3.\nAnswer: -(z - 1)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 7*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 105 = -8*o. Let q = 61 - o. What is the units digit of q\/3 + 1\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1010, -0.1, -1\/110, -3 in increasing order.\nAnswer: -1010, -3, -0.1, -1\/110, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 605, 904, 1201, 1496, 1789?\nAnswer: 2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 59285358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3 - 5. Let n be 1\/(3\/v*(-14)\/(-483)). Suppose r = -n + 133. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16342, 16473, 16728, 17137, 17730?\nAnswer: 18537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o + 12. Let b be ((-36)\/o)\/(6\/(-20)). Calculate the highest common factor of b and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -1\/9*h**3 + 0*h**2 + 0 - 1\/18*h**4 - 180*h. Factor c(g).\nAnswer: -2*g*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11188167731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {a: 1, h: 1, i: 3, o: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -49. Let d be ((-2)\/2)\/(1\/(-3)). What is the derivative of t**3 + t**3 + 1 + 3 + l*t**d wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*p + 2*b - 146, b = -5*p + 362. Let a be 41\/(451\/66) - 4. Suppose a*l - p = 142. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + -103. Suppose 5*u + 642 = 4*c + 2129, -c - 1493 = -m*u. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 1:13 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2 + 88 + 10*u**2 - 12*u**2 + u**3 + 60*u**4 wrt u.\nAnswer: 240*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 135455600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 11 + 51 - 2*j - 3*j - 13*j. List the prime factors of h(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*f - 5*f = 0, -4*j = -3*f - 4. Suppose j*t + 0*t - 80 = 0. What is the lowest common multiple of t and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 10*s - 6. Suppose r + 2 = 3*w - 38, -5*r = 5*w - 60. What is the units digit of m(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {k: 5, i: 9, s: 1, y: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 112 = -475. Let b be 7 + (-4362)\/v + (6 - 1). Is b bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/15)*b**4*b**(1\/2)\/b**(2\/21))\/((b\/b**(-2))**(-21)\/(((b**(2\/11)*b)\/b)\/(b*b**(-7\/4)))) assuming b is positive.\nAnswer: b**(106573\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5688*3.\nAnswer: -17064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 43. Suppose 0 = -3*v + 4*r + 44, -4*r + r = -3*v + b. What is the units digit of 3 + (-30)\/v - 374\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16*m**2 - 209*m. Let l(p) = p. What is t(l(o))?\nAnswer: 16*o**2 - 209*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 greater than or equal to 673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21005889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -66 + 91 - (39 - -2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4 + 2. Suppose -5*r + y = -27. Calculate the remainder when (8 - 20)*-1 - (3 + 1) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:27 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4478568.8 to the nearest ten thousand.\nAnswer: -4480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/3, 20\/31, -25?\nAnswer: 20\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/31, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*a + 2*d + 191, -297 = 3*a - 2*d. Let h = -11 + 123. Let j = h - a. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6002, 13606, 26270, 43988, 66754, 94562, 127406, 165280?\n\"Answer: -t**3 + 2536*t**2 + 3*t + 3464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.12, -4, -5, -6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 738400 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203 + -163. What is the greatest common divisor of 100 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(121)*-3*3 - sqrt(121)) + sqrt(121) - sqrt(121))\/(sqrt(11) + sqrt(132)\/(-2*sqrt(12))))**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -17*n + 6. Let t = 25 + -54. Let x = t - -25. What is the tens digit of l(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.9 + 11.9. Put 1, c, -3, -2\/13 in ascending order.\nAnswer: -3, -2\/13, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 15*z - 29. Let l be o(21). Suppose -4*k = -3*i + l, -93 = -3*i - 0*i + 3*k. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*n - 145*n = -9*n - 3495 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-35) - (-127)\/7. What is the highest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*z + z = 0, -8*t = -3*t + 3*z + 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 299606502 to the power of 1\/2, to the nearest integer?\nAnswer: 17309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1378800 to the nearest 10000.\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98846 in -2\/19, 6, 2\/19, -0.8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12797118 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16837117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 118.05545938+0.6\nAnswer: 118.65545938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11 - 1 = 0. Let y(d) = d**p + 0 + 3*d**2 - 6*d - 4 + 3*d**2. Let c be y(-6). Calculate the greatest common divisor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3133050 + -4554?\nAnswer: 3124052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.07196 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618 + 2525 + 5065 - 1590 = 117*p for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 5*m**2 + 17*m - 18. Calculate the remainder when 127 is divided by c(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -3*q**7\/35 + 19*q**4\/24 + 17*q**2. What is the second derivative of a(x) wrt x?\nAnswer: -216*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*((g\/(g\/(g**14*g)))\/g)\/g*g*g**(7\/4)\/g*(g**(-2\/15))**32 assuming g is positive.\nAnswer: g**(689\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 6. Let a(f) = -143*f - 9. Give -a(r) + 2*s(r).\nAnswer: 141*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 586, 1351, 2464, 3949, 5830, 8131, 10876?\nAnswer: 14089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.03 + -18. Suppose -4*x + 17 - 5 = 0. Put u, x, 0 in descending order.\nAnswer: x, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 10. Let q be b(5). Suppose 0 = -i + 3 + q. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -4*s + 476. Let h = -128 - -134. Calculate the remainder when s is divided by (0 - -18) + 2 + h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396\/(-54)*(-417)\/2.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 3219?\nAnswer: -3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41*3*(-1591)\/4773.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 759 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: Evaluate 170\/(-6)*((-31)\/((-744)\/36))\/(5\/(-2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 159\/(-49) + (36\/4 - 6). Let l be (-13)\/147 - (2 - 1). Let x = l + q. Does 0 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12460 by 178.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 49\nAnswer: -20\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13330000313 (base 4) to base 2.\nAnswer: -111111100000000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 58*h + 156. Let n be f(26). Solve -15\/8*t**4 - 3*t**3 + 3\/4*t + n - 3\/8*t**2 = 0 for t.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 + -210. Put c, 16, 7, -0.5 in descending order.\nAnswer: 16, 7, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 - (-2 + 9 + 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 378 - 378)*(-3 + 3 - 2)*(10*o + 4*o + 9*o) to the form v*o + z + f*o**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 6 + 2 = 2*u, 11*d = 3*u + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/15)\/(p\/(p*p**(-38))))\/(p*p**(2\/5)*p**3) assuming p is positive.\nAnswer: p**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0964 + 0.0764. What is the nearest to -4 in 0.3, n, 2, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.29 and -0.79.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 15 = 4*g. What is the first derivative of -2*d**2 + 12*d**3 + 7*d**2 - g*d**2 + 14 wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 4*a**2 + 2*a - 6. Let y be n(4). Suppose 0 = y*w + 2*b - 38, -4*b + 2*b = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*a - 5835 = 4083 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {v: 2, o: 1, l: 2, r: 2, i: 3, c: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0369786043 to six dps.\nAnswer: 0.036979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-65)\/55) + 53\/11. Let g = 162 - 171. Sort 3, s, g in increasing order.\nAnswer: g, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f**2 + 6*f + 5. Let y = 28 + -34. Is p(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s - 1. Let k(o) = -15*o - 2. Let f(t) = 4*k(t) - 11*q(t). Find the first derivative of f(p) wrt p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-97)\/(-1) - -1. Let y = -65 + v. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 970 + -969. Suppose 4 = 3*y - 2. Suppose 57 = y*i - u. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80327 + 80327.051609. Round v to four decimal places.\nAnswer: 0.0516","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s**2 + 8513*s - 33911. What is p(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9843502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 + 63*t - 220. What is l(-22)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231) + (1*sqrt(231) - sqrt(231)))\/sqrt(7))\/(sqrt(11) + (sqrt(11) - (sqrt(704) + sqrt(704)*4 + sqrt(704) - sqrt(704)))).\nAnswer: -sqrt(3)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45\/2, -9, 2512\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 4, x: 4, v: 1}. Give prob of sequence xv.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4\/2 - 21*c**3 + 984*c**2 - 7168*c - 18432 = 0.\nAnswer: -72, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.4, 3, 0.2, -6 in descending order.\nAnswer: 3, 0.2, -0.4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 - 6*z**2 + z + 4. Is b(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-45)\/u**(9\/10)*(u**0)**(18\/5) assuming u is positive.\nAnswer: u**(-459\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*r - 5*j, -r = -2*r + 4*j + 29. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/3164 and 61\/4068.\nAnswer: 28476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -f - 2277, 4*v - 284 = -f - 2561. Let g = f - -4016. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 1954866118?\nAnswer: -1954866117.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2 - 10*y + 48 = 0?\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 8*y + 1. Let a(v) = 4*v**2 - 17*v - 1. Let c(j) = -4*a(j) - 9*i(j). Let x = -5 + 10. Is c(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.251397g in micrograms?\nAnswer: 2251397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10*745\/19668*-2409?\nAnswer: 73\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (10\/(-20))\/(2\/(-20)). Solve -i = 4*i + m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79201 = -4042*j + 82479 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37365 - (7 + (-10)\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + 13*i - 13. Let w be t(3). Calculate the common denominator of 3\/w*(-1 + (-1588)\/72) and -41\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v - 32*v - 2 = 2*t, -2*v = -t - 1. Sort t, -14, 0 in ascending order.\nAnswer: -14, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, q: 5, b: 2}. What is prob of picking 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 minus 0.2198?\nAnswer: -193.2198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (6*sqrt(175)*2)**2 + sqrt(175).\nAnswer: 5*sqrt(7) + 25197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84645102 by -28215034.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1014 by 26.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcr. What is prob of picking 1 r and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 640*z**3 - 2*z**4 - 639*z**3 + z**2 + 9 + 4*z**4 + 0*z**4 in the form c*z**2 + n + p*z**4 + r*z + i*z**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1312, -1297, -1272, -1237, -1192?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d + 6. Let y(c) = c - 1. Give 2*j(z) + 11*y(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 796*n + 27 - 2 + 2029*n in the form y + b*n and give b.\nAnswer: 2825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 628969, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -1\/8*t**4 + 0 + 80*t**2 + 0*t + 1\/6*t**3 - 1\/15*t**5. Determine y(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 0*n**2 + 4*n**2. Let r be (-360)\/24 + (5 - -1). Let y(m) = 7*m**2. What is r*d(h) + 4*y(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 8) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 294*j**4 - 1952*j**2 + 291019*j - 5?\nAnswer: 3528*j**2 - 3904","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awwa when four letters picked without replacement from {w: 17, a: 3}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3599.365061 rounded to 1 decimal place?\nAnswer: -3599.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 543867 divided by 115.\nAnswer: 543867\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 1189*a**2 - 12 - 1 - 1 as d*a**2 + i + r*a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/5)\/u**(4\/7)*(u*u**(-4\/9))\/u*u**(1\/5)*u)\/(u*(u*(u**(-4\/5)*u*u)\/u)\/u*(u**(1\/4)\/u*u)\/u*(u*u*u**(-7)\/u*u*u)\/u**3) assuming u is positive.\nAnswer: u**(7477\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 4. Let d(h) = -h - 1. Let u(j) = 2*d(j) + l(j). Let s be u(2). Let i be 11\/(2\/(-16)*s). Do 22 and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618682068 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 330 = -3*t. Let h be (-32)\/t + 10\/15. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067162346 rounded to 6 dps?\nAnswer: -0.000672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -z - 9, 5*d + 2*z - z - 23 = 0. Suppose g = 10*g + 2430. Let w = 274 + g. What is the highest common factor of d and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*p\/(p\/(p**(2\/9)*p)))\/p)*p\/p**(-2\/29)*(p**10)**(-1) assuming p is positive.\nAnswer: p**(-2389\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + 88\/12. What is u in -2*u**2 - k - 5*u - 4*u - u = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 12*u - 15*u + 10329, -u + 3447 = 3*b. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 10 = -4*r + 2*l, -25 = -3*r - 5*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4226*t - 4220*t + 16885*t - 4210*t + 1 - 4225*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 19*k**2 + 2*k + 34. Let l be i(-19). Let p(b) be the first derivative of b**4\/4 + 4*b**3\/3 + b**2 + 2*b - 1. Calculate p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -11 - -2) + (13 - -3 - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -169. Let t = 182 - r. What are the prime factors of (-5)\/((-10)\/456) + t\/(-42)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 26 - 47*q + 51*q - 2*q**2 + 7*q + q**2 + 2*q**2. What is f(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*b. Which is smaller: b or -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/30 - 7*m**2\/2 + 4*m. Let x(w) be the first derivative of f(w). Let z(y) = -15*y**2. What is z(x(v))?\nAnswer: -60*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15758, 31450, 47142, 62834, 78526?\n\"Answer: 15692*b + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 13 = n, 3*n + 21 = -v + 8*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/175)\/(-2 - (-17)\/10). Let o = 22.49 + -21.99. Let d = 1 - 2. Which is the closest to d? (a) o (b) 2.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*s + 12959 + 29796 = 5475 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(363))**2 + sqrt(3) + 5*sqrt(363).\nAnswer: 56*sqrt(3) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4531604, 4531605, 4531606, 4531607?\n\"Answer: c + 4531603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 45 - 43 = 0. Suppose x = 5*k - 4*l, 0*l = -k - 4*l + 32. Calculate the lowest common multiple of 22 and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 4*x**2 - 21*x + 24. Suppose -3*h + l + 4*l + 19 = 0, 21 = 2*h + 5*l. Calculate the remainder when m(h) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63329579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 244\/(-4) - 333743\/(-4021)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 11 = -6*r - 3 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234728 is divided by 1052.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -51.18 and -1288070126?\nAnswer: 1288070074.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064 = 5*y - q, y - 224 = 2*q + q. Let m = y - 2330\/11. Is 0.1 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**4)**(2\/123) assuming w is positive.\nAnswer: w**(-2\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**3 + 5*c**3 - c**5 + (-9*c - 4*c - 40*c)*(0*c**4 - 4*c**4 + 0*c**4).\nAnswer: 211*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 415.337 + -415. Let h = v - 0.237. Let q be (0 - 4)*2\/(-10). Is h > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 - 6*o**2 - 89*o + 5 + 90*o)*(-3 - 3 + 1).\nAnswer: 5*o**2 - 5*o - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38284*0.3\nAnswer: 11485.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.806 and 0.4.\nAnswer: 8.3224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-3)\/(-4)*(-4)\/6). Which is the smallest value? (a) -0.7 (b) v (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-5\/4))\/z**(1\/3))\/(z**5*z*z\/z**(2\/21)))**40 assuming z is positive.\nAnswer: z**(-6290\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 133168559 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 399 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2397.08 + 0.0985?\nAnswer: -2396.9815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/8 + 5)\/(5\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 240 + -238. Let g(b) be the first derivative of 0*b**f + 0*b**3 - 2\/3*b**6 + 0*b - 4\/5*b**5 - 13 + 0*b**4. Factor g(p).\nAnswer: -4*p**4*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -28, -40, -52, -64?\n\"Answer: -12*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - k = 2*k - 36, 18 = -t + 3*k. Let q be -3*(-6)\/t + 2. Let b be (-2)\/(-8) - ((-522)\/24 - 3). Solve -4*j - j - b = q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 328 * 34.35.\nAnswer: 11266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + -1 - 1 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6011, 11915, 17819, 23723?\n\"Answer: 5904*j + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -59, -61, -65, -71, -79, -89?\n\"Answer: -z**2 + z - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((8220\/35)\/(-6))\/(26 - (-3496)\/(-133))\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 3) + (-12)\/(-3). Suppose 0*x = -v*x. Suppose 4*s - 1296 = 4*q, 4*q = 3*s - x*q - 976. Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3) + -2)**2 - (sqrt(30)\/sqrt(10)*-3)**2.\nAnswer: -20 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 - 28*v**2 + 29*v - 21. Let c be u(13). What is the highest common factor of 144 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 11. Let o(s) = s**3 - 2*s - 6*s**2 + 0 - 2 + p*s. Suppose -270 = -62*b + 8*b. What is o(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w - 5670420 = -103*w + 19*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8520, -16987, -25454, -33921?\nAnswer: -42388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/220*-11*-34\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1143 and 254?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(12)*-1))**2 + 2 - (-1*sqrt(32) - sqrt(2))*4.\nAnswer: 4 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/10 + (-111)\/(-15). Let u = -241 + 231. Let v be s - (2 - u\/5). Solve a - 2*w = 1, -5*a + a + v*w + 12 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*p - 105, 4*x + p - 94 = 31. Solve 4*a = 3*n - 20, -2*a + 5*n + 8 = x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*k**4 - 38*k**2 - 1201*k**3 - 7*k + 2*k - 727*k**4 + 1201*k**3 wrt k?\nAnswer: -18312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3\/5 (b) -1 (c) 17 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(((-128)\/16)\/(-96))*-5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 406, 9.\nAnswer: -3, 9, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.3 and -13.\nAnswer: 94.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -75 - 135. Let r = 238 - z. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 4:41 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30180106 and 11179?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 268*p + 107*p - 98*p - 37*p + 375*p as i*p + f and give i.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 12:14 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5212500 and 312?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 86439 (b) -4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:36 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6117 (b) -1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 6*z**2 - 151*z + 43. What are the prime factors of s(25)?\nAnswer: 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3362*p + 1096 = 175920 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-4300)\/(-340) - (-1247)\/(-17)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(72) + -1 + (sqrt(72) + 5 + sqrt(72) + sqrt(72))**2)*1*-1.\nAnswer: -677 - 186*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -368 + 365. Let x(v) = -v**2 - 2*v - 1. Let w be x(-1). Which is greater: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 287*y - 112*y - 3 + 81*y.\nAnswer: 256*y + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 27\/(2\/(-4 - -6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073211 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -1\/2*r**2 - 2 + 0*r + 1\/3*r**3. Factor y(l).\nAnswer: l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 + 22135*u + 199112. Calculate x(-9).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -43. What is the third derivative of -1 + 1 + 13*f**4 - i*f**2 - 22*f**4 wrt f?\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27075808.23 rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 4. Let j be c(5). Suppose -i = -3*w + 12, 5*w + 12 = -4*i + 49. Calculate the smallest common multiple of i and 8 - (1 + j + -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 2\/2)*8\/(-3). Suppose 0 = 5*j - j - 52. Suppose -j = -5*d - 2*o, 3*d - t = -5*o + 15. Is d less than 1\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 29. Let y(c) = -2*c + 87. Let k(m) = -3*l(m) - y(m). Let n(g) be the third derivative of -g**5\/6 + g**2. What is k(n(a))?\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + t + 4. Let x be g(-4). Let s(i) = -i - 8. Let f be s(x). Solve -k - 5*z + f = 34, 3*z + 19 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/1400 + (-136)\/(-50))*-1*60\/3.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8047, -16099, -24153, -32209, -40267, -48327?\nAnswer: -56389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 11:01 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -5.6. Let y = 4 - 9. What is the third biggest value in y, t, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 37. Calculate f(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = x - 15, -x + 19 = 5357*u - 5352*u for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11914 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3341999 to the power of 1\/2, to the nearest integer?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.42, -0.1, 0?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 140 = -45*t - 244 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 832, 842, 852, 862, 872, 882?\n\"Answer: 10*u + 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + 3*d**3 + 0*d**3)*(1 + 0 + 1)*(-2 + 5 - 5).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {h: 3, z: 1, d: 3, t: 3, p: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 3\/(-3))*-1. Let c be (0\/4)\/(-1*w). Let f = -6 + 7. Is f less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (167\/167)\/(((-7)\/(-10))\/(-7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -24 + 75 - 39 - 7.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*i**5 + 30589*i**2*l**2 - 5239368*i*l**2 - 3*l**2 wrt i?\nAnswer: -1080*i**3 + 61178*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 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: Let t(i) = -i**3 + 14*i**2 - 9*i - 65. Calculate t(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -33\/8, 2\/7, -1\/2, -0.4.\nAnswer: -33\/8, -2, -1\/2, -0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0*a**3 + 0*a**3 - 17*a + 2 - 10*a**2 - a**3. Let b be y(-8). Calculate the highest common divisor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 24*h + 45. Let l be n(22). Sort l, -2\/5, 4\/7, -0.1 in descending order.\nAnswer: l, 4\/7, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -778, -2609, -6174, -12055, -20834, -33093, -49414?\nAnswer: -70379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + d + 1 = -26, 5*d - 33 = -4*r. Solve -r = 3*j + 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 7*q + 2. Let b be m(5). Calculate the remainder when 8 is divided by 80\/4*(-2)\/b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*o - 36*o**3 - 487*o**3 - 1066*o**3 - 105*o)*(1 - 1 - 2*o).\nAnswer: 3178*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.1 + -18. Let g = 6.9 + o. What is the third biggest value in -10, -5, g?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -48. Let z(x) = 5*x - 4*x + x**t - 11 + 14. Calculate the least common multiple of 54 and z(0).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170497411?\nAnswer: 7, 71011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 8. Let a(t) = 2*t**2 - 1961*t - 336. Determine a(p(b)).\nAnswer: 2*b**2 - 1993*b + 15480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 63*w - 29. Calculate m(23).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/210*7)\/((-11)\/20460*4)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -57*-2*(-3)\/(-6).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by 6?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d. Let f(x) = 130181114*x. Determine i(f(k)).\nAnswer: 390543342*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2284, -4586, -6886, -9184, -11480?\n\"Answer: v**2 - 2305*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**4\/4 + 10*m**3\/3 + m**2 + 13*m - 60. Is d(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.8 - -14.3. Let d = t - 9. What is the nearest to 3\/4 in 2, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18025 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*r - 0*a - 355, -2*r + 4*a = -210. Let l(u) = u**3 + 31*u**2 + 84*u + 39. Calculate the remainder when r is divided by l(-28).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000515516 to five decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 694207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 153 + 11 = 2*g, 4*g = -p + 307. Suppose 7*f - 3*f + 4*q = 32, -3*f = -5*q - 48. Calculate the remainder when g is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(95) - (sqrt(95) - (sqrt(95) + (sqrt(95) - 2*sqrt(95)*5))))\/(sqrt(80) + sqrt(80) + -1*sqrt(80)*-2).\nAnswer: -sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 - ((-248 - -68) + 161)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9024.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 1135 - 2645. Let k be (-3699693)\/y + 2\/7. Let o = k + -2935. What is the common denominator of 73\/28 and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 632, 1070, 1922, 3326, 5420?\nAnswer: 8342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = 3*z + 12, -5*f = 2*z - 7. Suppose 28 - 40 = f*y. Put -1\/9, -5, y, -0.4 in descending order.\nAnswer: -1\/9, -0.4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + 4\/10. Suppose 0 = 4*r - 23 + 3. Suppose 11 = r*f - 4. Solve -f*k - 3 + 15 = v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377248278 to the power of 1\/3, to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 72*f.\nAnswer: -2*f*(f + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20240*b - 20409*b = 507 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 17. What is p(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 2*v**3 - v + 2 + 4*v**3 - 9*v**3. What is r(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 23*t - 1. Let j(h) be the third derivative of 23*h**4\/24 - h**3\/6 - 80*h**2 - 8*h - 3. Give -4*j(v) + 3*n(v).\nAnswer: -23*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012065547 to 6 dps.\nAnswer: 0.012066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 10:12 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35994904 or 5\/2?\nAnswer: 35994904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 23*w**2 - 51*w - 25. Let i be k(-25). Solve i = 5*c - c + 3*y + 20, 20 = -4*c + y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*r*u**3 - 3*r*u**2 + r*u - 25*r - 292437*u**3 wrt r?\nAnswer: -11*u**3 - 3*u**2 + u - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -11*p - 140. Let n(y) = 4*y + 46. Determine -8*n(j) - 3*x(j).\nAnswer: j + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -1366?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71, -234, -497, -860, -1323, -1886, -2549?\n\"Answer: -50*h**2 - 13*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23828 and 276575.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 4*u + 2*u**3 + (-1 - 1 + 0)*(-2*u**3 + 10*u - 10*u) as o*u**2 + k*u + v*u**3 + g and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/354607 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let b(c) = -2415*c**2. Give r(b(w)).\nAnswer: -4830*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -20\/3, 0.12, 4, -0.4, -1, 89.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) + 6\/(-21). Let n(w) = w**3 + l*w**3 - 9 + 2*w - 5*w**2 + 2. What is the units digit of n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22221111020000 - 10?\nAnswer: 22221111012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4 + 1790*p**3 - 10788*p**2 + 21608*p - 14416 = 0. What is p?\nAnswer: -901, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 138 = -q. Is 37 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(468) + 1*sqrt(39)\/sqrt(3) - 1*((sqrt(117) - -5*((-1*sqrt(117))**2 + sqrt(117) - sqrt(117))) + sqrt(117))) + -3 + 3.\nAnswer: -585 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z + 0 - 14\/3*z**2 + 2\/3*z**3.\nAnswer: 2*z*(z - 6)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4275066 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339799 - 18108520.6.\nAnswer: -18448319.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 574 (base 8) to base 14\nAnswer: 1d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 4*m - 5*f, -f = 3*f + 8. Let k(l) = l**3 + 15*l**2 - l - 15. What is the tens digit of k(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 182 = -292 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 29. Let t = 29 + v. Let g be 4\/14 - 144\/14. Is t >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -376.8 - -377.3754. What is g rounded to 2 decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 1 - 4*x + 63078*x**2 + x.\nAnswer: 63078*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/8)\/((-732)\/(-976))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 1. Let i be t(1). Suppose -p = -1, 5*p = -2*x - 0*p + 15. Suppose -2*b = -4*b - 6. Put x, b, i in ascending order.\nAnswer: b, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - 0) + -4 - 8) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and -80.68674.\nAnswer: -1371.67458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (5 - 3) + (22 - 41)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-43 + 30)) + 2 + -43\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = -23*g + 2. Suppose g*r - 2*t = -t + 9, 5*r - 4*t - 30 = 0. Suppose -r*p - 787 = -3*b, 3*b - 547 - 236 = 3*p. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -970 - -972. Suppose f - p*f = 5, -2*d = f + 29405. Round d to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4533.835177 to the nearest 100.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 554\/4 - (-3)\/6. Let f = -18 + b. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17004 divided by 13\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 15*c - 78 = 0. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01476573 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 10:12 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 > -1.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:16 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -132368 and -1.56.\nAnswer: -132369.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + (-189 + 1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 24. Let t(m) = -m - 12. Calculate -3*j(r) - 7*t(r).\nAnswer: -2*r + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111381 is divided by 681.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -i + 10, v + 0*i - i + 4 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0130348553 rounded to five decimal places?\nAnswer: -0.01303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37653 and 1353715?\nAnswer: 28428015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**10\/196560 - y**9\/49140 - y**4\/3 + 12*y. Let c(i) be the third derivative of h(i). Factor c(d).\nAnswer: 2*d**4*(d - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 2*v - 15*v)*(-4 + 2 + 13) + 3*v - 4*v - v to the form o*v + x and give o.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443547748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 1. Let m be l(0). Sort 0, m, 3.\nAnswer: 0, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 2*d**3 + d**3 - 2*d**2 + 3*d**3 + 2*d**2 + (d**2 - 4*d**2 + 2*d**2)*(0*d + 0*d + 2*d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39310 is divided by 37?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -34580.\nAnswer: 3\/4940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y = -58*y - 2*v + 16, 0 = -3*v + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943994212.\nAnswer: 2, 7, 4816297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89920034 not equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 4\/7 (c) -2 (d) 0.01838 (e) 2\/5 (f) -26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -910 + 918. Let c = -11 - -12. Calculate the greatest common factor of v and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 8, 9762, 4\/3, -1 in decreasing order.\nAnswer: 9762, 8, 4\/3, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-15)*(-3)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1243 - 1587 + 2830 - 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24050 (base 11) in base 9?\nAnswer: -52482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - sqrt(1584)*1) + 1 + (sqrt(1584) + -1)*-3)**2.\nAnswer: -288*sqrt(11) + 14272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 552951 and 90?\nAnswer: 5529510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(66)\/(sqrt(6) + (sqrt(6) - (sqrt(18)\/sqrt(3) + sqrt(6) + sqrt(6)))).\nAnswer: -sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by -4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 19625 - 2586. What are the prime factors of l?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - m - 9 = m, 2*o - 1 = 3*m. Suppose s = o*s. Suppose -x - 32 = -5*x - 3*d, s = d - 4. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280 divided by -35\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -u - 4, -2*u + v + 20 - 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**3\/3 + 11*w**2 + 51*w - 943. Calculate h(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -6*a**3\/11 - 210*a**2\/11 - 1884*a\/11 - 1680\/11 = 0.\nAnswer: -20, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -15*s - 3. Let i be z(-1). Let j = -8 + i. Solve 0 = -p - j*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*z + 93, 5*m - 25 = -0*m. Let n be z\/21*2\/16. Let a = n + -289\/28. Find the common denominator of 49\/11 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467*h - 1885104 = 315*h. What is the remainder when h is divided by 157?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/(234\/27)*(-4)\/(-3). Suppose -3*y + 2892 = 3*v, w*v + y - 692 = 1231. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 15) in base 8?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74596 and 276.\nAnswer: 5147124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59\/320 + 1\/64. Put 0.1, l, -0.5 in increasing order.\nAnswer: -0.5, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1320 (base 5) to base 6\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -10.009. Let w = -0.8193 + 0.82. Let k = i - w. Round k to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 426113207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349382620?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 4*g**2 - 6*g + 7. Let p be t(5). Let k(w) = 3*w + 70. Let l be k(-23). Let a be -5 + l + (-6 - -7)*7. Put p, 0, a, 4 in decreasing order.\nAnswer: 4, a, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 26, -3, 1691, 4 in descending order.\nAnswer: 1691, 26, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2\/35 (c) -3\/7 (d) -220 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 m when three letters picked without replacement from {d: 7, j: 2, f: 1, a: 2, m: 3, i: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*r = -12, 16 = -148494*c + 148495*c - 2*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnqqnnq. Give prob of sequence nnn.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 6*j + 2304 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 16. Suppose -r*m = -3*m - 15. Suppose 0 = n + 4*f - 27, -5*n + 0*f + m*f = -66. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2399016.7 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/((-28)\/28) + -3.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3014343 - -420?\nAnswer: 3020313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3258503 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 111157 + -1714?\nAnswer: 108343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2 = -2*j, 21 = f - 5*j - 8. Suppose -4*i = 68 - 72. Let g(p) = -p + 7. Let m be g(i). What is the highest common divisor of m and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127.33 + -95. Let h = -32.3297354 + b. Round h to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtq when three letters picked without replacement from {q: 2, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s = 29*s + 2806 - 538 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -251*c**2 - 38*c*y - 68803*y wrt c.\nAnswer: -502*c - 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 14, 5 in decreasing order.\nAnswer: 107, 14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115509317*k**2 - 133856076*k.\nAnswer: 231018634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 7*o**2 - 4*o + 170*o**3 - 17 - 169*o**3. Let b be j(-7). Solve -b*n + 0 + 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.5 - -0.1. Let k = 166.6 - 165. Let s = u - k. What is the nearest to -8 in -3, s, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 + 11*d - 5. Let w be j(-4). Which is smaller: w or -2\/511?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-1)*(6 + -7). Let d be o\/7*(-1 - -1). Let x = 0.02 + 2.98. Sort -0.4, d, x in decreasing order.\nAnswer: x, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 8*t - 2. Let f be o(-7). Let i = -45 + 62.3. Let y = -17.2 + i. Sort -0.5, y, f in decreasing order.\nAnswer: f, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/9 - ((-4711)\/504 - 1) and 53\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 133*l - 11940. Let k(f) = 2*f**2. Calculate i(k(u)).\nAnswer: 266*u**2 - 11940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 16) in base 15?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.5 + -2.67. Let m = x + 0.17. Let r = 7.00041 - m. Round r to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*x = -69*x + 45 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*p**2 - 2*p**2 - 31*p**2 + 21*p**3 wrt p?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*15\/(-750)*759\/(-33).\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 + 562*t - 1123. Let o be s(2). Which is smaller: o or 443\/18?\nAnswer: 443\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u. Let b be i(1). Let v(w) = 12*w**2 - 38*w + 11. Let d be v(3). Sort d, b, -5.\nAnswer: -5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010010000101100 + -100011?\nAnswer: 100010010000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/5, -50, 0.7, 2\/11, 535?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -8. Let m(i) = -5*i**3 + i**2 - 1. Calculate m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6)*0\/1. Let w = p - -1. Let n be 1*(-1 + 2)*w. Put n, -5, 4 in descending order.\nAnswer: 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584597.1 meters in nanometers?\nAnswer: 584597100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/13)*b)\/b**(-3) assuming b is positive.\nAnswer: b**(55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-43)*(h**1)**45*(h\/(h\/(h*h\/(h\/(h*h*h**(2\/3)*h)))*h)*(h*h*h\/((h**8*h)\/h))\/h*h*h)\/((h*h**(2\/5))\/h)**(3\/32) assuming h is positive.\nAnswer: h**(10711\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 37*z**4\/24 + 4*z**2 + 55. Let l(q) = -26*q**2. What is l(b(x))?\nAnswer: -35594*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -690878 and -690901 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 + 4*t + 2. Suppose 6 = -f + 4. Is u(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4027436 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100000100100 (base 2) in base 4?\nAnswer: 1200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/17))**(-49)*u**(-2\/7)\/(u*u*u**(2\/35)*u*u*u) assuming u is positive.\nAnswer: u**(251\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**2*t**4 - 3*p**2*t**2 - 2*p**2*t + 1157*p*t**6 - 247*p wrt t?\nAnswer: 120*p**2*t + 138840*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 2*d**2 + 5*d - 28. Let u be q(7). Suppose -14*k = -13*k - u. Suppose 7*b = 4*b + 126. What is the greatest common factor of b and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 1:38 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4515*l**2 + 1432*l wrt l.\nAnswer: -9030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6707304072 - 5?\nAnswer: 6707304066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8418952639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 289.051*0.323\nAnswer: 93.363473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85340 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5784 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 234 + -338. Let s = 170 + x. Suppose 3*n - 5*u = 2*n - 9, 0 = -3*u + 9. Calculate the greatest common divisor of s and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:54 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 381*d**3 - 12087*d**2 - 5223717*d.\nAnswer: -d*(d - 237)**2*(d + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 15 = 0, 0*a - 5*a = 2*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945553814?\nAnswer: 2, 53, 1913, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 428094 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 0*r - 80. Let t be (r\/25)\/(4\/10). What is the derivative of 7 - 6 + t*q**4 + 4*q**4 - 4*q**4 wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-92)\/(-240) + 5\/(-20). What is the biggest value in -5, o, -1.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2457, -2849, -3225, -3579, -3905, -4197?\n\"Answer: b**3 + 2*b**2 - 405*b - 2055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*l**3 - 11 + 10 - 24*l**3 + 3*l**3 to q*l + w + h*l**2 + s*l**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -782058.977118 - -8\nAnswer: -782050.977118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17460 + 17684. Calculate the greatest common factor of 4088 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 14. Calculate the remainder when (-6)\/21 - (-499)\/7 is divided by 2\/4*222\/(-12)*y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44121754189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h - 102. Let i be n(12). Let p be i\/(-2) - 7410\/(-152). Which is smaller: 45 or p?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67660 is divided by 1648.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + 4 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5.77 + 3393060\nAnswer: 3393054.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. What is the biggest value in -0.2, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 32*r - 4. Determine w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*c - 300*c - 55 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.11891 - -0.07.\nAnswer: 1.18891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m - 12*m - 6*m)*(26 - 7 + 6) + (4*m - m + 0*m)*(2 - 2 + 2) + m + 2*m - m to the form c + f*m and give f.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1491 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**3 - 7*l + 7*l + (-9*l**3 + 3*l**3 - 6*l**3)*(4 + 1 - 4) + 2*l**3 - l**2 + l**2.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/8 and (-12)\/54 - 70\/468.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 44 = 3*x - 245, x - 5*j = 89. Suppose -x = -11*q - 55. Solve 4*b = -4*a - q, 2*a - 3*b = 4 - 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**6\/360 + y**5\/24 + y**4\/24 + 13*y**3\/6 + 15*y. Let g(t) be the second derivative of i(t). What is g(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29122390, 58244778, 87367166?\nAnswer: 116489554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1583\/22 - -786\/11. Put 6, 0, f in ascending order.\nAnswer: f, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4523, 18080, 40675, 72308, 112979, 162688?\nAnswer: 221435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 147 = 5*n, 2*n + 333 = 5*r + n. Suppose 3*s + 3*q - 504 = 0, -4*q + 498 = 3*s - 3*q. What is the greatest common divisor of r and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 + 3*g + 3. Let i(q) = q**2 + 2 + q - 6 - 7 + 2*q**2. Let x(z) = 4*z**2 - 10. Let a(s) = -5*i(s) + 6*x(s). Determine -3*a(w) - 5*f(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97650.45 months in millennia?\nAnswer: 8.1375375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1361845273 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -3*d**2\/2 + 24*d - 795. Let v(f) = 1. What is 3*g(c) - 72*v(c)?\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*v = 74*v - 72. Let p(i) = -18*i**2 + 8*i**2 - v*i + 3*i**2 + 8*i**2. Calculate p(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -22. Let a(z) be the first derivative of z**3\/3 - 4*z**2 - 7*z - 2. What is the units digit of a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(1596\/(-8))*14\/96. Let h = p + 191177\/1368. Are 141 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 178843499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 193629690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26596 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 34. Let m be q(21). Suppose m*k - 14*k = -804. Suppose k*w = 135*w - 53. What is the remainder when w is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 984017.0899986 + -984017. Let x = -0.5 - -0.41. Let h = w + x. What is h rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 15 (b) -0.0381 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*h**2 + 198*h - 24.\nAnswer: 3*(h + 4)*(17*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2 + -3 + (sqrt(2448) - (1 + sqrt(2448))) + 0)*-1*-2)**2 + -1.\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-3)\/102). Let w = c - 32. Let j = 25 + w. 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: Let g(b) = -3*b**3 + 20*b**2 + 14*b - 49. Let d be g(7). Let s(u) be the second derivative of d - 2\/23*u**2 + 16*u - 3\/23*u**3 - 7\/138*u**4. Factor s(c).\nAnswer: -2*(c + 1)*(7*c + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 - 127.00000122. What is u rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/c**(-4\/5))\/(c**(-1)*c)**34*((c*c*c\/c**(2\/7)*c)\/c)**(5\/2)*c**(-5\/6)*c**(-2) assuming c is positive.\nAnswer: c**(541\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 176*o + 12707 - 12707. Let v(h) = 28*h**2. Give v(a(x)).\nAnswer: 867328*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Let q be 2\/5 + 24\/15. Let c be 4 + i\/(-2) - q. Which is greater: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (3 - (-69 + -27)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m + 1. Let i be c(-9). Suppose -4*a + 838 = -6. Suppose 3*g - a = -1. Calculate the greatest common divisor of g and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/52*120\/150.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = x + 7, -5*x + 43 = -4*d + 60 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17108458441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 285365*o**5 + 59070550*o**4 + 4075867260*o**3 + 93744899370*o**2 - 1642545*o = 0.\nAnswer: -69, 0, 1\/57073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**8*m)\/m**8)\/(m**(-5)*m*m**(-2)\/m*m*m))**(-3\/8) assuming m is positive.\nAnswer: m**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 3, l: 3, t: 1, s: 3, j: 6}. Give prob of sequence ee.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -660 + 207 + 13 + 3*z to u*z + x and give x.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + (9 + -24 - -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -5\/4*a**3 - 3\/8*a**2 - 27 + 15\/4*a + 3\/16*a**4. Find c such that z(c) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1 (b) -18\/7 (c) -0.07 (d) 0.01 (e) 4\/3 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 24*z**2 + 7*z - 26. Let b be j(11). Let n be 1\/(-3) + (-13880)\/b + 5. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(28) + -1 - (3 + 5*(sqrt(63))**2).\nAnswer: -318 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 7*w**2 + 7*w + 3. Let n be z(-6). Let m be ((-5)\/(-9)*-1)\/((-107)\/963). Let k = -13 - -7. Which is the biggest value? (a) n (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -11, 6\/5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2 + 13*t - 5. Let u be w(2). Solve -u*j - 2 = 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i + 2*l = 37, -5*l + 148 = -4*i. Let n = 62 + i. What is the remainder when 47 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 3*d**3 - d**3 + (10*d**2 + 4*d**2 + d**2 + (-3 + 3 + 1)*(1 - 1 - 2*d**2))*(-1 + 1 + d).\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let x be z(-3). Let j = x - -6. Suppose b = -4*b. Solve b = -l + 6 - j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*d + 2. Let g = -14 + d. Calculate the remainder when 22 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3431\/10284 + 1\/3428. Which is the biggest value? (a) v (b) -0.2 (c) 80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51206 + -51205.975803. What is s rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from wctdcdmmmcmhcmcm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 370709257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -5*t**4\/24 - 15*t**3 - 175*t**2\/4 - 1159*t. Solve h(y) = 0 for y.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.204. Let x = -0.2650088 - -0.269. Let t = w - x. What is t rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -0*t - 7*t. What is the tens digit of t*3*2\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 - 88*d**3 - 1436*d**3 + 9*d**2.\nAnswer: -1524*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 - 136254324*b = 0. What is b?\nAnswer: -34063581, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4*(-3)\/24)\/1. Which is the third biggest value? (a) -5 (b) 14 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 455 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 7.1. Let s = 0.7 - f. Let v = 3.957 - -0.043. Which is the second smallest value? (a) -4 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36781508 divided by -49772.\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2057, 1\/2, -466, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 333*p**3 + 2*p**2. Let q(v) = 1664*v**3 + 11*v**2. Determine 6*q(b) - 33*y(b).\nAnswer: -1005*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7)*m*m**(-11))**28 assuming m is positive.\nAnswer: m**(-292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 677, 5, -11, -12, -10 in decreasing order.\nAnswer: 677, 5, -10, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 10 = 13*u. Suppose -3*f + 0*f + 9 = 3*a, u*f = 0. Suppose -5*j - 10 = a*n, 15 = 4*n - 2*n - j. Put n, -2, -6 in decreasing order.\nAnswer: n, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1097*j**2 + 384*j**2 - 1 - 1.\nAnswer: -713*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 5, g: 3, s: 1}. What is prob of picking 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0 + 0)*(4*f + 0*f - 5*f) + (-6*f + 2*f + 2*f)*(-f - f + 0*f) - 2*f**2 - 3*f**2 + 9*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4. Let z be 31\/(4\/48*3). Let d be z\/12 - 2\/6. Let v(x) = x + 10. What is d*o(c) - 4*v(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1120 + -1055 + (0 - -9).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 200, 9, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -243236046 (base 7) in base 5?\nAnswer: -12344012010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r + 10. Let t(x) = x + 2. Let j(m) = -3*c(m) + 12*t(m). Determine j(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.308 and -0.07851.\nAnswer: -0.02418108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-2 - -3)) + 5. Suppose -i + b*i = 70. Calculate the least common multiple of i and (-16)\/(-10) - 10\/(-25).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s - 157. Let r be m(-17). What is the closest to 0 in -7, -3\/7, r?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -20, 16, 3, -5 in increasing order.\nAnswer: -20, -5, -2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18.3075086 and 0.797?\nAnswer: 19.1045086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 + (-6 - (-3230)\/600)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 16*j + 37. Give n(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 19338468.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8 = -6319*d + 6320*d, 33*d - 644 = -4*b for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**10\/2520 - w**6\/120 - w**3\/2 - w. Let o(g) be the second derivative of p(g). What is the third derivative of o(f) wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 274, 287, 290, 277?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12020122112101 (base 3) to base 12\nAnswer: -b25584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159593012 is divided by 264.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**5 - 21480513*z**4 + 22710272*z.\nAnswer: 40*z**3 - 257766156*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 + -44. Let s = 70 - x. Which is the second biggest value? (a) 0.07 (b) -0.4 (c) s (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -52. Calculate the remainder when 44 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3342 + -220102?\nAnswer: -212320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. What is the derivative of -13 + 60*w**k - 85*w**3 + 1 wrt w?\nAnswer: -75*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284644861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576234778 to the power of 1\/3, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:52 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 12 = 3*h, 5*y - 10*y = 5*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 843\/4 in descending order.\nAnswer: 843\/4, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17003130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16 - -17) + 4)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131110632 to the nearest integer?\nAnswer: 11450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, -7\/3, 1, 11\/4, -0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:09 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -486*b**3*l*x**2 + 5*b**3*l - l*x**2 + 101*l wrt x.\nAnswer: -972*b**3*l*x - 2*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 488.\nAnswer: 9760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380, -371, -344, -293, -212, -95?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*(-316 + 318)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -17406*m - 5535116. Calculate j(-318).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/27 + (-266)\/(-18). What is the third derivative of 4*i**2 - 15 + u + 4*i**5 wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(-4*u - 2*u + 5*u + (-2*u + 6*u - 3*u)*(-4 + 2 + 0) + 10*u + 92*u - 23*u) to o + b*u and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 198994343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 - 14*k**2 - 2*k + 4. Let r be g(7). Let h = -236 + r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**5\/7 + 1437*k**4\/7 - 32706*k**3 + 1721280*k**2 + 13670400*k\/7 - 73728000\/7 = 0.\nAnswer: -3, 2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24*g*(g*g\/(g**(-3\/20)\/g)*g)\/g*g)\/((g\/(g*g\/(g**30*g*g)*g*g)*g)\/(g\/((g\/g**(-28)*g)\/g)*g)) assuming g is positive.\nAnswer: g**(-557\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 - -1 - (-652 + 705).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/33 - (-73)\/99. Let t = -344.0298 - -0.0298. Let o = t + 340. What is the smallest value in o, 2, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*r + 194*r = -14190. What are the prime factors of r?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*2\/8*3.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 800 = -3*v. Suppose 7*s - 4*p = 2*s + 1182, s = 4*p + 230. Let o = s - v. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20026 is divided by 623?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.9289 - 48.9289. Suppose 4*w - 1 = 3. What is the third smallest value in -1\/5, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9853 - -10195. Calculate the greatest common divisor of 38 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*w**3\/7 - 27298*w**2\/7 + 182030*w - 1400 = 0. What is w?\nAnswer: -140, 1\/130, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/822 and -53\/3014.\nAnswer: 9042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 4*y - 4*y)*(0*y + 0*y + 2*y**2)*(-49 + 14 - 10) as k*y**2 + v*y**3 + t + i*y and give v.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 11*k - 3 - 21. Solve -5*l + 1 = k*w, 2*l + 2*w - 4 = 3*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131 + 138 - h**2 + 6*h**2 - 268 + 7*h to l + n*h**2 + d*h and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 633253327 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104556 - 3?\nAnswer: -104562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 33164*j - 2. Let w(k) = -2*k. Determine w(z(b)).\nAnswer: 4*b**2 + 66328*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9152530)\/(-977) + -2 + 0. Let s = -9366 + k. Let r = -116227\/5862 + s. Calculate the common denominator of 5\/7 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.4 - -14. Let o = 7.2 + i. Which is the nearest to -2\/9? (a) -1\/6 (b) 1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -5277\nAnswer: 316.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -273456316 divided by 19532594?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 0 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8172424 micrograms?\nAnswer: 0.0008172424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-175)\/28)\/(-5)*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 10:54 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - 2*(sqrt(11) - sqrt(11)*-2)) + sqrt(11) + -2)**2*-1.\nAnswer: -180 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2. Let b(d) = 4*d - 5. Let y(o) = 2*o - 2. Let z = 9 + -4. Let i(m) = z*y(m) - 2*b(m). Calculate t(i(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i + 1. Let d(a) = 1. Let w(q) = 5*d(q) + u(q). Let f(k) = -13*k - 11. Let t(c) = 6*f(c) + 11*w(c). Let v(m) = 3*m. What is v(t(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -3*u. Calculate the remainder when 36\/4 + -3 - u is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r = -30*r + 64. Calculate the greatest common factor of 240 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5745403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)*q*(q**(-4\/7)\/q)\/q*q)**(-2\/81) assuming q is positive.\nAnswer: q**(4\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 13\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 801480437 to the power of 1\/3, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + 7 - 24) + 11 + -64?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*r + 3 + 2, r = 3*w - 29. Let l = -13 + w. What is the tens digit of ((-15)\/9)\/(l\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00620427 to five decimal places.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 1, m: 1, j: 1, s: 1}. What is prob of sequence jxm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42752 + 267235. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5969 and 262401.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 + -1024.701.\nAnswer: -1078.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110121210 (base 3) to base 15.\nAnswer: 2ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 607*x**2 - 2349*x + 98. Let n(o) = -151*o**2 + 587*o - 24. Let r(i) = 9*n(i) + 2*p(i). What is m in r(m) = 0?\nAnswer: 1\/29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61997329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 213.0254 - 0.0254. Let w = -202.3 + l. Let o = 17.7 - w. Which is the nearest to -1? (a) 0.4 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 + 37784175*p**4 + 4*p**3 - 3488522*p**2 - 80*p wrt p.\nAnswer: -60*p**2 + 906820200*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3864)\/10626*(-957)\/6?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 22 = 0. Suppose k + a = o - 1, 3 = -k. Solve 3*v - o = -3*n, 3*v - 9 = 4*v - 3*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6106.\nAnswer: 2, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**7\/2520 - 7*q**6\/720 + q**5\/60 + q**4\/8 - 3*q**2. Let r(n) be the second derivative of f(n). Determine r(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 4*p**3\/3 + 10*p**2 - 24*p - 54. Factor d(i).\nAnswer: 4*(i - 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37112.\nAnswer: 2, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewewewweeeewee. Give prob of picking 2 e.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10458, 9585, 8712?\n\"Answer: -873*y + 11331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -8. Suppose -d*u + 316 = -34. Let x(z) = -3*z + 4. Let l be x(-8). Calculate the highest common factor of u and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.4. Let i = -163.73 + 2.73. Let k = i - -164. Which is the nearest to f? (a) 0.4 (b) -1\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 4500 = -3404. Suppose -4*z + t = c, 0 = -3*z + 5*c + 316 + 448. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-714)\/153*18\/35*20\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Let l(t) = t - 3. Let p be l(i). Is 10 a factor of 1\/((-2)\/(-42)) - p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 694154016 and 12?\nAnswer: 694154016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/4*(-112)\/(-12). Let o = -9 - a. What is the tens digit of 4\/(8\/o)*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 72*y + 516. Determine v(64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 6 - 1) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(-30)\/9*(-786 + -4). Round x to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**2 - 2*y - 1. Let f(s) = -s**3 + 2*s**2 + s. Let p be f(2). Suppose -c = p*c + 3. Does 7 divide o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2187)*-3.\nAnswer: -81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -31. Let i be 3*(x + 1)\/4. Suppose -m = t - 37, 5*m - 69 = -i*t + 108. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/6*12\/6. What is the second smallest value in -0.3, 2\/11, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1910, -3819, -5728, -7637?\nAnswer: -9546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Suppose 3*b + 18 - 54 = x. Suppose -3*z + 4*z - b = 0. Calculate the highest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -414 - -415. Sort -4, f, -1\/5 in ascending order.\nAnswer: -4, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228) + sqrt(228) + (-2*-2*sqrt(228) - sqrt(228)) + sqrt(228) - sqrt(228))\/(sqrt(108) - sqrt(108)*2) + 3 + -3)*-6.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 525352016 a multiple of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417*j + 1009 = 418*j. What is the remainder when j is divided by 64?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.12, 0.014, 1\/11, 4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 2212708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170 + 172. Factor -8514*z**3 - 3*z**2 + z**2 + p*z**4 - 2*z**2 + 8512*z**3.\nAnswer: 2*z**2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(3 + -28)*(-3)\/(90\/(-22))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10949 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/35487 or 1?\nAnswer: 10\/35487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22321 and 25480078.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*a - 10 = 0, 4*a - 9 - 4 = 3*o. Do -2\/23 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205\/17 - -12. Sort -2, -1\/6, m.\nAnswer: -2, -1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, r: 5, a: 4}. What is prob of sequence ars?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -596, -2431, -5558, -10031, -15904, -23231, -32066?\n\"Answer: -9*s**3 - 592*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4 + 34*i**3 - 96*i**2 + 94*i - 31 = 0.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/8*(3 - 807). Let s(m) = 7 - 2 - m**2 + r*m - 581*m. Let u be s(22). Solve -33 = -u*i - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 1, j: 4, e: 4, k: 1, m: 1}. Give prob of sequence kv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2 (b) 4\/5 (c) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355, -275, -189, -97, 1, 105, 215?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -7. Suppose 7*t = 2*t. Suppose i - w = t, 0 = -3*h + 5*h + i - 22. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/10 + 2*o**4\/3 + o**3 - 18*o**2 - o + 18. Find d, given that b(d) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18507258421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -1. Solve -26 = -a*t - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -5 (c) 200\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -1 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018264373 to five decimal places.\nAnswer: 0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(5)*-5)\/(sqrt(3) + -1*sqrt(3)*-2).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 3, -431, -27 in ascending order.\nAnswer: -431, -68, -27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h + 142*h = 198. Let u(s) = s**2 - 5*s - 1. Let p(w) = 3*w. Give h*u(q) + 5*p(q).\nAnswer: 2*q**2 + 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -19. Suppose 3*l - 10 - q = 0. Calculate the highest common divisor of l and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 - (-2 - (3 + 1))) + 4.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 353.772 - 344.771944. Let u = 19 - 10. Let k = u - v. Round k to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8490 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -284*f**2 + 7*f - 6. Let h be u(1). Let r = 385 + h. Calculate the remainder when r is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b**3 + b)*(3*b + 3*b - 4*b) + (0*b**2 + 2*b**2 + 0*b**2)*(-2026 + 2026 - 209*b**2).\nAnswer: -414*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - 2*q**4 + 2*q**4 + (5 - 2 - 4)*(-q**3 + 2*q**4 + q**3) - q**4 + 0*q**2 + 0*q**2 + (16*q**2 + 29*q - 29*q)*(4*q**2 - q**2 + 0*q**2).\nAnswer: 46*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.81087 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226694649 to the power of 1\/4, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b + 81?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1457 - 4157 = 0. Suppose h - l = 4*h - p, -3*l = 0. Suppose -3*v = -c + 75, -3*c + 7*v - 2*v + h = 0. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 440 + (-1 - -1). Suppose -171091 = 39*g - 173002. Calculate the greatest common factor of o and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5023 or 4732?\nAnswer: 5023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 85*j**2 + 290*j - 200.\nAnswer: -5*(j - 2)*(j - 1)*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/360745 and 1\/40425.\nAnswer: 37878225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + 27. Let d(m) = -m**3 - 7*m**2 - 2*m - 9. Let n be d(-7). Suppose -n*t + 4*p + j = 0, -4*t = -4*p + 2 - 42. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 4. Let n be j(4). Let t be n - -14 - (0 + 2). Let d = -2 + t. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 3. Let k = -36 + 39. Let d be c(k). Suppose d = -t + 5 + 10. Calculate the remainder when 87 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = -1, -4*i - j + 3 = 0. Find the third derivative of -4*y**6 - y**2 + 3*y**i + 4*y**6 - 4*y**6 wrt y.\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i. Let t(c) = -c**2 + 1. Let y = 7 - 9. Let o(w) = 3*w - w**2 + 2*w + 2 - 5*w. Let l(m) = y*t(m) + o(m). What is l(f(b))?\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 32*i - 185. Let n(r) = -51*r**2 + 103*r + 4. Let x be n(2). Give v(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134114874421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2408859 decades to centuries.\nAnswer: 0.02408859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. What is the derivative of -255 + 5*x**4 + 266 + n*x**4 wrt x?\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1788 times 2.2?\nAnswer: -3933.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - 13193.45153\nAnswer: -13194.05153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-20)*(-15)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g - 22. Let j be s(9). Let f = 585 - j. List the prime factors of f.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc1 - -4d?\nAnswer: -c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956.3057 litres to millilitres.\nAnswer: 956305.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**3\/3 - 5*w**2\/2 + 6*w - 1. Give r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -247*z - 766*z - 1916*z - 596*z + 231*z to the form q + g*z and give g.\nAnswer: -3294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27901, -111471, -250755, -445759, -696489?\n\"Answer: -p**3 - 27851*p**2 - 10*p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3)*(0 - -1). Let k = 85 + -83. Let z be (k\/3)\/((-255)\/459). Sort -1, u, z in decreasing order.\nAnswer: u, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 2. Suppose -42 = 3*z + 3*z. Let d(p) = -p - 3. Determine z*g(q) - 4*d(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2088 (base 14) to base 10.\nAnswer: -5608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 74580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -341483947593\nAnswer: -341483947589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.914063 millimeters in centimeters?\nAnswer: 0.0914063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124040 is divided by 58406.\nAnswer: 7228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + u - 1. Let a be f(0). Let g be 0 - a\/2*-2. Let r(m) = -8*m**3. Is 8 a factor of r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 8, 70, 188, 380, 664, 1058?\nAnswer: 1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 239*c - 8. Let d be y(-20). Let f = -3389 - d. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15875 = 18*v + 11935. Is v != -1542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2513 + 5123\/2. Let h be (-3)\/3*(-26 - (-5 + 0)). Calculate the common denominator of i and (-1)\/(-4)*(h\/(-2) - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42711, -43105, -43499, -43893?\nAnswer: -44287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 48 - 8 = 0. Calculate the common denominator of w\/14 - (-138)\/(-28) and -49\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.274 + 1.726. Is -10.8 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 546 + -489. Let a = -55 + r. Put 3, a, -80, -2 in increasing order.\nAnswer: -80, -2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1cb57b (base 14) to base 15\nAnswer: 155329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 2, s: 6, t: 3}. What is prob of picking 2 m and 1 s?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 161*q + 230. Calculate u(-82).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/475 + -496\/3325. Sort -1, g, 4\/9.\nAnswer: -1, g, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -933, -2082, -3691, -5760, -8289?\nAnswer: -11278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59636683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/336 - (3 - 3).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*t + 137 = -0*u, 2*u = -4*t - 286. Let k = -59 - u. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39216, -39218, -39220, -39222, -39224?\nAnswer: -39226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 11*y - 1. Let d = -58 - -76. Let m be ((-66)\/d)\/(1\/3). What is b(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10537*d**3*s**4 + d**3*s**2 - 8*d**2*s**2 - 2*d*s**6 + 52*s**2 + s wrt s?\nAnswer: -252888*d**3*s - 240*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -355*r**2 - 9*r**3 - 470*r**2 + r**4 + 28*r**6 + 8*r**3 + r**3 wrt r.\nAnswer: 3360*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*s + 34 = 11*w - 0*s, -w - 3142*s + 3145*s = -26 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -346*z**3 - 7*z - 97.\nAnswer: -2076*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-54)\/1242*23).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 4 - 4)*(c**2 + 3*c**2 - 3*c**2)*(-4 + 1 + 1)*(-4*c**2 + 4*c**2 - c**2).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4275904415.\nAnswer: 5, 855180883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12d + 3dca6c?\nAnswer: 3dc93d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 640 - 644. Sort q, 4, -10, 0.3 in decreasing order.\nAnswer: 4, 0.3, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i + 3. Let q be m(13). Let x = 45 + q. Is (-631)\/(-4) - ((-11)\/x - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8\/7 + 103\/84. Let l(h) be the third derivative of -1\/24*h**4 - c*h**3 + 0 - 3*h**2 - 1\/120*h**5 + 0*h. Let l(d) = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let t(h) = 2*h**2 + h - 217. Give t(c(f)).\nAnswer: 8*f**4 + 2*f**2 - 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eefaeffeeeeneeneer. What is prob of picking 2 f and 1 e?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36814 - 0?\nAnswer: -36814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -15. Let d = 21 - 15. Let s(w) = -12*w - 3 + 6 + 13*w - d*w + w**2. Determine s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.5. Let z = -7.86 + -0.14. Let x = 6 + z. Which is the closest to 1? (a) -0.3 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198181?\nAnswer: 59, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 75*t**2 - 109*t - 32. What is m(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -8. Let b(i) = i**2 - 5*i - 50. Let m be b(10). Let w(l) = 7*l + 6. Let v be w(m). Solve 0 = -4*d + 3*c + 7, o*c = 3*d + d - v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -953631 and 0.4.\nAnswer: -381452.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-5))\/f)**(-28)\/(f**6)**42 assuming f is positive.\nAnswer: f**(-392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2. Let h(k) = 24 - 58 + 53*k**2 + 34. Determine h(m(u)).\nAnswer: 477*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-66)*-2)\/(6620\/(-7282))*(-15)\/18?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15*f**2 + 1084*f - 369. Calculate z(72).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 9:56 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 41 = -24. Suppose 19 = m - i. Let r = m - -24. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 647 divide 15551939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*z + 291 = 65, 2*z - 4 = 0. Suppose -11*v = 2 - b. Suppose 0 = -0*o + v*o - 236. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + -79. Calculate the remainder when 37 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 = -32. Let j be 0 - 1\/((-1)\/(-2)). Sort 1, v, j, 2 in decreasing order.\nAnswer: 2, 1, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-40))\/((-12)\/70 - (-31)\/310)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05309 rounded to 3 dps?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 10101.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*sqrt(495) - sqrt(55))*-3)\/(sqrt(132)\/(sqrt(24)\/sqrt(2)) - (sqrt(22)*2)\/sqrt(2)).\nAnswer: 171*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*x**3 - 86*x**3 - 1313*x**3 - 70*x**3.\nAnswer: -1560*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 830079 = -63*f - 70*f. Sort -1, f, 0.\nAnswer: -1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:41 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/3)\/(51\/(-153)). Let b = z + 10. Solve -3*l - b = -9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*k + 301*k + 4 = 3*x, 4*x + 2 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a hour in seconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/21))\/(d*d\/d**(-2)))\/(d\/(d*d**17)*d\/d**20) assuming d is positive.\nAnswer: d**(692\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/84 + (-12)\/48. Let f be 1\/(-3) + (-12)\/45. Let a = -2 - -1.9. What is the nearest to a in 0, f, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -22. Let d be (-6)\/(-4) + k\/(-4). Solve -t + 4 = -d*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*f - 20 = -365*f + 5*j, -8 = 3*f + 2*j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 32803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (367934 - 367934 - 162*w - 1370*w - 1328*w)*(4*w**2 - 2*w**2 - 3*w**2).\nAnswer: 2860*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/((a**9\/a)\/a))\/a)\/a**(5\/9)*a**(-1)*a*a**(-12))**(-21) assuming a is positive.\nAnswer: a**(1169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36037788*i**2 - 3522505.\nAnswer: 72075576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-60))\/(17\/(-272)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 i when four letters picked without replacement from giipiiaagiaigi.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 301?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j**2 - 21*j + 123. Let f(s) = 5*s**2 - 11*s + 62. Let k(q) = -6*c(q) + 11*f(q). Find the first derivative of k(b) wrt b.\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 24. Let v be s(-6). Solve 2*t + 0*t = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.1, 0.5, -3, 115?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 5*r**2 + 8*r - 8. Let o be (-9)\/4*16\/(-6). Calculate j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11589 * 110.\nAnswer: 1274790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by -50\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 53 - 6\/9*-3. Let x = 64 - j. Suppose x = 2*f - 3*u - 0, 2*f + 2*u = -6. Put 5, -5, f, 0.1 in decreasing order.\nAnswer: 5, 0.1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 62\/(-30) - (-13550)\/(-750).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**5 - 72*p**3 + 1787*p**2 wrt p.\nAnswer: 120*p**2 - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 72*y**3 + 0 - 4 - 66*y**3 to k*y + c*y**3 + g*y**2 + s and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1942725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (1 - (1 + -6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-2)\/4*0. Let t(o) be the third derivative of o**4\/24 + 2*o**2. Let s(f) be the second derivative of -2*f**3\/3 - f + 40. Give v*s(z) - 6*t(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 5 - (-20 + 12 - 2). Suppose 441 = l - 5*q, u*l - 915 = 3*l - q. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 4*m**2 - 2*m**2 + 1 - m**2 - 2. Let h(o) = 0*o - 5 + o**3 + 3*o**2 + 5*o - 2*o. What is -h(u) + 3*n(u)?\nAnswer: -u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**3\/3 + 20. Let v(s) = 7*s**2 - 2*s + 2. Calculate v(n) + 6*z(n).\nAnswer: n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i - 5. Let d be s(1). Suppose 0 = d*n - 12 + 24. What is the remainder when 11 is divided by (2\/4)\/(n\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1591774 divided by -3569\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130*c*p*v + 897*c*p + 325863810*c*v - 773*p*v - v wrt p?\nAnswer: 130*c*v + 897*c - 773*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/35)\/((-36)\/(-21))*140\/(-490).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -8, 57, 222, 529, 1020, 1737, 2722?\nAnswer: 4017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wtwttwttttt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(3\/11))**(-12)*o**(-3)*o\/(o*o**(-1\/5)*o)*o\/o**6*o*o\/o**(1\/12) assuming o is positive.\nAnswer: o**(-3679\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q - 24. Suppose -20*t = -60 - 20. Solve 0 = -0*o - 3*o + q, -t*o = 5*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-40) + (-6)\/(-10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**3 - t**2 + 4*t - 4. Let d(z) = -9*z**3 + 2*z**2 - 7*z + 7. Suppose -3*a - 5 = -2*r + 3*r, -4*a - 12 = 0. Give r*d(g) + 7*p(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/3))**(-17\/3)*j\/j**(-2)*j\/j**(-2\/9) assuming j is positive.\nAnswer: j**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*n**4 - 66*n**4 - 4*n**3 + n**3 + 2*n in the form j*n**2 + z*n**4 + f + q*n + w*n**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {h: 5, n: 3, r: 5, q: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3210 - 11045?\nAnswer: -4535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3119782.9 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 1:18 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10919*f**3 + 3*f**2 + 66*f**2 - 10921*f**3 - 2 + 2 + f**3 + (6*f**2 - 5*f**2 + 0*f**2)*(0*f - f - f) to the form i*f**3 + a*f**2 + x*f + j and give a.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4048 - 34610 - 9976 = 459*p + 9659 for p.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqrq when four letters picked without replacement from {q: 4, r: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(-3\/7))))\/(g*g\/g**(-3))*(g*g*g**5*g*g)\/g*g*g**(1\/5))**(-48) assuming g is positive.\nAnswer: g**(-8016\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**2\/3 - 12700*o\/3 - 8064500\/3 = 0. What is o?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13345 divided by 62?\nAnswer: 13345\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36791286*u**2*z**3 - u*z**3 + 5*u*z**2 - 4*u*z - 34*u + 610*z**3 wrt u.\nAnswer: -73582572*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -825 + 274681?\nAnswer: 273856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -83*n - 4. Let j be o(-3). Let c(x) = -245 + 2*x + j. Let m(p) be the third derivative of 13*p**4\/24 + 12*p**2. Give m(c(d)).\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*k + 7420 = -406*k + 218*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 250162 divided by 83\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -78*b - 73 + 35 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 452*v - 450*v = 6*u + 13, -6*v = -u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.34, 397, 33 in descending order.\nAnswer: 397, 33, 1.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37802701697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2785091.99 rounded to the nearest one hundred?\nAnswer: -2785100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85219402 divided by -34.\nAnswer: 2506453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**8)\/(r**5\/r*r)*r**6\/(r*r\/r**(-7)*r)*(r\/(r\/(r**2\/r))*r**(-2))\/(r*r**3*r**(-4)\/r*r) assuming r is positive.\nAnswer: r**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 >= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (sqrt(85) - -5*sqrt(85)*-2))\/(sqrt(560)\/sqrt(7)))**2 - (3 + sqrt(833)*2*6).\nAnswer: -84*sqrt(17) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -40, -106, -220, -394, -640, -970, -1396?\n\"Answer: -2*f**3 - 6*f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, -2, -77\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/16*(0 - 0 - 4) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*c*p**3 - 2066*c*p**2 + 3*c*p - 2*c - 5928851*p**3 - 3*p**2 + 2*p - 3 wrt p.\nAnswer: 120*c - 35573106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 9. Let c be q(9). Suppose 0 = i + 4*k - 46, c*k = 2*i + 4*k - 72. Suppose m + i = 123. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -706 (c) -52 (d) 25 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -2*o**2 - 2*o - 2 + 2*o. Let b(q) = -3 + q + 3. Give j(b(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m + 55 - 162 + 27*m**3 + 108.\nAnswer: 27*m**3 - 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*s - 33 = 0, 2*g - 4*s + 0 = 6. Suppose 5*o = g*o. Suppose -4*h + 4*r - 8 + o = 0, 3*r = h + 12. Solve -2*l = 11 - h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42202 is divided by 21007?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgtgggtprtsgsgpgtt. What is prob of sequence pr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-8))\/((777\/(-28))\/(-37))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b - 2. Calculate the remainder when 14 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108290.\nAnswer: 2, 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1029, 2, 0 in descending order.\nAnswer: 1029, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 21*h - 6. Let p be k(10). Which is the third smallest value? (a) -1.3 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 a when three letters picked without replacement from vkkaaeafaekakaka.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -200, 32, -292?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 242*x + 6562. Let m(o) = 7*o**2 + 969*o - 26249. Let h(v) = 3*m(v) + 11*s(v). What is the derivative of h(j) wrt j?\nAnswer: 20*j + 245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*1\/5)\/(-4)*1048\/(-786)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2, -0.08, -319, -6\/11?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -36*z + 7. Let i(o) = 73*o - 13. Let g(f) = 9*c(f) + 4*i(f). Let l(j) = 11*j - 4. What is -4*g(h) - 11*l(h)?\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -4*c + 4*u, -5*c + 2*c + 43*u = 47*u - 16 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/171 and 5\/(-10)*-5*1184\/320?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(640)\/sqrt(8) + sqrt(90)\/sqrt(2) - (sqrt(5) + (sqrt(5) - 1*sqrt(5)) + -5 - 1*sqrt(80))**2.\nAnswer: -70 - 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 4) + 85*2\/17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 322*s + 1262. Let j be p(-4). Let o be (-15)\/(-4) - (-5)\/20. Calculate the remainder when o - (-4 + j + -2 + -2) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*d + 72, -k + 3*k = 3*d - 88. Let i = -585 - k. Let g = 767 + i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 5:33 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1.6. Let y = v - 0.6. Let u = 4.5 - -0.5. Which is the second biggest value? (a) 0.2 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**5\/20 - j**3\/2 - j**2 + j. Let s(l) be the first derivative of l**2\/2 + l - 15. Calculate -p(o) - 3*s(o).\nAnswer: o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 31. Let s be (-3)\/6*4\/3. What is the nearest to g in s, -5, 2\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2343*i**3 - 3*i**2 - 72*i - 694635 with respect to i.\nAnswer: -7029*i**2 - 6*i - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3338489 is divided by 1134?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 10644, 1176 in decreasing order.\nAnswer: 10644, 1176, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l**0))\/((l**(3\/4)\/l)\/l)*(l*l\/l**(-3\/2)*l)\/l**(9\/5) assuming l is positive.\nAnswer: l**(39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128449002 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 8388?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1281261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 1 + 13*p**3 - 11*p**3 + 2 in the form o*p**3 + x*p + a + k*p**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 214827158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*h. Let k be 0\/2 + 0 + h. Suppose k*r - z + 42 = r, -5*z = 0. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103001210133021 - 3?\nAnswer: -103001210133030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027314 plus 13411849?\nAnswer: 13411849.027314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**6\/360 - n**5\/36 + n**4\/72 + 5*n**3\/18 + n**2\/2 + 97*n + 154. Let b(i) be the second derivative of h(i). Factor b(s).\nAnswer: -(s - 1)*(s + 1)*(s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000459165553 to six dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-21))\/(6\/(-21)). Suppose t*b + c - 46 = -2*b, 0 = -2*b - c + 24. Calculate the remainder when 19 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/8)\/(15\/(-12)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 2}. What is prob of picking 1 v and 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (6 - (-1 + 5)) - (85 - 74).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (0 - -18) + -8 + 11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031211323 - 103?\nAnswer: -1031212032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.59 + 2.41. Which is the nearest to -0.1? (a) 2 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*d + 3*d + 27 + 3*d wrt d.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 4*c - 740. Let f = c - 125. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t - 26 = 3*s - 5*t + 22*t, 0*s = 2*s - t - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.92, 2\/5, -2\/5, -5\/6, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*h + 7, 3*r - 2 = -4*h - 2*r. Let n(a) = a**3 + a**2 - 3*a - 4. What is the units digit of n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**3 + 45*o**2 - 59*o + 158. Let z(r) = -16*r**3 + 226*r**2 - 293*r + 788. Let m(t) = 11*f(t) - 2*z(t). What are the prime factors of m(41)?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 0\/(-1) - -12. Let j be 1084\/18 + (-2)\/d. Suppose -l = 3*l - j. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 13949.\nAnswer: -2\/13949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -4, 30, -41\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r + 2 + 5*r**2 - r + 1. Let p be z(6). Suppose 2*h - p = 89. Calculate the greatest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + s - 3)*(-2 + 8 - 2) - 9 + 9 + 13*s)*(-s**2 - s + 3*s**2 - s).\nAnswer: 34*s**3 - 34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2083.18 rounded to the nearest ten?\nAnswer: -2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-3)\/(-12))\/((-13)\/(-6344)*-3). Solve l = 9*q + 429 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 38 (b) -11 (c) -0.5 (d) -0.4 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -540 and -540 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:25 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 9082.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109469003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5280 to the nearest one hundred.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 46. Let f(n) be the third derivative of -n**4\/24 - n**3\/3 - n**2. Calculate f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 54 + 5 - 7*d - 43. Let n(l) = -8*l + 17. Give 6*n(a) - 7*x(a).\nAnswer: a - 10","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**9\/j**(-9))\/(j**(-11)*j**(-2\/25)))**(-2\/9) assuming j is positive.\nAnswer: j**(-1454\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 276 * 0.36155.\nAnswer: 99.7878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -15*i**3 + 236*i + 50. Let j(v) = -8*v**3 + 118*v + 27. Give -11*j(a) + 6*q(a).\nAnswer: -2*a**3 + 118*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, q: 5, i: 1, v: 5}. Give prob of sequence iq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 1. Suppose 5*w - w + t + 32 = 0, 2*w + 4*t = -30. Calculate the remainder when y(-2) is divided by (-2)\/(-14)*-3*w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 715755 and 1670095?\nAnswer: 5010285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t + 4. Let r be (-1 - t)*1\/1. Let u be 5 - (2 - r) - -1. Solve u*p - 20 = 0, 3*o - 11 = 5*o - p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 8*a**2 - 30*a. Let p = 13 - -149. Calculate the remainder when p is divided by o(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -368 + 563. Let n = b + -195.716. What is n rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001647072923 rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/5071136 and -45\/633892?\nAnswer: 5071136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/20 and 33\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 2*z**3\/3 + 2*z**2 + z - 761. Determine m(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-20))\/(36\/(-720))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 2*b + 379 - 416 + 37.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 16 = 129. Let r be -11*(-3 + 5 + -1). Let n = r + o. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:21 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758*u + 2016 = -1748 - 448 - 1094 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 620565 and 89166?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, -27, 2\/29 in ascending order.\nAnswer: -82, -27, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4 + 3 + 3. Let i(a) = -a - 1. Suppose 3 = -h - 6. Let g(s) = 4*s + 3. Let p(c) = h*i(c) - 2*g(c). What is 2*p(t) - 4*v(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*h + 952 = -3326. What is the greatest common divisor of h and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 - 2. Let b = 0.2 - q. What is the closest to 1 in b, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 11*j**5\/60 + j**3\/6 + 3*j**2. List the prime factors of v(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 75, 90, 121, 174, 255, 370, 525?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 - (-711)\/27. Suppose 27*l - v*l + 6 = 0. What are the prime factors of 65\/3 - 8\/l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194 + -196. Which is the closest to 2\/5? (a) 0.3 (b) n (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 492 and 600?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -167130 divided by 2?\nAnswer: -83565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*n + 2208 = -76*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24208 and 2081888?\nAnswer: 2081888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -74?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 2*g**2 - 25. Let y be d(4). Suppose -y*s + 70*s - 4*z - 8 = 0, 4*z + 8 = -3*s. Solve s = -2*h - 8, -5*h = -3*r - 10*h - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 1449?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*y + 3, 2*y = 2*h - 0*h. Let g(b) be the third derivative of -7*b**5\/60 + b**4\/24 + 9*b**2 + 12. Determine g(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 5. Let o(x) = x**2 - 6*x - 36. What is the lowest common multiple of i(3) and o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, l: 1, b: 3, o: 1, w: 2}. What is prob of picking 1 o and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1088) - (sqrt(1088) + 2 + sqrt(1088) - sqrt(1088))) + -5 + sqrt(1088) + 3 + 1)**2*-5.\nAnswer: -27425 + 1200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 487\/5 + -97. What is the closest to 2\/3 in 1, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 4 - 4)*(-2*s + 2*s - 2*s**4) + 11*s**5 - 15*s**5 - 9*s**5 - 31*s**3.\nAnswer: -11*s**5 - 31*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -9\/4*u**4 - 7\/30*u**6 + 17*u**2 + 0*u**3 + 1\/60*u**5 + 0 + 0*u. Find the second derivative of t(c) wrt c.\nAnswer: -168*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((612\/(-615))\/(-6)) + 1020\/(-85).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2418 + -2417.6. Which is the second smallest value? (a) m (b) -5 (c) 35 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*w + 572, u = 6*u + 4*w - 1432. What is the greatest common factor of 32 and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/16*3*-4. Let n(k) = 2 - k**3 + 0 + 0*k**3. Let b(c) = 3*c + 3 - c - c**3 - 3*c - c**2 + 2*c**2. What is j*n(a) - 2*b(a)?\nAnswer: -a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + ((-18)\/72)\/(9\/4 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 81, 127, 187, 267, 373?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488557*p = -488545*p + 306 - 30 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1286*c**4 - 5*c**3 - c**2 - c + 12123?\nAnswer: -15432*c**2 - 30*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/3 + 90427*h**4\/3 + 2044486639*h**3\/3 + 10220895985*h**2\/3 + 16352637856*h\/3 + 8176138084\/3 = 0 for h.\nAnswer: -45211, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2. Let p(k) = 76602*k**2. Give z(p(v)).\nAnswer: 11735732808*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 72. Suppose -2*n + 0*s + 3*s - 18 = 0, -5*n + u*s - 59 = 0. Which is the nearest to n? (a) 2\/11 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 81*d**2. Let b(k) = -7*k**2. Let r(p) = -303*p**2 + 610*p**2 - 298*p**2. Let u(z) = 5*b(z) + 4*r(z). Calculate o(u(g)).\nAnswer: 81*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 12:29 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120934937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-6*sqrt(20)\/sqrt(4)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5385 and -51280?\nAnswer: 51280.5385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/2 + 19\/6. Let r = 2067 - 2071. What is the closest to o in 4, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 241 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-528)\/20)\/((-3)\/10). Suppose 2*v + 2*o - 24 = 0, -2*v = -0*v + 4*o - 16. Suppose -v = -c - c. Calculate the greatest common divisor of c and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.226 + 31.757. What is z rounded to 0 decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 95486 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(1 - (3 - 0)). Let l be d - -3*(-78)\/(-9). Let q = -31 + l. Put -5, q, 5 in decreasing order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4889 = 5*f, l - 973 = -f - l. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5 - 6. Is i greater than or equal to 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115142 + 3?\nAnswer: -115135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3608094 to the power of 1\/2, to the nearest integer?\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -487 + 496. Solve 15 = -2*r + 3*w, r + 5*w - k - 16 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n**3 + 58*n**2 - 4*n - 48 = 0. Calculate n.\nAnswer: -4, -1, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-1)\/2*2). Suppose -14*o - 9 = -107. Is 23 a factor of 490\/o - (0 - y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 44 + 22. Suppose z = -3*x - 0*x. Is -11 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 18\/215?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/(((b*b**5)\/b)\/b))**10*((b\/b**(-1))**(-2\/11))**(-1) assuming b is positive.\nAnswer: b**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-340) - (-38)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1984 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 99*x**2 + 502*x + 29559. Calculate g(-97).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:23 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 9:57 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1923 + 1076. Let z = h - -845.236. Round z to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4609 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36320 and 13532605?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 8) to base 2.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 10 - 2*v + 14)*((2 - 4 + 0)*(3*v + v - 2*v) + 279 + 10632*v - 58 - 10630*v).\nAnswer: 4*v**2 - 450*v + 884","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41220 < 41221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8973*m + 10. Calculate i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 300\/(-480)*(-20)\/54 and -85\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - b. Is 498\/4*(2 + b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*u**6*y**2 + 32*u**6*y + 25*u**2 + 21*u*y**2 - 7*y**2 wrt u.\nAnswer: -960*u**3*y**2 + 3840*u**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*u = -5*k + 180, 0 = 5*k - u - 204. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8496443 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59*g**2*u**2*y - 2*g**2*y - 775*g**2 + 2*g*u**2 - 4*g*y wrt y?\nAnswer: 59*g**2*u**2 - 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222 + -139. Suppose z = 9*u - 25. Solve -2*t - 4 + u = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 1a?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/((-12)\/45))\/((-2)\/8). Suppose 3*y = -0 + b. What is the common denominator of (2\/y)\/((-413)\/(-425) + -1) and 15\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*p = -153*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.9579*219\nAnswer: 647.7801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1928*b**2. Let c(a) = -2*a - 1427. What is c(s(t))?\nAnswer: 3856*t**2 - 1427","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3\/5 - 197*a**2\/5 - 1122969*a\/5 + 108056313 = 0.\nAnswer: -1165, 681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5060\/51 - 298\/3. Let b be 0 + (-3)\/(-5) - 1. Let p = 895.42 - 895.22. What is the nearest to b in h, 1\/3, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 758 - 848.4. Let o = -90 - k. Which is the biggest value? (a) 0 (b) -3\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -62232, 2, -6 in increasing order.\nAnswer: -62232, -6, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 267471396547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 0*q**5 + 3*q**2 + 0*q**4 + 0 - 5\/6*q**3 + 0*q + 1\/15*q**6. Find the first derivative of z(y) wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355285300 rounded to the nearest one million?\nAnswer: 1355000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 24*j**2 - 206*j**2 - 246*j**2 - 2 + 57*j**2 in the form i*j**2 + o*j + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1 (base 14) in base 5?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4856*u - 2549*u + 12 - 2411*u.\nAnswer: -104*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3. Let d = 5 - 5. Let r be w(d). Let j(u) = 2 + 12 + 2*u - 5*u - 10 + 2*u. Give j(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*n + 30*n + 32*n - 113*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*x - 61*x + 3*x**2 + (1 - 1 - 2*x)*(-2*x + 4*x - 4*x) + (-4*x + 4*x - 2*x)*(-2*x + 0 + 0) + 2*x - 2*x - 2*x**2 - 1 + 3*x**2 + 1.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 13104.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10465 = -3*d, -43*n - 3*d + 2081 = -42*n. What is the remainder when n is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*x + 31 = 0, 4*d + 14 = -4*x - 34. Let i(j) = j + 7. Let o be i(d). Suppose -w - 1 = o, w = p - w - 57. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 4*l + 4*l)*(-1 + 0 + 3) + 25*l + 3*l + 4*l - 2*l + 3*l - 2*l + (3*l - 2*l + 0*l)*(-4 + 0 + 2) in the form k*l + w and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-2045)\/(-31084)*1\/(-5)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 121*b**6\/39 - 66*b**5\/5 + 285*b**4\/13 - 692*b**3\/39 + 93*b**2\/13 - 18*b\/13 - 18. Solve h(r) = 0 for r.\nAnswer: 3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19446731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -k - 2*k, -2*k = -5*i + 14. Suppose 5*d = 2*t + 20, -i*t + 12 + 4 = 4*d. Which is smaller: 7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ca - 22?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - ((-45)\/12 - 9\/(-12)). Let k(q) = -2*q - 1. Let i be k(1). Which is the biggest value? (a) i (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/30869, 0.05, 0.5, -0.03?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + sqrt(13) + 1 + 3 - (1 + (sqrt(13) - sqrt(208))*6)*6)**2.\nAnswer: -436*sqrt(13) + 154457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1124 - -1124.1. Suppose y = -5 + 4. What is the closest to 1 in c, -3\/2, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 6432, -4, 147 in descending order.\nAnswer: 6432, 147, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2641359 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26\/78 + 4409\/3.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 12*p**2 + 20*p - 49 + 89 - 46. Let y be d(10). Let h(g) = -g + 8. Give h(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {c: 5, r: 8, l: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 10020221?\nAnswer: 10020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15655643 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 505715 divided by 7.\nAnswer: 72245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*l**2 - 4 + 4 + 0 + 6*l**4 wrt l?\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 245 - -2?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -366?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -111*w + 27*w + 28*w + 32*w + 26*w - 476*w**2. Let h(c) = -c. What is a(h(t))?\nAnswer: -476*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkokoookkokkkkoo. Give prob of picking 1 k and 2 o.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -207449, -207158, -206663, -205958, -205037, -203894?\n\"Answer: u**3 + 96*u**2 - 4*u - 207542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -1, -2, 0.\nAnswer: -19, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193477 - 2740.\nAnswer: -196217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5 = -2*b, 4*b + 3*k - 56 = -1 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 194749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.56 + 1.96. Let m = v + 0.6025. What is m rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4332473 rounded to three dps?\nAnswer: -1.433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-102)\/18*(6 + 0). Let c be (p\/(-6) + -7)\/((-52)\/6). Factor 2\/13*y**2 + 0 + c*y.\nAnswer: 2*y*(y + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.066468 and 3.\nAnswer: 3.066468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - 3 + 7*i**2 + 4 + 2*i**2. Is h(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 12*j**5 - 50*j**4 + 44*j**3 - 6*j**2 = 0.\nAnswer: 0, 1\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-30))\/((-60)\/45).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -14*g + 191. What is h(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-342)\/(-228))\/(6\/64).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1497940, -2995878, -4493816, -5991754?\nAnswer: -7489692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose 2*f = 1 + 5. What is the units digit of (w\/f)\/(2\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -21*k**2 + 15*k - 5. Let z(q) = -10*q**2 + 7*q - 2. Determine 2*n(o) - 5*z(o).\nAnswer: 8*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2888*z**4\/5 - 1328328*z**3\/5 + 152705282*z**2\/5 + 1607976*z + 21160 = 0. What is z?\nAnswer: -1\/38, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011011100111110 (base 2) in base 11?\nAnswer: 77534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 18*r**3 + 27*r - 27. Let a(n) = 3 - 9*n - n**3 + 22*n - 4 - 14*n + 2. What is -27*a(o) - j(o)?\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + 478. Let m(i) = -i. What is m(f(b))?\nAnswer: 2*b - 478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26126, 52204, 78178, 103994, 129598?\n\"Answer: -9*z**3 + 2*z**2 + 26135*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u. Let m(i) = 2*i - 1. Let j(s) = 3*m(s) - 2*n(s). Let p(k) = -4*k + 2*k + 0*k + 1 + k. Give -j(l) - 4*p(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 154, 144, 126, 100, 66, 24, -26?\n\"Answer: -4*c**2 + 2*c + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357833 is divided by 111.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -378, -569, -762?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 54405202.\nAnswer: -3\/54405202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 6 - 56\/9*x + 2\/9*x**2 = 0. Calculate x.\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61.09677481 - -73.4369417. Let f = t - 80.34017359. Let l = 68 + f. What is l rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u\/u**(2\/19))\/(u*u*u*u\/(u\/(u\/(u\/u**3)))*u*u))\/(u**(-10\/9)\/((u**(1\/2)*u)\/u)))**(-5) assuming u is positive.\nAnswer: u**(5975\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:29 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -178. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-161)\/(-49) - 6) + 4\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65804312.\nAnswer: 2, 7, 1175077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -42*g**2 + 32. Let s(v) = -16*v**2 + 12. Let w(t) = -3*a(t) + 8*s(t). Let k(m) = -296*m. Determine w(k(j)).\nAnswer: -175232*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 18*h + 401. Calculate c(-31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w - 9 = 0. Is 40\/13 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 2 - 6*o**2 - 5*o**2 - 3*o**3 + 3*o**3 to x*o**2 + w + n*o**3 + h*o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.3 (c) 0.07 (d) 5\/121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-18) + 1 - 200\/(-180). Let q = -4 + 7. What is the nearest to q in -2, -4\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/12 + (-16206)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 483698 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**3)\/(x**(1\/34)*x))**(-42) assuming x is positive.\nAnswer: x**(2163\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 385 in -0.2, -27, 0, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3262 - 3202 = 10*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 1. Let j(m) = -m**3 - 2*m**2 + 2*m + 2. Calculate j(z) - 2*r(z).\nAnswer: -z**3 - 2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -61\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b + 9. Let y be u(8). Let j be (-4)\/8 + 71\/2. Let o = y + j. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -2250?\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009965 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 21*r**2 + 15*r - 3. Let y be k(10). Calculate the greatest common factor of 47 and y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z + 9. Let v(x) = 1. Let n(b) = r(b) + v(b). Let i(q) = 2*q + 3. Suppose m = -3 + 1. What is m*n(j) + 7*i(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -78, -359, -846, -1557, -2510, -3723?\n\"Answer: -3*t**3 - 85*t**2 - 5*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agga when four letters picked without replacement from {l: 1, a: 2, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32870536 is divided by 196.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 12:19 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**8\/168 + n**7\/105 - n**2\/2 - n. Let y(x) be the first derivative of r(x). Factor y(m).\nAnswer: -2*m**4*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37364?\nAnswer: 2, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:12 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:04 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000036363846 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3794335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 1:47 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*b**2 - 111*b**2 + 525*b**2 - 197*b**2 - 107*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (10 - -10) + -19 + -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -14*h**2. Let f(j) = -17950*j**2 - 17723*j**2 + 36231*j**2. Give f(v(a)).\nAnswer: 109368*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603089 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/840 and 85\/24?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/4 + 36*r - 420.\nAnswer: -3*(r - 28)*(r - 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00798234 rounded to 4 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 13047 = 13167, -8*f = y + 194 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30544915 is divided by 3128.\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/p*p)\/(p\/p**4)*((p**0\/p)\/p)**(2\/27) assuming p is positive.\nAnswer: p**(185\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 339717009.9 to the nearest 100000.\nAnswer: 339700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 28, 67, 146, 277, 472, 743?\n\"Answer: 2*h**3 + 2*h**2 - 9*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1570 divided by 2.\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.37742 - -0.5.\nAnswer: -2.87742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -77704300 rounded to the nearest 100000?\nAnswer: -77700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -15 + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -5 - -4 - 12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a factor of 3293100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032328 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 ((a**(-7)\/a)\/a)\/(a**(-40\/7)*a)*(a\/a**(-13\/6))**(13\/4) assuming a is positive.\nAnswer: a**(1009\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2345, 0.1, -4, 0.06, 0.7 in ascending order.\nAnswer: -4, 0, 0.06, 0.1, 0.7, 2345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22575184 (base 9) to base 7\nAnswer: -162163366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -17*j - 26. Determine a(-8).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, 7, -1\/2, -3, -3\/7, -0.4.\nAnswer: -3, -1\/2, -3\/7, -0.4, 0.18, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1171, -2337, -3503?\n\"Answer: -1166*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1606606915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z + 29. Let g(n) = 6*n - 28. Let y(w) = 5*b(w) + 6*g(w). Is y(8) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-20) - (-3)\/4. Let q be (1\/(-2 + 3))\/u. Let m be q + 3\/(-3) + 0. Let h(l) = -l - 1. Give h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/49 and -17\/422748956.\nAnswer: 2959242692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 60*y**2 - 28*y + 50. Give u(2).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/15078 and -5\/17591.\nAnswer: 105546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 26, 59, 114, 197, 314, 471?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149283468 and 5976.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**4\/20 - 2*k**3\/5 + 9*k**2\/10 - 8*k + 15. Let t(u) be the first derivative of r(u). Factor t(q).\nAnswer: 3*(q - 3)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 39*o + 0 + 7\/33*o**3 + 1\/66*o**4 + 12\/11*o**2. Solve q(c) = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -357*j**4 - 1548*j**3 + 17316*j**2 - 28464*j + 5760 = 0?\nAnswer: -10, 4\/17, 2, 24\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 48*h**2 + 12*h + 11. Let i be z(-1). Determine v so that -v**4 + 49*v**3 + 5*v**5 - 20*v**3 - i*v**4 + 3*v**4 + 41*v**3 = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(65)*-4 + sqrt(65) - sqrt(65))\/sqrt(5) + 0)*4)**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 160088 (base 14) to base 7\nAnswer: 6350231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 1510290?\nAnswer: 3020580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4271 + -4269. Let u be 145\/6*57\/10. Let o = u - 137. Which is the closest to o? (a) -3 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 4*y**2 + 8*y - 9. Let w be z(-6). Suppose -w*i + 6456 - 1446 = 0. List the prime factors of i.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**2 - 258*v + 261 = 0.\nAnswer: -87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101021221002 (base 3) in base 16?\nAnswer: 3bdb09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105674 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4642 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 4312210?\nAnswer: -4312213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 65*v - 386. List the prime factors of s(41).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1206546 and 404?\nAnswer: 2413092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-175)\/(-1750))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 0)\/(1\/(-4)). Suppose v = 4*c - 47, -c - 4*v = -2*c + q. Solve -c = -2*s - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 44298, 176050, 395636, 703056, 1098310, 1581398?\n\"Answer: 43917*h**2 + h + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-51)\/(-15) + (-15)\/5. Let l = -1043\/11 + 95. Which is the second smallest value? (a) q (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/162)\/((-228)\/69768)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -217, -460, -791, -1210?\nAnswer: -1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjh. What is prob of sequence kj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4398 + -e2?\nAnswer: 42a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12014524134 + -5?\nAnswer: -12014524143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120888\/(-8395))\/((-6)\/(-15))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 15*b**2 + 44*b - 9. What are the prime factors of q(5)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -4*b**2 + 5*b + 14. Let n(f) = 7*f - 4. Let c(i) = 5*n(i) + 4*x(i). Let j(t) = -3*t. What is c(j(a))?\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 3)*(0*m - 4*m + 2*m)*(3*m**2 - 2*m**2 + 2*m**2 + (-m - m + 0*m)*(m + 2*m - m) - 2 + m**2 + 2 - 2*m**2 + 3*m**2 - 3*m**2).\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 5*g - 2, 39380*g = 5*k + 39376*g - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j. Let b(w) = -1383*w + 2. Give b(q(l)).\nAnswer: 2766*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 4 + 2 + 2*a**2 + a**3 + 1 + 0. Let p be r(-3). Let j(l) = -l**3 - 5*l**2 - l - 3. What is j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.1, -248, 5, 921?\nAnswer: 921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 39 + 7*h + (2 - 2 - 1)*(-3*h + 4*h + 0*h) - h + 2*h - 3*h to p*h + w and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3235229, 3235227, 3235225, 3235223, 3235221?\nAnswer: 3235219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 218. What is q(-38)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + r + 1)*(r**2 + 2*r**3 - 4*r**2 + 0*r**2) + (1 - 2 + 4)*(r**2 - r**2 - r**3)*(-32*r + 3*r - 5*r) as s + o*r**2 + x*r**3 + m*r + l*r**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*c**5 + 14*c**4 - 96*c**4 + 96*c - 212*c**2 - 26*c**4 - 10*c**5 - 16 + 220*c**3 = 0. Calculate c.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 266 = 3*w - 4*k, 5*k + 1064 = -4*w. What are the prime factors of 13608\/38 + 28\/w?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 890 and 580458.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37 + 125*t**3 + 2*t - 174*t**3 - 98*t**3 - 241*t**3 + 16*t wrt t.\nAnswer: -2328*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.83078 + 58.06.\nAnswer: 53.22922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17995 = -5*w - m, 4*w = 181*m - 182*m + 14396. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -4538 - -5613. Which is smaller: 1072 or w?\nAnswer: 1072","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10561 less than 10560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 676978.2mg?\nAnswer: 676978200000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 0. What is the remainder when 44 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 20, -63*c + 59*c = q + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197\/15 - (-4)\/(-5) is divided by (-2 + 4\/((-60)\/(-81)))*5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/12*8\/(-56))\/((-1)\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-212)\/35934*-226*2\/(-12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -614821 (base 9) in base 13?\nAnswer: -c9b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7945 = 142*i + 3827 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3367*f**3*z**2 - f**3 + 4*f**2*z**2 - 2*f*z**2 + 21208*f*z wrt z?\nAnswer: -6734*f**3 + 8*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12 + 6 - 9*z - 11*z - 5. Is d(-33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*y + 22, 2*f + 2*y + 17 = -3*y. Let o be 0 - (-5)\/((-10)\/f). Is o\/5 + 48\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+0.710901671\nAnswer: 0.610901671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/14, -25, 2, -3.5 in ascending order.\nAnswer: -25, -3.5, 3\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*p - 6223, 2*p = 4*x - 3*p - 8274. Suppose 793 = c + 2*w, -5*w + 1092 = 4*c - x. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 14*j = -4*j. Solve j = 5*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 127. Suppose 4*m = -f + 34, 4*m = -7*f + 2*f + 90. Calculate the remainder when b is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 60795.48 hours?\nAnswer: 218863728000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46*r - 107 + 107)*(-1 - r + 1) as j*r**2 + u*r + s and give j.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -24. Suppose 1 + 4 = d. Solve 5*q = j - 12, q + 18 + x = -d*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(-42)\/35 - -231 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j + 1. Suppose 0 = -4*c + 16, -2*n + 2*c = -19 - 3. Suppose -5*z = -0*z - n. Let t be b(z). Solve 2*w - t + 5 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - 2*a**2 + 3*a**2)*(18 + 8 - 13).\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 509 divide 1668507090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7 = -1. Let u = 10 - 8. Suppose 0 = u*z - y + r, 3*y = 5*z + 6*y - 17. Solve 3 - z = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 3. Let v be (-9)\/d - (-10 - 0). Let c(o) = o**2 + 24*o - 13. Let t be c(4). What is the greatest common divisor of t and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -14*y + 9*y. Suppose l - 4 = -t, l = -2*l - 5*t + y. Suppose 2*j = -8, 2*d - l*j = -3 + 21. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 - (0 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6063*k**3 - 3*k**2 - 46*k - 20.\nAnswer: -36378*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 209.38 - 3.38. Let f = c + -205.6. Put 2, 1\/3, -1\/2, f in descending order.\nAnswer: 2, f, 1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66305 rounded to the nearest one hundred?\nAnswer: -66300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 222211 (base 3) to base 15\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*x = -231, -265*x + 270*x - 210 = -5*o. Solve 0 = 2*c + j - o + 43, j - 3 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2\/((x\/x**(-2\/9))\/x)*((x*((x**(-3\/5)\/x*x*x)\/x)\/x)\/x*x)**(-36) assuming x is positive.\nAnswer: x**(1052\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 10 = -9*k. Solve i - 3 = -k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - g - 35 = 0, 2*h + g + 55 = 7*h. Calculate the remainder when 145 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = -5*j. Let q(n) be the second derivative of -n**3\/2 - 5*n**2\/2 - 16*n. Let u be q(j). Solve 0*c - 2*c + 12 = 2*s, 0 = -4*c + u*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 7*q - 3. Let x be r(4). Sort 5, 0, x, -5 in increasing order.\nAnswer: -5, 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 8 - -6) + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = -2*r. Suppose 3*k + 3*y - 3 = 0, y - 14 = -5*k + r*y. Solve -3 = -b + k*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14360472 divided by 1?\nAnswer: -14360472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-9))\/(-4) + 0. Let j = 111 - 110. Suppose 14 = 5*i - j. Sort i, m, -0.09 in descending order.\nAnswer: i, -0.09, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 b, and 1 t when four letters picked without replacement from zzbztzbcztzz?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 504 = 26*n + 582, -5*n - 20 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 46*m + 108. Let z = -55 - -7. Let i be w(z). Calculate the greatest common factor of 108 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 4. Let k be n(4). Let r = k + -4. Suppose 0 = -2*g + g - d + r, 0 = g - 2*d - 5. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 200*k**2 - 61*k + 83. What is the units digit of l(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 2\/13 (c) -32667 (d) -3\/4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:10 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = w - 21, 4*q + 4 = -0*q. Calculate the remainder when w is divided by (-52)\/(-8) - 1\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + 7. Let k = -6 + z. What is the highest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*b**5 + 92*b**4 - 120*b**3 - 36*b**2.\nAnswer: -4*b**2*(b - 3)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 25.655.\nAnswer: -564.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3 - 12196*l**2 + 9302496*l - 9290304 = 0. Calculate l.\nAnswer: 1, 1524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125093 is divided by 2830.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176 + -141. Let x = p + -35.006. Is x < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/410, -1\/2, 7, -0.3, -371 in descending order.\nAnswer: 7, -3\/410, -0.3, -1\/2, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76166220 is divided by 454.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/4 - 197*q**3\/2 + 1224039*q**2\/4 - 917336*q + 611425 = 0. What is q?\nAnswer: -1322, 1, 2, 925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 176*d = -177*d + 350*d + 17, 0 = -5*m - 2*d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -496.22*-0.06\nAnswer: 29.7732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*s - 305 = 362 + 152 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 393*r**2 - 37*r + 28. Let s(g) = -98*g**2 + 10*g - 7. What is -11*s(k) - 3*z(k)?\nAnswer: -101*k**2 + k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9737?\nAnswer: 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1728499, -3456998, -5185497, -6913996, -8642495?\nAnswer: -10370994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -2 - -6)\/1. Let k = -2 - -2. Suppose 5*b - 96 = t, t + k = 4. Solve -7*g - b = -p*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4561*j**3 - j**2 - 9502.\nAnswer: 27366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67983? (a) -1\/2 (b) -1 (c) 212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**2 + 3 + 0*y**2 + 0*y**2. Let v(p) = -5*p + 4. Let n(h) = -6*h + 5. Let i(s) = -4*n(s) + 5*v(s). Calculate m(i(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -8*f + 7*f + 11, 3*f = -4*n + 18. Which is the biggest value? (a) -1 (b) n (c) 2\/3 (d) 7\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 3*n**2 - 7*n - 3. Let r(s) = 2*s**3 + 5*s**2 + 14*s + 6. Let o(m) = -2*r(m) - 5*y(m). Factor o(l).\nAnswer: (l + 1)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1275, 1322, 1399, 1506, 1643?\n\"Answer: 15*k**2 + 2*k + 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66472913?\nAnswer: 13, 337, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67036218.\nAnswer: 2, 3, 19, 588037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 136498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by -6\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5 = -4*i, -600 = -4*i - 4*g - 620 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3375, -20 in decreasing order.\nAnswer: 3375, 4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q - 5, 19 = 2*y - q. Suppose -w + 4 = y. Let u be w\/6 + (-9)\/14. Which is bigger: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 4*f - 5. Let m be d(-2). Suppose m*k - 16 = 15*k. Let a be (3 - (k + 3)) + 0. Is 10 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwnnnnaknnannnnjnj. What is prob of sequence jjw?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -16. What is the closest to v in -5, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2459336075 to the nearest one hundred thousand.\nAnswer: -2459300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.75? (a) 290 (b) 47 (c) -2\/9 (d) 4 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-95)\/(82 + -2647) + 20\/(-54))\/((-4)\/282).\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -535221924 divided by -6\nAnswer: 89203654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l + 5 - 5.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219489032?\nAnswer: 2, 3, 50812043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1507940 to the nearest 10000.\nAnswer: 1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z + 40. Let n be b(-4). Suppose 5 + 7 = 2*c. Suppose -r + 33 + c = n. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*h + 161*h = 30. Let i(q) be the first derivative of -7\/3*q**h + 16 + 0*q**2 + 0*q - 11\/5*q**5 + 0*q**4. What is the third derivative of i(n) wrt n?\nAnswer: -264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*-7*8\/(-112)*1*-2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -197429869 plus -1?\nAnswer: -197429870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.74 - -26.74. What is the nearest to -25 in 0, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/187 - (-4116)\/(-17). Let o = 354 - j. What are the prime factors of o?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.8, 0.1, -5 in ascending order.\nAnswer: -5, -3, 0.1, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1404 divided by 27\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 64. Let l = i - -11. Is ((659 - l) + 10\/5)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19391459909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2\/13, 3357?\nAnswer: 3357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1100?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 20 = 4*a, 18*l = 3*a + 17*l + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 4, a: 1, q: 5, l: 1, z: 3}. What is prob of picking 1 i and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*f = 2*f + 1, 4*g - 29 = f. Suppose -g*x - 21 = -9*x. Let l = -554\/99 + 130\/11. What is the common denominator of l and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*z - 24 = 0, f + 2*z + 0 = 14. Let g be (-4 - 2\/2)*-1. Solve 0 = -3*u - g*t - f, 4*t - 17 = 5*u + 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1919 (base 12) in base 14?\nAnswer: -1177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1323 divide 73720650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + u - 191, 0 = -1139*z + 1118*z - u + 1325 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/30*(-8)\/260. Let v = -133\/975 + w. Let y = 5 - 10. Sort -0.4, v, y in increasing order.\nAnswer: y, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 4*p**2 - 3*p - 1. Suppose -2*i + 5*u + 43 = 0, -2*u + u - 47 = -2*i. Let t be -3 - (-3)\/(9\/i). Give a(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c + c**2 + 2*c - 4*c. Let g be y(-1). Let p(f) = -7*f**2 + 49*f + 3. Let j be p(7). Solve t - j*t = g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 14}. What is prob of sequence iz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.04666 times 8200\nAnswer: -382.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 88751, 176708, 264665, 352622?\n\"Answer: 87957*q + 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74505.\nAnswer: 3, 5, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 591181141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135 (base 10) in base 3?\nAnswer: 1120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h*h*h\/h**(2\/3))*h))*h)\/(h*h**(-6))*h**5*h**(-1\/5))\/(h\/h**2*h*h**3\/h*(h*h**1)**(-46)) assuming h is positive.\nAnswer: h**(1507\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -374.9295245 - 0.5.\nAnswer: -375.4295245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/4037117 or 0?\nAnswer: -10\/4037117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.08 or -4.6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 7. Let z = -439\/8 + 2187\/40. Let o = -6.9 - -7.6. Which is the second smallest value? (a) o (b) z (c) -1\/3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1583*h. Let y(x) = -x**2. Calculate y(l(g)).\nAnswer: -2505889*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + 1 + -1 + 0. Suppose -5*w = 2*p - 43, 2*p + 0 + 2 = 4*w. Suppose -q = 3, 2*q - 6*q = t + p. Solve -t*h = -1 - a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1130 and 84863.\nAnswer: 848630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10450993.\nAnswer: 7, 23, 139, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + f + 3*f + (-2 - 1 - 9)*(-43 + 43 - 4*f).\nAnswer: 49*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68241093 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/179560 and 77\/3905430.\nAnswer: 15621720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u*u*(u\/u**0)\/u*u*u*u))*u)\/u)\/(u**(-6)\/u)*u**(2\/11)\/(u**(3\/4)*u) assuming u is positive.\nAnswer: u**(503\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*d**2 + 5512*c**2*d + 1039*d**5 wrt d?\nAnswer: -2*c**2 + 20780*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2996 = 4*i - 0*t + t, -t = i - 752. Which is bigger: i or 747?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -50)\/(10\/(-22)). Let g = -113 + d. Let j = 26.8 + -27. What is the smallest value in g, j, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, t: 6, g: 1}. What is prob of picking 1 g and 2 q?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*a = 7*f + 5, f = 5*a + 3. Let s be (f\/3)\/(1\/(-6)). Suppose 3*z = 5*z - s. Solve z*m + 2*x + x - 16 = 0, m - 2*x = 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -30913?\nAnswer: 3\/30913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teumeempmeeempptpbee. Give prob of sequence em.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) + (-54)\/42. Let g = -0.1 + -0.1. Sort l, -2\/7, g.\nAnswer: l, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-21)*y**(-6\/13))\/(y**4)**31 assuming y is positive.\nAnswer: y**(-1891\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 5*r**2 + 22*r + 55. Let b be x(-7). What is the common denominator of -15\/91 and (b - (-9)\/15) + (-3546)\/(-5265)?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, -56, -6, 17.5?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 274.\nAnswer: 21\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 21. Let t(n) be the first derivative of n**2\/2 - 1. Determine b(t(c)).\nAnswer: -2*c - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50a76 (base 15) to base 5.\nAnswer: -31133421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4740 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1108)\/20 + (2 - 16\/10). Let p = 95 + i. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - l = 2, 0*i + 6 = -3*i + 3*l. Suppose -8*a + 65 = -4*a - 3*q, 0 = i*a + 4*q - 16. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 5*o - o)*(-11*o + 27*o - 6 - 14*o)*(6 - 3 - 2).\nAnswer: -2*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 16*c - 3*c**2 - 4 - 1 + 23932*c**3 - 47857*c**3 + 23924*c**3 + 7. Calculate s(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Calculate the smallest common multiple of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/770 and 25\/211288?\nAnswer: 1056440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6821967 times -0.2?\nAnswer: -1364393.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-320)\/((-13)\/(542750\/(-83496)) + -2). Round l to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(3 - (12 - 4)). Let r(d) be the second derivative of 0 + 0*d**2 - 1\/3*d**4 + 1\/3*d**3 - 3*d + 1\/10*d**b. Factor r(u).\nAnswer: 2*u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 527158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371 divided by -18.\nAnswer: 371\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -615*(4 + (-10)\/3). Let k = l + 423. Solve 5*q - 13 = -w + k, -2*w + 17 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 9, 2\/5, -2\/201, -3, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + c**2 + 4*c. Let i(r) = -2*r**3 - r**2 - 3*r. What is 5*i(u) + 4*w(u)?\nAnswer: -2*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**24\/i)\/i)**17 assuming i is positive.\nAnswer: i**374","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000137750673 rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -0.65 (c) 0 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 366*c + 368*c = -13419, -y + 4*c + 2673 = 0. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.4 or -8353828?\nAnswer: -8353828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 12 + -5)*(0 + -5). Let r = -2.85 + 3. Let x = -0.05 + r. Which is the second biggest value? (a) x (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -h - 21, 3*u = 4*h + 24 + 15. Let b = h - -22. Let d be 38\/b - (-3)\/15. Solve 2*c = -0*c + d, 0 = 2*n - 3*c - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 6*q**2 + q - 4. Let b be v(6). Suppose 2*x + b = 4. Is x*(0 - 2) - -5 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -4*g**5\/5 + 3*g**2\/2 + 7. Find the second derivative of z(p) wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d070c (base 14) to base 15.\nAnswer: 43025c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 3. Suppose 19 = j + 40. Let c = j - -28. What is d(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a millennium in centuries?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**3 - 3*m**2 + 4*m**2 - 2*m**3 - 2*m**2 + 1. Let h(s) = 7*s - 2. What is the least common multiple of i(-1) and h(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4891380*p**3 - 19614324*p + 10?\nAnswer: -29348280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 7*q - 2. Let g be v(4). Find the first derivative of -g - 1 - n**2 + 0 wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i*i\/(i*i**(1\/9)*i))\/i)**(-4\/13) assuming i is positive.\nAnswer: i**(-32\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 24\/(-4)) + 0 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2 - 5*b + 4. Let m(a) = -14*a + 5 - 14*a**2 + 8 - 5 + 3. Calculate 11*c(x) - 4*m(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 - -83.8. Suppose -5*w + 413 = 73. Let x = w - 202\/3. Is x less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 7, a: 4}. What is prob of picking 1 m and 2 a?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + (-45)\/(-10))*56. Let c be p\/(-5)*(-2 + 7). What is the remainder when (11\/(-4))\/(1\/c) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 9:22 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14072 = -29*w + 21656. What is the highest common factor of w and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Let w(b) = 937*b**3 + b**2 + b - 2. Let f be w(h). What is f rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 0.7, -1\/5, -1, 7.4, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 8. Let f be i(0). Let z = 5 - f. What is the remainder when 42 is divided by 21 + 3 + 1 + z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + r + 2*r + 0*r - r - r + (-5*r + 4*r - r)*(-1 + 0 + 3) + 21*r - 71*r + 10*r)*(2 - 2 - 2)*(1 - 4 + 0).\nAnswer: -294*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*v**3 + 20*v**3 - 3 - 6*v**3 + v**4 to the form t*v**3 + h*v**4 + y + a*v + w*v**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 120 = 2*l. Let t be ((-1)\/(-2))\/((-4)\/l). Let c be -2 + -2 + t + 5. Solve -3*h - h = -c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008534 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 680340 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5948 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 917 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.6 - -14. Let v be (-3)\/7*12\/(-18). Which is the biggest value? (a) v (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 3\/410 (c) 3 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 o, and 1 w when three letters picked without replacement from {w: 5, k: 1, h: 1, t: 3, d: 3, o: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**3\/3 - 155*c**2 + 956*c + 190. Differentiate l(u) wrt u.\nAnswer: 2*u - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -5 - (-793)\/143 - 120\/(-22) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 51 - 37. Find z, given that 0*z**n - 18*z - z**3 + 0*z**3 - 1 + z**2 + 19*z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 16*n + 7575. Let w = n + 871. List the prime factors of w.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.2. Let r = -0.2 + -0.3. Let p = -345.65 - -345.7. Which is the fourth biggest value? (a) r (b) h (c) p (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15402775\/1524 + -40427\/4. What is the common denominator of g and 82\/21?\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8931278*r**4 - 8222575*r.\nAnswer: -107175336*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1, 3\/2, 2 in decreasing order.\nAnswer: 2, 3\/2, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594 and 2970?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 2\/7, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27492351.\nAnswer: 3, 43, 213119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1134060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 19*w = 1155. Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 10. Let l be x(-4). Let h(a) = a**2 + 3*a + 3. What is the tens digit of h(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1786572?\nAnswer: 2, 3, 49627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 - 57*i**3 - 32*i**3.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (1 + sqrt(1088))*2) + -5 + 3.\nAnswer: -16*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v. Let m(f) = 768*f**2. Determine m(r(u)).\nAnswer: 3072*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -9. Suppose 2*i - h = 2. Suppose -g + i*g - 12 = 0. Solve w = g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -5*o**2\/2 - 15. Let n(g) be the third derivative of 0*g**4 + 0*g + 7\/30*g**5 + 0 + 5*g**2 + 0*g**3. Calculate n(v(k)).\nAnswer: 350*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 3*z**2 - 2*z**2 + z**4 - 3 - 2*z**2 to c + d*z**2 + l*z**3 + u*z**4 + g*z and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63902, 65015, 66128?\nAnswer: 67241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 - 3 = 0. Let n = j + -1. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -4, 3, 4.\nAnswer: -4, 3, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -176, -400, -716, -1124, -1624?\nAnswer: -2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 11*v - 24. Solve 0 = 4*g - 4*c + 12, -v*g + 2*c + 3 = 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 1:37 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029?\nAnswer: 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4, -19 in descending order.\nAnswer: -1\/4, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(648)*1 + sqrt(18))\/(-5*sqrt(18)\/sqrt(2)).\nAnswer: 28*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(10)\/sqrt(2) + 1) - ((sqrt(20)\/sqrt(4))**2 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0766 - 4.8334. Let n = -0.09 + h. Let r = n - -7. Which is the second smallest value? (a) r (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**0*((a**28\/a)\/a)\/a*a*(a**(2\/9))**(-22) assuming a is positive.\nAnswer: a**(190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(-7*r - 12*r**2 + 6*r**2 + 7*r**2) to s*r + c*r**2 + t and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -541639.\nAnswer: -1083278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15388687?\nAnswer: 15388687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 284853.5 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 5*j + 1. Let n be i(-4). Let a(w) = 3*w**3 + 4*w. Let q(k) = 3*k**3 + 3*k. Determine n*a(z) + 4*q(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50440435 + 155?\nAnswer: -50440240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 57.\nAnswer: -5\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -21. Let h be (-2)\/(r\/(-177))*12. Suppose -4*z + z = -h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((9 - 19) + 6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1011 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urkquiqrurku. Give prob of picking 2 r, 1 k, and 1 u.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1608, 3215, 4818, 6417, 8012, 9603, 11190?\nAnswer: 12773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 6*f - 2 + 2*f - 20*f)*(25*f**3 - 14*f**3 + 28*f**3) in the form a + b*f**4 + j*f**2 + o*f + v*f**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 20. Let s = -14 - n. What is the smallest value in 2\/5, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482\/25 at least 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63804443.\nAnswer: 63804443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 212*f**3 + f + 1. Let y be 1\/(-3) + (-2)\/3. Let m be s(y). Let b be m\/(-7) + (-4)\/14. Calculate the highest common divisor of b and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2023, -3984, -5945, -7906, -9867?\n\"Answer: -1961*g - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*t - 29*t + 49*t + 29*t.\nAnswer: 83*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 10) to base 8.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - 0.09. Suppose -g + 3*g + 10 = 0. What is the closest to f in g, 0, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 divided by 69038?\nAnswer: 87\/69038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (-2 - -5))\/(3\/15). Suppose -142 - 188 = -j - 3*h, l*j - 2*h = 1667. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 - 6*v**3 + 11*v**3 + 2*v**3 - 2*v**3 - v**3 + (-2 + 4 - 1)*(0*v**3 + 0*v**3 - v**3) + 2 - 2 + 2*v**3 + 3*v**3 - 2*v + 2*v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649\/621154 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22211 + 2*d - 22211 + d**3 + 290*d**2 + 6*d**3 to the form q + p*d**3 + n*d**2 + y*d and give n.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6762.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504*f - 15 = -507*f, 4*f - 20 = 2*g. Which is bigger: g or -178?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y - 3. Let o(g) = -5*g + 2. What is 4*o(p) + 3*s(p)?\nAnswer: -5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 6*r - 4*r - 257935*r**3 - 15855*r**3.\nAnswer: -273790*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1755)\/(-35) - 3\/21 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 22 = -4*j, -13*j + 22 = -12*j - 4*h. Solve 3*b - j*b - 6 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 84857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 47, 71, 95, 119, 143?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 34995055?\nAnswer: 34995053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 * 20.\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -706, -1416, -2128, -2842?\n\"Answer: -g**2 - 707*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/133)*b)\/(b*b**(-1\/37)\/b*b))\/(b**(-2\/29)\/b**(2\/95)) assuming b is positive.\nAnswer: b**(94247\/713545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 9. Let d(c) = -7*c + 33. Let u be d(10). Let g = p - u. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -7*a + 14*a. Solve -s = -a*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 185\/2 (b) 5\/3 (c) 26 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 6*t**2 - 3*t**2 - t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 14) to base 13\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = 3*m - 36. Sort -5, 23, m in decreasing order.\nAnswer: 23, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7601326 (base 10) to base 8\nAnswer: 34776256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 51. Let i be (0 - z) + -13 + 24. Solve 5 - 3 = -5*b - n, -2*b - 5*n + i = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1722*s. Let w(l) = 6*l**2 + 60*l + 4. Let o(v) = -7*v**2 - 75*v - 5. Let p(b) = 4*o(b) + 5*w(b). What is n(p(i))?\nAnswer: 3444*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - w + 2. Let k be r(-1). Suppose 4 = -k*f + 10. Suppose -5*y - f*c + 287 = 0, y + 5*c + 90 = 3*y. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3. Let x be v(0). Suppose 24 + 24 = -2*k. Let o be 3\/(-5)*(-32)\/k. Is o at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.913582 milligrams?\nAnswer: 0.000000000913582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8607*a**3 - a**2 - 282780*a wrt a?\nAnswer: -51642*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.13493*-0.2\nAnswer: 0.026986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15378082, -15378081, -15378080, -15378079, -15378078?\n\"Answer: w - 15378083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 131, 140, 147, 152, 155, 156?\n\"Answer: -t**2 + 12*t + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f + 2*b - 6, -3*b = 2*f - 11. Solve -7*v + f - 8 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7 = 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 3003*p\/2 - 16456.\nAnswer: -(p + 11)*(p + 2992)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 18*x**4 + 12*x**3 + 18*x**2 - 15*x.\nAnswer: 3*x*(x - 5)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 24 = -5*s, 3*s - 2*s + 4*d = 9. Let o(k) = k**2 + 6. Let t be o(s). Calculate the highest common divisor of t and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and -5928 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let l(q) = q**3 + 5*q**2 - q - 5. Let s be l(-5). Suppose -4*p = 3*f - 2*f + 34, 4*f - 2*p + 82 = s. Let v be (-4)\/f + (-138)\/33. Determine y(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10022.278+70023422\nAnswer: 70013399.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 3085*o**3 + 12327*o**2 - 9243*o.\nAnswer: o*(o - 3081)*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41078, 82065, 123052?\n\"Answer: 40987*x + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Let c(j) = 6*j**2. Let h(w) = -3*c(w) - 16*f(w). Let v = 2 - 2. Let r(n) = n**2 + v*n**2 - 2*n**2. Calculate r(h(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -j + t, -2*j + t = -29 - 2. Calculate the remainder when 49 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80464466, -80464464, -80464462, -80464460?\nAnswer: -80464458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/9947*-49)\/((-2)\/(-161)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/(6\/16). Suppose -z - 18 = -g. Suppose -8*j + 6*j = 2*t + 30, -3*t + 5*j = 53. Which is smaller: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-5 - (-5 - 0)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*q**5 - 24*q**4 + 3*q**3 + 783*q**2 + 7*q**3 - 10*q**3 + 1149*q**2 wrt q.\nAnswer: -540*q**2 - 576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**5\/20 - b**4\/12 + b**3\/6 - b**2\/2 - b. Let x = 274 - 274. Let p be r(x). Does p = -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/4*(-4)\/(-6). Let a be 0 + 0 + 4 + -4. Suppose a = 4*k - h*k. Solve -d + 0*d + 3 = k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 + 4*i. Let g = 1 - -9. Suppose -3*l + g = -2*l. Let q = l - 14. Let j(h) = 6*h**3 + 11*h. What is q*j(n) + 11*z(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 40 = -7*z. Let i = 208 - z. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107358?\nAnswer: 2, 3, 29, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*z + 4 + 2, 0 = -2*z + 2. Let h(c) = 5 + v - 7*c + 10*c - 4. What is h(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.95 take away 4668?\nAnswer: -4675.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/27727 and 71\/19106.\nAnswer: 2273614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869633477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -12*n + 16. Suppose -n*h - 145 = -7*h. What is the remainder when 56 is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h**2 - 3*h**2 - h**2)*(-2 - 3 + 3) + 10*h**2 + 4*h**2 - 3*h**2)*(3*h + 5*h - 4*h).\nAnswer: 76*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-32)\/54 + 14\/21).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214144148 smaller than 214144149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0)\/((-1)\/(-6)*6). Solve 5*t + 3*w + 15 = o, -3*t + w = 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5902063 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 9*i + 3*i - 257*i**3.\nAnswer: -257*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 13 - 1 - 1. Let y = -30 + c. Calculate the common denominator of (-15)\/y + (-13)\/(-6) and -37\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p + 0*p - 6*p - 3*p. Let u be n(0). Let m(s) = -s**2 - s + 5. What is m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2543, 2541, 2539?\nAnswer: 2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2339154 or 2339018?\nAnswer: 2339018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 1. Suppose 8*k - 3 = 9*k. Let b be w(k). Let y(a) = a + 6. Let v be y(-5). Which is greater: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1008085 and -0.18.\nAnswer: -181455.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172112478*t**2*y + 2*t*y + 4*t + 1439452*y - 4 wrt t?\nAnswer: 344224956*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*(-3388)\/(-4158)*(-3)\/(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -341 - -359. Solve 2 = -3*v - 2*i + s, -i = -4*v + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 905.8877 millennia?\nAnswer: 9058.877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -38. Let h = 23 + g. Let m = 13.58 - 7.58. What is the second biggest value in -2\/3, m, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (3 + (419 - -2)). Let b = -3839\/9 - g. Sort -2\/3, 0, b in increasing order.\nAnswer: -2\/3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29\/4 - 27\/4. Let o = -0.4 - -1.4. What is the closest to o in -2, 2\/3, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 3. Let g be z(-3). Let w be 6\/(9\/6*1). Let b be -2 - -1 - w\/(-3). Which is greater: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23423, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058232 a multiple of 930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 655 + -341. List the prime factors of c.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11 - 5*g**2 - 2*g**3 + 3*g**3 - 9*g + 2 + 14*g**2. Let b be j(-10). Suppose -2*d = d - b. Solve 3 = -c - d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53752 is divided by 618?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 7*b**2 + 7*b - 3. Let j be h(6). Differentiate 109 - 105 + 7*u**j + u**3 wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/18 and 47\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -21*c**2. Let l(v) = -2*v**2 + 24136*v + 4. Give l(n(z)).\nAnswer: -882*z**4 - 506856*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**5 - 7860*c**4 - 3283630*c**3 - 154081540*c**2 - 2544241845*c - 14205644720 = 0.\nAnswer: -769, -752, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -337 - -359. Let m(h) = h**2 - 1. Let l be m(0). Calculate the remainder when c is divided by (2*3)\/(2 + l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 104837?\nAnswer: -209674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 278 times 3930\nAnswer: 1092540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b + 6*b = 0. Solve b*t + 5*t - 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1241501 - 100?\nAnswer: 1241401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -17351.\nAnswer: -5\/17351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s. Suppose 1522 = -s*m + 2*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + 1204\/129. Solve 2*j + 32 = 7*j - 4*d, 0 = -3*d - g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h = 225. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/47 in 16.6, -0.07, -54?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26750, -52614, -78478, -104342, -130206, -156070?\n\"Answer: -25864*t - 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(-18)*w*w*w)\/w*w)\/w**(-6))**(-22) assuming w is positive.\nAnswer: w**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 6:40 AM?\nAnswer: 363","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 1.37395 times -2\nAnswer: -2.7479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1\/5)\/(6\/(-105)). Solve 5*i = b + 17, 2*i - z - 6 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5257 and -6.64.\nAnswer: -10.130648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gllxhjzglllgx. What is prob of sequence lg?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -30283.\nAnswer: 545094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74371669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1900447 (base 10) to base 5\nAnswer: -441303242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 3*k + 920 = 152 for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2579, 9901, 22019, 38933, 60643, 87149, 118451?\nAnswer: 154549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -98. What is the third biggest value in i, -4, -0.3, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 4*w**2 + 3. Let v be c(4). Let g be v\/((-6)\/(-20)) + -1. Suppose 3*l - 82 + 28 = 0. What is the highest common divisor of l and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 16*y**2 - 5*y + 2. Does 8 divide l(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 10. Let b be y(-7). Suppose 119 = -10*o + b*o. Calculate the remainder when 46 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 368 = 792. Let t = i - 113. Calculate the least common multiple of t and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53131591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 12:27 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114372 is divided by 1200?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46237, 46238, 46249, 46276, 46325, 46402, 46513, 46664?\nAnswer: 46861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkvq when four letters picked without replacement from kkqqqqkkvqqqqkkqkkq?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 26 = -5*s + 67, 7 = d + s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757118708 to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -90*x. Let n(z) = 2*z. Give c(n(k)).\nAnswer: -180*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - 2*sqrt(38))\/sqrt(2) + -2 + (sqrt(304) + -3 + sqrt(304)*-2)**2 + -1.\nAnswer: 23*sqrt(19) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = 6. Let w = 23 + -20. Suppose 6 + f = 3*k + j, 3*j = w*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from samqssussso. What is prob of sequence us?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 4. Let n(j) = -j - 3. Calculate -5*n(r) - 4*s(r).\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**2\/2 + 2*k. Let u(f) = f + 4. Let n = -42 + 41. Determine n*u(t) - 6*s(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(104)\/sqrt(2))**2 - sqrt(52)) + sqrt(52) - (sqrt(208)*3 - sqrt(208))).\nAnswer: -208 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -5135?\nAnswer: 5122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/11 (b) -4 (c) 0.8 (d) -31\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - o + 8 + 8 = 0, 5*n + o + 24 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**5\/90 + c**4\/6 - 7*c**3\/9 + 5*c**2. Solve a(x) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 19. Solve 2*a - 4*a - x = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -17 + -20 + 1 - -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 479, 478, 477, 476?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 197 = 3*i - 1673, 0 = -4*i - 2*r + 1954. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*l + 288 = 134*l. Solve 3*d - 2*t + l = 2*t, -2*d + 3*t = 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -984119 + -1066119224?\nAnswer: -1067103343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32 and 117.\nAnswer: 3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 440932500 rounded to the nearest 1000000?\nAnswer: 441000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.93 - 0.93. Which is the closest to -1? (a) 0 (b) z (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 34, 86, 158, 250, 362, 494?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(304) + -1.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 3. Suppose 0 = 4*u - 20, 0 = 3*q + 6*u - u - 43. Let y be t(q). Suppose -b + 12 = y*b. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.29 in -5, -35, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*f = -321, 0*j - 2*f = -2*j + 138. Suppose s - 120 = 3*r, s - 2*s = 4*r - 99. What is the highest common factor of j and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 0 + 2*z**2 - 3 - z**2 to o*z + p + w*z**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + b)*(-4 - 6 + 5) + 3*b - 2 + 2.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -71, -79, -87?\n\"Answer: -8*n - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15331040 to the power of 1\/2, to the nearest integer?\nAnswer: 3915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k**2 + 6*k - 3. Let p(r) = -19*r**2 - 12*r + 5. Let b(m) = -3*p(m) - 5*y(m). What is the second derivative of b(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 34 + 174 = 5*d - 5*l, 6*l = 3*l - 3*l - 14*l for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704924 and 302401.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**3 + 379*r**2 + 112*r - 1603. Let x be u(95). Let w = 0.2 + -0.7. Let y = -6 + 5. Put y, -2\/9, x, w in decreasing order.\nAnswer: x, -2\/9, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/143 - 160\/(-26)) + -4. Solve -b*s + 8 = -0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*f + 2835, 0 = f + 5*k - 604 + 15. Let t = 2966 - f. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311.82 + 312. What is the smallest value in r, -0.1, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/3888 and -157\/19440.\nAnswer: 19440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36290275, 36290277, 36290279?\nAnswer: 36290281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -1091 + 896. What is the greatest common factor of n and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809739\/8 greater than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6017 (base 9) to base 3\nAnswer: -20000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2506, -0.5, -1, -2\/65 in descending order.\nAnswer: 5, -2\/65, -0.5, -1, -2506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 8\/2 + -1. Let f(a) = a**2 - 4. Let c be f(j). Suppose 4*h = -5*v + c, -2*h + v + 14 = 1. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4.9 (b) 0 (c) -71 (d) 6951\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = 7*k - 168. Calculate the least common multiple of k and 266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 9. Let d be l(6). Suppose -7*a + 210 = d*a. Let t = a - -49. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119361.\nAnswer: 3, 11, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.727 to 1 dp.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 366 - 189. Let x = u + -65. What is the highest common divisor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:59 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 6*n + 8749*n**3 - 36204*n**3 + 4*n.\nAnswer: -27455*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 1, e: 4, l: 1, h: 6}. What is prob of picking 1 z and 2 h?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 235 - 1455114?\nAnswer: -1454546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 451420 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (98\/196)\/(1 - 21\/2 - -2). Do x and 37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzmtmot. Give prob of picking 2 m and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600787442.\nAnswer: 2, 59, 1109, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-1) - (1 - 9). Suppose 5*c = -2*o - 43, -o + 7 = -4*o + s*c. Let l(m) = -m - 7. Give l(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -203 - 7a6571?\nAnswer: -7a6774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 36592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d - 53 = -3*k, -26 = -2*k + d. Suppose -3*u + j = 8, k*u - 3*j = 14*u. Which is the second biggest value? (a) -33 (b) 2\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + -2*(sqrt(300) + -5 + sqrt(300)*-2 + sqrt(300) + (sqrt(300) + 2 + sqrt(300))*4)))**2.\nAnswer: 80640*sqrt(3) + 2766564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5*j)\/(((j\/j**(-5))\/j)\/j))**(-25)\/((((j**(-1\/2)*j)\/j)\/(j*j**3*j*j))\/(j*j**8*j*j\/(j*j\/((j**0*j)\/j)*j))) assuming j is positive.\nAnswer: j**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 16490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)\/sqrt(64)*-6*-5.\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1276802*q**4\/7 - 779824*q**3\/7 + 11656608*q**2 + 49908736*q\/7 + 7620608\/7 = 0.\nAnswer: -8, -244\/799, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449800.\nAnswer: 2, 5, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-17 - -10 - -24 - 17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 216365669 divided by 6509\nAnswer: 33241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g + 13*g - 16236. Calculate the least common multiple of 2 and g.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206 divided by -6\nAnswer: 103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26744, -26715, -26658, -26567, -26436, -26259, -26030?\nAnswer: -25743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f - 807. Give s(-59).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3751, -7519, -11289, -15061, -18835, -22611, -26389?\n\"Answer: -q**2 - 3765*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2686*w**2. Let d(g) = 1331*g**2. Give h(d(u)).\nAnswer: 4758412846*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11002*m + 11005*m = 5*d - 73, -3*m + 3*d - 63 = 0 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 894?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.209 + 67.209. Which is the nearest to 4? (a) 5 (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + k = -26, -410*s + 412*s - 16 = 2*k for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 117 = 7*p. Let f be (-3)\/(-2)*(-44)\/(-3). Calculate the greatest common factor of f and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 810198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345267 is divided by 834?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 2. Let b be v(-9). Suppose b = 3*l + l. Suppose 4*u + 4*t - 48 = 0, l*u = -2*t + 7*t + 40. Calculate the greatest common divisor of 15 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1063310?\nAnswer: -1063310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1457, 2617, 3475, 4031?\nAnswer: 4285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-6)*(-9)\/2. Suppose -6*u + 263 - 11 = 0. What is the highest common factor of w and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1620, 5747, 12592, 22119, 34292?\nAnswer: 49075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 94 - 83 + q + 0*q. Let r be h(-8). Solve 2*x - 3*g + 14 = 0, 0*x - 2*g = -r*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6504.981 kilograms to micrograms.\nAnswer: 6504981000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4137131057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 523291.5mm in meters?\nAnswer: 523.2915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -101450*s - 811607. Calculate i(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -33336*k + 12601015. What is v(378)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -340, -646, -938, -1210, -1456, -1670, -1846?\n\"Answer: l**3 + l**2 - 316*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -20 (b) -4 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2418.478684 and 321.25?\nAnswer: 2739.728684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 590, -6, 3, -1.\nAnswer: -6, -1, 3, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 52. Let m be (0 + 16\/2)*g\/4. Calculate the common denominator of (12\/(-50))\/((-2)\/(m - 16)) and -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1234.66 + -1203.9. Round k to zero dps.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 9*u**2 - u - 19. Let o be i(-9). Let q = -0.48 - -0.38. What is the closest to o in 4, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 44751364\nAnswer: 1\/22375682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**(-2\/5)*w**11*w\/((w*w**(3\/4))\/w*w) assuming w is positive.\nAnswer: w**(207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 0.74 (b) -3 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**5\/10 + 3*p**4 + 25*p**3\/6 + 23*p**2\/2 + 4*p + 1. List the prime factors of t(18).\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2049, -2050, -2051, -2052, -2053?\nAnswer: -2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or -1.1471?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17646, -70599, -158858, -282423, -441294, -635471, -864954?\n\"Answer: -17653*d**2 + 6*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (4 - (16 + -50)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/15)\/w**(-32) assuming w is positive.\nAnswer: w**(481\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -64 + 40 + (3 - 6) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 206 = 14. What is the greatest common divisor of 33 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 16 = -2*s - 2*s, 3*d - 8 = -2*s. Let v = 12 + -7. Let l = 5.5 - v. Which is the smallest value? (a) l (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1003*x + 6424*x = -51179 + 1068678 for x.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2))**(-37\/3) assuming t is positive.\nAnswer: t**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.028 - -0.132. What is u rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18866*t**3 - 13*t**2 + 4*t wrt t?\nAnswer: -113196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2281*i + 90. Let k(b) = 2280*b + 120. Determine 6*k(r) - 8*v(r).\nAnswer: -4568*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-310)\/(-100) - 6) + 3. Which is the nearest to -0.1? (a) x (b) 1 (c) 1.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -918 bigger than 20.69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 c when four letters picked without replacement from sccssscsssssssssssc?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*m + 5226 = -1345*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -52918.53 to the nearest 1000.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-2)*99*204\/(-1377)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 5. Let h(k) = 2*k + 4. Let v(r) = -5*h(r) + 4*w(r). Let x be v(-1). Solve 3*i = -2*u + 7, -3*u + x*u - 5*i + 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 2*l + 1. Let o be g(-1). Suppose t = -o*t + 2. Let c(m) = 4*m**2 + m - 2. What is c(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i + 1310. List the prime factors of (-2)\/(-7) + i\/14.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 2*l**2 - l - 3*l**2 + l - l + (1 + l - 1)*(-l + 0*l + 2*l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4711156?\nAnswer: 2, 137, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x**2 + x + 4. Let o be a(0). Suppose -20 = -5*u + o*r, -4*u - 2*r = -2 - 14. Let p(t) = 2*t - 5 - u*t + 1. Determine p(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/(-63) + 12\/21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 3. Let c be l(13). Let h(u) = 62*u + 71. Let q(y) = -312*y - 356. Let z(k) = c*h(k) + 3*q(k). Find the first derivative of z(x) wrt x.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -2 (c) 3 (d) -7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -8. Let c(p) = p**3 + 25*p**2 + 27*p + 69. Let h be c(-24). Which is bigger: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 = 4*s. Let t(h) = -7*h - s*h - h**2 + 6*h + 0*h + 3. Determine t(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 164132*j + 5088096. What is a(-31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82805030 and 1564519?\nAnswer: 3395006230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 5. Let x be d(5). Suppose x = -3*f - 2*f. Suppose f = -4*o - s + 51, 2*o - 39 = -2*o + 3*s. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4872 and 54.\nAnswer: 43848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675539.\nAnswer: 675539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -21, 20 in ascending order.\nAnswer: -21, -7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -6. Let n(l) = -6*l - 8*l + c*l. Let j(t) = -9*t. Determine n(j(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 100369127 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 11 - 8. Suppose -y*f - 5*j = 66, -110 = 2*f + 3*f + 2*j. What is the units digit of (-4)\/f + 1868\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/403642 and -113\/42.\nAnswer: 8476482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 5012.97?\nAnswer: -5015.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**3 + 12*l**2 - 3*l + 4. Let j(u) = -7*u**3 - 11*u**2 + 2*u - 4. Let f(c) = 7*j(c) + 6*x(c). Give f(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46142 is divided by 11507?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 5) in base 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2862 and 0.1.\nAnswer: -286.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*d - 3*d + 3*d + 3*d = -27, -3*m - 108 = 75*d for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 11:30 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 928*o**2 - 47*o**2 + 348*o**2 + (-2*o + 3 - 3)*(-o + 2*o + 0*o) + 2*o**2 - 2*o**2 - o**2 to the form p*o**2 + i + j*o and give p.\nAnswer: 1226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -43 - 10\/3*d**3 + 0*d + 8*d**4 + 0*d**2. Find the third derivative of n(f) wrt f.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - y**3 + 0*y**3)*(-3*y + 0*y + 5*y) + 5*y**4 - 2*y**4 - 2 - y**4 + (-3*y**2 + 14*y**2 + 7*y**2)*(y - y - 3*y)*(5*y + 0*y - y).\nAnswer: -216*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 81 = -3*t. What is the highest common divisor of t and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbeeiep. What is prob of sequence pp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x + 2 + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 9. What are the prime factors of r(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 162882.4kg?\nAnswer: 162882400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:31 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -308 + 211. Let l = r + 97.000063. Round l to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 761791049 to the nearest integer?\nAnswer: 27601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 6141 + 6141.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + r = -14, -2*r - r + 3 = 0. Suppose -5 = -g + a - 3, 12 = -s*g - 3*a. What is the tens digit of -5 + 4 + 0 - g*71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -2*-1*sqrt(170) - sqrt(170)) + sqrt(170) + sqrt(170))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9874*u + 286319. Calculate d(-29).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 15*m = 13*m + 2240, 0 = 2*m. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 25*w. Let n(u) be the third derivative of u**5\/30 - 2*u**2. Give d(n(b)).\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23892551 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 + 9*j**2 + 19*j + 7. Let t(z) = z**3 + 5*z**2 + 9*z + 4. Determine -4*k(v) + 7*t(v).\nAnswer: -5*v**3 - v**2 - 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 445.6616 centuries in millennia?\nAnswer: 44.56616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 517 - 517. Suppose 3*i - 2*o - 784 = v, 11*i = 10*i - 4*o + 266. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -6*o - 5*l, -214*o = -216*o + 4*l + 52 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 31. Let k be 17 - (-1 + a) - -3. What is the highest common factor of 24 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -5, 8, 37, 88, 167, 280, 433?\n\"Answer: g**3 - g**2 - g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 2:31 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 - 2*c - 1. Let n be v(-2). Let s be (0 + (-1 - n))*-47. Suppose -2*b + s = 5*k + b, -2*k + 139 = 5*b. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p**(2\/9)*p))*p**(1\/11) assuming p is positive.\nAnswer: p**(130\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -389 + 594. List the prime factors of p.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11567 and 7568.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*o - 153*o - 32 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 513, -0.5?\nAnswer: 513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - z - 5*z**2 - z**2)*(-4 + 4 - 2*z)*(-12*z**2 + 8*z**2 + 10*z**2).\nAnswer: 36*z**5 + 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 74*j**2 + 0*j + 0*j**3 + 1\/24*j**6 - 13\/12*j**4 + 0 + 1\/10*j**5. Find the second derivative of n(i) wrt i.\nAnswer: 30*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + 9*i - 2. Let g(u) = 3*u**3 - 8*u + 2. Calculate -6*b(c) - 7*g(c).\nAnswer: -9*c**3 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*((-11200)\/665 - -16) + -11.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2. Let j(m) = -m**2 - 3*m + 5. Let u be j(-4). Suppose 5 = 2*i + u. Let t(d) = 5*d**2 - 4*d**2 + 2*d**i. Determine b(t(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234199199 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 218 + 1?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**6\/60 - 103*a**5\/210 - 5*a**4\/14 - 11*a**2 - 11. Factor x(g).\nAnswer: 2*g*(g - 15)*(7*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k + k)*(-5 + 13 + 10)*(5*k - 5*k - 2*k**4).\nAnswer: -144*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i**2*i*i*i)*i)**36*(i**0)**(4\/17))**(-1\/6))**19 assuming i is positive.\nAnswer: i**342","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(5\/6)*l**13*(l*l\/l**(-10)*l)\/(l\/l**12) assuming l is positive.\nAnswer: l**(239\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 2. Let k(o) = -2*o + 1. What is 7*k(r) - 5*y(r)?\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 19 + -15 - (-12 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9ba - 282?\nAnswer: -c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j + 4 = 0. Let w be 3 - (-1 - j\/1). Factor 0*a + w + 1\/3*a**3 + 1\/3*a**2.\nAnswer: a**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0 - sqrt(5))*-2 + 0 + (sqrt(40) - sqrt(160))\/sqrt(2))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581874 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.044 - -0.044. Which is the nearest to -1? (a) 4 (b) k (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 + u. Let o(f) = -4*f**3 + 3*f**3 + 356*f - 2 - 6*f**2 - 363*f - f**3. Calculate -6*h(x) - o(x).\nAnswer: -4*x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 6)*-7 + 370. Let n = 191 + k. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.72 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -27124 + 27124 + 233*g**2 + g in the form d + v*g**2 + m*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -4 + 7 - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = l - 6*l + 101, 4*u - 2*l = -194. Let a be ((-1)\/2)\/(8\/u). Suppose 0 = a*p - 2 + 8, 5*c - 3*p - 6 = 0. Which is smaller: -3\/17 or c?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2 - 12*o - 21. Is l(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w + 29. What is the remainder when 154\/5 - ((-78)\/15 - -6) is divided by x(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 80*g - 507. Calculate w(8).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234 - 28*a**2 + 119*a**2 + 234 + 18*a**2.\nAnswer: 109*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -328 and 6?\nAnswer: -1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/152 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*n - 39, 0 = 2*d + n + 4*n - 24. Suppose -2*s - 14 + 2 = 0. Let r = s + d. Let f(k) = -k + 1. What is f(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12577987 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 1 - 14)*(9*l**2 - 6*l**2 + 9*l**2).\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1049*y + 3481*y + 3812*y.\nAnswer: 6244*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 435 - 281. Let y = -110 + t. Suppose -y = -n - 3*n. What is the highest common factor of n and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**3 + 2*b**2 + 3*b - 2. Let p be 46\/(-69) + 28\/6. Let h(m) = -5*m**3 - 3*m**2 - 4*m + 2. Determine p*k(i) + 3*h(i).\nAnswer: i**3 - i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -414a (base 12) in base 2?\nAnswer: -1101111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*l - 796*l = -4, 5*p - 4*l + 13 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 900 (b) 15 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 + (9 - -9) - 4 and 62\/6 + (-4)\/12.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960 (base 14) in base 3?\nAnswer: 20022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94469*f = 94157*f + 29016 for f.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2200.9 + -1990. Let k = 211 - f. Sort -1, 3, k in descending order.\nAnswer: 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (8 - (24 + -9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Suppose l = -0*l - i. Let r = l + 6. Solve 23 = r*p + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:19 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193788, -193930, -194072, -194214, -194356, -194498?\nAnswer: -194640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, d: 1, e: 1, o: 3, x: 6}. Give prob of picking 2 w and 1 d.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 141838464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.91857 micrometers in centimeters?\nAnswer: 0.005391857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*f**2 + 101*f**2 + 92*f**2.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 79771612*-0.2\nAnswer: -15954322.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244859 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:06 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a - 1?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1898 - 1883. Solve 5*p - 3*s = -35, 40 = -20*p + a*p + 4*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4*1\/(-2)). Let n = 7 - 7. What are the prime factors of l - (n + 3 + -13)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -2. Let k = 10 - g. List the prime factors of (-6)\/4*52\/k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 0.1. Let a = 0 + -0.5. What is the closest to 0.1 in i, a, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32\/2241767 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5414 - 5394 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7082, 14172, 21270, 28376, 35490, 42612, 49742?\n\"Answer: 4*x**2 + 7078*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 285748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13*u**3 + 7*u**2 - 3*u - 6. Let o(c) = 16*c**3 - 9*c**2 + 4*c + 7. Let g(b) = 6*j(b) + 5*o(b). Calculate g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15439808029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 29 = -5*b, -7*b - 16 = -3*b + f. Suppose 0 = -4*x + 4 + 8. Put b, x, 1 in ascending order.\nAnswer: b, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5208 = 5*o - 5262. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.1 - 14.1. Let z = 24.5 - 24. Suppose 9 = 5*v + 29. Which is the biggest value? (a) f (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 148*f + 383 - 514*f - 145 - 2*f**4 + 84 wrt f?\nAnswer: -8*f**3 - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1947 is divided by 391?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1219\/(-318)*4)\/((-4)\/18*-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 23 = -h - 9, 2*l + 12 = h. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4161, 4207, 4253, 4299, 4345, 4391?\nAnswer: 4437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + x + 1)*(-4 + 2 + 1) + (x + 2*x - x + (-3 - 3 + 4)*(5*x - 4*x - 3*x) + 11*x - 11*x + 4*x)*(-2 - 2 + 1).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*i + 1684*i = -101*i + 352*i + 86779 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*4\/6. Let s be (r - -1) + 0\/1. Suppose 4*g + 4*w - 44 = s, 3*g - 4*w = -25 + 79. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 19*l = -91, -3*s + 7*l + 568 - 531 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let w = -861 + 879. Suppose 0 = -2*x - 3*t + 2, 3*x - 22*t + 19*t = w. What is the nearest to x in s, -1\/3, 1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b\/((b*b**(9\/2)\/b)\/b))\/b*b*b)*b*(b*b\/(b\/(b\/(b**(2\/5)*b))*b*b))\/b*(b**(-2\/23))**(-39) assuming b is positive.\nAnswer: b**(1033\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -378? (a) -0.05 (b) -0.3 (c) 0.02 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 times -10?\nAnswer: -3520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2072 + 2375. Is 302 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 5*t + 9. Let p be q(5). Suppose -n + 0 = 4. Let u = n + p. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 14\/3, 2852617?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-3)\/((-3)\/5). Let w(m) = -2*m - 9. Let t(q) be the second derivative of -2*q**3\/3 - 19*q**2\/2 - 2064*q. Calculate k*t(b) - 13*w(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.554 * -228.\nAnswer: -354.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-53400)\/(-9))\/(-4))\/((-3)\/(-72)). What is y rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 108?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppoofppppipfpipppppo. What is prob of picking 2 o?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/63? (a) 1\/4 (b) -153 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76920?\nAnswer: 2, 3, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-572)\/286)\/((-13)\/((-1183)\/(-14)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 918225 and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 5*x**2 - 8*x - 9. Let f be d(-6). Let n(z) = -z + 0*z + f*z - 5 - 3*z. Suppose 5*s - 12 = 8. Calculate n(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-4)\/22 + (-101)\/(-11). Suppose 0 = 12*k - r*k - 75. Solve -8*w - k = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 210*r + 5. Let x = 64 + -55. Let l be (-1*x\/(-6))\/((-8)\/(-16)). Is v(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 136 + 53 + 38 + 45.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54*((-13)\/2 - 3). What are the prime factors of (-4)\/(-6)*g\/(-18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*a = -74*a - 3*t + 84, 188 = 2*a - 4*t. Calculate the highest common divisor of 2358 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - 115335?\nAnswer: -115422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0379353 rounded to 4 decimal places?\nAnswer: 0.0379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7 = v, 4*v - 7 - 7 = y. What is the least common multiple of 11 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 778.8436 litres?\nAnswer: 778843.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from wwcc.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 3)*-3 + 49. Suppose -b = -9*v + 8*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggrg when four letters picked without replacement from {r: 2, g: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13188, 52759, 118718, 211059, 329776, 474863?\n\"Answer: -g**3 + 13200*g**2 - 22*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -4*(-3 - (-44)\/16). Let z be -4 + -1 + k - -12. Solve -2*j + z = 0, 2*j = -3*v - 2*v + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*w**4 - i*w**3 - 3087*i wrt w?\nAnswer: 8*i*w**3 - 3*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -9. List the prime factors of -1 + (-857)\/t - (-2)\/12.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*d + 843*d**3 - 422*d**3 + 1 - 2*d**2 - 413*d**3 to j*d**3 + a*d + o + p*d**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21623468?\nAnswer: 2, 5405867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 + -128. Suppose -5*i = -v + 109, i + t = -3*i - 3*v. Let d = i + 39. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 221700*g + 4877400. What is u(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 plus -28824?\nAnswer: -28827.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21536417 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-11 + -13 + 18 - -17) + 1 + -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/3*12. Suppose 11*l - f*l = 1755. Suppose -d = -5*d, -l = -3*m - d. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 - 2*j + 2. Let r(m) = -16*m**2 - 11*m + 11. Calculate 11*q(t) - 2*r(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -59214770 and 3?\nAnswer: 59214773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209812023 to the nearest integer?\nAnswer: 14485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 138863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - -1 - (0 - 2). Let h = 18 - x. Solve 2*n = -s - h + 2, -4*s - 28 = 4*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101100101 + 302?\nAnswer: 101101003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 3*q + 3. Let v be l(-3). Let s be (-14)\/(-8) + (-2)\/(-8). Suppose a - 180 = -4*a. Solve 4*t = 5*c + 40, -s*c = -5*t + a - v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64840 and 15623198?\nAnswer: 312463960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -317 = -318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 4. Let i(z) = 4*z + 12. Let r(o) = -i(o) - 3*j(o). Let n(y) be the second derivative of 4*y**4\/3 + y. What is r(n(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -738858, -1477718, -2216578, -2955438?\n\"Answer: -738860*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -3\/4 (b) 3 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -642079, -1284091, -1926101, -2568103, -3210091, -3852059, -4494001, -5135911?\n\"Answer: w**3 - 5*w**2 - 642004*w - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -382 + 387. Suppose 2*h = -2*i + 116, n*h - 173 = 3*i + 93. Sort h, -5, -1 in decreasing order.\nAnswer: h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -39*z + 820. Give t(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.24 and -1631698486.\nAnswer: -1631698493.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4012 + 7117. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 4:53 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f)**48 assuming f is positive.\nAnswer: f**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - (6 + 8) - (-5 + 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 2447.\nAnswer: -2447.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06759174 minus -2270?\nAnswer: 2270.06759174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/280 - n**5\/140 + 4*n**2. Factor r(x).\nAnswer: 3*x**2*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1036 divided by 2.\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -115*b - 266 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8200 + 13655 = 279*c + 296*c - 110*c for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92861705?\nAnswer: 5, 113, 164357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 37. Let g(v) = -1337*v**2 + 5*v - 767. Let s(j) = g(j) - 6*w(j). What is the second derivative of s(b) wrt b?\nAnswer: -2674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 + -78. Let m be ((-2)\/(-4))\/(12\/s). Suppose 2*c - n - 39 = 4*n, 0 = -m*c + n + 51. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 51. Suppose 0 = -8*l + 4*l + 168. Let b = j + l. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/27 + 4\/(-18). Suppose k = 3*b + 2*x - 10, -5*b - x + 14 = -5. Solve -15 = b*d + d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s. Let r(k) = -202*k - 14 + 4 + 201*k - 5 - 17. Calculate r(g(p)).\nAnswer: 9*p - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3847*z**3 + 4834*z**3 - 8682*z**3 + 32*z.\nAnswer: -z**3 + 32*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -10 (b) -2\/13 (c) 3\/7 (d) 2\/15 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*q - 0 + 56 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 47 - 63. Let w be (-12)\/(-2)*2\/4. What is the tens digit of w*q*22\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*w + 4*w - 3*w + (4 + 0 - 5)*(0*w - 4*w + 2*w) in the form r + p*w and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 3*d**2 + d - 8. Let w be o(6). Let y be -9 - -11 - (w - 0). Let i = 885 - y. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -0. Is ((-996)\/15)\/(d\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*j - 29 = -1, 20 = 5*j. Suppose 0 = -3*m - u*m. Let d(q) = 5 - 6*q - 3 + m*q + 7*q. Let l(c) = -5*c - 11. Determine -11*d(f) - 2*l(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 58737 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 0*u - 2 + 2*u)*(0*u - 2*u - 2*u) in the form b*u + f + a*u**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + 1 + 2 - 2 + (-2 + 3 + 1)*(-4 + 4 - 1) - 1 - 5 + 1)*(-12*f - f**2 + 12*f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1155 + 1527186560.\nAnswer: 1527185405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 73, 86, 99, 112, 125?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 = 34*f + 92 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 1. Let h be d(-4). Find the third derivative of -12*c**6 - h*c**6 + 10*c**2 + 3*c**2 wrt c.\nAnswer: -2760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110011 + -110?\nAnswer: 103301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 7822, 3\/2, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -4.03. Let x = 181 + -159. Suppose x*s + 20 = 18*s. Which is the second biggest value? (a) h (b) s (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 19*s**2 - 41*s - 82. Calculate j(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 + -116. Let d = n + 14. Solve 14 = d*h - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(45\/3)*125*(-913)\/275.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 3*w + 17*w - 4*d, 9*w - 14*w - 2*d + 24 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (486\/324)\/((-3)\/20) - -40?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*i**3 - 3147*i**2 + 189*i = 0. What is i?\nAnswer: -63, 0, 3\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (0 - 0) - (-43 + 16 - -24)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18836 plus 0.36249967?\nAnswer: 0.55085967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8 = 0, 4*h - 5*q = 2*h + 16. Let u(y) = -7*y. Let d be u(-4). Suppose -32*r + d*r + 8 = 0. Solve o + h*o + 5*w - r = 0, 0 = 5*o + 5*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 127*m**2 - 843*m - 10051. What are the prime factors of c(-12)?\nAnswer: 18353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3769692 is divided by 201.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*q + 112 + 1238, -3*q - 1350 = -5*o. What is the least common multiple of 2610 and o?\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 + -96. Determine v, given that v**3 - 5*v**3 - 59*v**2 + 41*v**2 + z*v**4 - 11*v**4 + 8*v**5 - 4*v = 0.\nAnswer: -2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 15 - 48 + 96 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468 (base 11) in base 6?\nAnswer: 12425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-8 + 12 - (-1 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 89 (b) 1869 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 18872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:55 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a. Let f be p(1). Suppose -5*l + f*l - 45 = 0. Let q(u) = u + 9. Let c be q(l). Solve n = -2*h - 3, c = -h - 4*n + 2 - 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 - 716 = 5*s. Let u = s - -113. Suppose -8*a = -7*a - u. Solve -4*f + a = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 19*s + 3 - 378*s + 46*s as b + i*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80\/(-30) + 3\/(-9) + 1. Which is the closest to -1\/4? (a) -10.8 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, -7, -4\/5, 1\/4, -0.1.\nAnswer: -7, -4\/5, -0.1, 1\/4, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + 12*m**2 - 9*m**2 + 0*m**2 + 12.\nAnswer: 3*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 2. Let a be z(3). Let o = 0 + 2. Let v(n) = -n**2 - 1. Let c be v(2). Sort c, o, a.\nAnswer: c, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -180, -3, 0, 2 in ascending order.\nAnswer: -180, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.076 + 0.04. Round h to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o = 33. Let p(b) = 21*b - 79. Calculate the lowest common multiple of o and p(4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -798, -1595, -2390, -3183?\n\"Answer: f**2 - 800*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*u - 2*h, 0 = -4*u - u - h - 26. Let f be (-4)\/u*(-9)\/(-2). Suppose 0 = f*t - 0 - 12. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 6. Suppose -7*l**2 - 9*l**2 + 4*l - 2*l**4 + 0*l**4 + 6*l**2 + 8*l**g = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29187*k*o**2 - 5*o**2 - 2*o + 140 wrt k?\nAnswer: 29187*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-195)\/(-27) + (-18)\/81. What is the greatest common factor of 112 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 5, 7.3, -25, -0.1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:09 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 8*o - 7. Let m be n(-5). Suppose -2*h + h = u - 9, 4*u - 12 = 0. Suppose -h*p = -m*p + 192. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3940 is divided by 1312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -11, 7, -5 in decreasing order.\nAnswer: 7, -5, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -390923\/28 + 13964. Find the common denominator of a and 20\/(-26600)*8519 - 12\/(-114).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32224 (base 6) in base 5?\nAnswer: 120113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-8 + -5)) + -12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 17*p - 31*p. Suppose -63*j + p*c + 13 = -62*j, 5*j + 2*c = 5. Factor -3\/4*z**4 + 0*z - 27\/4*z**2 - 9\/2*z**j + 0.\nAnswer: -3*z**2*(z + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 62, 97, 124, 137?\n\"Answer: -m**3 + 5*m**2 + 29*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313520471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/230 and 62\/5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2576953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 486 divided by 18\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/(-12) + 3 + 1444400\/75 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 22 = -w, 2*f + 1 = -w - 25. Let z = w + 24. Does 41 divide 2242\/10 + ((-2)\/10 - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/((-42)\/6)*1\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3) + -2*2\/(-1). Solve n*o - 2 = 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/31, -3\/4, -18, -0.3, -21, 3 in increasing order.\nAnswer: -21, -18, -3\/4, -0.3, -2\/31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128167 and 78872.\nAnswer: 1025336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34064? (a) 1 (b) 10 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4441 + -4289. Solve -r*y + 9 = -155*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5 - 2220*d**4 - 29250*d**3 - 88140*d**2 + 29247*d + 90360 = 0 for d.\nAnswer: -8, -5, -1, 1, 753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 47\/4 of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 14 = 3*d. Let p be (1*-1)\/(((-28)\/d)\/32). List the prime factors of 100\/p*(3 - (-2)\/10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 69 + 5*s + s)*(3*s**4 - s**4 - s**4) - 3*s**2 + 6*s**5 - 18*s**5 + 10*s**5.\nAnswer: 4*s**5 + 24*s**4 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 21*b**3 - b. Determine a(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 627*t + 25956. Give m(40).\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 8 + -9 + -4 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azaz when four letters picked without replacement from {z: 4, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 251f (base 16) to base 12\nAnswer: 55bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (21209 - 0) + (-5296)\/(-662)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 233. Let q be 4\/(-10) - u\/30. Suppose -w - 3*x + x = -1, -q = 4*x. Solve -2*l + 22 = w*h, 0 = 5*h - h - 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*h + 83, -8*d - 104 = -6985*h + 6981*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.999677ng in tonnes?\nAnswer: 0.000000000000005999677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.08 (b) -4 (c) 2 (d) -0.1 (e) -3 (f) 7 (g) -808\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/260*8)\/(((-4)\/70)\/((-656)\/(-1148))).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**8\/210 + f**5\/20 - f**3 - 17*f**2. Let a(b) be the first derivative of i(b). Find the second derivative of a(q) wrt q.\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107600 and 40350?\nAnswer: 322800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3073000 to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34287 divided by 1.\nAnswer: -34287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2)*280\/1400)\/((-5)\/(-220))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*l + 53*l = -35571. Suppose 5*y = l + 8858. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*u**5 + 4*u**4*w + 57*u**4 - u**2 - 31428*w wrt u.\nAnswer: -1380*u**2 + 96*u*w + 1368*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-17 + -19 - -9) + 125).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*f - 22, 0 = 4*k + 5*f + 9 - 37. Factor -2 - 13 - 3*s**k - 1 + 7*s**2.\nAnswer: 4*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000012112212 (base 3) to base 15\nAnswer: 1611d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1097, -2227, -3357, -4487, -5617, -6747?\nAnswer: -7877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 47. Let m(n) be the first derivative of -3*n**2 - 4590. Give d(m(z)).\nAnswer: -12*z - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 + (-13)\/(-39). Let d(b) = -2 - 1 + 40*b + t + 13. Is d(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 - -164. Let n be (t\/10)\/(2\/8). Solve p + 1 = n*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78317910 a multiple of 1137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 101300441 (base 5) to base 2\nAnswer: 1100101100000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3441, 3494, 3547, 3600, 3653, 3706?\nAnswer: 3759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0478, -3, 0.4, 0.052, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwkw when four letters picked without replacement from vwkwnkwkwkkkkwkvwwn?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + v + 47 = -3*v, 4723*w - 4764*w = -4*v - 237 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -404 + 1678. Let m = i - 640. What are the prime factors of m?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -3*h + 86. Solve -4*c - h*w = 16, 2*c - 6 = -c + 3*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 + -0.053?\nAnswer: 1001.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -14, 4 in ascending order.\nAnswer: -14, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 21*f**2 - 37*f - 2. Let s(n) = -3*n**3 - 40*n**2 - 73*n - 3. Let r(i) = 3*s(i) - 5*v(i). Let c be r(17). Solve 0 = 2*l + 9 - c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-6))\/j**(6\/11))\/(j**(-1\/2))**48)**(-38))**9 assuming j is positive.\nAnswer: j**(-69426\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 8:30 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2999 + -2777. Solve 9*r + 168 = z for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 - 16472578*f\/9 - 5490860\/3.\nAnswer: 2*(f - 8236290)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2 + 2 - k**2. Let w(s) = -5*s + 9. Let q(y) = -2*y + 3. Let c(z) = 11*q(z) - 4*w(z). Let g(o) = 2*o + 4. Let p(f) = -4*c(f) - 3*g(f). Give h(p(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-136) - 14656\/256.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*(-2*sqrt(180) - sqrt(180)))\/((sqrt(176)\/sqrt(4) + sqrt(44) + sqrt(44))\/sqrt(11)) + 1.\nAnswer: -4 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.74637154 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8)**(11\/5)\/(p**(-1\/16))**(2\/41) assuming p is positive.\nAnswer: p**(28869\/1640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 7*f**2 - 8*f - 8. Let j be (-4)\/(-18) - (-304)\/9. Suppose -8 = -5*t - 4*u - j, 3*u + 15 = -3*t. What is m(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 - 824*f + 31551. Determine d(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*i - 21 - 49. Solve -3*k = -i*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8467844580 rounded to the nearest one million?\nAnswer: 8468000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1597*d - 22330. What is the lowest common multiple of ((-8)\/6)\/((-3)\/54) and z(-14)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 351*l + 4481. Determine y(-14).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21863, 21862, 21861, 21860, 21859?\nAnswer: 21858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69507204*z**4 + 265513255*z**2.\nAnswer: -1668172896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 77285 = -37630. Let q = -4272 + y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20220210 (base 3) in base 13?\nAnswer: 23ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*b - 144*b - 140*b.\nAnswer: -360*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 2, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0101772 rounded to 4 dps?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 177766834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, s: 1, w: 2, k: 1, a: 1}. Give prob of picking 1 m and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 10*r + 6. Let s(g) = -g**3 + 7*g**2 + 9*g - 11. Let x be s(8). Let d be (3\/(-2))\/(x\/18). Does 5 divide b(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 + 140.8. Round d to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122\/5 - -24. Suppose 7*k - 3*k - 24 = 4*n, 0 = -3*n + 5*k - 28. Let q = -1 - n. Is q greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14540345 (base 8) in base 6?\nAnswer: 155142553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9311 by 16.\nAnswer: -9311\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 316377981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*v**3 - 56*v**3 + 122*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/((-154791)\/78))\/((-8)\/6).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 50 + 150. Suppose -3*z + 7*x = 3*x - 28, 5*x = y. Solve 0 = 2*q + 3*j - z, -2*q - 2*j = -2 - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 18 = 21*p + 32 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-300)\/100 + -1*(4 - 1). Let v = 0.0562 + 26.0438. Let z = -26 + v. Which is the smallest value? (a) z (b) 2 (c) l (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1257 + 1259. Put p, -1, -4, 30 in increasing order.\nAnswer: -4, -1, p, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 32 = 2*t - 5*h, -88 = -5*t - h. What is the highest common divisor of t and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1270354 = 3*m, -4*m + 1693801 = 268*j - 271*j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2593 + 1)\/(590\/(-413)). Is -1816 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 684.\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 0*j**2 + 0*j**2 + j**2 - j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/((b*b*(b*b*b\/(b*b**15*b*b)*b*b)\/b)\/b)*b))\/b*(b*b\/b**5)\/b)**(-3\/20) assuming b is positive.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 208 + -200. Suppose -4*d - 4*w + 64 = 0, -4*w + n = -2*w. Is d greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyz when three letters picked without replacement from ypppzypqpqnyppppppy.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23842780 - -5?\nAnswer: 23842785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b21 (base 15) to base 4\nAnswer: -213022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/b**(2\/23)*b*b)\/b))\/b*b*b**(-2\/3)*b\/b**(-2\/9)*b**2\/b)\/((b**1)**(-2)*b**7*b**(-1\/4)) assuming b is positive.\nAnswer: b**(-3401\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87222887.\nAnswer: 87222887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -411 + 66. Let k = -212 - n. Let j = -129 + k. Solve j*c = 9*c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 260 + 100. Let l = 4 - 6. Let t be 144\/14 - l\/(-7). Calculate the greatest common divisor of y and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48759900 rounded to the nearest 100000?\nAnswer: 48800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1632 and 87\/13600?\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(-2 - 2*w + 2 + 2*w - w + 0*w + (1 + 3 - 2)*(1 + 2*w - 1))*(0 + 1 + 1) in the form x + j*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 + 1 = 0. List the prime factors of 30*3\/(c + 7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32 + 10 + 24*p**2 + 65*p + 12505352*p**3 - 12505351*p**3.\nAnswer: (p + 1)*(p + 2)*(p + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 53*u + 26 = 57*u, -2*u = -l - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Let q be a + (3 - 0 - 3). Suppose 4*x + 20 = 2*p, -2*p - 4*x - 23 = -3. Solve p = -4*r - 8 - q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 749 - 275. Let z = -479 + g. What is the second biggest value in z, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -106 (b) 5 (c) -1207\/5 (d) 0.1 (e) 0.3 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + ((sqrt(833) - sqrt(17))*1)**2.\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4 + 45. Let d be 184\/(-6)*(-6)\/4. Let g = d + m. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233*h**2 - 233*h**2 - h**3 + 1)*(-69*h**2 - 32*h**2 - 11*h**2).\nAnswer: 112*h**5 - 112*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6110 divided by 5?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/45901, 1, -1\/2, -3 in decreasing order.\nAnswer: 1, 11\/45901, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**6\/420 + 19*g**5\/210 - 3*g**4\/14 - 35*g**2. Factor z(w).\nAnswer: -2*w*(w - 18)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108756 is divided by 1623.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285119105?\nAnswer: 5, 57023821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 16*o**7\/273 - 766*o**6\/65 - 931*o**5\/390 + 421*o**4\/52 + 230*o**3\/39 + 14*o**2 - 18. Suppose v(t) = 0. Calculate t.\nAnswer: -1\/4, 2\/5, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/5 + (-25549)\/(-145). Suppose 300*j - 304*j = -a. Let i = -108 + 152. Is i less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, s: 3}. What is prob of picking 2 r?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6150.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50\/7, -19\/5, -2.8 in descending order.\nAnswer: -2.8, -19\/5, -50\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -128, 220, 217, 0, 4, -5 in increasing order.\nAnswer: -128, -5, 0, 4, 217, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 12*o - 12. Let j be r(-11). Is -3\/4 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-3 + 22223\/(-14)). Let d = -1586 + f. What is the common denominator of -25\/66 and d?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033034 (base 5) to base 13.\nAnswer: 81b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 592, -5, -4, 3 in increasing order.\nAnswer: -5, -4, 3, 592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-486*k - 145*k - 101*k)*(1 - 5*k - 6*k + 0) + (0 + 0 + k**2)*(0 + 2 + 0) - 2*k + 2*k - k**2 to u*k + v + q*k**2 and give q.\nAnswer: 8053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-100)*(2 - -8). Solve -8 = -9*j + 8*j + v, -3*j - h*v + 6 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 12*u - 4. Let w(l) = -10 - u*l**2 - l**2 + 11 + l**3 + l**2. Let m be 6\/2 - 0\/(-2). Determine w(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 204.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z - 10. Let j(t) = t. Suppose 4*r - 16 = 4. Let y = 0 + -1. Let h(d) = r*j(d) + y*v(d). Determine h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o - 4. Suppose -3*f + 13 = -v, -1 = f + 2*v - 3. What are the prime factors of n(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3536066kg in milligrams?\nAnswer: 353606.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -6)\/(-10) + (-3)\/42. Let w = 9 + -5. Which is the biggest value? (a) 0 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 - (6 - 4)) - 2080\/299?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 = k. Let y(j) be the first derivative of -j**4\/4 + 5*j**3\/3 + 3*j + 620. What is y(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p - 9. Let c(o) = 247 + 254 - 499 + o. Give 2*a(v) + 11*c(v).\nAnswer: -v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1582\/((-5)\/10*(9 - 11)) and 56?\nAnswer: 6328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.1, 0.1, -2\/265?\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183157 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let v = -160 + 159.7. Which is the smallest value? (a) q (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 66, -0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9776231.\nAnswer: 739, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*m*x**3 + 7*m*x**2 + 3*m*x - 2*x**3 - 2*x wrt x.\nAnswer: -84*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 bigger than -10831.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 4*o - 886. Calculate m(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 2*l**2 + 0*l**2 - 5*l**2 - 11*l**2 - 4*l**2 + (-1 + 4 - 2)*(0*l + 2*l**2 + 0*l) + 11*l**2 + 9*l - 7*l**2 - 6*l**2.\nAnswer: -17*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 29, 18, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/19939359 and -37\/1812669.\nAnswer: 19939359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -4, 1, 205, 2, 3 in descending order.\nAnswer: 205, 18, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 7*t + 7. Let p be s(8). Let f(a) = -1. Let u(l) = -l + 7. Let b(o) = p*u(o) - 4*f(o). Determine b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 29 = 31. Let x(u) = -1 + 32*u + 3 - 48*u - o. What is the tens digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2900616 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 577 - 437. Suppose 2*a - m = -w - 2*a, -522 = -4*w + 3*a. Calculate the remainder when w is divided by 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3044310 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 97*c**2 + 44*c + 1. Let i(u) = 1 - 4*u - 7*u - 3*u + 10*u. Let a(q) = i(q) - k(q). Find the second derivative of a(m) wrt m.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 + 2844*d**2 + 11300*d + 3. Determine s(-4).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4207762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 4*h - 10, -4*c = -3*h - 107 + 98 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let l = -3 + 2.9. Suppose 0 = 5*d - 3*d + 4. What is the closest to l in m, -3\/7, d?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1998, -3995, -5992, -7989, -9986?\n\"Answer: -1997*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2406 + -1447?\nAnswer: c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66092.\nAnswer: 2, 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -374 + 376. What is the nearest to 2\/5 in -3, t, -0.08, -1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10917 or 971497\/89?\nAnswer: 971497\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*v - 48. Let p = v - -75. Suppose 5*i - 101 = -4*l + 51, -l = -3*i + p. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 2*k - 3. Let g be r(3). Let x = 8 + -6. Suppose g = -x*m + 5 - 1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4872 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**3 - 748224*k**2 - 3741044*k - 4489224 = 0.\nAnswer: -187051, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6))\/((6\/(-828))\/1). Let t = y - -66. Let b be 2\/(1\/1) + 2. Sort -4, b, t.\nAnswer: -4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 39 + -19 + 13 - 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p, 3*y - 5 = 5*p + 9. Suppose 3*g + y = -20*n + 16*n, 4*g = 12. Suppose -4*q = -2*q - 6. Which is smaller: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 33. Suppose -z*r + 10*r = 21. What is the derivative of -15 + 15*g + r*g - 5*g wrt g?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - m = -349268, 5*m + 55066 = 2*o - 119568. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -121?\nAnswer: 12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-1))\/(-2) + 10. Suppose -5*f + q + 41 = 4*t, -3*t + f + 24 = 0. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462590628 to the nearest integer?\nAnswer: 21508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38965 divided by -6.\nAnswer: -38965\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5886 - -0.646. Round z to 3 dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -14 + (5 - (1 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(208)*1 - sqrt(208) - (0 + sqrt(208) + -2) - (1 + sqrt(208) + 0 - (-4 + sqrt(208) + 1)))*-6)**2.\nAnswer: -5184*sqrt(13) + 68688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24539 + -12989. Is 70 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24313 - -413404?\nAnswer: 443222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15005426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t. Let q(l) be the first derivative of -11 + 0*l + 0*l**2 + 1\/3*l**3. What is q(d(s))?\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/10 - (-6)\/15. Suppose -5*b = 2*i - 16, -2*b + 6*b - q*i = -7. Suppose 21 = b*n - 5. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/2)*b**(2\/7))**(17\/2)*(b**(-1))**(2\/5)*(((b*b*b**(-1\/2)\/b)\/b)\/b)**28 assuming b is positive.\nAnswer: b**(-6191\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4615777, -9231469, -13847161?\n\"Answer: -4615692*h - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 586302440 divided by -117260488\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 w when four letters picked without replacement from {e: 2, b: 1, k: 1, z: 4, x: 1, w: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 72 (b) -4 (c) 0.4 (d) 5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 515839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 567*c**2 - 1. Let u be i(-1). Let r = 599 + -597. Suppose -1174 - u = r*h. Round h to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096123 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 0*x**2 + 0 + 1\/50*x**6 - 3\/100*x**5 + 0*x**3 - 1\/10*x**4 + 38*x. Factor p(h).\nAnswer: 3*h**2*(h - 2)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 124813594\nAnswer: -2\/62406797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -12, 2, 6, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32148806, 32148800, 32148790, 32148776?\nAnswer: 32148758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 724, 981, 1248, 1531, 1836, 2169, 2536, 2943?\n\"Answer: c**3 - c**2 + 253*c + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 629 = -m - 644, v = 0 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -3 (c) 2\/15 (d) 1588\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 85*z + 82. What is the least common multiple of 1145 and o(-16)?\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, k: 1, i: 3}. What is prob of picking 1 k and 3 i?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 1924*h**2.\nAnswer: -4*h**2*(h + 481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*r + 8, v - 3*r + 39 = 27. Solve -9*l - l + 50 = v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2443612793?\nAnswer: 17, 37, 3884917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 2. Let q be w(0). List the prime factors of -3*q\/3 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 10) to base 11.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -396 (c) 1\/6 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:00 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -499 and -18.574482?\nAnswer: 480.425518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23749 or 1\/10?\nAnswer: 23749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + b**2 + 38 - 15 - 10*b as n + j*b + p*b**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 72 = -3*s, -5*s + 278 = 10*t - 32*s + 50 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -3*i - 5*v, -4*i - 3*v = 2*v + 160. Let b = i - -59. Suppose -3*k = 5*k - b. What is the nearest to 1 in -0.4, 1\/2, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*j + 2002 = 43*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i - 30*i - r + 13 = -0*r - 2*r, -r = -17*i - 31 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 4127524685599?\nAnswer: 4127524685598.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 7. Let s be i(0). Let j be 1\/s*(1 - 3). Let v = 24.3 + -29.3. What is the closest to j in -0.1, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3002 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 6}. Give prob of sequence gggg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + ((-264)\/(-8) - 11) - 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.034 (b) 2\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33686333 and -1533?\nAnswer: 33684800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(500)*2)\/(sqrt(20)\/(sqrt(5) + sqrt(245)) + sqrt(16) + (sqrt(16) - (sqrt(48)\/sqrt(3) + sqrt(16)))).\nAnswer: -320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115601615 is divided by 3338?\nAnswer: 3337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10642 - 10778 - 3264*o**3 + 21422 - 408*o**2 wrt o?\nAnswer: -19584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21913020133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/24*-1*-18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - 85. Let j be (3\/2 - 1)*-30. Is (-2)\/5 + m\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-108)\/93))\/(((-33)\/(-12))\/11)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 350 + -349.9. What is the third biggest value in 1\/3, 0.4, 9, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19803410 divided by -8782\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + 8 + d**2 - 2*d**3 + d**4 - 9 - 4*d**2 to y*d**2 + r*d + m*d**4 + x*d**3 + c and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 3*b - 4*b)*(2*b**3 - b**3 - 3*b**3) + 2*b**4 - b**4 + 3*b**4.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8 + 63*t**2 - 10*t**2 - 8. Let w(v) be the second derivative of -v**3\/3 - 623*v. Calculate w(l(h)).\nAnswer: -106*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*r + 362 = 0, l + r = 84 + 10. Let q be l\/4*3 + -9. Let i be (-2)\/(-8) - 188\/(-16). Calculate the greatest common divisor of i and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -362, 5, 4, -2, 7 in decreasing order.\nAnswer: 7, 6, 5, 4, 0, -2, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3 + 11778*w**2 - 23559*w + 11780 = 0.\nAnswer: -11780, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39376 - 13612. Is 228 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 176536380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -279832730 to the nearest one million.\nAnswer: -280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21577, -21323, -21057, -20773, -20465, -20127?\n\"Answer: x**3 + 247*x - 21825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**5\/20 + 5*o**4\/6 + 3*o**3 + 6*o**2 - 2*o. Let q be h(-8). Let s(l) = l**2 + 7*l + 6. Give s(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1001 divide 2811046238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-15))\/((-2)\/12). Let w be -1 + r\/2 - -2. Suppose -x + 3*u + 5 = 0, x - 2*x = w*u - 25. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-308)\/8))\/((-1)\/(-1)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*t**2 + 1 - 1.\nAnswer: -279*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - k**2 - 8*k**2 + (-k**2 + 2*k**2 + 2*k**2)*(-1 - 3 + 2) in the form i*k + v*k**2 + r and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -37. Let z = h - -26. What is the third derivative of -7*v**4 + 16*v**z + 26*v**4 - 97*v**3 + 97*v**3 wrt v?\nAnswer: 456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1427 + 124*x - 1427 as a*x + q and give a.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 305250650?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -2*m - 7. Let u be 0 + (-3)\/6 - (-582)\/(-12). Let j = u - m. What is the lowest common multiple of 14 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 1624 = 1666 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(5) + (sqrt(5) - (sqrt(5) - sqrt(5)*-2))*-5)*6)**2)*-1.\nAnswer: -21775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 859\/1872 - 3\/208. What is the nearest to 0.1 in g, 13, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**4\/24 - 7*r**2. Let x(h) = -4*h + 0 + 0 - h. Calculate x(n(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14134 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/18 and -41\/5456.\nAnswer: 49104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 38*b - 277. Let s be c(28). Solve 82 - 97 = -s*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 5:46 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f - 1 + f**2 - 3*f**2 + 3*f**2. Let x(c) = c + 1563769 - 1563769. Let d(n) = -w(n) + 4*x(n). What is d(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -933586 to the nearest one thousand.\nAnswer: -934000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.14 - -0.06. Let h = j + -1.7. What is the nearest to 0.1 in h, 2, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98.9156, 0.5, -0.06 in descending order.\nAnswer: 0.5, -0.06, -98.9156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 divided by 31.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172503652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 370*i - 1501. Calculate the smallest common multiple of 6538 and k(4).\nAnswer: 71918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2 + 96*x - 252 = 0.\nAnswer: 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 16*y**2 + 28*y + 3. Let g be u(-14). Let p(b) = 179*b**2 - 8*b - 13. List the prime factors of p(g).\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 3\/12155149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265477400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -4. Suppose 5*z - 3*g = 0, 3*z = -z - s*g + 32. Suppose 18 = 2*n + 2*k, -2*k - 7 = -z*n + 10. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4*(-5)\/(-40)). Let c(s) = 4*s. Let m be c(5). What is the units digit of m\/8*y\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o. Let j(m) be the first derivative of -2*m**2 + 2*m**2 + 1 - m**2 - m**2. What is j(d(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13*z**3 - 3*z**2 - 3*z. Let w(s) be the first derivative of -59*s**4\/2 + 26*s**3\/3 + 13*s**2 + 1615. Calculate 52*r(v) + 6*w(v).\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7240 is divided by 151?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, 193317.\nAnswer: 0, 0.2, 193317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 223\/(-8251) + (-627)\/1443?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 524*k**2 - 7981*k - 56045. What is d(539)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 2 = 26. Solve s*g + 2*j - 6 = 0, -5*g + 3*j + 12 = 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9503 (base 10) to base 6.\nAnswer: -111555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 + -186. Suppose 2*z + 1638 = 4*f, -w*f + f + 804 = 4*z. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126851040 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) - (sqrt(171) + -2*sqrt(171) + -1).\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.863 - 43.137. Let n = -0.40995184 + -43.59012516. Let l = k - n. What is l rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 17*z**5\/5 + 16*z**3\/3 - 29. Find the third derivative of y(o) wrt o.\nAnswer: 408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512662*d**2 - 512651*d**2 + d**3 + 1025247*d**2.\nAnswer: d**3 - 66*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-33))\/2*3\/25\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(133)*-2)\/((sqrt(77)*2)\/sqrt(11)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096191368 a multiple of 1668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -135*r**3 - 234*r**2 - 115. What is the second derivative of i(h) wrt h?\nAnswer: -810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -14. Let c(y) be the second derivative of -y**3\/6 - y**2\/2 - y + 379. Let g(j) = 4. Determine r*g(a) + 3*c(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1424, -1423, -1422, -1421, -1420?\n\"Answer: v - 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*l + 6 = -2, -2*l = 5*q. Let m be -2*(7\/2 - q - 52). Is m less than 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 10 = 0, 26*z - 23*z - 23 = -4*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.404, 3, 1\/2, -0.3, 2\/11 in descending order.\nAnswer: 3, 1\/2, 2\/11, -0.3, -0.404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43\/192719 + -13426154057\/2312628. Let r = q + 5793. What is the common denominator of -17\/14 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 11.\nAnswer: -35\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4970 and 686950915.\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-7 - -1) - (11 - -1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -91, -33, 39, 119, 201, 279?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17738642?\nAnswer: 2, 8869321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 15. Let i(d) = 2*d + 31. Calculate 5*h(l) + 2*i(l).\nAnswer: -l - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 143. Let i(s) = s**2 + 27*s + 120. Let z be i(-9). Let r = z - l. What is the highest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -40.55. Let p = t + 0.85. Put 4\/7, p, 2, -0.01 in decreasing order.\nAnswer: 2, 4\/7, p, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.45 + 0.45. Let p be (-2)\/3*3\/11. Which is the third biggest value? (a) p (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43387161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16803, -8, 42 in ascending order.\nAnswer: -8, 42, 16803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 6:11 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h + 5. Let p(k) = -k. Suppose c = 3*w + 8, 0 = c + w + 7 - 3. Let o(u) = c*t(u) - 4*p(u). Let d(r) = -r - 2. Calculate -11*d(f) + 4*o(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 6*j - 2. Let g be s(-4). Let y(h) = -3*h + 15. Let o be y(g). Let d be (o - (-28)\/8)*4. Do 3 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83684892.\nAnswer: 2, 3, 19, 59, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttq when three letters picked without replacement from {q: 7, t: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*-1 + 45\/18. Let u = 20 + -20. Let m = 3 + u. Solve m*s - y = -2*c + 4, -s - 2*c + 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4))\/y*y**(-3\/7)\/y*y**(-1\/2)\/(y*y**(-1\/11)*y) assuming y is positive.\nAnswer: y**(-1207\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 4396720?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -5. Let x be ((-1)\/y)\/(1\/(-22)). Let w = 26 + x. What is the highest common divisor of w and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536923618.\nAnswer: 2, 7, 11, 41, 85037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*m**3 + 3*m**4 - 33*m**3 + 7*m - m - 5*m**4 - m**2 - 1 in the form f*m**3 + a*m + l*m**2 + d*m**4 + q and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -5*z - 8300. Calculate the greatest common factor of 25 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 4, z: 1, y: 1, c: 1, r: 6}. Give prob of picking 2 h and 2 r.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 + 2*s + 2. Let o be n(-2). Suppose 0 = -c - 5*x + 20, -c + 2*c = -3*x + o. Is 5 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/22 (b) -0.01 (c) 2 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36887581 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 6:45 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56809611826 - 56809611826 - 8*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 5802074.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5624400 - 5624399.45000118. Let c = -0.55 + u. What is c rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = s - 1155, -2*s + 686 = 6*o - 3*o. Suppose o + 88 = 2*c. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 + 2857508*o**2 - 510307350720*o - 9696871251504 = 0. Calculate o.\nAnswer: -19, 357198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i + 5. Let k be -12 + 5 + 20\/4. Let h(a) = 13*a + 14. Calculate k*h(u) + 7*r(u).\nAnswer: 2*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020202112 - -1?\nAnswer: 1020202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 467*r**2 - 478*r + 94925 wrt r.\nAnswer: 934*r - 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278195026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79 in 2\/19, -28, -2\/11?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -10*h**2 + 56\/9*h - 8\/9 = 0?\nAnswer: 2\/9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 678918837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 - 60*r + 35. What is the remainder when 325 is divided by m(15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y - 22. Let h be n(-6). Let p be (-429)\/(-962) + h\/(-4). Is p greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 2 - 3*r + r + 3*r. Let o be l(-2). Find the second derivative of 0*j**3 - 2*j**3 + j + o + 0 wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 6. Let a = s + 2. Let f = a + -5. Put 0.2, -4, f in ascending order.\nAnswer: f, -4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 + 64 + 152 - (-104 + 2 + 0)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 410025831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s + 158 - 158 as r + x*s and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (11 + -11)) + (-5 - -8 - 1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**2 - 10762*y - 32234. Calculate m(-3).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51989717329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h. Let f(l) = -17*l. Let o(m) = 6*f(m) + 26*r(m). Let w(n) be the second derivative of 0*n**3 + 0 + 0*n**2 + 7\/12*n**4 + 5*n. Give o(w(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = l + 6*j + 34, -3*j = 2*l + 33. Let b be -3 - (l*2 - -3). Find u such that b - 2 + 6*u**3 - 11*u**3 + 15*u = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 8:55 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486768?\nAnswer: 2, 3, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 897 and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96845 and 8855.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*k - 5. Suppose -5*d = -5 - 5, -4*s + 2 = -k*d. Suppose 5*i - 4*c + 5 = 0, 0 = -2*i + 2*c + s*c - 19. Solve -i*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -70, 3, -3.\nAnswer: -70, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61027227493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -23*c + 467. What is y(21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvkjtvr. Give prob of picking 2 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 1297*j = -5876*j + 171*j - 175275 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 46\/1561?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/696 - -1477\/11832. Put k, 814, 0.1 in decreasing order.\nAnswer: 814, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - 4. Let u be y(-3). Suppose -3*k - 2*h = -0*k + 306, u*h + 514 = -5*k. Let l = -59 - k. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2133 divide 11903636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = -2*j + 5, -5*v = -2*j + 9. Suppose -g - 2 = 0, -9*r - j*g = -11*r + 974. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 3*u**2 + 3*u + 6. Let r be v(-3). Let f be 64\/r - (1 - 20\/15). Is 1*((-1)\/7 + (-12330)\/f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 29 = -50 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.148 - 5.148. What is the closest to m in 0.2, -0.06, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 508 + 1262. Suppose -4*r = 4*d - 308, -2*d - 5*r + r + 144 = 0. Let j = k + d. Calculate the highest common factor of j and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4808 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -8. Let n = t + 1. Let h = n + 7. Solve 3*w - 12 = -h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-7 - 1 - -15) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5065550 is divided by 722?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or 5662104?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 12, 8, 4, 0?\n\"Answer: -4*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -26*j**3\/3 - 2278. Let p(f) = 6*f**2 - 3. Determine g(p(q)).\nAnswer: -936*q**4 + 936*q**2 - 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - z + 236 = -2*b, b - z - 72 = 0. What is the greatest common divisor of b and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 5, 11, 19, 29?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*m + 495*m - 166*m - 7 - 160*m + 7.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-5\/11))\/(c\/c**14)*(c*c*c**(-4\/29)*c)\/(c\/(c**(-7\/2)*c)) assuming c is positive.\nAnswer: c**(8235\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -3105116?\nAnswer: 3105122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b + 4*b + 2)*(3*b - 5*b - 2*b).\nAnswer: -20*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16253*n + 16253*n + 693*n**3.\nAnswer: 693*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*h + 5*h**2 - 3*h**2 + 12*h)*(-2*h + 5*h - 2*h) to the form u*h + a + x*h**3 + t*h**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 672 and 144060?\nAnswer: 1152480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34650 and 836?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w + 26*w**2 + 81*w**2 + 5*w to q*w + i*w**2 + g and give i.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) -10 (b) 17 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*c + 553*c - 19*c - c**2)*(0*c + 3*c**2 + 0*c).\nAnswer: -3*c**4 + 1383*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*l - 148, 3*k + 102 - 322 = 5*l. Sort k, -7, 4 in decreasing order.\nAnswer: k, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 - 6*a - 5. Let h(t) = -3*t**2 - t - 1. Let w be h(-1). What is the tens digit of i(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -18.5. Suppose 3*c = 2*u - 3*u + 11, -5*c = 5*u - 35. Suppose -c*g + 9 = g. What is the smallest value in y, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066036?\nAnswer: 2, 17, 61, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 107373, 107364, 107349, 107328, 107301?\n\"Answer: -3*a**2 + 107376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 201*g - 788. Determine q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*k + 61*k = -2*d + 5562875, -4*k - 2781433 = -d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2140 - -3073. Let f = k + 6962. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 139 (b) 3 (c) -1\/2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 26*o + 1. Let d be x(-19). Let h = 131 - d. Let b(z) = -z**2 - 3*z. Calculate b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -19*m - 8. What are the prime factors of z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821360921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/15*(-9)\/(-2) + (-540)\/81.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 0*i + 2\/39*i**3 + 2 - 1\/39*i**6 + 3\/26*i**4 - 2\/13*i**2 - 2\/65*i**5. Suppose v(b) = 0. Calculate b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854136163.\nAnswer: 854136163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 3*f + 6*g - 6, 16 = 4*g. Let p(j) = 931*j - 85. Is p(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 2. Find the second derivative of o*z - z**5 - 3*z**5 + 0*z**5 + 3*z**5 wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -373 by -1.\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2806322274 to four decimal places.\nAnswer: 0.2806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/13 (b) 12 (c) 0 (d) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166955 is divided by 4275?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24345 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17599 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:58 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 3*s\/2 - 1.\nAnswer: (s + 2)*(2*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*y - 61*y = 398*y + 236*y + 45739 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9483 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65584269143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 842, 1883, 3042, 4319?\n\"Answer: 59*h**2 + 864*h - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 111 + 210 = 0. Is s >= 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1035080 and 1582?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**3 - 13*k**3 - 2*k**3)*(-2*k + 2*k + k**2) - 2*k**3 + 3*k**3 + 2*k**5 + 0*k**5.\nAnswer: -19*k**5 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -14*o - 8*o + o**2 + 8 - 13*o + 31*o. Suppose -2 = -3*z + 5*t, 4*t = -2*z + 17 + 21. Is 22 a factor of x(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3146978 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1831481*w**3*z**2 - 9*w*z**2 - 47228*w*z + 4*w wrt w.\nAnswer: 10988886*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 1113967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 191793 + -101391. What is g rounded to the nearest one hundred?\nAnswer: 90400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14259 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 10. Let u be r(3). Suppose 4*n = -0*q - q - 18, -n - u = -4*q. Suppose -4*l + b = -q*b + 34, 4*b = 8. Which is greater: l or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260829637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-7) + 2\/7. Let s(t) = -3*t + 21. Let d be s(6). Suppose -z*n - d*n = -70. What is the lowest common multiple of n and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l + 5030 - 62 = 29*l. Let k = -12 + 21. Calculate the highest common factor of k and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 407\/(-44))\/(((-21)\/(-12))\/7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15049 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 2 + 5. Let o(j) = j + 2. Let s be 6\/(-4)*6\/9. Let l(q) be the third derivative of q**4\/24 - 17*q**2 + 10*q. Calculate s*o(a) + y*l(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -29*v + 31*v. Let j be (-5 - -1) + (-6)\/(-3). What is the units digit of (j - 0)\/((-4)\/v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (8 - (2 - -2)) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + 1*((-4 + sqrt(200) + 2)**2 + 2)*-2 + 0).\nAnswer: -400*sqrt(2) + 2060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/8))**(-2\/39)\/(x**3*x\/x**(2\/11))**(-40) assuming x is positive.\nAnswer: x**(262069\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**2\/2 - 3522. Let s(x) = 172*x + 1. What is p(s(w))?\nAnswer: 172*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v - 8. What is the derivative of -y**v - 3 + 2*y**2 + 6 wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 7:01 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -a6c?\nAnswer: -a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + 10002000200010212?\nAnswer: 10002000200010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -43*y**6 + y**3 + 41*y**2\/2 - 181. Find the third derivative of p(f) wrt f.\nAnswer: -15480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + ((sqrt(891) - (sqrt(891) - (sqrt(891) - sqrt(891)*1) - sqrt(891)))**2 - sqrt(132)\/(sqrt(24)\/sqrt(2))) + 1).\nAnswer: -sqrt(11) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -25 - -4) + (-25 - 0).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5*r\/r**(-2\/3) assuming r is positive.\nAnswer: r**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-22)\/(-385))\/((-1)\/(-20)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(77)*1*4 + sqrt(77) - sqrt(77)) + sqrt(77))\/((sqrt(11) + sqrt(33)\/sqrt(3) - sqrt(11))*3 - sqrt(11)) + 1.\nAnswer: 1 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f - 291*f**2 + 5*f + 5 + f - 1 + 2*f to s*f + b + t*f**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -2331503?\nAnswer: -2331503.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 5*w + 50, -192558 + 192524 = -4*m - 7*w for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 0) + ((-26)\/(-13) - 5). Let n(s) be the first derivative of -1\/20*s**4 - 1\/5*s + 1\/15*s**3 + 1 + 1\/10*s**c. Factor n(q).\nAnswer: -(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*((-2042586)\/455)\/129.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 1002*m + 154794. Determine h(-124).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 13*n - 1710 = 0. Let a = n - 406. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2\/3 + 21439580*d + 344741692932300 = 0.\nAnswer: -32159370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.125 + 0.025. Let v = 358.6 + -355. Let u = v + q. Which is the second smallest value? (a) -2\/15 (b) u (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -5.7. Let p = -0.2 + h. Let s = p + 0.4. Put s, -2\/7, -4\/3 in decreasing order.\nAnswer: s, -2\/7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -12*x**3 + 2*x. Let a(n) = -4*n**3 - 13*n**2 + 8*n. Calculate -a(l) + 4*i(l).\nAnswer: -44*l**3 + 13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -269 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 37508)\/(1\/(-2)). Suppose -29990 = -2*u - 2*v + 7*v, -o = -5*u - v. What is u rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-14)\/l**(-15))\/(l*l\/(l\/(l**6\/l))*l*l*l\/(l*l**(3\/19)*l*l)) assuming l is positive.\nAnswer: l**(-92\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-3*(-28)\/147*(-15)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/120 + 2*z**5\/15 - z**4\/8 + z**3\/3 - 3*z**2 + 11. Determine i(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**2 + 0*c**2 + 4*c**2 + 2*c**2 + 2*c**2 - 2*c**2 + (-5 - 2*c + 5)*(-c - 3*c + 6*c) - 3 - c**2 + 3 + (-3*c - 3*c + 5*c)*(-3*c + 19 - 19).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (31 - 35) + (8 - 0). Differentiate -1034*u + 1034*u + 266*u**q - 18 wrt u.\nAnswer: 1064*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.573262887 and -4257.\nAnswer: -4256.426737113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*d - 7 = 3*d, 0 = -d + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139\/3 + -46. Let f = -1535 - -1534.5. Which is the closest to 1? (a) f (b) 2 (c) -4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = -3*x, -2*p - 14 = -5*x + 6. Is -1*(p + -29 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 142\/(-68))*684\/513\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) 167\/6 (c) -1 (d) -2\/11 (e) -2\/5 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 10*l + 17. Let k be c(6). Let i(d) = 4*d**3 - 6*d**2 + 7*d - 7. Let m(o) = o**3 - 2*o**2 + 2*o - 2. Determine k*m(s) + 2*i(s).\nAnswer: s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 36277 = -3*i + 36273, c - i = -8 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 36*n - 112. Let s be z(-3). What is the greatest common divisor of s and 640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -137340 and -14397422.\nAnswer: -14534762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7081.\nAnswer: 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155512892.\nAnswer: 2, 1061, 36643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 10*n + 8. Let d be t(9). Let l = -0.07 + 2.07. Let f = 2 - 1.9. Which is the nearest to f? (a) 1 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 700*s**2 + 7697*s + 3. What is d(-11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*n - 48976 + 1942664, 0 = -q + n + 378738. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 2)*(-3)\/3. Put a, -1, -2, 1 in increasing order.\nAnswer: a, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 13 = -6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76920, -77478, -78036, -78594?\nAnswer: -79152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2607\/7 or -27?\nAnswer: -2607\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4909 - c**2 + 4898 + 4903 - 14710.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6480) - sqrt(6480)*2*-2 - -1*sqrt(6480)*3)\/((sqrt(27)*-1*-4)\/(sqrt(12)*-1)).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 19*r**2 - 6*r - 1. Let q = 62 + -63. Let u be m(q). Calculate the greatest common factor of 216 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*k = 61*k + 138. What is the remainder when k is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 310*u - 1833 - 1869 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64763*l**3*o + 1862*l**2*o**3 - 5519*l*o + 5925*o**3 wrt l.\nAnswer: -388578*l*o + 3724*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603\/(1 + -4)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 7221976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/873, 0.3, -2\/9, -89 in decreasing order.\nAnswer: 0.3, 1\/873, -2\/9, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 3 = 12*n. Let r be (n - 15\/(-12)) + (-4)\/(-8). Let t = -2\/39 - 8\/13. Which is the nearest to t? (a) 0.5 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.8522*-0.7.\nAnswer: 13.19654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136\/3 - 46. Put k, -1, 0.3 in ascending order.\nAnswer: -1, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/65*7\/((-126)\/15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 17*r. Let l(u) = -2*u**2 - 34*u - 4. Let p(t) = -3*l(t) + 7*n(t). Calculate p(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79272 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/11*4)\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 67 + v**2 + 3*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - 9)\/(3\/1). Suppose j = l - 2 - 0. Find the first derivative of -9 + 95*g - 95*g - g**l wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-770)\/(-100) + -8)*(-6)\/(-9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 1000 = 2*h - 1005, 0 = -4*n + 3*h - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 - 15*c**3 - 3*c - 13 wrt c.\nAnswer: 20*c**3 - 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 8 + 4)*(10*k**2 + 14*k - 14*k).\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 10*x - 5. Let p(o) = -o**2 - 9*o - 6. Let s(t) = -2*a(t) + 3*p(t). Let y be s(-4). Let k(f) = f**3 - 4*f**2 - 2*f + 1. Determine k(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4\/j**(-1\/7))\/(j*j**1\/j)**(-3\/17)*(j**(2\/9)*j*j**(-3)\/j)**(-23) assuming j is positive.\nAnswer: j**(73051\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 518 and 145928?\nAnswer: 1021496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or -12264?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 150 = 4*d + u, -3*d + 71 = -2*u. Let v be 1*(-6)\/d*-1. What is the biggest value in 4, v, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 5 = -5*l. Suppose 2*w = 5*u + 4, -3*u - 4*w = -u - l. Suppose -2*r = -u - 2. Solve y - r = -0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 136 = 8. Suppose -k = 3*c + c. Let q(v) = v**3 + 9*v**2 + 7*v - 6. What is the units digit of q(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135 or -134?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4849\/3 - -1616. Which is smaller: a or -0.0879?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/12 and -65\/17552?\nAnswer: 52656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -189707.1 + 189707. Let h = 4.04 + -0.04. Which is the closest to 0? (a) 1\/5 (b) j (c) h (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3 - 88\/(-28)). Suppose -2*k = -2*i - r, 2*i = 3*k + 3*i - 5. Let s = -8 + k. Which is the biggest value? (a) s (b) -1\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758784 is divided by 213.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k - 6363. Let j = 1579 - k. What is j rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -6279894.\nAnswer: 2\/3139947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -106628a5 - 5?\nAnswer: -106628aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y - 91. Let m be 6*((-18)\/(-45))\/((4 + -5)\/(-5)). What is v(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from khhhhhhhhhkhhhhhhh?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.48 - -5.48. What is the third biggest value in -13, n, 2\/17, 2\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 10. Let h be t(-5). Suppose 3*j - 5*j + 80 = h. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*v + 7 = 2*v, -2*t + v + 5 = 0. What is the derivative of -282 + 14807*q - 14807*q + t*q**3 + 34*q**4 wrt q?\nAnswer: 136*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198 + 1388\/7. Let o be 2\/6*2*3. Suppose -4\/7 + 2\/7*t + f*t**o = 0. Calculate t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*h = -51*i + 242*h - 125*h + 33 + 15, -14*i - 2*h = 3*h - 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.945189 decades?\nAnswer: 113.42268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 12*b + 10. Let s be x(-9). Let v = 96 - s. What is the common denominator of 29\/20 and (2\/10)\/(v\/390)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)\/(36 - 37). Let k = 17 - 7. Let v be -3*(k\/6 - 1). Sort v, t, -4.\nAnswer: -4, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/(((-9)\/8)\/3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) + 0)*6 - (-2*sqrt(17)*-5 - sqrt(17))) + -3)**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2 + j - 2 - 4. Let l(h) = -9*h + 39. Let a(q) = 21*f(q) + 2*l(q). What is the units digit of a(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -1 - sqrt(1700) - (2 + sqrt(34)\/sqrt(2)))**2*-3 + 4.\nAnswer: -18*sqrt(17) - 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -35*a + 24. Let f(m) = -90*m + 72. What is -4*f(s) + 11*j(s)?\nAnswer: -25*s - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 85535 - 15719. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8 - i**2 - 5 - 3. Let q(l) be the first derivative of 4*l**3\/3 + 1. Calculate k(q(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 2, s: 6, c: 3}. What is prob of picking 2 c?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61124, -122251, -183382, -244517, -305656?\nAnswer: -366799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12495?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 6. Let t be o(8). Let r be 4\/(-14) - (-214)\/14. Let k = t - r. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3951 and -0.4.\nAnswer: -1580.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 93.88816 tonnes?\nAnswer: 93888160000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7060*m - 7058*m - 2*w - 30 = 0, 0 = -2*m + w + 28 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 7*u + 25, y - 4 = -y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5866.5054 + -5867. Round n to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -15*t + 110. Let h be j(7). Suppose 2*a = -0*x + x - 60, -3*x + 152 = a. Suppose -h*r = -197 + x. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 + (-4734)\/(-12) + -3. Let w = -390 + d. Solve -w*n = -6*n - 3*u + 3, -5*u = -2*n - 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -997 minus 0?\nAnswer: -997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220626414 + -3.673.\nAnswer: -220626417.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + -10 + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 7*l**2 - l + 1. Suppose -5*o + 5*n + 2 = 52, -2*o - 3*n = 0. Let f be 21*-2*((-7)\/o + -1). Is h(f) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04657 - -3428.95343. Let g = k + -3437.00045. Let r = g + 8. Round r to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21250316 is divided by 420.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1048 and 600.\nAnswer: 78600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*q - 14 = -0*h, 2*q = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t - 2. Let g(f) = -20*f - 6. Let r(i) = i**3 + 7*i**2 - 7*i + 8. Let d be r(-8). Suppose d = -5*l + 84 + 1. Determine l*z(s) - 6*g(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*w + 126 + 564 = 0, -5 = w. Calculate the remainder when o is divided by 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/7 (b) -48 (c) 0 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/2 - 81*l**2 - 963*l\/2 + 564 = 0. What is l?\nAnswer: -47, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + sqrt(272))*3 + 0)*-4.\nAnswer: -96*sqrt(17) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55\/21 + 9\/7. Let w be 2\/1 + 88\/(-11) + 0 + 6. What is the smallest value in w, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - t**2 + t**2 + (-2*t**2 + 3*t**2 - 5*t**2)*((-2 + 1 + 2)*(-1 + 0 - 1) + 6 + 131 - 223).\nAnswer: 350*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.2. Let g = -498 - -500. What is the closest to y in g, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 4. Let z be d(0). Suppose o = -5*x + 231, 2*o - 227 = o - z*x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0243 + 0.1243. Which is the closest to 0? (a) u (b) -0.3 (c) 1\/11 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 5 = 11*j. Differentiate -51*p**2 - p - 103 + j*p + 23*p**2 + 29*p**2 with respect to p.\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {s: 1, y: 1, w: 4, o: 1, i: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - y - 3. Let z be k(3). Let u be 264\/z - (0 + 0). Let h be 11\/u*(0 - 0). Solve h = 4*s - 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*n - 4 = 2*n, -3*v + 3*n - 12 = 0. Let l(z) be the third derivative of -13*z**4\/24 + 6*z**2. Is l(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238863792 to the nearest integer?\nAnswer: 15455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -1, 8, -6, -3 in decreasing order.\nAnswer: 8, 5, 4, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = -63 - 81. What are the prime factors of 102\/85*2\/(d\/(-590))?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 33\/9)\/((-5)\/(-75)). Suppose 12*x - 8 = v*x. Suppose 3*y - 3*l = -6*l + 99, x*y - l = 127. Calculate the highest common factor of y and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4949 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 670.5674 tonnes?\nAnswer: 670567400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105858761 is divided by 7613.\nAnswer: 7609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 1, o: 1, n: 3}. Give prob of picking 1 o and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**2. Let z be 2 + -3 + 0\/(-2). Let x(u) = -u**2 - u. Let j(d) = z*q(d) - 6*x(d). Suppose j(f) = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4*o = -0*f, -3*o + 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - w)*(-w**3 + 0*w**3 + 0*w**3) - 3*w**4 - w**4 - 5*w**4 + (-25 + 25 + 6*w**2)*(w + 2*w + 0*w)*(-w + w + 2*w).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 64 = 2*c. Let k = -17 + c. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**4 + 148*j**2 + 233*j.\nAnswer: 36*j**2 + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251 - -7. Suppose 20*g = 17*g + f. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617*z - 60*z = 64992 for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1200) + sqrt(12))\/(sqrt(6) - sqrt(66)\/(sqrt(11) - sqrt(176)))*-1.\nAnswer: 27*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3637 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 327 = -3*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:26 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 661*h**3 - 362*h**3 + 7 - 143*h**2 + 2*h - 298*h**3 as z*h + r*h**2 + d + s*h**3 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147694712 is divided by 674405.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -10*y**3\/3 + 2*y**2 - 81*y. Let o be t(-1). Solve 0 = -o*w + 22*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27924?\nAnswer: 2, 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10752054, 10752049, 10752044, 10752039, 10752034, 10752029?\nAnswer: 10752024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 65, 67, 67, 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 924\/180 + 2\/(-15). Which is the second smallest value? (a) i (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1176639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -22194.019 to the nearest 10.\nAnswer: -22190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -47*r + 206. Give v(-7).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, m: 8}. What is prob of sequence mppm?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63344.58 days to minutes.\nAnswer: 91216195.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0, -0.4, 0.51, -5\/8, 14 in decreasing order.\nAnswer: 14, 0.51, 0, -0.4, -0.6, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1127121, -2254136, -3381153, -4508172, -5635193, -6762216?\n\"Answer: -m**2 - 1127012*m - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1705*h**2 + h. Let c(k) = 6*k - 28. Give c(p(x)).\nAnswer: 10230*x**2 + 6*x - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*a + 26 = -41, -3 = -3*a. Let d(i) = 18*i - w*i + 16*i. Let o(g) = 80*g**2. Calculate d(o(n)).\nAnswer: -160*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*s + s - 3*j, 3*s - 2*j = -2. Let g be (-215)\/(-86)*s\/31. Is g greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - i**2 + i + 1. Let x be (-960)\/(-672)*(-14)\/(-10). Let a(w) = -12*w**3 - 12*w**2 + 11*w + 12. Calculate x*a(o) - 22*r(o).\nAnswer: -2*o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 4*v**3\/3 + 143. Let x(q) be the first derivative of 1\/3*q**3 + 2 + 0*q + 0*q**2. Calculate -r(y) + 2*x(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*i - 216 - 282 = 0, -5*i = 3*b - 305. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 1602.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*o + 5*j + 15, 3*o - 4*j - 23 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 20 + 5*a - 2*a + 0*a + a + (3*a - 3*a + 2*a)*(-1 + 4 - 4) - 4*a - a + 1 + 8*a.\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(11)*2 - (sqrt(11) + -3)*3)*4.\nAnswer: -28*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as -0.040294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/((-660)\/(-80)))\/(11\/(-3)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3294440 by 82361.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 = 3*j + 17, -2*n = -3*j - 12. Let q be (-40)\/(-15) + -2 + n. Let i = 2 + -2.5. Which is the closest to q? (a) -4 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 21*b**4\/4 - 22*b. Let w(u) = -2*u. Give w(g(c)).\nAnswer: -126*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) + (-164)\/(-14). Suppose 5*b - 3 - l = 0. Suppose -11*x + 6*x + 115 = 0. Solve 4*s - b*z = -7, z = -s + 6*z - x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 105 - 13)*(0*z - 2*z + 0*z).\nAnswer: 286*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6239 and -146.\nAnswer: -910894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -726?\nAnswer: 1\/726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j**5 + j)*(-3 + 2 + 3) + (-7 + 7 - j**3)*(2*j - 2*j - j**2) + (-7*j**4 + 340 - 340)*(-3*j + 3*j + 3*j).\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 11*j + 59. Let n be (27\/18)\/(12\/80). Is 7 a factor of c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 4*v - 4. Let b be (10\/4)\/5*6. Solve -4*u = -b*u - v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19 + 2\/2)\/1. Let v = z - -13. Are -4 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/443489 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 633654 divided by -211218.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*v + v = -12, 5*v + 20 = z. Sort -2, z, -3 in increasing order.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16778 - 345 - 14173 = -652*h for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(3\/54). Solve 3*i - 3 - k = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2556*l + 116*l = -112240 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -81*v - 90*v + 8*v**3 + 15*v**2 + 155*v + 7 + 8*v**3 - 3. Suppose -6 = 5*p + 4*u - 61, 2*u = -5*p + 45. Is r(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 1575 = -1500 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -76\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 761048807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*l + 4 + 45, 5*l - 3*p = 53. Which is the closest to 0.1? (a) -3\/5 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 49*q - 1. Give r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079 (base 12) in base 7?\nAnswer: 5211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -10. Let d be ((-2)\/(-6))\/((-2)\/(-186)). Let c = d - 20. Calculate the remainder when b is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/24)\/((-84)\/224)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*z - 3*z + 0*z + (-2 - 2 + 3)*(-1 + 2*z + 1).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/7)\/y)**(-1\/21) assuming y is positive.\nAnswer: y**(1\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -277335 divided by 11\nAnswer: -277335\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 12593*x - 860948.\nAnswer: (x - 68)*(x + 12661)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-2268)\/16) - (-6)\/(-21)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532416733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p - 1 - 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1003 + 97 = 5*o. Let p be (-6)\/(-10) - o\/(-50). Suppose p*x + 2*v = -2*v + 115, 0 = -4*x - 2*v + 98. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3395345904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 28*t**2 - 338*t + 189. Let w be s(37). Let u be 3\/5 - (-4)\/10. Sort u, 2, w, -1.\nAnswer: -1, u, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-2)\/(2\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j**2 - 89*j**2 + 2*j + 0*j - 2*j.\nAnswer: -49*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.469 - 16.46888083. What is b rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18bd (base 14) in base 3?\nAnswer: 20010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*w**2 - 4*w + w + 3*w.\nAnswer: -94*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -706 by 519683.\nAnswer: -706\/519683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5851 - -5939. Suppose -3*i = 0, -4*q = 3*i - 189 - 159. Is q >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 109*h**3\/6 + 110*h**2 + 11901*h. Determine b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2578*h**3 - 4*h**2 - 13*h + 372. Let i(y) = -y**3 - y**2 - 2*y - 2. Let z(c) = -6*i(c) + v(c). What is the second derivative of z(o) wrt o?\nAnswer: 15504*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 5\/2, 1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 62, 252, 568, 1010, 1578?\n\"Answer: 63*z**2 + z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.1198\nAnswer: -0.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 29 (c) -136 (d) -0.2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/4 + 7 + (-2 - 1). Let k(y) = -1. Let q(x) be the first derivative of -x**3\/3 + 4*x - 2. Give u*k(d) - q(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 32*f - 29*f + 15*f.\nAnswer: 18*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3 + 4*t**2 - 325837*t*z**3 + 271*z**3 + 699*z**2 - z + 1 wrt t?\nAnswer: 3*t**2 + 8*t - 325837*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-9)\/(-75) + 1 + -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14815*f = -14807*f - 4*l + 20, -5*f = 2*l - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (-2)\/8 - (-2 - (-212)\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11304 and 2412.\nAnswer: 757368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + d1?\nAnswer: d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 323 + 149. Let d be (4\/7)\/(753\/(-84) - (60 - 69)). Suppose -11*u - d = -p. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 189 + 43. Let g(u) = p*u - 3*u - 13*u - 11*u + 4. Determine g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 2*a + h + 1, a = 5*h + 5. Suppose 2 = i - a. Solve -5*w - 8 = 2*d, -7*d + w - 20 = -i*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 70951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 4.8. Let j = -225 - -228. Which is the second biggest value? (a) o (b) -0.5 (c) -1\/6 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 763.9394 - -0.0606. Which is the closest to 0? (a) -5 (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18172 - -18174. Let o(z) be the first derivative of 3\/4*z**4 + 0*z + 7 - j*z**3 + 3\/2*z**2. What is k in o(k) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1341918 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*d = -607 - 313 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*y + 244 - 287 - 289 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 4, -14, -179.\nAnswer: -179, -14, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 385 + -a?\nAnswer: 37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -81070\/7463 <= -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 631804, 1263518, 1895232?\n\"Answer: 631714*d + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -56.1 - 6.4015295\nAnswer: -62.5015295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1921031, -1921143, -1921445, -1922033, -1923003, -1924451?\nAnswer: -1926473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*j + 2*y + 8, -3*j - 6 = -5*y. Suppose -4*m = -35 - 17. Solve g + m = 3*x - j*g, -g = 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-21)*((-362)\/(-238) - 156\/546)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/12 - 5*u**3\/2 + 19*u**2\/2 + 42*u. Let f be c(-16). Solve -f*s = -6*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -5*u**7\/42 + u**6\/24 + 1261*u**4\/12 - 2921*u**2. Find the second derivative of s(r) wrt r.\nAnswer: -300*r**2 + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512674 divided by -2?\nAnswer: -256337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 4*b**2 - 5*b + 3. Let q be n(-5). What is the second derivative of -q*d**3 + 0*d**3 + d + 7*d - 8*d**3 wrt d?\nAnswer: -66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33980 = 3123*w - 8923 - 35172 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 4*r**2 + r**2)*(5*r - 4*r + r)*(r - r - 6*r)*(-r + 4*r - 4*r).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 90653, -1, 3.6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25892568 take away 2?\nAnswer: -25892570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nytnytnyytyytyty. What is prob of picking 1 y and 2 n?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Let t = 6.3 - 6.26. Let d(p) = 51*p - 46. Let j be d(1). What is the second smallest value in t, j, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55.6999367 + -55.7. What is n rounded to 6 decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 696 + -708 + 14 + (1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + 1. Let t be ((-7)\/((-14)\/(-4)))\/(-2). Let v be k(t). Let w be v*3\/3*1. Solve -b = u + u - 3, -u = w*b - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -226 - -398. Let y = 388 - z. Suppose n + 3*n = -4*l + y, 3*n = -2*l + 162. Calculate the highest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from accacac. What is prob of picking 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.38524 + -0.385205573. Round v to 7 decimal places.\nAnswer: 0.0000344","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.061 at most 2\/391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -32*u**2. Let k(i) = -197*i. Give k(h(f)).\nAnswer: 6304*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.039, -24, 0.1.\nAnswer: -24, 0.039, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 86\/23 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = -f - f, 2*f = 10. Let x = 1154\/19 - 566576\/9329. Is r < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**47*(k\/k**(-4\/5))\/k*k\/(k\/(k\/k**9)) assuming k is positive.\nAnswer: k**(-506\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(3 - 8\/1). What are the prime factors of (6\/(-10))\/(2\/j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (616\/196)\/((8\/(-14))\/2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -932, -2128, -3810?\nAnswer: -5978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-10)\/(-10))\/(3\/111) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 - 2*u**2 - 2*u**2 - 7. Let r(w) = 6 - 8 + 4. What is -2*m(t) - 7*r(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-90)\/93 - (-163)\/9291*57.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 111*k - 1214. Let g be u(10). Which is the closest to 30? (a) -0.3 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11993 and -11993 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7*92\/(-161)*(4\/2)\/(4\/(-29))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4 = x. Let d = 0 + 0. Put x, -5, d in descending order.\nAnswer: d, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - w + 11, 0 = -3*r - 4*w - w + 33. Suppose -2*f = -5*i + 948, r*f - 10*f - 761 = -4*i. 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 the remainder when 7888 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490746413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 472\/11800 + (-1502)\/50.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 0*o - 1\/2*o**2 - 10 - 1\/4*o**4 + 2\/3*o**3. Determine n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 55, -0.17, -18, 1?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*y**2 - 116*y**2 + 1097 - 1097 as l*y**2 + p*y + t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1\/2*-2. Let t be w\/((-1)\/(4 + -13)). Let l be ((-3)\/t)\/((-1)\/9). Is l at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*m - 28 = w, 3*m = -15. Suppose -w*p + 738 = 2*g, 0 = -5*g - 8*p + 3*p + 1830. Let z = g - 209. What is z rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-two fifths of a hour?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3071 + 3136. Which is smaller: 38 or q?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -143, -142?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42334 is divided by 44.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12459, -12250, -12041, -11832, -11623?\n\"Answer: 209*d - 12668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2149 (base 12) to base 15\nAnswer: -113c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x. Suppose -9 = 3*h - 3. Let l(v) = 2*v + 5. Let w(d) = -d - 2. Let t(p) = h*l(p) - 5*w(p). Determine t(c(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33546586.\nAnswer: 2, 449, 37357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 12*i - 13. Let z(u) = u**2 - 11*u - 12. Let d(k) = -5*w(k) + 6*z(k). What is the remainder when 37 is divided by d(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**4 + 20*l**3 - 1518740*l**2 + 21248560*l - 36422400 = 0?\nAnswer: -560, 2, 12, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404 = 476*f - 72*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15395, -15065, -14517, -13751?\nAnswer: -12767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5*z - 56 = 0, -3*o + 4217 - 4277 = 9*z for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -56, -57, -58?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002865165 rounded to six decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 361*b - 362*b + 7*b**3 to l + s*b**2 + t*b + o*b**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(1\/2)*o)\/o))\/o*o)**(-1\/14)*o**(2\/5)\/(o*o\/(o**(3\/2)\/o)*o) assuming o is positive.\nAnswer: o**(-299\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*r = 4581*r + 1772*r + 7252 + 154964 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/8, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1214\/19 + 64. Suppose 2*r - w = 2*w - 13, -16 = 5*r - 2*w. Let h be -3 - 3 - -3 - r. Do j and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*t + 188, -r - 5*t + 43 = -0*t. Calculate the remainder when r is divided by 16\/104 + 334\/26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.53*5.\nAnswer: 12.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + 4*g)*(-801 + 461 + 429)*(2*g**2 + 2*g - 11*g + 2*g**2 - 7*g**2).\nAnswer: -534*g**3 - 1602*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466101046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, l: 4, o: 3, y: 2}. What is prob of sequence ggyl?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*m = -2*m + 21, 0 = 5*v + 3*m + 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113\/295 + -1\/59. Let g be 8\/18 + 4\/(-6). Let u = -48 - -43. What is the biggest value in u, q, 1\/6, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*24900460.\nAnswer: -29880552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.83 + -36.17. Let d = -42.8 - o. Round d to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w - 3. Let f be s(-2). Suppose 0*q + f*q = 6. Suppose 0 = -i + q*i - 4. Calculate the remainder when i is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f - 4*f**2 + 6*f + (3 + 1 - 1)*(530 - 530 + 53*f**2).\nAnswer: 155*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 12*q + 5*p - 49, -24*q + 89 = -28*q + 13*p for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7891 and 2462460?\nAnswer: 1494713220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 66 - 18. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2398 divided by -1.\nAnswer: 2398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 0 + (-330)\/385*7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/84)\/((-8697)\/16380 - 2\/(-5))\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(2835)*-3 - sqrt(315)*2)\/(sqrt(448) + -6*(-4*sqrt(448) - sqrt(448) - sqrt(448))).\nAnswer: -4*sqrt(5)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:14 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, b: 1, m: 2, e: 2, w: 2}. What is prob of sequence wmw?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/10200*-36*10\/18.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m*o*r + 23*m*o - 61*m*r + 9*m + 83*o*r + 2*o + 69 wrt r?\nAnswer: 2*m*o - 61*m + 83*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and ((-79105)\/39)\/((-6)\/9) - 9\/18?\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -32*o**6\/5 - 336*o**5\/25 - 99*o**4\/20 + 14*o**3\/5 - 3*o**2\/10 + 27. Factor q(n).\nAnswer: -3*n*(n + 1)**2*(8*n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/14 and ((-136)\/48)\/((-6)\/(-15))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 89.68917um?\nAnswer: 89689.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 less than or equal to 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*u**4 - 753948*u**3 - 65560*u**2.\nAnswer: -4*u**2*(u + 8195)*(23*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 10526, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62560 by 5.\nAnswer: 12512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12)*(-20)\/(-40).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394038.\nAnswer: 2, 3, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.3. Let t = 9 - 9.1. What is the nearest to t in -1, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3079, 12484, 28143, 50044, 78175, 112524?\nAnswer: 153079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i - 10. What are the prime factors of (-5)\/10 + i\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4175 - -4214.06. Let o = 38 - z. Let u = o - 0.03. Round u to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 21985 = 2*n, -d - 4*n + 21988 = -5*n. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 39*s. Let d(y) = 3*y**2 + 4*y. Let o(w) = w**2 + w. Let i(m) = d(m) - 4*o(m). Determine t(i(a)).\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*x + 5445 = 589*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*k + 9*k + 64, -2*r + 3*k - 42 = 0. Let y(v) = -2*v - 8. Let p be y(-5). Let w be (p\/6)\/(2\/(-18)). Sort 5, r, w in decreasing order.\nAnswer: 5, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*a - 288525 = -283725 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1025970592?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 102620395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + ((sqrt(192)*-2 - sqrt(192))*-1 + sqrt(192) + -2 + 0)*-6)*1)**2 + 3.\nAnswer: -2688*sqrt(3) + 110644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.171 * 0.4\nAnswer: 0.0684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 14) to base 4\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 6:48 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sggxs. Give prob of sequence gg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.8866 + -16.9. Round n to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z\/z**(1\/4)))))**(-45)\/(z**3*z**6))\/(z**(-5)\/z**(-2\/23))**20 assuming z is positive.\nAnswer: z**(7177\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.7 + -13.7. Let f be ((-12)\/5 - 0)*170\/(-3). Which is the third biggest value? (a) z (b) 2\/17 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m**2 + m - 2. Let k be t(1). Calculate the greatest common divisor of k and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-90)\/(-12)*70\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 48 + 15 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*v**2)*(-1 + 1 - 2*v**2) + 2*v**4 + 2*v**4 - 5*v**4 + v**3 - 2*v**3 - 2241*v**4 - 3223*v**4 + 220*v**4.\nAnswer: -5241*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0 + 9. Calculate the remainder when -1*(m*-25 + 2) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 3, -0.05, -2, -2\/127?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 213529267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/4 - 7\/(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12097909 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: Which is the smallest value? (a) 1\/4 (b) 4 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 36. Suppose 0 = -5*t - 3*w - w - 10, -2*t = z*w + 6. Solve -3*x = -4*r - 11, -5*x - 6*r = -t*r + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 29 = 3*d - 126, 5*w = 2*d + 104. What is the smallest common multiple of w and 160?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -797095.28346 + 797069. Let n = -26.26 - i. What is n rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*p + 15, 0 = 5*t + 2*p + 2 - 8. Suppose t = -4*s + 42 - 10. Calculate the highest common divisor of s and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from qqfhhhquqquqqqhqqqf?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 6210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*j - 1\/3*j**2 + 2\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 25. Let c be n(0). Let f = c - 17. Let s(u) = -u**3 + 6*u**2 + 16*u - 4. Let p be s(f). What is the smallest value in 4, -2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -279ab29 - 1?\nAnswer: -279ab2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2009810 and 38720.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-288))\/(-9 - (-1708)\/112).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4 - 65770500*p**3 + 540719570699186*p**2 + 4325759722578000*p + 8651521549812512 = 0. What is p?\nAnswer: -4, 16442629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 688540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b. Let g(m) = -2*m. Let k(r) = 5*g(r) - 4*o(r). Let c(a) be the third derivative of -3*a**4\/8 + a**2. What is k(c(h))?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 3*s - 168. Let z be r(0). Which is smaller: -170 or z?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4252150667 to the power of 1\/2, to the nearest integer?\nAnswer: 65209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 - 2 = -3*c, 2*c - 4 = 2*k. Let b be ((-6)\/4)\/(((-33)\/(-6))\/11). Do k and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 286, 11, -2.\nAnswer: -4, -2, 11, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.8 + 7.2. Let m = b + -24. Let h = 14.9999932 - m. What is h rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -54.38 (b) -71 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -19. Let b = f - 16.1. Let p = b - -0.10038. What is p rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - w**2 + 2*w - 7. Is m(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1.26, -473\/2, 1\/14 in ascending order.\nAnswer: -473\/2, -1.26, 1\/14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12326, -49090, -110364, -196148, -306442?\nAnswer: -441246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3465720.\nAnswer: 2, 3, 5, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62824 (base 10) to base 8.\nAnswer: -172550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 6. Suppose -10*z = 7*z - 391. Calculate the remainder when c is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 16409*c**3 + 8181*c**3 + 8197*c**3.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t**5 + 8762*t**4 - 193864*t**3 + 417418*t**2 - 129732*t = 0. Calculate t.\nAnswer: -569, 0, 3\/8, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, 179.27, 6\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4166 + 4156 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 16 (c) 1.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1180 = -4*h - 4*f, -4*h - 2*f - 4 = -1190. What is the hundreds digit of h\/2 - (-12 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(637)*2 + 3)**2 - (4*(-4 + sqrt(13)*-5 + sqrt(13))*-6)**2.\nAnswer: -118823 - 18600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43877 by -29.\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 2*c**2 + 0*c**2)*(-4*c + 3*c - 7*c).\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 20*t**3\/3 + 7*t**2\/2 + 8*t - 1. What is the remainder when 99 is divided by w(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 117866.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2. Let a(g) = -3*g + 3. Let f(b) = -6*b + 5. Let u(l) = -5*a(l) + 3*f(l). Determine u(d(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2.1 (c) -0.2 (d) 2\/5 (e) -3 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3743*u**2. Let f(j) = -7642 - 7648 - 4*j**2 + 3*j**2 + 15290. Calculate w(f(n)).\nAnswer: -3743*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-34)\/4)\/((-1)\/2). What is the greatest common divisor of h and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12105302, 12105297, 12105292, 12105287, 12105282, 12105277?\nAnswer: 12105272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3591913368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1212311 + 2013?\nAnswer: 1214324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = q + 5. Solve -4 = o - q*p, 4*p - 5*p + 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 384 + -152. Let q = s - 231.9. Is q < -13\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1506 - -1528. Solve -4 = 6*y - c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126563850 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 30 = -4*c, 2*c - 5*h + 9 = c. Differentiate -7*o + c*o - 4*o + 34 - 6*o with respect to o.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(-4\/5)\/(j**4*j*j**(-5)*j))\/(j*j**(-2\/15)*j**(2\/19))**(-7\/4) assuming j is positive.\nAnswer: j**(-205\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o - 4*f - 30 = 0, 2*o - 25 = f. Suppose -5*y + 5614 = -c, 15*y - o*y - 5618 = 2*c. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.114 < -234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 3*r + 8. Let s be y(-2). Let m(n) = -5*n - 31. What is the units digit of m(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 344013.089971 - 344014. Let x = -203 + 202.09. Let c = t - x. Round c to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -4 (c) 7 (d) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from yyynd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 105\/(-70)*(-12)\/1530*-10\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 2343030020?\nAnswer: 2343030012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 847, 848, 851, 856, 863, 872?\n\"Answer: g**2 - 2*g + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 8\/49, 2\/7, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -315, -1, 5, 1 in decreasing order.\nAnswer: 5, 1, -1, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {v: 2, i: 2, j: 1, f: 1, r: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 + 14*d**2 - 2*d + 4. Let f(n) = 4*n**3 + 15*n**2 - 3*n + 5. Calculate -4*f(l) + 5*o(l).\nAnswer: -l**3 + 10*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9)*0)\/((-12)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + l**2 - l - 1. Let y(u) = 7*u**3 + 2*u**2 - 4*u - 6. Suppose 291*i - 126 = 285*i. Suppose i - 19 = -2*r. Calculate r*y(h) + 6*n(h).\nAnswer: -h**3 + 4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44426050\/197157 + -2\/65719. Let 52\/3*i - n - 1\/3*i**2 = 0. Calculate i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - -29. Suppose r = -5*n + 380. Let f = n - -16. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3*p = 0, -4*l - 40 = l - 5*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**4 - 4*m**4 + 0*m**4 + (3*m - 3*m + 2*m)*(m**3 - 4*m**2 + 4*m**2) + (-m**2 - m**2 + 8*m**2)*(2*m**2 + 2*m**2 - 5*m**2) - 32 + 11*m**4 + 32.\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 6. Suppose 2*u - 4 = -k, -4*u + o = u. Suppose 6*a = -9*a - a. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v - 2*v**2)*(17*v**3 + 7*v**3 - 2*v**3).\nAnswer: -44*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -227.99 = 341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 2*n**2 + 10*n**4 + 0*n + 2*n**4 - 20*n**4 + n + n**3 as q*n**2 + d*n**3 + s*n + y + u*n**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6153.97 - 6154. Which is bigger: m or -39.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158090 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.5939um in centimeters?\nAnswer: 0.01695939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k**3 + 0 + 1\/8*k**6 + 1\/70*k**7 - 3\/112*k**8 - 1\/4*k**4 + 3*k**2 - 1\/20*k**5 + 0*k. Determine z so that n(z) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-24)*((-192)\/(-20))\/(-4)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146952691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l - 3 = -26*l + 4*z, -4*l + 72 = -5*z. Solve 6*u - 1 = -l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2495042273 to the nearest integer?\nAnswer: 49950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*h*v**2 - 239*h*v + 170233858*h + 37*v**2 + v with respect to v.\nAnswer: -32*h*v - 239*h + 74*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3149*l**2 + 6229*l**2 + 10477*l**2 to the form q + c*l**2 + m*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 438077748 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5152517655 to the nearest integer?\nAnswer: 71781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2229806429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37\/3? (a) 6 (b) -3 (c) 2\/3 (d) 2\/11 (e) -20\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753*z - 58044 = -34701 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (-4 - 8 - 21 - -10 - -9)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 4*t - 4*t + 3*t - 7*t + 3*t + (-1 - 2 + 2)*(0*t + 0*t - t) + 2*t - 7*t - 6*t)*(2 - 1 - 3)*(-2 + 2 + 2) to x + h*t and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llltzltwl. Give prob of sequence tztw.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 13. Suppose -2*x + y = -561. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a factor of 1112348500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -54. Suppose t = -2*r + 39 + 39. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 16}. What is prob of picking 2 d?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(350)*1)\/sqrt(7))\/(sqrt(120)\/(1*sqrt(192))).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 15 = 5*s - 4*h, 3*h + 25 = 4*s. Let a(f) = 10*f**3 - f**2 + 1. Calculate the least common multiple of a(1) and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50.401 + 50.001. Suppose -4*u - 1 = -3*u. What is the nearest to u in 3, 2, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let o(l) = -l**3 - 5*l**2. Give o(u) + y(u).\nAnswer: -u**3 - 5*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 837, 3591, 8297, 15051, 23949, 35087, 48561?\nAnswer: 64467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 49*z**2 - 34*z + 1669. Let v be g(49). What is the third biggest value in -15, 0, v, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -703 + 748.3. Let l = o - 45. Which is the nearest to -1? (a) l (b) -0.04 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 75 - (31 - (-10 - -9 - 1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 48 * -0.097\nAnswer: -4.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Determine b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = s + 5*x, 21*x + 21 = -3*s + 23*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 22. What is the units digit of (15 - k - 2) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*j + 28, -j - t = 3*t + 4. Let y be (-182)\/(-348) - (-4)\/j. Let o = y + -1139\/348. Calculate the common denominator of o and -71\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 7*v**2 + 18*v + 2. Let d be f(9). Suppose -d*n + 0*q + 4424 = -4*q, -3*n - 3*q = -6636. Let h = n + -731. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174 + 173.6. What is the second smallest value in 2\/19, -0.06, v?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let j(g) = 19*g. Calculate j(y(a)).\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 16*b**2 - 262*b + 65. What is l(26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 78 (b) -0.3 (c) -0.1 (d) 0.07349\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81861683?\nAnswer: 81861683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, 3\/8, -4 in descending order.\nAnswer: 114, 3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4616 or 4617?\nAnswer: 4616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*f + 655*f**2 + 23*f + 26*f as k*f**2 + b*f + q and give k.\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1071\/34)\/21*(-4)\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18936000 rounded to the nearest one hundred thousand?\nAnswer: 18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3042, 23530, 57678, 105486, 166954, 242082?\nAnswer: 330870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/60*-3)\/(2\/10). Which is the third biggest value? (a) -2\/11 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*p + 16772 = 110*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -551*x**4\/4 - 236*x**3 + 3*x - 771. Find the second derivative of j(k) wrt k.\nAnswer: -3306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*k**2 + 1278007 - 96*k**2 - 1278007.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d + 93. Calculate o(-18).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+-127383896\nAnswer: -127383895.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*t - 5*i, -5*i = -5*t - 2*i + 18. Let k be (6\/(-6))\/(1\/(-58)). Suppose 5*r - k = t*r. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257921 to the power of 1\/2, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.05 - -0.05. Let h = w + 3. Is -3 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64269 - 14529 = 30*y. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 0*x**4 - 10*x**3 + 0*x**5 - 13\/6*x**6 + 0*x + 0*x**2 - 19. Find the third derivative of p(z) wrt z.\nAnswer: -780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z + 5*w = -115, -z = w - 31. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose 2*o + 2*z - 5*z = -112, 3*o - j*z + 163 = 0. Let v = -18 - o. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 3*o = -13*l + 8 - 19, -15*o + 73 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -70, 11 in descending order.\nAnswer: 11, 5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:10 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 3*p**2 + 1330*p + 10. Let f be s(-35). Solve -4*r + 302 - 277 = -5*c, -2*r + 2*c = -f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 7) to base 9.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17641466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*p**2 - 548 - 16*p**2 + p - 20*p**2 + 0*p + 61*p**2 to the form g + u*p**2 + w*p and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 96 = -14*c + 3*v, -2*v = 3*c - 41 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 59 + -88\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 9) in base 11?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2830351 is divided by 219?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 35, 0, -0.3 in decreasing order.\nAnswer: 35, 5, 0, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16242*c**3 - 7083*c**3 - 9156*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/21*124392\/134758.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -19*k**3 + k**2 - 24*k + 3. Is a(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31 - -277a?\nAnswer: 2749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (-33)\/15)*-5. Suppose -2*v - 2*v = -y. Suppose 0 = -23*w + 114*w - 91. Solve -v*h + 3 = -w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -618, -765, -1000, -1317, -1710, -2173?\nAnswer: -2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 15*n + 10. What is y(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.16 - -2862917?\nAnswer: 2862930.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w. Suppose 4*n + 13 - 5 = 0. Let o be v(n). Let q = o - 10. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-500)\/126 - (860\/90 + -10)) + 4\/42.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 7:22 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**4\/3 + b**2\/2 - 6*b. Differentiate l(q) wrt q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125343 * -0.4.\nAnswer: -50137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1471*r - 1286*r - 294*r**2 - 2977*r.\nAnswer: -294*r**2 - 2792*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 - u**2 + 8*u**2 - 5*u + 4*u**3 - 3*u**2 in the form r*u + s*u**2 + o*u**3 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 547a - -325?\nAnswer: 57a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112.874 + -2.426. Let d = 200.6 + f. What is d rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*q = -3*q - 787, -4*q + 390 = 2*y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.4 (b) 1\/3 (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 3927*x + 12385*x.\nAnswer: 16312*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 5:54 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 268722761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 7. Determine t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -45, -69, -103, -147?\n\"Answer: -5*u**2 + u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1408860 divided by 13045.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31\/5 of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(-1) + (-22)\/(-4). Suppose p - 5*l = -4*l - 3, 5*p - 3*l + 5 = 0. Sort 0, -1, p, m in increasing order.\nAnswer: -1, 0, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440512 (base 8) to base 16.\nAnswer: 2414a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 7*p + 4. Let u be l(-7). Suppose -u*b = b. Solve b = 2*a - 0*h + h + 11, 9 = -2*a + h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/2 of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.004 - -0.004. Which is the nearest to t? (a) -1 (b) -0.03 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22103 - -233?\nAnswer: -21210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011011110 - -100111?\nAnswer: 11010100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1390 + -356.700264?\nAnswer: -1746.700264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from trrzrrrzrzrzz?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -57. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 782*a**4 - 808*a**2?\nAnswer: 18768*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.5, 0.\nAnswer: -0.5, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 851 - 641. Let f be 106\/(-1113) + 188\/w. Factor 2\/5*z**4 + 0*z**2 - f*z + 4\/5*z**3 - 2\/5.\nAnswer: 2*(z - 1)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -418370, -1\/3 in increasing order.\nAnswer: -418370, -3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013312203001 + -2?\nAnswer: -1013312203003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 257\/77 + -24\/7. What is the third smallest value in k, -0.4, -2, 0.2, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - d - 1. Let p be 27\/(-33) + 2\/(-11). Let o be m(p). Let s(l) = 2 - l - 2 + 4*l**o + 1. What is s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*21580.\nAnswer: -21580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + y + 280003 - 280000 = 4*y, q = -5*y + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1013\/522?\nAnswer: -1013\/522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682*x + 26 - 13 - 3 - 10.\nAnswer: -682*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 58 + 4668799076\nAnswer: 4668799134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 124*l + 82 = 120*l, -p - 4*l = -12*l - 167 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60796843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -851, -3293, -7387, -13133, -20531, -29581?\n\"Answer: -826*i**2 + 36*i - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000131597 rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 32 times -1.01\nAnswer: -32.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*k - 472*k + 2093 + 3634 = -510 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -7, 5*w - 16*h = -19*h + 17. Suppose 3*u + 15 = -4*a, 3*a = -5*u - 24 - 1. Suppose a*y + 2*y = 0. Solve y = -0*j + j + w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111957\/59 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3\/11 - 20*c**2\/11 + 48*c\/11 = 0.\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/411 + 1243\/2055. Which is smaller: -13 or o?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8484 times 558.9\nAnswer: 474.17076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d = 85 + 13. Let a be (-27)\/(-99)*(-1 + 3). Let i = 3 + -6. Put d, i, -3\/7, a in decreasing order.\nAnswer: d, a, -3\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*b**2 + 98*b**2 - 20*b**3)*(-1 - 7 + 2).\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 675, 2734, 6169, 10980, 17167, 24730, 33669?\n\"Answer: 688*t**2 - 5*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10371911 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z\/z**3*z))\/(z\/((z**6\/z)\/z)*z))**(8\/11))**5)**9 assuming z is positive.\nAnswer: z**(1080\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 11. Let b be i(7). Suppose -842 = -17*m - 536. Calculate the greatest common divisor of m and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4225 by 5.\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 50523?\nAnswer: 50531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let i(o) be the second derivative of -o**3\/6 - 28*o**2 - 26*o. Give i(y(g)).\nAnswer: g - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194345 is divided by 24275?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238423873?\nAnswer: 22469, 55117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 1:57 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25.616 from -0.0384.\nAnswer: -25.6544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: ((968\/143)\/(-22))\/(-2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005415657 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3345 + -3317. What is the least common multiple of x and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) 16700 (d) -9\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 83496 divided by 1176\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 + -50. Let d = -143 - i. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 25. Let m = -18.4 + g. Let t = -1.6 + m. What is the third biggest value in 5, -4\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 480 - -68. List the prime factors of z.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 1215*c**2 + 164025*c + 7381125.\nAnswer: 3*(c + 135)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvjvyvlvv. Give prob of sequence vvlj.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 7536876.41\nAnswer: 7536876.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g + 2*x, -2*g - 2*x + 2 + 2 = 0. Suppose 7 = 4*z - 3*h, 3*z - 5*h = -0*z + 8. Let b be 22\/(-18) + (2 - z). Which is bigger: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, j: 5, z: 1, u: 5}. What is prob of picking 2 c and 1 z?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 394993 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(-2\/7)\/b*b\/b**(-1)*b**(-1\/4)\/(b*b**(-6)\/b*b*b)*((b\/b**0)**(-12\/7))**19 assuming b is positive.\nAnswer: b**(-731\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 + 124. Suppose 4*n + 2*y = 71 - 19, -4*y = -3*n + 61. Calculate the greatest common factor of n and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53165781733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(252) - (sqrt(252) - sqrt(252)*2)*2)\/((sqrt(84) - (sqrt(84) + sqrt(84)*-1))\/sqrt(7)))\/(2*sqrt(21)\/sqrt(3) - sqrt(504)\/sqrt(8)))**2.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9076044 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -123?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6160423, -6160424, -6160425?\n\"Answer: -j - 6160422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4947 - 4947 - 356*z)*(2*z**3 - 3*z**3 + 0*z**3 + 3*z**2) to m*z**4 + d*z + v*z**3 + h*z**2 + b and give v.\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18105*a**2*g + 8*a*g + 7*a + 2*g + 16 wrt a.\nAnswer: -36210*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-80)\/(-3)*48\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 2 - 2 + (-3 - 6 + 4)*(0*b + b - 3*b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4849\/5 or 970?\nAnswer: 4849\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 - 374*a**4 - 2652*a**3 - 5706*a**2 - 3429*a.\nAnswer: a*(a - 381)*(a + 1)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*f + 4*k + 15, -5*k = -3*f + 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238810 and 312?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 85 = -115. Suppose 0*v + 2*v = q. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4 + 77692*x**3 - 776604*x**2 + 1630692*x = 0 for x.\nAnswer: 0, 3, 7, 19413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77036086 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 755*w**2 - 833*w - 1 wrt w?\nAnswer: 1510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-6 - -9) - 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10106 + 10112. Solve -6 = -s + b, h*s - s = -5*b - 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383, 739, 1091, 1439, 1783?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b943 - -2?\nAnswer: -2b941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -26 (b) -0.338 (c) -5\/14 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven fifths of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 839800 rounded to the nearest 10000?\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 5) to base 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 437 - 435. Suppose -2*r = -x*k + 4*k + 12, 0 = -4*k - 16. Let a(h) = -8*h + 2. Let i(j) = 1. Determine r*i(g) + a(g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 617*j**4 + 63905*j + 145999648.\nAnswer: 2468*j**3 + 63905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30073265*p**2 + 487035*p**3 - 487033*p**3 + 30073265*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.72057 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d**2 - 7*d. Let l(c) = -c**2 + 4*c - 2*c**2 - 2*c**2. Let q(a) = -7*l(a) - 4*o(a). Let n(j) = -j. Give n(q(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:02 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10528 - 51848 = -483*a + 9395 for a.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1647846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2171 - -1961. What is the closest to -1\/2 in -1\/4, -0.5, r, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 6*u**2 + 11*u - 10. Determine t(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 + 279*u + 1168. Determine t(-4).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o**2 + o - 1. Let k(m) = 4*m**3 + 4*m**2 - m + 3. Let b = -49 + 50. Calculate b*k(d) + 3*z(d).\nAnswer: d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 1526 + 1512 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1575\/22, 2, -5\/1474?\nAnswer: -1575\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k**3 - 392*k**2 + 82*k - 155. Calculate t(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, l: 2}. What is prob of sequence hhhl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1761*g**3 + 1757*g**3 - 3519*g**3 - 3*g**2 - 12*g in the form r + l*g**2 + w*g**3 + f*g and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 239017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x + 2. Let y(f) be the third derivative of 31*f**4\/24 - f**3\/2 - 5143*f**2. Give 5*o(h) + 3*y(h).\nAnswer: 18*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3779*w**3 + 24*w + 3. Let s(g) = 23800142*g**3 - 151160*g - 18895. Give -18895*d(o) - 3*s(o).\nAnswer: 3779*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:13 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 25*s**3 - 6*s**2 + 6*s. Let r(q) = -26*q**3 + 7*q**2 - 7*q. Calculate 6*r(u) + 7*w(u).\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 180\/1380097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 3684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 1. Let l(w) = 12*w - 70. Let k(a) = l(a) - 2*p(a). What is the first derivative of k(n) wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -3, -12 in increasing order.\nAnswer: -12, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + 14.56. Round w to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/15821 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4768569 take away -2.02092?\nAnswer: 4768571.02092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139061 by 103.\nAnswer: 139061\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*r - 2 = -5, 5*r = 4*v - 62. What is the first derivative of -44 - 12*s + 4*s**2 + v*s + 7*s wrt s?\nAnswer: 8*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 y when three letters picked without replacement from {r: 1, t: 2, d: 2, m: 5, y: 2, s: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 14*y = -33*y + 256. Let l be (-4)\/18 - (-338)\/(-18). Let q = l - -43. What is the greatest common factor of y and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j + 2. Suppose -18*z + 50 + 40 = 0. Calculate y(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/70)\/1*-16. Let n = -164 + 828\/5. Determine w so that n*w**4 - 2\/5*w**3 + 0 - c*w**2 + 2\/5*w = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 853634 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 10*z**2 - 40*z - 51. What is d(14)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 times -2760.07?\nAnswer: -2.76007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272985 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + (sqrt(180) - (2*sqrt(180))**2) - sqrt(180)) - (sqrt(180)*2 + sqrt(20)\/sqrt(16))*6.\nAnswer: -716 - 75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 8966188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4) - sqrt(60))\/sqrt(12) - sqrt(5))*1.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 1:58 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 16 = -38*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q + 4. Let t be r(-10). Let h = -36 - t. Let l = h + -35. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -613*b**4 + 8*b**3 - 19. Let k(d) = -614*d**4 + 10*d**3 - 21. Let z(g) = -5*h(g) + 4*k(g). What is the first derivative of z(s) wrt s?\nAnswer: 2436*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.039, 20, 3\/2, 0.1, 0.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36818656?\nAnswer: 2, 7, 19, 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 24 = -5*m, -7*m + 3*m + 27 = k. Let a be (-8 - -9)\/((-1)\/11). Let x(d) = -7*d**3. Let y(v) = -4*v**3. Calculate a*y(w) + m*x(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 1270 = -490. Calculate the remainder when 896 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - 3550\/(-4). Let n = 1266 - p. Let g be 3\/n - (-8)\/(-36). Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7047364?\nAnswer: 2, 83, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13742, -13675, -13594, -13493, -13366?\nAnswer: -13207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 487166\/19943985039 - -4\/355717. Is m less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from {l: 6, k: 11, x: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1, -3\/2, -127882 in decreasing order.\nAnswer: -2\/3, -1, -3\/2, -127882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-195)\/(-42) + 3*(-119)\/102)\/(20\/21)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/4 - l**4\/6 + 17*l**2. Let w(y) = -15*y**2 + 5*y. Let b(t) = -5*n(t) - 4*w(t). Let h(j) = j. Determine b(h(o)).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/2*2\/8. Solve 0 = -z*a + 6*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2 + sqrt(48) + sqrt(48))*-3)**2.\nAnswer: -288*sqrt(3) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*t**2 + 88*t**2 - 47*t**2.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5122, -4, 48 in ascending order.\nAnswer: -5122, -5, -4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3754*i + 1386*i**2 + 1 + 1878*i + 1879*i to o*i + c*i**2 + k and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.28? (a) -0.155 (b) 3 (c) 1 (d) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379452673 to the nearest integer?\nAnswer: 19480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 19}. What is prob of sequence vu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78707049.\nAnswer: 3, 26235683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 69*o + 1721. What is w(-25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 8*p**3\/45 - 23*p**2\/15 - 4*p\/5 - 248. Find g, given that m(g) = 0.\nAnswer: -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 0 + 0 + 17*l**2. Let q(j) = -23*j**2. Let t(w) = -4*w**2. Let b(d) = -6*q(d) + 34*t(d). Calculate g(b(s)).\nAnswer: 68*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-2)\/(-56))\/(20\/(-80))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*z + 26 - 384*z + 44*z - 34 + 7.\nAnswer: -282*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 2426\/318159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 2671*k + 2640*k + 53, -4*b - 4*k = 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/33 - (-14)\/3. Find the third derivative of 2 + 6 - 8 + 39*w**i + w**2 wrt w.\nAnswer: 2340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**4 + 4\/3*f**3 - 10*f**2 + 12*f - 2. Find x such that o(x) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503 is divided by 151?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**4\/4 - 11*l**3\/6 - 18*l**2. Does 6 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -18, -73, -158, -273, -418, -593?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/17 in -3, 3, -0.027?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589417394.\nAnswer: 2, 41, 7188017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 - 5*m**2 + 5*m. Let d(i) = -5*i**3 + 4*i**2 - 4*i. Determine -4*d(x) - 3*l(x).\nAnswer: 8*x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-5))\/((-2)\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64935 is divided by 21642.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5924 (base 14) in base 13?\nAnswer: -70a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 172 - -121?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378*u - 4027 = 8069. Calculate the remainder when 31229 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*y**3 + y + 20*y**4 + 85*y**3)*(3*y + 0*y + 3*y)*(2 - 3 - 3)*(-1 - 1 + 7 + 0 - 2 + 0 + (-6 + 3 + 2)*(6 - 2 - 2) + 1 - 3 + 4).\nAnswer: -1440*y**5 - 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*r**2*s*t**2 + 2*b*r**2*t**3 - 70299*b*r*s*t**3 + 4100*b*r*t**3 + 3*b*r*t**2 + 2*b*r*t wrt s?\nAnswer: b*r**2*t**2 - 70299*b*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-54)\/(-21) + 4\/(-7). Solve -l*w - w = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 3*d**2 - 2*d - 1. Let u be p(-3). Suppose -u*z = -90 - 40. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-20)\/36)\/((10\/10)\/1).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1714978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 97 = -5*k, -4*i + 0*k = -3*k - 57. Let n = i - 13. Suppose q + n*h - 1 = 18, 2*q = 3*h - 1. Solve 0 = 2*f + q*s - 10, -4*f + 18 = 2*s - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/3, -684, 93, 45 in descending order.\nAnswer: 93, 45, 0.4, 1\/3, -684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(19) + -3 + sqrt(1216))**2 + (sqrt(19) + 3 + 3)**2)*-3.\nAnswer: -14427 + 378*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 4148150*d**2 - 2150895626886*d - 2150891478738.\nAnswer: -2*(d + 1)*(d + 1037037)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1331) - 6*(sqrt(1331) + sqrt(1331)*2))**2 + 2 + sqrt(275)*-1 + sqrt(11) + 3.\nAnswer: -4*sqrt(11) + 1538641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 41 = 8*q + 8*r, 5*q = -r + 23. Which is smaller: -2\/3245 or q?\nAnswer: -2\/3245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5913646 by -4.\nAnswer: 2956823\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 plus -0.0246?\nAnswer: 0.1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(11))**2 + 0 + sqrt(99) - (sqrt(44)\/(-1*sqrt(4)) - -2*sqrt(275)).\nAnswer: -6*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/10800*32*1*2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66.9 * -7.\nAnswer: -468.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:56 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 744887?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 889964?\nAnswer: 8009676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 26 = -o - 32, -3*o + 13 = -3*c - 11 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 40004 - 928*f + 80012 + 928*f - 40008.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -203010111 (base 4) to base 12\nAnswer: -6b159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25020 or 24144?\nAnswer: 24144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 = 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 354*d**4 + 272.\nAnswer: 1416*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, 1\/4, -0.201, 1, -5?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 25 + 93 = 0. What is the greatest common factor of 51 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/2))**34 assuming f is positive.\nAnswer: f**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 - 670\/7. What is the closest to 0.3 in y, 0, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -424?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/450 and 1186\/(-1365) + (-267)\/(-1157).\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 8*y - 4. Let g be i(-8). Let x be 1 + 0 - g - 1. Solve 0 = x*z + 3 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:52 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 307600430 + 60915.2\nAnswer: 307661345.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggeeegeegeeegeegee. Give prob of sequence ee.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 467603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*z + 32, 2*p - 16 = 3*z - 2*z. Suppose -136 = -3*d - 31. Let n = d + -25. Calculate the least common multiple of n and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 13*s + 11. Let z be q(13). Find the second derivative of -2*h**3 + 6*h - 11*h + z*h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 34 + 10 = 0. Suppose 4*u + 2 = p. Let n be (15 - u) + 1\/1. Solve 0 = -q - 0*q - 3*f + 3, 0 = -3*q + 3*f - n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -615*p**3 + 212*p**2 - 4398*p - 7575*p - 2568*p - 110*p**2 - 110*p**2 wrt p.\nAnswer: -3690*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 - 91. Suppose 0 = i - 4*i + h + 70, -3*i + 3*h + q = 0. Let p = i + -7. What is the smallest common multiple of p and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 + 0\/(9\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 100 = -3*o. Let m be (o\/(-25))\/((-2)\/(-5)). Let v be (-4)\/8 + 5\/m. Solve -3*l = -v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 7*g + 14. Determine i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 316 - 184. What is the highest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s - 14. Let v be w(3). Let q be ((-17)\/(-20) - (-21)\/v)*-2. Let r = -1 - -1. Which is the second biggest value? (a) r (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10403568 to the nearest integer?\nAnswer: 3225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.53 and 0.1488?\nAnswer: -0.525264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 124\/3. Which is the nearest to 0.1? (a) -5 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -60*w + 14. What is the units digit of a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 31*v + 74. Let l(x) = -70*x - 149. Give 9*i(u) + 4*l(u).\nAnswer: -u + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28622 + 28622 - w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) -16 (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 8*n - 4. Let v be i(-7). Which is the closest to -1? (a) 0.3 (b) -6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 13630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3\/2, -1534, -0.3 in decreasing order.\nAnswer: 7, -0.3, -3\/2, -1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -282*s**3 - s**2 + 234*s - 4. Let q(l) = -845*l**3 - 4*l**2 + 702*l - 14. Let h(p) = -2*q(p) + 7*r(p). Find the second derivative of h(x) wrt x.\nAnswer: -1704*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80921.965553 - 80922. What is v rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - k**2 + k - 1. Let n be 7\/(-35) + 2\/10. Suppose -3*w + 5*w - 2 = n. Determine v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most 2051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -10327 at most -10335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/40089448 and -35\/88?\nAnswer: 440983928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 = -3*c, 4*c + 5 = -5*v - 7. What is the third derivative of 0*z**5 + z**2 + z**c - z**5 - z**2 wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20171*b - 6*b**3 - 20128*b + 4*b**3.\nAnswer: -2*b**3 + 43*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/68534434 and 121\/2220.\nAnswer: 2056033020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-1)\/(-22)) - -1. Let k = 0 + r. Suppose y + k = 2*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 18*l - 30. Let t be v(-16). Sort 5, -2, -8, t.\nAnswer: -8, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzwxzgwwxx. What is prob of picking 1 z and 1 p?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - g**2 - 4*g - 2. Suppose 3*d - 20 = 8*d, 5*d + 36 = 4*l. Let x be o(l). Does 4 divide (-2)\/(-3*4\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/3)*a*a*a**(-1\/29) assuming a is positive.\nAnswer: a**(26\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 20200110020220221?\nAnswer: 20200110020220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001001000101111101 (base 2) in base 16?\nAnswer: -c917d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2657 + -2661. Let v = -200\/793 + 6\/61. What is the nearest to 4\/17 in u, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3878 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1326038?\nAnswer: 1\/1326038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 177.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v + 34. Let b(a) = -5*a + 51. Let x(r) = -4*b(r) + 6*j(r). Let f(h) = -h**2. What is f(x(i))?\nAnswer: -1600*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, l: 1, j: 4}. What is prob of sequence jy?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 225067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268484.5 millimeters to nanometers.\nAnswer: 268484500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38803771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 14284 = -a, -3*a = -0*l - l + 3584. Suppose -1020 = -8*p + l. List the prime factors of p.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - 4*-4*sqrt(78) - sqrt(78))\/sqrt(6) - ((3*sqrt(1573))**2 + 4).\nAnswer: -14161 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s - 10863 = -112*s + 25*s for s.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:47 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26883\/121 smaller than 222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5026284 by 558476.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**2 - 5*c + 11. What is the tens digit of p(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8960, -17994, -27080, -36206, -45360, -54530, -63704?\n\"Answer: 2*a**3 - 38*a**2 - 8934*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5765919851 to the power of 1\/4, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(396) + sqrt(396)*-4 + sqrt(396))*4 + 0 + sqrt(396) + -5 - ((-1 + sqrt(396))*-6 - (5 + (sqrt(396) + 2 - sqrt(396))))))**2.\nAnswer: 48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*y + 231 - 651 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 3. Let w be l(4). Suppose 20 + 5 = 4*j + o, -2*j = o - w. Suppose -j*t + 24 = -26. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -p - 7, 4*b + 77 = 4*p + 69 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 6*z - 45. Let g(j) = -2*j + 8. What is the remainder when z is divided by g(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 2\/5 (c) -3 (d) 1 (e) 47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/5, 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53529?\nAnswer: 3, 7, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 56 (b) 3 (c) -0.058 (d) -0.054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 1\/9*i**3 - 8 + 1\/3*i - 1\/3*i**2. Suppose v(f) = 0. What is f?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 + 114. Let v(p) = -p**2 - 8*p + 8. Let k(g) = -2*g**2 - 16*g + 16. Let s(a) = 3*k(a) - 7*v(a). Give s(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -3\/8 (c) -11 (d) -234\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 6*j - 10*j - 148, -3*m - 3*j = -399. What is the greatest common factor of m and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968*h = -250*h - 13398 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3277*w - 1268206. Calculate g(-387).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t, 0 = z - 6*t + t + 17. Let c = -7 - z. What is the remainder when 29 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-292)\/(-16) + (6\/(-15))\/((-88)\/165)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1169560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 300 - 202. Let f = p - 18. Suppose 4*b = -5*d + 54, 0*b - 17 = -2*d + 3*b. Calculate the greatest common factor of f and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 86. Let c(r) = -2*r**2. What is c(s(l))?\nAnswer: -2*l**4 + 344*l**2 - 14792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*b + 312405, 5*g - 20320 + 254628 = 3*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379834 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6108 (b) -0.4 (c) 2\/9 (d) -0.3 (e) -1\/10 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202595239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2205 and 4493349.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 450.5026 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(32))\/sqrt(2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 228504629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 13. Let z be (3 - 1) + (p - -3). Let m(c) = c**2 + 5*c - 3. What is m(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 35834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-228)\/(-36) + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13897228 + 0.\nAnswer: -13897228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19085936 and 35504?\nAnswer: 5072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9711 + -9710.999358. Round u to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:39 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156940967.\nAnswer: 156940967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5 + 5*h**4 - 2*h**3 - 10*h**2 + h + 5 = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65472 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from eupeurerupueusu?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ssqao?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l + 26*l + 33*l + 39*l - 205*l.\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/10 + 59\/5 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - 7. Let s = 41 + v. Let m = -12.6 + 9.6. Sort -0.1, s, 10, m in ascending order.\nAnswer: m, -0.1, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k - 68*k**2 + 66*k**2 - 3 + 3*k**3 - 8*k. What is the remainder when a(4) is divided by 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142768 is divided by 10181?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*((h*(h**(-1)*h*h)\/h)\/h*h*h)\/h*h)\/(h\/h**(2\/3))*h\/(h*h**6)*h*h**6 assuming h is positive.\nAnswer: h**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105778 + 186107. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4648*w + 33722. Determine v(-8).\nAnswer: -3462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 4*p - 2. What is y(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 9660*m + 77248.\nAnswer: (m - 19312)*(m - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {h: 3, k: 11}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/6 - 34013*c**2\/6 + 144619024*c\/3 - 144602018\/3.\nAnswer: (c - 17006)**2*(c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*b**2 + 0 - 4\/5*b**3 + 0*b.\nAnswer: -4*b**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(9\/(-1566)*(-2)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122655 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-22)*6531\/(-4665)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-119)*(-1)\/(2 + -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 42 = 46. Suppose 14*n - 1074 = -304. Calculate the greatest common divisor of u and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -11*x**2 + x. Let l be f(1). Let d = -4 - l. Suppose -w - d = -2*w. Calculate the highest common factor of 18 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4\/3 (b) 281 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1722*o**4 + 5*o**3 + 49*o**2 + 24756*o + 60 wrt o?\nAnswer: -20664*o**2 + 30*o + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.03, 1\/3, 0?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - i**2 - 9 + 5 + 2*i + 0*i to the form a + o*i + b*i**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 278, 20 in decreasing order.\nAnswer: 278, 20, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-17 - -5)) + 37 + 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 20, -25*i + 55*i - 3*n = 31*i + 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 + -137. Solve -4*r + 6 + a = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92927, 185845, 278761, 371675?\n\"Answer: -u**2 + 92921*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -3 (b) -0.4 (c) -253 (d) -13036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d*k*l**3 + 667*d*k*l**2 - d*k*l - 2*d*k + 6*d*l**3 + 4*d*l**2 + 7*k*l**3 + 121*k*l**2 - 2*k*l + 25005*l**3 wrt l.\nAnswer: -96*d*k + 36*d + 42*k + 150030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -18\/19, -4\/3 in decreasing order.\nAnswer: -1\/5, -18\/19, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -39897 in ascending order.\nAnswer: -39897, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124616 is divided by 2124603?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/5 and -87\/19565054.\nAnswer: 97825270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 49. Suppose 12 = 4*v, -5*x - 4*v = -19 - g. Suppose 2*s = -o + 7*s + 76, 0 = 4*s + 8. Calculate the greatest common divisor of o and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*u + 400, -2*z = -3*z - 2*u + 92. Let m = z + -71. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 190139, 190143, 190147, 190151, 190155?\n\"Answer: 4*v + 190135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3037.299 to zero decimal places.\nAnswer: 3037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74144239*a**3*g - 33*a**3 - 95102 with respect to g.\nAnswer: 74144239*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 7. Let t = -12.2 + 13.2. Suppose -2*s = 2*s. What is the nearest to t in k, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-5*r + 4*r + 5*r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 6*p**2 - 9*p + 5. What are the prime factors of z(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6) + (-4921)\/(-798)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 - 23*q + 11. Let f be w(-5). Let g be 0\/f + 10 + -6. Which is smaller: g or 12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3972 + -3952. Solve 0 = -11*z - r - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -13.6. Let i = z + -1.4. Suppose -g - 7*n = -3*n + 6, 3*g - 3*n = 12. Which is the nearest to -1? (a) i (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 2:02 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -120*99\/(-165)*842\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*t + 2*n = 171*t + 11, -t + 37 = 9*n. Solve 5*r + t = -d, 4 = -r - 3*d + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g + 0*g**2 - 12 - g**2 + 5 - 2*g**3 + 4. Let x be k(-2). Suppose -3*a + 21 = -x. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.0268 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 6*h**2 + 3*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1103 = -3*z - 1010. What is the remainder when 355 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 77644*g**3 - 155285*g**2 + 77642*g.\nAnswer: -g*(g - 77642)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, n: 14}. Give prob of picking 2 n.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 3, i: 1, j: 1, l: 3, p: 2}. Give prob of sequence pc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 229*f + 422. Calculate j(111).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79125?\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -451*r**2 - 13017*r - 10867. What is w(-28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/3, -0.4, 198, 8\/523?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 68. Let l be g(-20). Solve -10*y = -6*y - l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*l - 20*l + 440. Let h(g) = 80*g**3 + 55*g**2 + 55*g + 55. Let b(j) = -3*j**3 - 2*j**2 - 2*j - 2. What is l*b(p) - 2*h(p)?\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 + -113. Let a = 1628 - 571. Let u = a + r. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156552.193 rounded to the nearest 1000?\nAnswer: 157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**3 + 1. Let o be j(-2). Suppose -18*p = -17*p + 2. Let k be 22\/o*(-15)\/p. Solve -i - k = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -12*u + 41. Let q be k(3). Solve -q + 12 = -3*f - s, 3*s = -12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -47*d - 45. Let i = -294 + 285. List the prime factors of h(i).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(79352\/(-1680) - -47)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 7}. What is prob of sequence nnp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 134186*r + 2607. Is m(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:53 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 160150 (base 8) to base 9\nAnswer: 86721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 0 (c) -205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*d + 2173 - 685 = 0, 3*d = -5*h + 1859. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 3*v + 38. Calculate the remainder when r(-8) is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/126*35\/(-5)*5*(-7)\/(-35).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -57, -65, -77, -93, -113?\n\"Answer: -2*f**2 + 2*f - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 5*j**4 + 11 + j + 6*j**2 - j**3 - 4*j**2 + 6*j**4 in the form a*j**2 + m*j**4 + c + p*j + d*j**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*l**2 - 254510718 + 254510718 - 374*l**2 + 193*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 156. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 7*v**3 - 8*v**3 + 0*v**3 + 3 - v**3 + 3*v**2. Suppose -5*i = 33 - 48. Determine h(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6242 (base 9) to base 11\nAnswer: 3489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -6*v - 43 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (4 - (17 - 7) - -35) - -3\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.9584 + 7.3584. Let a be 4 - (1 - (-3)\/(-3)). Sort a, s, 0, 39 in descending order.\nAnswer: 39, a, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 10. Let o be c(8). Suppose 0 = -i - o*m - 0*m + 2, -5*m = -5*i + 25. Suppose -g + i + 8 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53786, -102594, -151400, -200204, -249006?\nAnswer: -297806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/7)\/((m\/(m*m\/(m*m*m\/(m\/(m\/m**(-1\/18)))*m)))\/m))\/((m*(m\/(m*m**(-22)))\/m)\/m**(-37)) assuming m is positive.\nAnswer: m**(-7711\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -149, -160, -171, -182?\n\"Answer: -11*v - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194*n**6 + 2*n**4 + 369*n**2?\nAnswer: -23280*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30938 is divided by 121?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**29)**(10\/11) assuming s is positive.\nAnswer: s**(290\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 1. Let z = 44.94 - 44.84. What is the closest to 0.5 in z, -4\/9, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5027 + 2?\nAnswer: -5025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26637 (base 8) to base 2.\nAnswer: 10110110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 2. Let p(m) = -9 + 5 - 2 - 1 + 4. Let x = -7 + 5. Let b = -6 + 3. Give b*t(y) + x*p(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 2*j - 473. What is the tens digit of 1\/(-1 + j\/304)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5596450 and 21\/137?\nAnswer: 5596450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 1, 4*i - 5*j + 3 = -0*j. Let u be ((-24)\/8)\/(1\/i). Solve -y = y + u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/37, -1\/6, 31, 1\/5, -2\/3, 2\/21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.2171, 0.4, -1\/6, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-2 + 8) - (116 - 148).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -513 in -848, 0.4, -2\/5, 1\/4, -1\/6?\nAnswer: -848","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -10*u - 44. Let i be 2 - (-96)\/u - 4\/22. Factor -6*n + 4*n**5 + 4*n**4 + 14*n**i + 8*n**2 + 26*n**3 - 1 + 2*n**2 - 3.\nAnswer: 2*(n + 1)**3*(n + 2)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*i + 22. Suppose -b = -4*a + 8 + 14, 14 = -2*b + 2*a. Let c = i + b. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*3\/12)\/((-3)\/(-6)). Let i be 8615 + (3 + y - (1 - -4)). Let b = i - 6091. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 6:54 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, -3\/7, -121, 2\/3, 1\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327660 - 109254 = 8091*y for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1635224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cliz when four letters picked without replacement from gzzczcriziilriicrzgr.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -56.27014.\nAnswer: 112.54028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-6))\/((-2229)\/7430)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.1, 0.4, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 576, 3 in decreasing order.\nAnswer: 576, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 193546 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11675 is divided by 247?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*579.\nAnswer: -34161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-7) + 66\/42 and 3\/(-6) + (-118)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -3341?\nAnswer: 3336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 0*p + 158 = -97*p. Let i(w) = -1. Let n(s) = -3*s**2 - 4*s - 5. Let c(k) = -6*i(k) + n(k). Let a(z) = -z**2 - 2*z. What is p*c(f) + 5*a(f)?\nAnswer: f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.215 - 26.215. Which is bigger: 201.51 or h?\nAnswer: 201.51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 12*s - 489. Let z be b(29). Let k(c) = -531*c + 189. Let q(v) = 76*v - 27. Let o(i) = -4*k(i) - 27*q(i). What are the prime factors of o(z)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8631242 minutes in days?\nAnswer: 0.00129383625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5162 - -3532. What is the highest common divisor of 69 and q?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3480*h - 347663 = -a - 3483*h, h - 4 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6984 + -2722. What are the prime factors of c?\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8930)\/(-57) - -39 - (-2)\/(-3). What is the biggest value in -2, a, 0.02, -4\/7, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*n**2 - 10*n**2 + 9*n**2)*(-n - n + n)*(1 - 4 + 4).\nAnswer: 29*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 117 - 7*48\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -554402 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6.02. Let s = -0.27 - -1.27. Is y not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7123*w - 58. Let r(g) = 1187*g + 10. Determine -6*k(y) - 35*r(y).\nAnswer: 1193*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.91 + -16.86. What is the third biggest value in p, 4, -1, -48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(2*sqrt(1216))**2*3 - (-4*(-3 + sqrt(76) + -1 + sqrt(76) - (2 + (sqrt(76) - -1*sqrt(76)))))**2.\nAnswer: -73541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-7)\/(-14)). Suppose 11 = 4*h - v. What is the remainder when 7 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by -16590.\nAnswer: 58\/8295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaabsdwyw. What is prob of sequence sby?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**3 - 5*y**2 + 2457*y + 173535?\nAnswer: -6*y**2 - 10*y + 2457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 14. Suppose -3*f + 2*f + 3*z - 23 = 0, 3*z = -5*f - 43. Let i be p(f). Solve -2*c - 17 = -5*n + 2*c, i*c - 26 = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 - 38*l - 15. Determine d(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24383 - -24382.90065. What is w rounded to three dps?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 23. Let s be n(-5). Is 7\/(-3)*12\/s*-13318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 843728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2201?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 670443795 and 0.0087935.\nAnswer: 670443795.0087935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(931) - 3*(sqrt(931) + 1))**2 - sqrt(931)).\nAnswer: 77*sqrt(19) + 3729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72*y**3 - 2364*y**2 + 595651 wrt y.\nAnswer: 216*y**2 - 4728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/41 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25026158 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*z - 5*z - 91*z**2 + 178*z**2 - 22*z**6 - 89*z**2 wrt z?\nAnswer: -2640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 38*i**2 - 16*i - 9. Let m be g(8). Suppose 5*d = -12*f + 7*f + m, 0 = -5*d + 10. What are the prime factors of f?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -37\/48 (b) 5 (c) 3\/2 (d) -0.1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/8 + 230898585*q\/4 + 53314156555002225\/8 = 0.\nAnswer: -230898585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193049 is divided by 3064.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(931) + 1*sqrt(931))**2 + 2)*2 - (sqrt(931) + (-1 + sqrt(931))*4 - (-3*(sqrt(931) + sqrt(931) + -1 + sqrt(931)) - sqrt(931))**2)) + 1.\nAnswer: -455*sqrt(19) + 100561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 11 (b) 2\/87 (c) -1\/4 (d) 0.8 (e) -3 (f) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 4*p + 1. What is j(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 11 = -u + 7, 5*f - u = 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 w, and 1 k when four letters picked without replacement from wwvwwwswwsswwvswksw?\nAnswer: 275\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9170 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 23 = 3*i, w + i = -i + 12. Suppose -3*r = -4*d - w - 7, -2*d + 3*r = 9. Factor d*t - 1\/3*t**2 + 1\/3.\nAnswer: -(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21744274 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-342)\/(-15))\/((-2)\/(-5)). What is the remainder when 45 is divided by r\/21 + 16\/56?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*v - 94879 = 0, 32536 = 3*z - v - 24409. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -17 - (9 + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057322 is divided by 1171.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**5\/60 - t**4\/3 + 7*t**3\/6 + 3*t**2. Let w = -18 - -11. Calculate the remainder when 53 is divided by m(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - i**2 - i**2 - 2*i + 4*i.\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/6 + 4619*w**3\/2 - 546059*w**2\/2 + 46079827*w\/6 + 25559549 = 0.\nAnswer: -3, 61, 13738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 13*y**2 - y + 7. Let u be o(13). Is 40 - u\/(-1 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55835, 0.04, -2\/13 in decreasing order.\nAnswer: 55835, 0.04, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -14390.2036 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*r - 5*t = -29, -5*t - 3 = -14*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/4 + 522633*h**2\/2 - 2090541*h\/4 + 261318 = 0. What is h?\nAnswer: -348424, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -32*t + 17. Let m(d) = -11*d + 6. Let s(r) = 6*h(r) - 17*m(r). Let b(w) = -w. Give s(b(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**6\/6 - 37*z**4\/4 + 11*z**3 + z + 115. What is the third derivative of p(l) wrt l?\nAnswer: 60*l**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 27, 11 in decreasing order.\nAnswer: 27, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10203*x**4 + 824*x + 1 wrt x.\nAnswer: 122436*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c - 375 = -205. Let v = -20 + 20.36. Let z = v - 0.06. What is the nearest to 0.2 in z, -4, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 254 = -21. What is the greatest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -592*v + 554*v - 76 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -397 - -592. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 21*d - 8. Calculate the least common multiple of d + (-6)\/4 - (-95)\/38 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1320 + -1323 - ((-114)\/29 + 1)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 divided by -1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -64.893. Let s = k - 67.107. Let j = -67.36 - s. Round j to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 584640 and 128064.\nAnswer: 13446720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 22131.\nAnswer: -110655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 minutes before 5:10 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*d + 5*d - d)*(2 - 4 + 0)*(19 - 11 + 9) - 2*d + d + 0*d)*(18 - 107 - 66).\nAnswer: 5425*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5\/4 - 2757*j**4\/2 + 621825*j**3 - 81038982*j**2 - 508918320*j = 0.\nAnswer: -6, 0, 302, 1240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6880, -13526, -20174, -26824, -33476, -40130, -46786?\nAnswer: -53444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 52786*w**2 + 9*w**3 + 52786*w**2 - 12 to the form v*w**2 + s + u*w**3 + j*w and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let q(u) = -u - 5. Let a be q(-10). Suppose -a*d + 10*d = 30. Let i(c) = 2*c**2 + d*c**2 - 3*c**2. Calculate k(i(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 361260478*s**4 - 496382925*s**2.\nAnswer: 8670251472*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1, 4\/173, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 57670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -400310234 (base 5) in base 4?\nAnswer: -11333323121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 + 3*t - 2. Let q be u(3). Is (2 - -53) + 4\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 65 = -4*r, 0 = 6*o + o - 35. Suppose 3*q = -2*q + 490. Calculate the remainder when q is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 11*d + 63 + 132 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by -358.\nAnswer: -115\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/21)\/(1\/(-7)). Let l(b) = -4*b**2 + g*b**2 - 10*b + 0 - 8. Let d be l(8). Calculate the greatest common divisor of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.36402 decades to months.\nAnswer: 5443.6824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 583 and 154.\nAnswer: 8162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 5*k**4\/4 - k**3\/3 - 178*k**2 - 674*k. What is the first derivative of w(v) wrt v?\nAnswer: 30*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*1144\/(-78)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31109308, -31109302, -31109294, -31109284, -31109272, -31109258?\n\"Answer: p**2 + 3*p - 31109312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 65287519, 4, 3 in increasing order.\nAnswer: -5, 3, 4, 65287519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5))**(1\/2) assuming p is positive.\nAnswer: p**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/140*(-6)\/(3\/(735\/28)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 2*w**2 - 2*w - 7. Let u be j(-4). Let k = 28 + u. Suppose -2*v = 2*v. Put -4, k, v in descending order.\nAnswer: v, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*t**3 + 37*t**3 - t**4 + 1077 + 1214 - 57*t**3 to z*t**2 + k + n*t**3 + w*t**4 + b*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 45 (b) 0.3 (c) 2\/5 (d) 0.1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 34909, -94, -7 in descending order.\nAnswer: 34909, 0.3, -7, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 493 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 9 = -9*l + 5*m, -2*m - 9 = -3*l. Let j(q) = -22*q**3 - 6*q - 8. Let n(g) = 7*g**3 + 2*g + 3. Calculate l*j(s) + 8*n(s).\nAnswer: -10*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -864?\nAnswer: -1\/864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -35\/188 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - 96c75?\nAnswer: -96c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94144*g*w**3 - 61447*g*w**2 wrt w?\nAnswer: -564864*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13421711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 38776 times 0.16\nAnswer: 6204.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*l + 5*q = 25, -4*q = -l - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591, -1110, -1547, -1902?\nAnswer: -2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 3*c + 2*c)*(-4*c**3 + 9*c**3 - 10*c**3) + 3*c**4 - 3*c**4 + c**4 as w*c**2 + i*c**4 + b*c**3 + d + l*c and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**5\/8 + 6*y**4 - 243*y**3\/2 - 1077*y**2\/4 + 969*y\/8 + 1053\/4 = 0.\nAnswer: -27, -2, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-18) - 4\/24. Suppose -w = -l + 8. Suppose 15 + 3 = 2*p. What is the greatest common factor of l and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01233 take away 590.6774651?\nAnswer: -590.6897951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -101239412661 from 0.08502.\nAnswer: 101239412661.08502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 448, 259, -162, -905, -2060, -3717?\n\"Answer: -15*r**3 - 26*r**2 - 6*r + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h. Let j be (19 + -4)\/(-3) - -4. Calculate s(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o + 7*o = 36*o - 125 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**5\/120 + 5*j**4\/12 + j**3\/3 + 2*j**2. Let x(t) be the first derivative of f(t). Let q = 5834 - 5834. Determine x(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6964*d + 24208.\nAnswer: 6964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -629 + 625. Is c greater than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15204*t**3 + 15808*t**3 - 10 + 10.\nAnswer: 604*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/18*(-2)\/9*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -14.89. Let n = -1.89 - l. What is the biggest value in 2, -1\/4, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 11 - -14 - (6 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(112) - (sqrt(112) - (sqrt(112) + (sqrt(112) - (sqrt(112) + 4 - sqrt(112))))))*2 - (sqrt(112) + 1 + sqrt(112))*-3)*-2 + 3)**2.\nAnswer: -134907 + 6240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 7*t + t + (-2 + 5 - 1)*(2*t + 0*t - t) - 2 + 2 + t - 2*t - 3*t + 3*t + 477 - 477 - 6*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11447876*d**4 + 76*d**2 - 1488*d + 7 wrt d?\nAnswer: 274749024*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 + 2141 - 1071 - 1070 + 36*k**2 + k.\nAnswer: 24*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**2. Let k(a) = 451*a**2 - 1. Give k(w(p)).\nAnswer: 54571*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 4. Let u be (1 - (-10)\/(-4))*2. Let h be j(u). Is 1 - h*3*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1198 - -1204. Solve z + 19 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 8 + 3 + 1 + 51*k + (-12*k + 31*k + 54*k)*(6 - 2 - 2).\nAnswer: 197*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797411503.\nAnswer: 29, 6113, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5148*n**2. Let d(y) = -2*y**2. Calculate d(z(p)).\nAnswer: -53003808*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2688167 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-6))\/(-4) - (-133)\/105. Which is the third smallest value? (a) -1\/4 (b) q (c) 0.14 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -1\/8 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 96 (b) -4125 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**8\/6720 + v**7\/252 + 11*v**6\/720 + v**5\/24 - 7*v**4\/4 + v. Let f(p) be the third derivative of r(p). Determine f(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 139?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/4*(-2)\/4*4. Let z be (-3 - -6)*-1 - (0 - l). Is -18 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4044488.\nAnswer: 2, 7, 72223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.804651g to tonnes.\nAnswer: 0.000004804651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3\/4, -1\/4, -2, -694, 3 in descending order.\nAnswer: 3, 3\/4, 2\/5, -1\/4, -2, -694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 2:38 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 27. Suppose 2*a + 3*a = 195. Calculate the highest common factor of k and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1\/6*-6*36\/16.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -6 - (-2 + -5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 5, 5\/11, 2?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6557 - -6523. Is -6.8 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 19*r - 80. Suppose -13*f - 4*s = -12*f - 16, 5*s = f - 7. Let l be p(f). Solve -3*v - v - l*j + 20 = 0, -14 = -v - 4*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4 - (-3)\/(6\/31). Solve 22*i = 26*i + c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-6))\/(6\/27). Let k be (2\/(-8))\/(q\/(-16)). Let o = 7 + -7.4. Which is the closest to k? (a) -0.3 (b) -1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {n: 3, e: 2, a: 10, i: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 3*q + 1. Let p(v) = 226*v**2 + 15*v + 5. Calculate -p(y) + 5*s(y).\nAnswer: -231*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244*l - 1404*l - 119*l to u*l + g and give u.\nAnswer: -1279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 87 = -23. Let b(m) = -25*m**2 + 2*m - 7*m + s*m**2. Let p(g) = -g. Determine p(b(y)).\nAnswer: 3*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1799.765 - 8201.\nAnswer: -6401.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*f**3 - 207*f**2 + 1811*f - 249348907.\nAnswer: -282*f**2 - 414*f + 1811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4783*f - 4780*f - 20 = -2*g, -5*g - 2*f = -28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + u - 3, -4*u - 3 = 1. Let v = 8 - 11. Put v, x, -4 in descending order.\nAnswer: x, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.26 + 2.76. Which is the closest to -9? (a) r (b) -1\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzqu when four letters picked without replacement from uuqzwzzwz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26182\/117 + 2\/9.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*t)*(-t + 0 + 0) + 5*t**2 + 4*t - 4*t + 3*t**2 + 4 - 4.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62112336, 62112335, 62112334?\n\"Answer: -f + 62112337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5789 - 9991815\/1726. Let h = 3469\/29342 + i. Let h*q**3 - 16\/17 + 24\/17*q - 12\/17*q**2 = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -122, -128, -116, -80, -14?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10997 - 10997. Let r be (1\/(3*5))\/((-15)\/(-50)). Find t, given that 4\/9*t - 2\/3*t**2 + j + r*t**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:40 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 + 129. Let j be (-36)\/q*(-4)\/9. Suppose -4*b + 3*w + 206 = 0, -j*b - 60 = -3*b + 5*w. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362121 and 8607?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -73537\/6 < -12255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14547402 by 2.\nAnswer: -7273701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:46 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 0 - (8 - 76 - -62)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 502 - 502.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -24. Solve 0*r - 8 = -2*r - 2*g, 2*r - g + t = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203694 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 216097 in 4, -4, 1, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1578*n + 656*n + 2920*n + 341*n)*(-3 - 2*n**3 + 3) to y + c*n**2 + d*n**3 + u*n + w*n**4 and give w.\nAnswer: -10990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1*13\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6187, 12373, 18559?\nAnswer: 24745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {q: 2, y: 17}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = d + 7, -d - 45*h = -41*h + 39. Sort 21, 2\/3, d in descending order.\nAnswer: 21, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 3*u = -19*o - 50 - 173, 6 = -o + 2*u for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 1 w when three letters picked without replacement from {p: 1, j: 3, w: 1, e: 1, f: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.16556 + 0.03444. What is the nearest to -1 in -12\/5, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367799 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 1985 - 245. Suppose -b = -4*f + 3*j, 6*f - 580 = 2*f - 4*j. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122132 (base 4) in base 14?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 5, -2\/3, 2\/3 in descending order.\nAnswer: 50, 5, 2\/3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - a = -2*g + 47, 5*g - 58 = a. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -29*u + 32*u. Calculate the remainder when 71 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 12*p + 540. Let l be (24\/p)\/((-4)\/(-6))*5. Sort -6, l, -1.\nAnswer: -6, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6552534211.\nAnswer: 103, 7699, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89039973*i + 406791994.\nAnswer: -89039973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*x**3 + 8*x**2 + 5*x**3 + 3*x**3 - 2*x**3 wrt x?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3946492.\nAnswer: 2, 11, 257, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 736184951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 261893 minus -3?\nAnswer: 261896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**3\/3 + 9*o**2\/2 + 89*o - 105. Find the first derivative of k(b) wrt b.\nAnswer: 2*b + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**3 + 14*x**2 + 20*x. Let i(r) = 7*r**3 - 7*r - 5. Let u(h) = h**3 + h**2 - 1. Let s(a) = i(a) - 5*u(a). Calculate 11*s(y) + 4*w(y).\nAnswer: 2*y**3 + y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39587 or 1434?\nAnswer: 1434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 0)\/(20\/(-184)). Let y = -18 - l. Solve -2\/5*k**2 + y + 2\/5*k - 2\/5*k**3 = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597728 is divided by 745.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*2*-3 - sqrt(297)) + sqrt(297))\/(sqrt(3) + -5*(sqrt(3) + sqrt(9)\/sqrt(3)) + (sqrt(192)\/sqrt(4) - sqrt(3))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2052 and 41\/190836.\nAnswer: 190836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 37*a**9\/504 - 19*a**5\/12 - 99*a**2. Find the third derivative of k(j) wrt j.\nAnswer: 4440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2135 (b) -4 (c) 1\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -n - 4*l, 30 = 2*n + 3*l. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5749 + 12554. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tntrtryytootin. Give prob of sequence no.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(30\/(-2)) - (-59)\/354?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-49)*(-77)\/(-1254))\/(11\/(-66))?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 617.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48\/11, -3, 0 in increasing order.\nAnswer: -48\/11, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -v + 2. Let o be ((-3)\/(-4))\/((-9)\/v). Let d = -1.7 + -0.3. What is the nearest to o in -2\/7, -2\/11, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -439.0926 - -0.0926. Let k = w - -439.0181. Round k to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9669 - 58151\/6. Let s = 3 + w. What is the common denominator of s and 65\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 6*x**2 - 3*x + 4. Let w be o(-6). Let p(l) = 2*l - 3. Suppose 0 = -80*i - 139 + 619. Let h(f) = -8*f + 11. Determine i*h(s) + w*p(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {v: 2, q: 7, z: 1}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 311 - 34. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34, 1, -0.2, 0?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/8)*l**(1\/4)*l**6\/l**5)**(-37\/4) assuming l is positive.\nAnswer: l**(-777\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 46*z + 272. Let x be p(7). Sort 78, x, 2.\nAnswer: x, 2, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 (base 7) to base 6\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*o - 11. Let h(g) = -g**2 - 7*g + 11. Let d be h(-8). Suppose -5 - d = -4*j. Solve -s = -b + o, b + s + 2 = -j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4597 - -4614. Let d(i) = -68*i - 17. Let k(s) = 23*s + 6. Calculate b*k(w) + 6*d(w).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 8 = 2*f, -2*f = i - 1 + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22202210010201 (base 3) to base 11\nAnswer: -26a3637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/193, -0.037, -0.4, 0, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:03 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h**3 - 3*h**3 + 4*h**3)*(h - 3*h + h)*(-23*h - 20*h + 12*h).\nAnswer: -372*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 218\/545 - 8\/(-30)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/3)\/j**(-6)*(j*j**2*j)**(3\/2) assuming j is positive.\nAnswer: j**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-946)\/(-2365)*(-15)\/(-2). Let f(y) = -y - 8. Let h be f(-5). Let l = 6 - 1. Which is the closest to q? (a) h (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from arrahhderhhyry?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6714530 (base 9) to base 13.\nAnswer: -996024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3827578660.\nAnswer: 2, 5, 227, 843079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 divided by 18693.\nAnswer: -26\/2077","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 31032021223?\nAnswer: 31032021231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 730456057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1076 - -7441. Is 122 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 42925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g**2 + 6*g + 5. Determine s(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374 = -198*f - 3542 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34358 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 first derivative of -36*p**3*y**4 + 39351*p**3 + 168*y**4 wrt y?\nAnswer: -144*p**3*y**3 + 672*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w = -4*w. Let y be (50\/3)\/((-2)\/(-3)). Let m be 2 + 1 - 85\/y. Which is the nearest to w? (a) m (b) -6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 - (3 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5.2, -0.8, -12, -33 in increasing order.\nAnswer: -33, -12, -0.8, 2, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u + u + (5*u - u - 3*u)*(-4 + 0 + 6))*(u + 3*u**2 - u).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 - (-4 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9))\/(136\/(-24) - -5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-16) + 68\/16. Find y such that t*y + 4*y**2 + 0*y - 5*y = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 708.231 - 709. Let o = -0.031 + y. Let m = 0.5 - -0.5. Sort m, -0.5, o in ascending order.\nAnswer: o, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(4\/3)\/s)\/s)\/s*(s*s\/(s**(-4)\/s*s*s))\/s)**(2\/59) assuming s is positive.\nAnswer: s**(20\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 7:28 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 - 1. Let t be l(-3). Let y be 5 - 3 - 1 - t. What is the third derivative of m**2 + m**6 + 3*m**6 - 2*m**6 + y*m**6 wrt m?\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 - 35*u + 184 - 964.\nAnswer: -35*u - 1299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13255431?\nAnswer: 3, 7, 90173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 14. Suppose -b + 627 = 2*b - 2*h, b + 2*h - 209 = n. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3. Let l(c) be the second derivative of 0*c**3 + 0 + 0*c**2 + 1\/12*c**4 - 14*c + 1\/20*c**5. Let q(j) = -d(j) - 2*l(j). Factor q(n).\nAnswer: -n**2*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 + u**3 + 5*u**3)*(4 + 0 - 2) - 3*u**3 - 3*u**3 + 3*u**3 + (-5*u + 5*u - 2*u**3)*(-3 - 3 + 4) + u**3 - 3*u + 3*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 150.93 - 151. Which is the closest to 2? (a) -1 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -758, -756, -752, -746, -738, -728?\n\"Answer: m**2 - m - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**3 - 19*b**3 - 21*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-108)\/14 + 40\/140. Are l and 8 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 8*a - 5. Let x be b(5). Let h(y) = y**3 + 6*y**2 - 4. Let p be h(-4). Let g = p + x. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123381878 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 235\nAnswer: 1\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 41. Let t(j) = -12*j**2 + 4*j**2 + f*j**2 + 9*j**2. Let m(a) = -66*a. What is m(t(c))?\nAnswer: -66*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -228, -863, -1914, -3381?\n\"Answer: -208*i**2 - 11*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, -9, -0.2389, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1103, 1097, 1071, 1025?\n\"Answer: -10*n**2 + 24*n + 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 33*y - 36. Let u be 12 + -18 + -27 + -1. Let d be w(u). What is the second smallest value in 5, 2, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 44*d**2 + 56*d**2 + 3980*d - 3980*d.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**3 + q + 1. Let l be i(-1). Suppose 0 = -4*c - h + 6*h, 0 = l*c - 2*h. Factor -2\/13*f**2 + 2\/13*f + c.\nAnswer: -2*f*(f - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/12 - 2*f**2 - 35. Let h(t) = 4*t. Calculate h(s(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/11 + 266*h**2\/11 - 18*h\/11 - 2394\/11.\nAnswer: 2*(h - 3)*(h + 3)*(h + 133)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let u(p) = -23*p + 1. Determine -3*n(i) - u(i).\nAnswer: 20*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/85855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -716c + -9?\nAnswer: -7177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/5 + 6*y**3 + 6*y**2\/5 - 86*y\/5 - 12 = 0. Calculate y.\nAnswer: -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 divided by -69?\nAnswer: 266\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, y: 3}. What is prob of picking 1 y and 3 p?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72601 + -51186. Which is smaller: 21416 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*u = -2718, -4*h = -0*u - 3*u - 2173. Suppose 0 = r - h + 75. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 9\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 - 2*i**2 + 0*i**2. Let h(a) = a**2 + a. Let s(g) = 7*g**2 + 5*g. Let v(m) = -5*h(m) + s(m). Calculate v(d(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + c = 48, -c = -2*f + 2*c + 56. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + (-8)\/(-80) + -11)\/((-22)\/5).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95668 + -21047001\/220. What is the common denominator of 127\/60 and z?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = 4956. Let n be q\/(-24) + 2\/(-8). Find the second derivative of 103 + 7*j - 6*j**4 - n wrt j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 i when three letters picked without replacement from miiiiiiiimm.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 241833*f**3 + 197644 wrt f?\nAnswer: 725499*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012731327 divided by -51?\nAnswer: 19857477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 90. Let z(w) be the first derivative of w**2\/2 - 3225. What is n(z(j))?\nAnswer: -j**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7539, -6108, -3705, -330?\nAnswer: 4017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54601\/14 - -3903. Calculate the common denominator of 77\/10 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Let r = 0 + a. Let w = r + -3.1. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 - 2*o**2)*(0 + 0 + 1) + 1 - 1 + o**2 + (-5*o + 4*o + 2*o)*(8*o + 4*o - 28*o).\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*q = 0, 4*f - q + 0*q = 6. Suppose -14*v + 31 = -25. Suppose 0 = 63*w - 65*w + v. Solve -4 = -f*x - w*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -4 (c) 1\/7 (d) -5 (e) -39 (f) 8\/33 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ardarraadaratfrffrr. Give prob of picking 1 d and 1 t.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42874305.\nAnswer: 3, 5, 37, 67, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {p: 3, q: 1, w: 4, a: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156722121.\nAnswer: 3, 37, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 343384, 343477, 343570, 343663, 343756?\n\"Answer: 93*v + 343291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 81*l**4 + 2*l**3 + 369 wrt l.\nAnswer: 324*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -311113004 (base 5) in base 7?\nAnswer: -13535623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 269a - -1?\nAnswer: 269b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h + 11\/2 - 21\/2*h**2 = 0.\nAnswer: -11\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0*q + q - 3*q. Suppose x - 1546 = 724. Let k(l) = x - l - 2270. What is g(k(z))?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 705 and 1710?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75241 is divided by 2351.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11863 - -283.88137. Which is greater: l or -22?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*l - 7*l + 8, 5*l - 6 = 3*k. Let t = -7 - -10. Let m(y) = t + l - 5*y - 4. What is m(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 947 + -943. Solve -3*s - 15 = -b*a, 2*a = -s - 3*a - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (40\/(-25))\/(3\/(60\/(-1))) and 28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104050 to the nearest one thousand.\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-1 + 1 - ((sqrt(832) - sqrt(832)*1)*-1)**2 - (5*sqrt(78)*1)\/(sqrt(6) - (sqrt(6) - sqrt(96)*1))) + 3.\nAnswer: -37*sqrt(13)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 98 = 4*d - 7*d, 0 = -3*n - 2*d + 160. Suppose -2*t + n = m + 2, 0 = 4*t - 3*m - 80. Calculate the greatest common divisor of t and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Suppose 5*v + 3*s = 7, 0 = -2*v + 15*s - 19*s. Let y(p) = -p**2 - 41*p + 39 - v*p**2 + 41*p. Determine y(x(g)).\nAnswer: -12*g**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033971.\nAnswer: 3, 523, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4\/7 - 15430*h**3\/7 + 76518504*h**2\/7 - 106313578272*h\/7 - 11116975192704 = 0. Calculate h.\nAnswer: -518, 5316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/4 - 20695*s**2\/2 + 428034577*s\/4 + 1285594203 = 0. What is s?\nAnswer: -12, 20701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 + 9089*v**2 - 19974584*v + 12902453620 = 0. Calculate v.\nAnswer: 1442, 6205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 39*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f**2 + 428*f + 108 = 0.\nAnswer: -1\/4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475118132.\nAnswer: 2, 3257, 36469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285625312.\nAnswer: 2, 7, 182159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28969050 divided by -30?\nAnswer: 965635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 497*198\/63261*(-1)\/((-4)\/54)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let s(c) = 25*c**2 - 2*c - 2. Give 3*i(n) - s(n).\nAnswer: -25*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 29 + -19 + -18 + 9 + 0 + 21\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8816493\/2764 + -12759\/4. Is 1 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679 - 1771 + 84*y**2 + 4*y**3 - 3038 = 0.\nAnswer: -14, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 2*y + 5. Suppose -4*r + 3*z = -114, -4*z = -5*r + r + 112. Calculate the remainder when p(7) is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 3. Let u be (-110)\/(-15) - 8\/(-12). Is f(u) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-24.5\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21645441.\nAnswer: 3, 801683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let q = 2 + 0. Let b(m) = m**2 + 4*m**2 - m**q. Give b(y(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 154*p + 27. Let j(q) = -39578*q - 6930. Determine 3*j(a) + 770*v(a).\nAnswer: -154*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8394.403um in millimeters?\nAnswer: 8.394403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3\/2 (b) 3\/14 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13039 and 0.1026.\nAnswer: 13039.1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1021*l**2 + 5*l - 3723. Let i(a) = -a**2 + a + 12. Let w(z) = -5*i(z) + m(z). What is the first derivative of w(f) wrt f?\nAnswer: -2032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**4 + h**3 - h**2 + h. Let p(y) = y**5 - 14*y**4 + 14*y**3 - 12*y**2 + 11*y. Let n = -110 - -88. Let c(f) = n*u(f) + 2*p(f). Factor c(b).\nAnswer: 2*b**2*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657655 a multiple of 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - -119) + -49 - 52?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-36))\/(u*u\/(u*((u**(9\/4)*u)\/u*u*u)\/u))*u**(-1\/26)*u**(-35) assuming u is positive.\nAnswer: u**(-3525\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0079875469 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 384, 575, 766, 957, 1148?\nAnswer: 1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnwnbnwwwywwn. Give prob of picking 3 n and 1 w.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 5*m**2 - 5 - 10 - 10 in the form b*m + t + z*m**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 16*d**2 - 11*d + 81. Let n be t(17). Let k be 1\/(-6 + n\/(-65)). Calculate the greatest common divisor of 351 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -11344768\nAnswer: -1\/5672384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348938960*t**6 - 173329072*t**2 wrt t?\nAnswer: -41872675200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 plus -4572643?\nAnswer: -4573213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/21*(6\/4)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 193184 divided by -1\nAnswer: -193184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*h - 19 - 10. Let g be ((-36)\/(-15))\/(h - 21\/15). Put g, -2, 2 in decreasing order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52400908 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**3 + 2805*u**2 - 16431*u - 757. What is i(249)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 4496*b**2 + 4468*b - 26952.\nAnswer: 4*(b - 2)*(b + 3)*(b + 1123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2772 and 4*9*11*(-4 + 6 + 5)?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/2 + 459*x**4 + 12166*x**3 + 99789*x**2 + 518837*x\/2 + 171336 = 0.\nAnswer: -11, -3, -1, 944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206856 and 1170?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*l + 18. Let x be 14\/(-14)*(l - 1). Let i(c) = -c**3 - 4*c**2 - 5*c. What are the prime factors of i(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -169, -338, -507, -676?\n\"Answer: -169*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649618 plus 2?\nAnswer: 1649620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1625*b**2*k**2 - 3373*b**2 with respect to k.\nAnswer: -3250*b**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2060*u - 2075*u - 65600 = -4155*u. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*r, -4*r - 44 = -48. What is the hundreds digit of c\/(-9 + 10)*(-418)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 34?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from xzzzpxxxzxxzxz?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960965 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 22*c + 120. What is p(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13800 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 15 = -3*y, y + 0*u = -2*u + 5. Put y, -1, -3, -2 in descending order.\nAnswer: y, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-16)*15\/(-45)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 60*g**3 + 116*g**2 + 828*g + 648 = 0. What is g?\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 4 (c) -5\/17 (d) -0.5 (e) -14\/11 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 28*b**2 - 28*b - 25. Let l be d(-27). Suppose 4*c = 6 - l. Solve 5*z + 4 = -4*x - c, 2*z - x = 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/7*(-222)\/((-9768)\/77).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-4))\/(75\/1050)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 307 - 92. What is the highest common factor of p and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 16*m + 47. Let f be l(-3). Which is the nearest to 2? (a) -3 (b) 29 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/7)\/p*p*(p*p*p**(-1\/8)*p)\/p assuming p is positive.\nAnswer: p**(121\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -17, -41, -75, -119?\n\"Answer: -5*t**2 + t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 5*v + 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.61 + -0.59. Let u = 191 - 194. Is z at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -257906 + 118314633.3.\nAnswer: 118056727.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 107021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 21 - (-1 + -4 - -1) - 17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(2) + sqrt(6)\/sqrt(3)*2) + 3 - ((sqrt(119) + sqrt(119) + 2*sqrt(119))*-3)\/(sqrt(14)\/sqrt(2)*6)) + 2.\nAnswer: 5 + 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1\/(w*w*(w\/(w**(4\/7)\/w))\/w))\/(w\/((w**(1\/8)*w)\/w)*w\/(w**(-1\/7)\/w)))**(3\/7) assuming w is positive.\nAnswer: w**(-747\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 529, 801, 1083, 1381, 1701, 2049, 2431?\n\"Answer: g**3 - g**2 + 268*g + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/5 + 8712*i**4\/5 - 8706*i**3\/5 - 3484*i**2 = 0.\nAnswer: -1, 0, 2, 4355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**5 - 3198*m**4 - 3146*m**3 + 38328*m**2 = 0. Calculate m.\nAnswer: -1597\/2, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/(5\/710). Let d = -50 + 84. Suppose -5*s + d + q = 0. What is the remainder when s is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 484*y**5 + 792*y**4 + 148*y**3 - 144*y**2 + 16*y.\nAnswer: 4*y*(y + 1)**2*(11*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + 10 - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2046, -2303, -2560, -2817, -3074?\nAnswer: -3331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*j, -3*j - 11 = -3*f + 1. Suppose 0 = z + f*o + 7, o = z + 2*z + 5. List the prime factors of 3\/z*30\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 9*v - 10. Let c be t(3). Let q(y) = -y**2 + 14*y + 54. Let f be q(c). Solve 5*i = f*n + 10, -4*n = 4*i - 48 + 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169825?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9303290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 4, -925\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -834 by 6.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by 10.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -1c?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011010 + -101100010?\nAnswer: 110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 390777587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2. Suppose -4*x + 5 = -3. Let j(c) = -7*c - x*c + 6*c + 2*c. Give a(j(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.187 + -77.813. Let o = u + 78.00000017. What is o rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053420256 rounded to 6 decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-12)\/64*-2. What is the nearest to 0 in 4, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.443 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32a057 - -52?\nAnswer: 32a0a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182086 is divided by 9102.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130277111*d**2*p**2 + 16055*d*p**2 - 147*d + 9*p**2 wrt d.\nAnswer: -260554222*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1934.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5572.\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 8. Which is the nearest to -0.2? (a) 5 (b) s (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, -4 in increasing order.\nAnswer: -10, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44090 - 38190. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 875 = 31*a - 334. Let d(u) = 14*u**2 + 8*u - 35. Calculate the remainder when d(3) is divided by a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.2516332 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.051 and 1764256.\nAnswer: 1764255.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 46 and 486 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -46.826. Let l = q - 0.174. Which is the smallest value? (a) 4 (b) 2\/11 (c) 56 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39189 - 333868 = 11000*y - 8679 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u + 12. Let o be v(-8). What is the units digit of ((-24)\/5)\/(8\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 574*j**5 - 134*j**4 - 31*j**3 - 19*j**2 - j - 31041 wrt j.\nAnswer: 34440*j**2 - 3216*j - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/15 and 83\/435.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.3644191 months to decades.\nAnswer: 0.0197034925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 15*s - 20. Suppose 4 + 2 = -q + 4*u, -u - 2 = -2*q. Let i be x(q). Solve 14 - i = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 412.9 - 413. Sort p, 3\/4, 2\/11, -29, 2\/7.\nAnswer: -29, p, 2\/11, 2\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 34*r - 22. What is b(17)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 70 - 538*p**3 + 46*p**3 + 12*p**3.\nAnswer: -480*p**3 + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10838 minus 2041717094?\nAnswer: -2041727932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*j - 2*a, 3 + 3 = -4*j - 5*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3 + 5 - k + 2*k - 1. Let h(r) = 1. Calculate 5*h(b) - 5*j(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6087600 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314 + 329. Let r = -2 - -8. What is the highest common factor of x and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 69?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33.699490566 and 0.02.\nAnswer: 33.719490566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -4. Suppose 0*a = 15*a - 3*a. Suppose 0 = -0*s - 2*s - a*s. Solve -i - 5*z = -n*i + 5, s = i + 4*z - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 44*v - 267 - 42*v - 623 - 2*v**3.\nAnswer: -2*v**3 + 2*v - 875","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*u + 2*u - 8, -16 = 4*y + 4*u. Let r = -4 - 1. Which is the closest to y? (a) 0.5 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/5)*u)\/(u\/u**(2\/11)))**(-32) assuming u is positive.\nAnswer: u**(-2432\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from cddnlwk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u**4 + 6 + 2*u**2 - 16 - 3 - 6*u**3 + 3 + u + 5 in the form h*u**3 + i*u + o*u**4 + t + p*u**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 3. Let z be i(6). Suppose z*k = -25 + 142. Find the third derivative of -31*h**4 - 31*h**2 - k - 39 + 78 wrt h.\nAnswer: -744*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35 and 50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190*f*i**3 - f*i - 8*i**4 + i**2 + 42 wrt i?\nAnswer: -1140*f - 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1936*r**2 + 708*r**2 - 157*r**2.\nAnswer: 2487*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - -2 - 3 - -1052 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.84 + -19.94. Let l = -1 - -0.8. What is the closest to l in 1\/6, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 375*b**2 - 2760*b - 5360.\nAnswer: -5*(b + 4)**2*(b + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7d1232 (base 15) to base 16\nAnswer: 5b3616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k*o*s - 2*k*s - 11*k - 2817*o*s + 18200*o - 4*s wrt s.\nAnswer: -k*o - 2*k - 2817*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 44081.056 to the nearest 100.\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (49*u + 82 - 82)*(-3*u - 10*u - 11*u)*(3*u**2 - 2*u**2 - 2*u**2) in the form q*u**4 + s*u + t*u**2 + b*u**3 + x and give q.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -0.02 (c) -20399 (d) -2 (e) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 12*g**2 + 12*g + 13. Calculate v(-10).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2690*g - 1359 wrt g.\nAnswer: 2690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 4:03 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*n + 5, 0*j + 5 = 4*j - 3*n. What is the least common multiple of (112\/(2688\/2340))\/(5\/2) and j?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -40. Let a = s + -10. What is the second derivative of -x**3 + 0 + 4*x**a + 5*x + 0 wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11107638 - -11107634.00000085. Let x = w + 4. Round x to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 6*w - 33 = 0, 491 = -5*r - 2*w + 520 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 533 - 2035?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301 + 406. Let w be (-2)\/5 - (-112)\/j. Let r = -2.06 + 0.06. Which is the third biggest value? (a) w (b) -2\/7 (c) 0.2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2159982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -47. Suppose -3*h - 5*f + 45 = -4*f, -61 = -4*h - f. Suppose 7*p = h*p - 162. Solve -4*i + o - p = 0, -3*i + a*o + 0 - 7 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.95 - -17. Let l = s + -0.5. Let g = l + -0.05. Which is the nearest to -1\/2? (a) g (b) -3\/5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 - 12 = 0. Solve 18 = -b + 4*r, 10*b - 5*r + 15 = k*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 59 + 52*i + 26.\nAnswer: 52*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahq when three letters picked without replacement from {g: 2, a: 8, h: 4, q: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 971113590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 406864.\nAnswer: 813728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n + 1 - n + n**2 + 5*n + n. Determine x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 3*z**2 - 2*z - 4. Let c be j(-3). Let o be (-4)\/((-1)\/2*c). Let k(x) = x**2 - 5*x + 6. Calculate k(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 + -140. Let w be (-319)\/(-88) - (1 - (-33)\/(-24)). Solve -4*c = 4*d - g, 5*d - w*c = -15 + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 + 190. Let y(z) = -2*z + 26. Let c be y(12). Suppose 5*n + c*u = 275, 13*u + 86 = 2*n + 9*u. What is the remainder when g is divided by n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8143.291 centuries?\nAnswer: 814.3291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -30*o - 59. Let m be k(-2). Solve 2*w - 9 - m = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -8. Let x = 2 - -3. What is the second derivative of 9*y - x*y**2 - g*y - 1 + 1 wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least -23.3897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 14*v**2 - 4*v + 5. Let z be h(1). Let d(l) = -l**3 + 11*l**2 + 17*l + 51. Let y be d(z). Round y to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**2 + 11*z + 0*z**2 - 5*z - 25*z**2 - 12*z**2 + 2 as w + p*z**2 + r*z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 2102*n + 9 - 4 - 4.\nAnswer: -2102*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-192 - -184) + -15 + -9 + 3\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 8851 and 8852 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 360123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5022 + -5020. Let o = -589 - -834. Calculate the lowest common multiple of r and o.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/7)\/(n*n\/(n**(-4)*n*n))*n\/n**(-3)*n**0 assuming n is positive.\nAnswer: n**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, -0.09, 0.003?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 13*h**2 - h + 22. What is the remainder when 22 is divided by k(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77\/4 - -401\/20. Let m be (-1 - -4)\/3*-3. Let f = -166 + 827\/5. Put f, b, m in descending order.\nAnswer: b, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/238149 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 91 (c) -55 (d) -29 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 69*n = 41*n - 304 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238193 and 4069?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.72874 millilitres to litres.\nAnswer: 0.00572874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*j + 119*j - 6*r + 4 = 0, 4 = 2*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -1\/40*o**5 + 1\/40*o**7 - 1\/48*o**6 + 1\/24*o**3 - 3\/448*o**8 + 1\/32*o**4 + 4*o**2 + 0*o + 0. Factor g(w).\nAnswer: -(w - 1)**3*(3*w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 4*y - 182. Suppose 24*n + 256 = 40*n. Calculate the remainder when 177 is divided by r(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -2, -4, 24, -1 in increasing order.\nAnswer: -4, -2, -1, 24, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 270024791?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) -17\/4 (c) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 20, -3*u - 5*q - 13 + 2 = 0. Factor 39*y**2 - 2*y**3 - 16*y**u - 36*y - 18 + 30 + 3*y**4.\nAnswer: 3*(y - 2)**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 56*i + 1238. Determine u(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 2955283685.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(-2 + sqrt(11)).\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -46. Let c(j) = j**3 + 10*j**2 + 8*j + 12. Is 12 a factor of c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*o + 30 = 5*n - 116*o, 17 = 4*n + 5*o. Let d(m) be the first derivative of -1\/5*m**4 - n + 8\/15*m**3 + 1\/5*m - 1\/2*m**2. Factor d(r).\nAnswer: -(r - 1)*(2*r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74696 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 12, v: 3, m: 3}. What is prob of sequence yey?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887231119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 9 + 6*z + (4 - 5 + 3)*(-z + 2 - 2) + 4*z - 2*z - 3*z - z + 3*z - z + 2*z + 0*z - z + 15*z + 4*z - 6*z to the form w*z + b and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x - 4. Let p be h(4). What is the least common multiple of p - (2 + -2 + 0) and 8\/(-12) - 740\/(-30)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3972 is divided by (4\/(-28))\/(-1)*959?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.05 (c) -0.1 (d) 16\/7 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2 + 3*p**3 + 5*p**2 + 2*p**2 = 0 for p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 15 + 33. Let o = 2.9 + -3. Which is the nearest to o? (a) 0.3 (b) 6\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x - 128. Let d be s(-11). Solve -2 = 2*t - d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*j + 36*b*q**2 - 14*b*q - 74*b - 15*j*q**2 - j*q wrt q.\nAnswer: 72*b - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/(-14))\/(((-5)\/115)\/(222\/(-851)))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:24 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5 - 29 = 0. Suppose -z + m = 2*z. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 45*w**2 + 225*w + 10. What is c(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2448 - 2432. Solve 15*u + j = 11*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Suppose -2*c = -b*c + 782. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4017 is divided by 3512.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2296 + 2799269.\nAnswer: 2799270.2296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4890 = -80*o + 86*o. Let s be (3 - o\/(-270))*(0 - 4). What is the closest to s in 5, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*t**5 - 37*t**5 + 28*t**5)*(-2 + 3 - 3).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*g + 125 = 4*f, 2*f = -4*g + 82. Solve -u + 4*w = 4*u - f, 5*w + 25 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p + 3. Let q be o(-4). Let y(m) = -m**2 - 9*m. Let k be y(q). Suppose -4*d + d + 90 = k. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*g - 175*g = -84*g - 44 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -9, -2*n + 10 = -2*t. Let o be n + 0 + 2 + -5. Calculate the greatest common factor of 77 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 10, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.225208 + -5.\nAnswer: -5.225208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -0.5 (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = -2*u + 5*m, -m = -5*u - 20. Let d(j) = 2*j - 4. Let a be d(4). Put u, -2, a, -1 in decreasing order.\nAnswer: a, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -13*w - 4. Let h(u) = -9*u - 3. Let l = 7 - 12. What is l*z(n) + 7*h(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124501*s - 7616 = -124773*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 257257?\nAnswer: 257267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/464*(-16)\/(-31)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*x + x - 1, 0 = 4*l - 8. Put -1, 19, x in ascending order.\nAnswer: -1, x, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let l be (s - 0)*(-7 + 9). Which is smaller: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1675492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let m(v) = -7*v. Let c(h) = -7*h. Let q(b) = -6*c(b) + 7*m(b). Determine u(q(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhvv. What is prob of picking 2 v and 1 h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99*g*r**2 - 165*r**2 - r wrt g?\nAnswer: -99*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1482\/(-18) - -81)\/(2\/24).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 - 56. Let l be -3 - 34*(-2)\/o. Put l, -1\/2, 8 in decreasing order.\nAnswer: 8, l, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o - 6. Let r(h) = -16*h**2 + 3*h**2 - 5*h**2. Give r(b(l)).\nAnswer: -648*l**2 - 1296*l - 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052 (base 6) in base 8?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*x = 29 - 25, 3*h + 3*x = 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 624 = f. Let v(m) = m**3 + 2*m**2 - 51*m - 11. Let y be v(-8). Calculate the highest common divisor of f and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826831 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 2*a + 2, -2*a + 767 - 759 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21263 - 2.53\nAnswer: -21265.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*k**3*v - 43*k**3 - 7*v - 3 wrt v?\nAnswer: 20*k**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90280311 is divided by 1018?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74175 and 2875.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1873, 2764, 3681, 4624, 5593, 6588?\nAnswer: 7609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134056 + 18*m**4 + m**2 + 2*m - 134055 + 0*m**2 + m**3 to d*m**4 + h*m**3 + r*m**2 + u + k*m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4430939 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.984 - -23. Let p = 20.984 + n. Let u = 82 - 80. Which is the second biggest value? (a) u (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29109*c**3*h*u - c**3*u - 22*c**3 + 9*c*h*u + 15*c*u - 304*c + 5*h*u - 2*u wrt c?\nAnswer: 174654*c*h*u - 6*c*u - 132*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**3 - 6*g**2 + 4. Let q(t) = 13*t**3 - 11*t**2 + 8. Let k(y) = 11*l(y) - 6*q(y). Find the first derivative of k(r) wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81391 or -80819?\nAnswer: -81391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 8. Let c(y) be the third derivative of y**5\/2 + y**4\/4 - 5*y**3\/6 - 3*y**2 + 5*y. Is c(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 220?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41254 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/60 + 5*o**3\/2 - 8*o. Let l(m) be the second derivative of x(m). Let r(j) = -3*j**2. What is r(l(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1975312 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56*20\/(-720))\/(((-8)\/(-18))\/(-4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 55. Calculate the remainder when 98 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 244a512 + 201?\nAnswer: 244a713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1)*1\/(-1). Suppose 3*m + 5*o - l*o - 73 = 0, -3*o + 122 = 5*m. Let w be (m\/(-10))\/(2\/(-56)). What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1326, 4513, 9824, 17259, 26818?\nAnswer: 38501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -672 (base 8) in base 10?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137*t**4*v - 1381*t**3*v**3 + 2*t**2*v**2 + 2*t**2*v + 18*t**2 - 6*t*v**3 - 4*t wrt t?\nAnswer: 3288*t*v - 8286*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 20*n + 136. Determine w(24).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7\/p)\/p*p**(-1\/3)\/p)\/(p**9\/p*p*p\/(p\/(p*((p**(-1\/7)*p)\/p)\/p)*p)) assuming p is positive.\nAnswer: p**(-88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*((-3)\/(-1) - 4). Let o = 1 + w. What is the second derivative of -3*n**2 - 3*n**2 - 4*n + o*n wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 58?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 3*p**2 + 1\/24*p**4 + 0*p - 1\/2*p**3 + 0. Calculate b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 498 (c) -0.01 (d) -3\/46 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 213004004031?\nAnswer: 213004004041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 1. Let u = -0.200033 - w. Round u to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2904 and 660?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1))\/v)**(-29\/2)*v*v**(-2\/5)\/v*v\/(v*v\/v**(6\/5)))\/(v**(-8)*v*(v\/v**11)\/v)**(2\/9) assuming v is positive.\nAnswer: v**(183\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*y + 38980515 = 248588. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*w = -1523 + 5771 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178744241 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -146, -18\/7, 1, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -1. Let g = v + 17. What is the common denominator of 1\/6 and (-6)\/(-4)*(-78)\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008624071136 to five dps.\nAnswer: 0.00862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:46 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97579 - -155882. What are the prime factors of q?\nAnswer: 7, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 67.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) - sqrt(91)\/sqrt(7)) + 3 + 4*sqrt(13).\nAnswer: 3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 4*n**2 + 4*n - 1. Let y be c(-5). Suppose -9 - 16 = 5*g, g = -y*r + 39. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (9 - (2 + 3 + -6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -27981472*u. Let w(g) = 2*g. Determine a(w(j)).\nAnswer: -55962944*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 <= 600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 3, -1\/15, 0.4, -2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9)\/w)**(-20))**(-33\/4)*w\/(w**(1\/3)\/w)*w*w*w**(-3\/4)*(w**(2\/5))**(-4\/25) assuming w is positive.\nAnswer: w**(-99407\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/6 + 1)\/(20\/40)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5528148um in millimeters?\nAnswer: 0.0005528148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-274)\/(-4))\/(16\/32). Let b = -141 - v. Is -5\/4 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 137?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -6 (b) 5 (c) 12 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 57, -34 in ascending order.\nAnswer: -34, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130149.\nAnswer: 3, 14461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*v - 12 = 0, 2*z - 3*v + 0 - 12 = 0. Suppose 3*l - 2 - 4 = z. Determine y so that -7*y**l + 0*y + 3*y - 7*y**2 + y = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 4, -5, 2\/5, 0.43, 3\/5?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 355 - 353. Factor 3\/5*k**i + 2\/5*k + 1\/5*k**3 + 0.\nAnswer: k*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 3:57 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*q = 6 + 1, 7 = 5*l + q. Put l, 5, -1 in ascending order.\nAnswer: -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6.8. Let n = -2.3 + o. Let j = -0.0495 + 0.5495. What is the closest to -1\/2 in j, n, 4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -206?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5926 is divided by 5184.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-76)\/28 + 4 + -1. Which is the closest to 2? (a) h (b) 2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.162 + -437?\nAnswer: -437.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 615783 + 1133517 = 0. Round y to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22047*g*i**4 - 36*g*i**2 - 56*g + 2*i**5 wrt i?\nAnswer: 529128*g*i + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9158356 and -1.4.\nAnswer: 12821698.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 + 15260*m**2\/3 + 2988667*m\/3 + 145406686\/3.\nAnswer: -(m - 15454)*(m + 97)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162467563?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q - 57*q = -54 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.78 - -0.28. Let m = 4 - 6. Let o = 2.3 + m. What is the second biggest value in -4, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123048*l**2*p*s**3 - 5*l**2*p*s + 2*l*p*s + 25*l + 29656*p*s**3 wrt l.\nAnswer: 246096*p*s**3 - 10*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000021 (base 4) to base 8.\nAnswer: 50011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -899040 + -4\nAnswer: -899044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (35*(-16)\/40)\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 3 - 6*h - h. Suppose 130 + 59 = 21*b. Suppose -11*j + o = -b*j - 11, -j + 2*o = -4. Let w(k) = 23*k + 8. What is j*w(x) + 17*s(x)?\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 141020*u\/7 - 3242402\/7.\nAnswer: -2*(u - 70487)*(u - 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/((-2)\/(-48)). Suppose 4*p - i = 0, 0*p - 27 = -5*w + p. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -737*y + 4850. What is t(6)?\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/5 - 9248*p\/5 - 18488\/5 = 0. Calculate p.\nAnswer: -4622, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 + -6)\/((-15)\/(-35)). Let q be (1 + -11 - -2)*(-7)\/g. Solve -2*t - j = -5*t - q, 0 = 5*t - 4*j + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1 - i - 2 + 2*i - 1. Let j be l(5). Let a = -2\/43 + -37\/129. Does j = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 10 = -5*b. Suppose -4 - 6 = -b*x. Solve -3 = -n - x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eighty-seven fifths of a second?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 2*t**2 + 2*t + 3. Let z(h) = -2*h**3 - 4*h**2 + 4*h + 6. What is -7*f(m) + 4*z(m)?\nAnswer: -m**3 - 2*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -1, -2\/5, -0.3, -21?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -0.03, -1.\nAnswer: -1, -0.03, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 90. Let f = 32.2 - 57. Let o = i + f. What is the third biggest value in -2\/5, o, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 0.4, -2\/7, -2 in increasing order.\nAnswer: -2, -0.4, -2\/7, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 - s**4 + 4*s**4 + (1 - 4 + 1)*(3*s**4 - 6*s**4 + 13*s**4).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/8 + 11*t**3 - 16*t**2 + 3*t. Suppose -5*r = -b - 145, 2*b = -2*b - 20. What is the remainder when u(5) is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1786 - -1789. Solve 3*p + 4*t = -i, -2*t = p + 6 - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 11. Let j(w) = w**2 - 1. Let l be j(1). Suppose l = -4*y + 1 + a. Solve y*d - 17 = 5*z + 6, -d + 1 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16048\/2652 + (-12)\/234?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5319952348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -12*z + 244. Give f(16).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -15 + 18 - (1 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4413617927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)\/(q*q**5))**12*(q*q**(-8)*q*q*q*((q\/q**(2\/3))\/q)\/q)\/(q*q\/(q*(q*q\/(q*(q**(-4)\/q)\/q)*q)\/q)*q**(-4\/7)*q) assuming q is positive.\nAnswer: q**(-1451\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, -6 in ascending order.\nAnswer: -11, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138853 by 17.\nAnswer: -138853\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272*i**2 + 4*i + 141*i**2 + 142*i**2)*(-4*i + 3*i - 2*i).\nAnswer: -33*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1419 and 192.\nAnswer: 90816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 44, -2\/9, -12, -0.5 in ascending order.\nAnswer: -12, -0.5, -2\/9, 1\/5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22911 = 75*c - 561*c - 605*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -49*o + 63. Suppose 518 = o*m - 5*p - 182, -4*m + 2*p = -1416. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 28 = 5*s, -4*m = -m - 5*s - 4. Let o(t) = 3*t - 9. Let n be o(m). Suppose r = -2*r + 2*x + 9, 4*x - n = -5*r. Round r to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5589.397 millennia to years.\nAnswer: 5589397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) 2 (c) 1\/4 (d) -0.1 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-6) - 1\/(-3). Suppose 0 = -3*p + q + 16, p + 4 = g*p + 2*q. Solve 0 = -n + k - p, n - 4*k + 7 = -6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -233230 to the nearest one thousand.\nAnswer: -233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3*(-90)\/(-6). Let m = w + 26. Calculate the remainder when m is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/((-1)\/(-4)))\/(-1). Let t(y) = 3*y**2 - y - 1. Let x be t(-1). Let i(z) = -x*z + 12*z - 2 + z**2 + k + 5. What is i(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 28*g + 102. Determine s(-16).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19548*q + 12391*q - 34205*q.\nAnswer: -41362*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172158301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019503879 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -145?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 - (-1 + -452)) + (-6)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3 - 4 + 4*p**2 - 4*p + 0*p**2 - 3*p**2. Let n be d(-4). Suppose 2*i = 5*f + n, -i = -5*i - f + 95. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 32*b**2 - 6*b + 3. Let l(m) = 2*m**2 + 3*m - 1. Give -j(o) - 4*l(o).\nAnswer: -2*o**3 + 24*o**2 - 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 349?\nAnswer: 23\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c - 29*c = 42. What is the common denominator of (-82)\/(-24) - 4\/6 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 10) in base 7?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -318, -2\/55, 0.6, 75 in decreasing order.\nAnswer: 75, 0.6, -2\/55, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 88 + -11?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94253, 94289, 94325, 94361, 94397?\n\"Answer: 36*h + 94217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 6. Let b be v(6). Does 13 divide (-2)\/b + 154\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 31*n + 23\/12*n**4 + 0 + 35\/6*n**3 + 0*n**2. What is the second derivative of a(p) wrt p?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.9 (c) -1\/2 (d) 0.38 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 230710 and 14?\nAnswer: 1614970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgqpqkqckqppcc. Give prob of picking 2 q and 2 p.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*t + 32, 3*q + 5*t = 4*q + 14. Suppose -31 = -z - 5*h, z + 1 = 2*h - 3. Let v = z - 1. Is q equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:10 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 + 5*j**4 + 4*j**3 + (4*j - 5*j + 0*j)*(j**3 - 2*j + 2*j) + (0 - 3 + 0)*(0*j**4 + 2*j**4 - 5*j**4).\nAnswer: 13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 5:18 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235214510?\nAnswer: 2, 5, 23521451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117b50c (base 13) to base 14.\nAnswer: -a1248d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 times 2.4?\nAnswer: 0.1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41578083 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 11:59 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34 (b) 5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u**2 - 39*u - 661. What is the units digit of w(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 15*g**2 + 3. Let m be (-12 - (-2 + 4)) + -1. Let f be b(m). Suppose 9 = r - f*u, -2 = -2*r + 5*u + 13. Round r to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 - 61 = 2*p + 2*c, 5*p - c = -471. Do -473\/5 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29144975.\nAnswer: 5, 1165799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -178.3999977 + 178.45. Let v = u + -0.05. Round v to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*l - 67827 = 0, -5*t - 1723*l + 67820 = -1728*l. Does 41 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 12:03 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-6))\/(8 - 4330\/540). Suppose 53*b + q = 55*b. Calculate the remainder when 21 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12747774*c - 12747767*c - 4*o + 55 = 0, 2*o = -c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2\/4 + 21213*z\/4 = 0.\nAnswer: -7071, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 2. Let u be b(-3). Let r be 2\/(-4) + (-34)\/u. Differentiate 2 - 8*j**3 + r - 2 + j**3 with respect to j.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 2*h**3\/9 + 110*h**2 + 18150*h - 373. What is j in t(j) = 0?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + 107?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 36730.9 (c) -2\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35771.\nAnswer: 35771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - a + 1. Let f be x(2). Let r(p) = -4*p - 20. Let z(v) = -v - 6. Let u(b) = 2*r(b) - 7*z(b). Calculate u(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2432)\/1900 - (-8)\/6. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = 2*r - 7*r, 2 = -5*r + 2*k. Is -1 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-147)\/2 - (-1)\/(-2). What is the units digit of 2\/(-5) - y\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52761312 divided by -1097\nAnswer: -48096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1181, -1183, -1185?\nAnswer: -1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1152160 (base 9) to base 16.\nAnswer: 988f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3513 = -107*v + 42*v - v, 5*v + 5*r = -0*r + 290 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3190 - 45*m + 1065 + 1060 + m + 1059 in the form r + y*m and give y.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02181253903 to 5 decimal places.\nAnswer: -0.02181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(15)\/sqrt(80))**2 - sqrt(33)\/(-2*sqrt(1584))) + (-5*sqrt(96))\/((sqrt(512)*3 - sqrt(8)) + sqrt(8)) + -4.\nAnswer: -3*sqrt(3)\/8 + 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.47 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37243.16 decades in millennia?\nAnswer: 372.4316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 553 and 6559.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1232 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-2 + 3)*-2.\nAnswer: -6 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100741 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 b when four letters picked without replacement from yyynnnebbnynynbyn.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76.1 > -596862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42068791 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244241319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 835560.8 litres?\nAnswer: 835560800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 + 69)*(-3)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2\/9, 3, -4\/23, 0.03, -5?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36939 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*y**2 + 271*y**2 + 34*y**2 - 146*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = 8. Let c = 2.982 - -0.018. Let u = -8 + c. Sort d, -2\/19, u.\nAnswer: u, d, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**5\/190 + 7*m**4\/57 - 43*m**3\/57 + 30*m**2\/19 + 315*m - 3. Solve p(x) = 0.\nAnswer: 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -124, -1, 2, -2 in decreasing order.\nAnswer: 4, 2, -1, -2, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6)*30\/2. Let h(s) = 4547*s - 9099. Let v be h(2). Sort 1, 6, n, v in descending order.\nAnswer: 6, n, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 886205238 + 1321167202. Let m = p + -2207372420.00000114. Let q = 20 - m. Round q to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 5\/((-5)\/2). Which is the third smallest value? (a) 3 (b) -12 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 124, 0.4, -0.00547, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14583 is divided by 911.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 4 = -37 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 44 = 3*k, -5*s - 3*k = -0*s - 26. Let t = s + -3. Suppose t*j - 118 = p, -4*p + 96 = 2*j + 28. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, z: 5}. What is prob of sequence nz?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-5*sqrt(171)*-1 - -1*((sqrt(171) - (sqrt(171) + -4)) + sqrt(171))*-2) + -2)**2.\nAnswer: -1380*sqrt(19) + 90559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 64*n - 178*n + 58*n + 6*n**2 + 56*n. Let f(y) = -8*y - 5. Let l(t) = 9*t + 4. Let s(z) = 4*f(z) + 5*l(z). Give s(w(d)).\nAnswer: 78*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2670 and 6.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840915741 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 5*z = -6. Suppose z*h - 14 = -0*h. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1423422041 (base 5) to base 2.\nAnswer: 1110001111010100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*m + 4*m - 18, 3*m + 33 = 3*k. Let z = -7 - m. Solve -5*c - 7*b + 2*b + 35 = z, 10 = 4*c - 2*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 169*g**3 + 6760*g**2 - 8*g - 303. Calculate b(-40).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 14*j + 33. Suppose -4*f = -5*u + 37, -u = 5*f + u + 38. What is the remainder when r(f) is divided by 3\/15 + (-1)\/(10\/(-138))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 5*b**2 + 4. Let z be c(5). Suppose -z*w - w = 5, -2*w = 3*u - 4. What is the common denominator of 61\/12 and 4 - u - 103\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000363 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 1. Let b be o(0). Let n(s) = 6*s**3 - 2*s**2 - 2*s - 1. What is n(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 936 = -104. Suppose -4*q - 4*p + 20 = 0, -107*p + 17 = 4*q - r*p. Suppose -2*w**3 + 6\/7*w**q - 6\/7*w**4 + 0 + 4\/7*w + 10\/7*w**5 = 0. Calculate w.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 20*18\/(-4). Let a = -61 + x. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 13 = -2*a, 0 = -2*w + 4*a + 25 - 7. Calculate the greatest common divisor of w and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1106 and 700.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258919 is divided by 139.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5772344, 11544748, 17317152, 23089556, 28861960?\nAnswer: 34634364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rruereruururuur. What is prob of picking 2 r and 1 e?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 6948*u\/5 + 6034338\/5.\nAnswer: 2*(u - 1737)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 1. Let d be w(3). Let z be (6 - 2)\/(d\/108). Let q = -37 - z. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 - (7 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5 - 18*a**4 - 2*a**3 + 36*a**2 + a - 18 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-253)\/(-966) - 6\/14. Which is the nearest to -1? (a) -2\/19 (b) -0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 338a9694?\nAnswer: -338a9682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16895664 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 25*r**2 - 18*r + 14. Let h(c) = -26*c**2 + 19*c - 15. Let u(t) = 2*h(t) + 3*n(t). Let z(k) be the first derivative of u(k). Is 14 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 5056.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 - -86?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from mmmmtmmmtmt.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6688 - 6684. Which is the third smallest value? (a) -2\/11 (b) 254 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16832 is divided by 185.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36338.0427 - -36338. Put m, 0.3, -6 in descending order.\nAnswer: 0.3, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 75, 64, 51, 36, 19, 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - z - 23, 3*t + 0*z - 2*z = 21. Suppose -t = -0*u - u. Solve -4*g - b - 16 = 3*b, -3*b = -u*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 5*k - 2. Let i be c(5). Let u(z) = 2*z**2 - z - 3. Let h(g) = g**3 + 2*g**2 - 2. What is i*u(x) + 3*h(x)?\nAnswer: 3*x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1824 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2008*-1.26871\nAnswer: 2547.56968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0 - 2 + i + 1. Let s(z) = -6*z - 6*z + 10 + z + z. Let k be (-8)\/12*12*-1. Determine k*m(c) + s(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p + 1. Let h = -11 + 13. Suppose 0*j = -h*j - 2. What is w(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 18*g**2 - 9*g + 25. Determine y(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3291646 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w - w**3 + 6*w**2 + 4*w**2 + w**2 + 883 + w - 885. Calculate d(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1411 at least 581\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12\/4645 - 274019\/13935. Which is the smallest value? (a) x (b) -4 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7202274467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20976*v + 20983*v + 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 - 599*j**2 + 194*j - 1206. Determine c(-200).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -575 + 328. Let t = -245 - s. Which is the closest to 1\/16? (a) t (b) -3\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*x = 707*x + 1895 - 365 + 3540 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 667 - 652. Let k be (180\/(-150))\/((-1)\/(u\/9)). Solve k*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 6*m + 200. Is (m\/1)\/(10\/8705)*7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**3*s**6 + 46517*k**3*s**3 + 25*k**3*s - 25*k**2*s**2 + k + 30*s**2 + 4 wrt s.\nAnswer: -360*k**3*s**3 + 279102*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*z - 22 = 64*z - 4*l, 3*z - 25 = -2*l for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(110)*-5 + (sqrt(110) - (sqrt(110) + (sqrt(110)*-2 + sqrt(110))*-4)))\/(sqrt(1000) + 1*sqrt(1000) + -3*sqrt(250))*3)**2.\nAnswer: -3564\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3088.342 + -3083. Let p = 911.4 + -906. Let j = g - p. What is j rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**11*(z\/(z*(z*z**(-6\/13))\/z))\/z)\/(z**(-21)\/z**(-5\/7)) assuming z is positive.\nAnswer: z**(887\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 2. Let d(r) be the third derivative of -5*r**4\/12 + 5*r**3\/3 - 8*r**2. What is 16*b(x) + 3*d(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 17*a - 64. Determine f(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 2684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 12:52 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from znnz?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by -2*(3 - (-426)\/(-12)).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 84? (a) 2\/11 (b) 4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -165*d + 164*d. Suppose -d*s = -312*s + 2934. What are the prime factors of s?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6 + 4 - 5 - g. Let v(s) = s - 1. Let l(a) = 5*a - 11. Let b(u) = l(u) - 6*v(u). Let x be b(0). What is j(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 1)*1\/(-2)*-7. Suppose m = -2*k - 5*z, -3*k + 2*z + 14 = -k. Solve -k*s = -2*o - 0*s + 26, s = -4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**3 + 902*n**2 = 0.\nAnswer: -451, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.82 - 0.62. Let j be -1 - (1 - 7\/2). Let t = -4.8 - -5. What is the closest to p in 0.5, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12396*d**2 - 3318*d**3 - 2*d**4 - 2769*d + 1272*d**3 - 2090*d**3 - 4130 - 13636*d + 4013*d = 0. Calculate d.\nAnswer: -2065, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1031\/8 + 1035\/8. Let w = -9.6 + 10. Let b = w + 1.6. Sort 3, b, x, 4 in descending order.\nAnswer: 4, 3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -73 (b) 5 (c) -118.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f. Let s(y) = y - 4. Let p be s(5). Let l = f + p. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -10) + (2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + (sqrt(272) - (-2 + sqrt(272))*1))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1071 and 23324?\nAnswer: 209916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3538948526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-5)\/(-124)))\/((-362)\/181)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 24*v**2 + 19*v + 39. Is r(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -425, 2.\nAnswer: -425, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-i + 2*i + 0*i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 1. Suppose 4*s = -4*d - 8, d - 4*d = 5*s. Let x be (-1 - -3) + -8 + 8. Suppose 7 = x*m - v, -s = v - 0. Calculate n(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, -59, -189, -317, -443?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2. Let c(h) = -423052348*h. Give j(c(b)).\nAnswer: -357946578296626208*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 73000000 rounded to the nearest 1000000?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5694*f - 8099716 + 986*f**2 - 495*f**2 - 5690*f - 495*f**2.\nAnswer: -4*(f + 1423)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*c - 450 = 98*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -36. Let u be 1\/2 - 9\/c. Let d be (-2)\/(-3)*(-5)\/(-10). What is the closest to 0 in u, 4\/5, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q - 1029 = -2073 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660244 is divided by 4891?\nAnswer: 4850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**2 + 3*v**2 + 3*v**2. Let i(w) = -4*w**3 - w**2 - w. Let j be i(-1). Let u(c) = c - j - 3*c + 4. Determine r(u(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 7\/(35\/(-10)). Suppose 0 = 7*w - 6*w + h. Sort 1, -5, w in ascending order.\nAnswer: -5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*y - 7 = -6*y, 0 = 5*d + 2*y - 8. Let p be (2 + (-15)\/6)*d. What is the smallest common multiple of p + 3 + 1 - -3 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*o - 102 + 39 = 0, -3*z - 4*o = -205. Let v = -65 + z. Let c(d) = 5 - v - 6*d - 2*d. Calculate c(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 14 + (111 - 114 - (125 + 1))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/24*(-2)\/25. Let l = 2663\/9835 + 21\/1405. Let p = 2 - 2.3. Which is the biggest value? (a) l (b) j (c) 0.06 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 4, p: 1, r: 2, b: 1}. Give prob of picking 1 c and 1 d.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033933 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 11:25 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/63)\/(156\/2106))\/((-21)\/196)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 841 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 912*l + 907*l - 1816*l. Let s(m) = 130*m**2 - 1. Give c(s(f)).\nAnswer: 390*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -917 + 225 = 4*l. Let v = -167 - l. What is the highest common factor of 114 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423890 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = 17*w + 31. Put 1, -18, w, 4 in ascending order.\nAnswer: -18, w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 783*p + p**3 - 4 + 7 - 5*p**2 - 784*p as o*p**3 + z*p + h*p**2 + g and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 43*y**2 - 85*y**2 + 41*y**2. Let a(i) = -5*i**2. What is a(h(j))?\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 44*b**2 - 325 + 16*b - 4*b - 101*b. What is the first derivative of d(l) wrt l?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1494608 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 837 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5241724*t**5 - 25779052*t.\nAnswer: -104834480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 361, 594, 699, 670, 501, 186, -281, -906?\n\"Answer: -k**3 - 58*k**2 + 414*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -5, 37685 in descending order.\nAnswer: 37685, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 7*v**2 - 45 + 34.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 111 = d, -2*q + 12*d = 10*d - 70. Suppose -q = -5*l - 3*i, -10*l + 13*l - 17 = 4*i. Calculate the greatest common factor of l and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606231089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 0.6\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -13 (c) -2\/3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104696621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 281189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00408287927 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.144764 decades to years.\nAnswer: 1.44764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-4\/13)*c))\/(c**36\/c*c)*c*c**(-1\/14)*c\/c**(-3\/4)*c*c assuming c is positive.\nAnswer: c**(-11289\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-8)\/84)\/(90\/(-105)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -42.42. Let g = n + 0.4200002. What is g rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3*o + 22 = 0, 9*s + o + 150 = 249 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 182*t**2 - 153*t - 640. Is w(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -297029.\nAnswer: 2\/297029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -d + 4*l + 7, -5*l = 3*d. Let j(q) = 3*q - 7. Give j(d).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 272237 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 30997*u - 40655*u + 75199*u + 30257*u - 10. Let c be p(-5). What is c rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 3*(sqrt(171) + -1*sqrt(171)))\/(sqrt(324)\/sqrt(4)) - -5*sqrt(76)\/(sqrt(100)*6 - sqrt(4)).\nAnswer: 44*sqrt(19)\/87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(18)\/sqrt(3)) + (sqrt(76) - (0 + sqrt(76))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/3, 7, 5\/2, -10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000099845 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 4604, 1\/5, -0.007?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 46180*s.\nAnswer: -2*s*(s - 161630)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 3.5. Let r = x + 2.8. Let y = -38.93 + 35.93. What is the nearest to 0.1 in y, -1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 995\/10)\/((-1)\/(-4)). Suppose 2*k - 396 = -k + 3*f, 3*k = f + m. What are the prime factors of k?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 + 3*f - 4. Let d(j) = -j**2 - j + 1. Determine 4*a(s) + 14*d(s).\nAnswer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/28 and 137\/1960?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 19*b. Let d(g) be the second derivative of -1\/3*g**3 + 0 + 22*g + 0*g**2. Calculate d(k(r)).\nAnswer: -38*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 224314345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54030613 (base 7) to base 9.\nAnswer: -8574244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/57 at most as big as -1\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from hcvvtthdhhthb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**4\/4 + 7*x**3\/6 + x**2\/2 - 4*x - 11. What is the units digit of k(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/465)\/(3\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -774, -1546, -2318, -3090, -3862, -4634?\n\"Answer: -772*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g**(-12)\/g)\/g)\/g)\/(g**(-1\/3)*g))**48 assuming g is positive.\nAnswer: g**(-704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -23 - 105639\nAnswer: -105662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 6*z - 5. Let s be l(-5). Let y(t) = 0*t + s*t - t**3 - 3 - 2*t**2. What are the prime factors of y(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15820714 is divided by 517.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 59*x - 25. Calculate n(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 728807233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 11208*x**2 - 16*x - 8045. Let a(z) = -11208*z**2 + 18*z + 8069. Let b(v) = -8*a(v) - 9*f(v). Find the first derivative of b(o) wrt o.\nAnswer: -22416*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -425*g**2*k**4 + 10*g**2*k**2 - 4*g*k**4 - 1935*g*k**2 + 2*k wrt k.\nAnswer: -10200*g**2*k - 96*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 291511588 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -457024 divided by 129?\nAnswer: -457024\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2 - 3*r - 3*r)*(-2*r + 3 - 3).\nAnswer: 16*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + 3*o**2 + o**2)*(2 + 0 - 1) - 9*o - 6*o**2 + 9*o - 111*o - 15*o**2 + 224*o - 2 - 112*o.\nAnswer: -22*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1476518967?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 9*l**2 + 8*l + 3. Let m be h(8). Factor -29*o**3 - 33*o**3 - 29*o**m + 93*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 15*c**2 - 2*c + 6. Let i be f(15). Let l = -5 - i. What is the derivative of -x**3 + 80 + l*x**3 - 77 - x**3 wrt x?\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6)**(2\/105) assuming d is positive.\nAnswer: d**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*((sqrt(396) - (sqrt(396)*-2 + -3)) + 3)*-5*4 + -3).\nAnswer: 492 + 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-3\/2)*m)\/(m**4\/m*m*m)*(m*m**(-9))\/(m**(-3\/4)\/m*m) assuming m is positive.\nAnswer: m**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -9.6, 0.01, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 521, 783, 1045, 1307?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/3)\/((-49)\/(-42)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32\/((-114816)\/8385) - 2\/(-23)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 1:17 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -294*l - 159*l + 23 - 2269*l - 23 as a + u*l and give u.\nAnswer: -2722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 1660043612?\nAnswer: -1660043614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Suppose 0 = 2*l - 1 - 5. Let b = l - n. Solve a + 2*a + b*j + 15 = 0, -4*j - 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Suppose -18*r + 17*r + 10 = z. Solve -5*t + 3*t - r = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2*(-2)\/(-20)). Suppose 2*f = -5*q, -f + 2*f = u. Which is the second smallest value? (a) 1 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -21*f. Let o(v) = -17*v + 172. Let u be o(10). Let r(h) be the third derivative of 0 - 1\/24*h**4 - 5*h**u + 0*h + 0*h**3. Give r(t(p)).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 48\/5 of a second?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 64\/3 of a day?\nAnswer: 30720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13996 - 14566.1. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3137.127039 + 6.3.\nAnswer: -3130.827039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + sqrt(1100) + sqrt(11) + sqrt(88)\/(sqrt(16)\/sqrt(2)) + sqrt(11) + sqrt(11)*-2 + 3 + -1*(sqrt(22)\/sqrt(2) - sqrt(11)))**2.\nAnswer: 110*sqrt(11) + 1358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7231007 divided by -4?\nAnswer: 7231007\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 2, -2, 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 5*y - 8. Let f(r) = -r**2 + 4*r - 7. Suppose -3*c - 36 = 3*c. Determine c*f(a) + 5*v(a).\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w**2 + 44*w - 50. Let a(t) = -7*t**2 + 29*t - 33. Let s(h) = 8*a(h) - 5*i(h). Determine s(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7839646 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 + -127. Suppose -g*j - 6*j + 17693 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229 divided by -477\nAnswer: -229\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30982394995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -26*o - 41 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007694273.\nAnswer: 3, 335898091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41808 and 24723.\nAnswer: 5142384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 12) to base 5\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 2*h + 2. Let y(j) = -2*j**2 + 3*j - 2. Let b(q) = q**3 - 7*q**2 - 7*q - 6. Let o be b(8). Suppose 0 = -o*k + 6. Determine k*x(w) + 2*y(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 412*l + 11028. Give g(24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(700)*-2 + (sqrt(2800) - (-2*sqrt(2800) + sqrt(2800))))\/((sqrt(144)\/sqrt(108))\/(2*sqrt(432))))**2.\nAnswer: 3628800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -1116*k**5 - 2224*k**4 - 1100*k**3 + 8*k**2 = 0. Calculate k.\nAnswer: -1, 0, 2\/279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2809 + -56231\/20. Find the common denominator of -75\/16 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (10 + -6 + 18)) + -10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 674*f**2 - 20*f. Let p(m) = 3*m - 19. Determine p(z(v)).\nAnswer: 2022*v**2 - 60*v - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1663157, -3326328, -4989499?\nAnswer: -6652670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 51312 (base 6) to base 2\nAnswer: 1101010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240669 and 363.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i. Suppose p = 4*b - 29, 0 = 2*b + p + 2*p + 3. Let n(k) = -b*k + 6*k - 29*k. Calculate n(g(t)).\nAnswer: 116*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -41*y**4 - 4*y**3 + 388*y + 29*y**4 + 307*y**2 + 152 + 16*y**4 + 17*y**2 + 96*y**3 = 0.\nAnswer: -19, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75554.1675ns in weeks?\nAnswer: 0.00000000012492421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -39 + 494. Let z be (2 - 8)*(-30)\/36*3. Calculate the greatest common factor of f and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 20 = -5*j, -6 = j + i - 4. Let z be j\/(-4)*380\/5. Do 57 and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(432)*-1 - (sqrt(432) + (0 + sqrt(432) + 2 + sqrt(432))**2))*-2.\nAnswer: 240*sqrt(3) + 3459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6145126 to the nearest integer?\nAnswer: 2479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, s: 8, i: 6, e: 1, o: 4}. What is prob of sequence neoo?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 9. Which is greater: h or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 1, s: 4, h: 1, l: 3, x: 1}. What is prob of picking 1 a and 1 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38052 by -6.\nAnswer: 6342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 5, 9 in increasing order.\nAnswer: -14, -4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:28 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 565 + -3?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 + 1709*z + 13456. Calculate p(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11622016565 + -0.2.\nAnswer: 11622016564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 290 - 286. Let n(l) = 191*l**2 + 289*l + 147. Let b(p) = 38*p**2 + 58*p + 29. Let f(k) = o*n(k) - 22*b(k). Factor f(r).\nAnswer: -2*(6*r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -18. Let m = -6 + k. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j = 43*j - 4*g - 83169, -3*g = 2*j - 33240. Does 69 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*c - 2*f - 4, 10 = c + f. Let q be ((-12)\/(-8) - (-39)\/c) + -1. Solve -12*r + q*r = -25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {b: 2, f: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 1587 + 1779 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 71 + d + 12.\nAnswer: d - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 11\/4, -1\/9, 46?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**3 - 52*x + 189*x + 81*x + 2.\nAnswer: -27*x**3 + 218*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 2:23 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 916\/(-4809)*(-2)\/(12\/7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:39 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 3620?\nAnswer: -3624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*u, -3 = -4*g + 3*g - 4*u. Let c(z) = z**3 + 5*z**2 + 3*z - 5. Calculate c(g).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53362 (base 9) to base 16\nAnswer: -89db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qggaqmmkgogo. What is prob of sequence qoqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 404035835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*n = -745*n - 5240 - 957 - 9039 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5038258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjaaffjjf. Give prob of picking 1 a and 1 f.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2*(-4)\/(-248)). Let i = 52 + m. Calculate the highest common factor of 21 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d7742 (base 15) to base 2.\nAnswer: -101100000001111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72c1c (base 15) to base 13.\nAnswer: c97c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g**2 + g + 1216. Let m be x(0). Calculate the greatest common factor of 38 and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116052 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*-3*5\/15. Let l be (o\/15)\/(2\/(-6)). Solve -21 = -4*w - l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**3 - 818*z**2 + 116*z - 101. What is v(-117)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(1\/2))\/g))\/(g\/(g*g**4)))\/(g*g**(-1)*g)**11 assuming g is positive.\nAnswer: g**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/25 (b) -0.5 (c) -11\/4 (d) -12598\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 + 3293776*v**2\/3 - 8783392*v + 158100992\/9.\nAnswer: -2*(v - 4940656)*(v - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1\/4 (c) 5 (d) -0.0046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwweweeewwweewwww. What is prob of sequence ee?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -994 + 994. Let p be -1*((-9)\/(-15) + -1). Which is the biggest value? (a) p (b) -0.6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/17 in -226.05, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151 - 144. Solve 3*h + q*f - 2*f = -27, h - 5*f = 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173333, 688396, 1546835, 2748650, 4293841, 6182408, 8414351?\nAnswer: 10989670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/12? (a) 110 (b) -0.4 (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by -874932.\nAnswer: -55\/874932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or -12483?\nAnswer: -12483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1328*m**3 + 3 - 155*m**3 + 49*m - 51*m.\nAnswer: 1173*m**3 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**5 - 600*p**4 + 13490*p**3 - 56940*p**2 + 75785*p - 31740 = 0.\nAnswer: 1, 3, 23, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b. Let t(r) = -19803*r**2 + 4*r - 2. What is t(w(j))?\nAnswer: -178227*j**2 + 12*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 5 + 1 - 14. Let s be n(-13). Let h(q) = q**3 - 9*q**2 - 9*q - 8. Let m be h(10). Solve 7*y = m*y, 4*o - s*y - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2768 or 7373?\nAnswer: 7373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24055 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2668 * -2\nAnswer: 0.5336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -28573684.61 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezte when four letters picked without replacement from {r: 2, i: 6, e: 1, z: 2, t: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (-18 + -12 + -13))\/2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, 0.1584, 0.\nAnswer: 0, 1\/14, 0.1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3517644\/3905 - 4504\/5. Let n = 6260\/2343 - t. What is m in 4*m**2 + 20\/3*m + n - 4\/3*m**4 - 4\/3*m**3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639374323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -366*n*x**4 - 14*n*x**2 - n*x - 58*n + x**4 - 1028*x**3 - x**2 - 141 wrt x.\nAnswer: -8784*n*x + 24*x - 6168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4796 - -9.246?\nAnswer: 8.7664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052016787 to the power of 1\/3, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5.7, 23, 1\/2, -30 in ascending order.\nAnswer: -30, -5.7, 1\/2, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 110 = 5*s, 51*s = 56*s - 3*c - 86. Solve s*h = 8*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (66\/(-44))\/(1\/10). What is the tens digit of 15\/(-5)*11*k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4\/3*m**3 + 14\/3*m**2 - 14\/3*m + 4\/3 = 0?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1674 - 4542 = -14*w. What is the lowest common multiple of w and 6?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150256*z**2 + 37596*z + 8.\nAnswer: 4*(4*z + 1)*(9391*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*a, -12*a + 7*a - 5365 = -5*t. List the prime factors of t.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*g**3 + 438*g**2 - 42*g**3 - 2 + 12*g - 43*g + 20*g + 2*g**4 + 12*g to the form h*g**3 + n + y*g**2 + l*g**4 + x*g and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 0 + 0*p**3 + 275*p + 61\/2*p**2 - 9\/4*p**4. What is the first derivative of i(f) wrt f?\nAnswer: -54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12021 + 304044?\nAnswer: 242023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**2 - 3*y**2 + 7*y**5 + 6*y**2 wrt y.\nAnswer: 420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:52 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15245)\/(-9147)*42*-2?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -31*f**2 - 37*f + 661. What is h(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -49, -61, -77, -97?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-884)\/15912)\/((-7)\/(63\/16)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 24 = -3*t. Let y(x) = -20*x**3 + 17*x + 6. Let j(q) = 7*q**3 - 6*q - 2. Suppose 4*h + p = -0*h - 73, -4*p = h + 37. What is h*j(d) + t*y(d)?\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let k(q) = 2*q + 0*q**2 + 7*q + q**2 - 5*q. Let s be k(-4). Let g(b) = s*b + b + 5*b. Calculate g(l(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/14318 (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 u when three letters picked without replacement from {t: 1, u: 4, k: 5, y: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 not equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11*o**2 + 5. Let b(t) = -7*t**2 - t - 3. Determine -5*b(u) - 3*g(u).\nAnswer: 2*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 2942*z**2 - 2*z**3 + 2942*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d + 28*d - 4*h = 13, h - 2 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 19*b**2 - 91*b - 660. Determine l(-21).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17755\/636 - (29 - 1)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1024 and 3510752?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6)\/(-2) + (-16)\/(-6). Let i be (1 - (-23)\/7) + b\/(-7). Does 9 divide i\/10*21*(-5)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 327, 5.\nAnswer: -3, 5, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j**2 - 449*j + 1301*j - 427*j - 425*j + 54*j**2.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*f - 9*f - 3 + 1.\nAnswer: 29*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 616 - 384 = 0. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 + y - 4. Let p be u(-2). Calculate the greatest common factor of p and 710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3600217 to the nearest integer?\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-3 - (-15 - -9) - 14 - -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(5)*-6 + -1.\nAnswer: -6*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -174, -3, -1, -8 in decreasing order.\nAnswer: 0, -1, -3, -8, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12341*h**2 + 6164*h**2 + 6173*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.23 and -0.95.\nAnswer: -1.1685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 5. Let l be y(12). Let b be l - 4*(-1)\/(-2). Find the third derivative of 2*i**2 + 7*i**5 + 0*i**2 - 7*i**b - 3*i**6 wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28764 divided by -2397\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 8:56 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3056744?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/208512 and 61\/1152.\nAnswer: 208512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(152) - sqrt(152))\/sqrt(8) + 1.\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 998444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 548704.278 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**10*c*c\/c**(-9))\/(c*c*c**(2\/21))**(1\/24) assuming c is positive.\nAnswer: c**(2761\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113220 and 714.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/13134 and -65\/247158.\nAnswer: 2718738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 8. Let g be (16\/(-12))\/((-6)\/207). Let x = g - 53. Calculate t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.94 + 2.57. Let p = t + -3.44. Let s = -0.1 - 0.1. Which is the fourth biggest value? (a) 1 (b) s (c) -0.3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*l - j - 2, j = -2*l + 1. Factor -9*w**4 + 7*w**l - 3*w**3 + 7*w**4.\nAnswer: -2*w**3*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1426 + -1405. Solve 3 = -18*m + t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1499 + 3473. List the prime factors of s.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 64539528?\nAnswer: 1\/32269764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 1. Let n be k(1). Suppose n*s - 3*s + 15 = 0. Suppose 0 = -4*x - x + s. What is the highest common factor of 24 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbu when four letters picked without replacement from {u: 1, y: 1, c: 1, b: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43092 is divided by 403.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvvdzzdzdzvdzzdvddv. Give prob of picking 1 z and 3 d.\nAnswer: 245\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*v - 24*v - 32*v**3 + 8 + 30*v + 6 + 11*v**2 wrt v?\nAnswer: -192*v + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(10\/(-4))*5. What is the second derivative of i + 2*i - 2*i - 3*i**4 - k*i**4 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-106)\/(-8) - (-5)\/(-20). Suppose r + 3*a = 0, -r - 3 - w = -5*a. What is the units digit of ((-3)\/r)\/((-2)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -401 + 397. Let t be (-36)\/63 + c\/(-7). Solve 3*o = t, 5*j + o = -o + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49716122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 6*j - 85. What is g(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55163807687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -3.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.8. Let y = r - -2.8. Let m = y + -3.5. Sort m, 1\/3, -2\/3 in descending order.\nAnswer: 1\/3, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*x**3 - 51*x + 51*x + 265 - 265 + 83*x**3.\nAnswer: -597*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 0*k**3 + 0 - 2\/7*k**5 + 0*k**4 + 0*k**2.\nAnswer: -2*k**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 818*h**3 - 59716*h**2 + 146*h.\nAnswer: 2*h*(h - 73)*(409*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2. Let k(t) = -t**2 - t**2 + 444 - 444. Give j(k(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*b - 17 = b, 3*t - 4*b - 7 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3\/5, 19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -451556, -0.5, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34\/217 - 4\/31. Let l = -0.995 - 308.205. Let s = -309 - l. Which is the nearest to s? (a) 1 (b) -0.05 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1443 (base 11) to base 5.\nAnswer: -24422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -822.388 + 824. Let q = 1.611999347 - v. Round q to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**3 - 2500*w**2 - 12344*w + 34720 = 0?\nAnswer: -620, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (3 + 13) - (6 - 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k + 5. What are the prime factors of o(10)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 5407*h**2 - 5407*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4156063967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.45083 to 2 decimal places.\nAnswer: 7.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5247 is divided by 1307.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41096 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 771820712 to the power of 1\/2, to the nearest integer?\nAnswer: 27782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:41 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 1 + sqrt(2736))*-2.\nAnswer: -48*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -387558680 minus 1107?\nAnswer: -387559787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*y - 4, -5*t = 3*y + 10 - 5. Suppose 4*j - 2*q - 16 = y, -3*q + 20 = 5*j - 0*j. Solve j*w = 2*k - 6, 0 = -w - 0*k + 5*k - 24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.52478 millilitres to litres.\nAnswer: 0.02352478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - -111. List the prime factors of t.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (16 + (-8 - (-2 + -3)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**7\/2520 - 37*a**4\/12 - 5*a. Let i(x) be the third derivative of k(x). Let d(n) = -9*n**2. What is i(d(m))?\nAnswer: -81*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115525479743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/11508?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*r + 2, 5 = 2*a + r. Let c(y) = y**3 - 3*y**2 - 2*y + 3. Calculate c(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 76117, 152267, 228441, 304639, 380861, 457107, 533377?\n\"Answer: 12*w**2 + 76114*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-36)\/(7128\/110))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 240 = c. Let i = 76 - c. Solve 4*g = -g + 4*r + 36, 0 = 2*g - 5*r - i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 10:42 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 5 (c) 2\/11 (d) -1 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 48*n**2 + 319*n + 57. Let o be x(40). Solve 5*k + 5 = 2*f, -6*k + 4*k - 3*f + o = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 4\/4843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 - (-36)\/(-2 + 5). Solve -j*o = -4*t - 2, t + 23 = -0*t + 5*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 n when four letters picked without replacement from {n: 13, j: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*w**4*z + 2*w**4 - 4991*w**3*z - 6*w**3 + 2*w**2 + 6*w - 1344492*z wrt w.\nAnswer: -144*w*z + 48*w - 29946*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/4 + 2 + -2. Is 9 - 8 - (-1 - w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-4)\/(sqrt(5500)\/sqrt(5))*-1)**2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, p: 2, j: 3}. Give prob of picking 2 j and 2 s.\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 848*n - 853*n - 43, 2*t = -3*n - 21 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 710515 divided by 5\nAnswer: 142103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 4628?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -28*w + 544 - 608 - 4*w**2 - 4*w = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9488 is divided by 56.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1885 and 14549938.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = u - 23, 13 - 1 = -4*b. Let r = u - 7. Solve 4*v - r = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86162?\nAnswer: 2, 67, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 3.02.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1865 + 9.\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -22. Let c = -23 + o. Suppose 5*s - 193 = 3*v - 69, -c*s - v = -132. Calculate the greatest common factor of 39 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 6, -8*b + 94 = -3*b - 3*a. Let z be (-15)\/b*(-6 - -2). Factor 2\/5*p**z + 2\/5*p**2 - 2*p + 6\/5.\nAnswer: 2*(p - 1)**2*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 5. Let p(k) = -k - 4. Give -7*m(x) - 6*p(x).\nAnswer: -x - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b. Let x(v) = 145*v - 1. Determine x(h(l)).\nAnswer: 145*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1266286866 to the nearest integer?\nAnswer: 35585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*a = -17, -4*a = -5*m - 0*a + 23. Factor -4*u**2 + 5*u**2 + 5*u**3 - u**m + 7*u**2.\nAnswer: 4*u**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1108*r - 9810*r + 8705*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 2*l**2 - 4*l**2 - l**2 + 5*l**2. Let u(x) = -12*x**2. Calculate 10*j(h) - 5*u(h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9845371551.48 less than -112?\nAnswer: -9845371663.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 72. Let y be 199 + 2*2\/(-4). Calculate the highest common divisor of j and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -890*l**2 - 68534*l\/7 - 44\/7 = 0.\nAnswer: -11, -2\/3115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**3 + 6210*t**2 + 45*t - 31085. What is u(690)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 5, 25 - 3 = -k + 4*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 572 + 331*u + 13*u**2 - 572 wrt u.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -110612.832?\nAnswer: 110615.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) -2\/3 (c) 1 (d) -269824073\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z + 3. Let n(j) = -2*j. Let m(l) = 4*l**3 - 2*l**2 - 2*l - 1. Let c be m(-1). Let k = 3 + c. Let i(r) = 2*r - 1. What is k*i(w) + z*n(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -8*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 11. Let c = 16 - 21. What is the least common multiple of g(c) and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**0*y*y)\/(y\/(y\/((y**(-1\/13)\/y)\/y))))**(2\/31)*(y**(-5)*y\/(y*y**(1\/4)\/y)*y)\/(y**(-3)\/((y**3\/y)\/y)) assuming y is positive.\nAnswer: y**(1841\/1612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*b = -585*b + 1937*b + 87741 + 20787 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64464768 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: How many minutes are there between 4:59 AM and 5:09 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5925 = 30*f + 5265. Let g = f - -521. Is g a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.013 and -0.4.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzz when four letters picked without replacement from {l: 12, c: 2, z: 3}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*5*4. Let n(x) = x**3 - 5*x**2 + 106*x - 527. Let j be n(5). Let f be 0\/(-1)*5\/(-10). Solve -j*i + q - 1 = f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**3 - 2*p**3 + 3*p**3)*(63*p - 1239 + 1239).\nAnswer: 441*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 - t + 18. Let n be j(0). Let q = n + -4. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-3)*-1*16\/80. Let s = 0.6 + -6.6. Which is the closest to 0.1? (a) -2 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (52\/(-20))\/((-1)\/(-5)). What is the units digit of (-3662)\/(-26) - 2\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c. Let h(l) = -l**2 - 2*l + 4561. Determine o(h(a)).\nAnswer: 4*a**2 + 8*a - 18244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7459727 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(30\/(-45)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 12905877\nAnswer: 5162350.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 173, 355, 613, 947?\nAnswer: 1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -379709\/142 + 2674. Which is the nearest to -2\/7? (a) -1\/4 (b) o (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1)*s)**45\/((s**(-2\/19)\/s*s)\/s**4))\/(((s\/s**(1\/6))\/s)\/s*s\/s**(2\/11)*(s**4*s)\/s**(-3\/8)) assuming s is positive.\nAnswer: s**(672539\/5016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 364\/273 - ((-2)\/4)\/((-2)\/10).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 10. Let w(q) = q + 3 + 14 + j. Let z be w(-13). Solve -2*d + z*d + 4*m + 12 = 0, -3*d - 3*m - 3 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/30 + x**4\/12 - x**3\/3 - x**2. Let u(t) = t**3 - t**2 + t + 1. Let r be u(0). Let j be p(r). Solve -6 + j = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -41. Let y be 1\/4 - (-220)\/i. Let d = y + -6. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 11 = 2*d, 1 = 4*d - 4*k + 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcuccss. What is prob of picking 1 d and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46274 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322 = 365*o - 177*o - 174*o for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/7 - (-344)\/7. Let o = 52 - t. Suppose -2*w - o*w + 765 = 0. Calculate the highest common factor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 2, a: 1, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1131*u + 27323. What is g(24)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - b + 1)*(-2079*b - 2170*b + 3899*b) in the form t + r*b + m*b**2 and give m.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 90 = -4*z - 150, -5*z - 4*g = 255. Let w = 59 + z. Suppose t + u = w, 2*t = -t - u + 20. Solve 3*i - t*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + g**2 + 1. Let k(i) = -48*i**3 + 8*i**2 + 8. Determine 8*a(u) - k(u).\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**2 - 47*y + 1. Determine b(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13877 - -13877.5. Suppose -4*f = -4*h + 7 - 3, -13 = 4*f + 5*h. Which is the second biggest value? (a) 0.1 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 8. Let v(i) = i**2 + 12*i - 3. Let j be v(-11). Calculate the least common multiple of b(j) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(-3*sqrt(8)))\/sqrt(9) + 3 + sqrt(27) + -2 + sqrt(15)\/sqrt(5).\nAnswer: 1 + 11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/3 (c) 56 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*z**2 + j*z + 2367196*j + 70275*z**2 wrt z.\nAnswer: -2*j*z + j + 140550*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 1\/5*d**5 + 0*d**4 + 0 + 0*d**2 - 3*d + 1\/3*d**3. Find the second derivative of l(w) wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117981400 rounded to the nearest one hundred thousand?\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**4 + k**2*y + 14*k*y wrt k?\nAnswer: 48*k**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from {l: 2, y: 1, x: 3, h: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*q - 6 = 0, 25 = 4*c - 472*q + 475*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 4:20 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 150\/7*p - 1700\/7 + 2\/7*p**2 = 0. What is p?\nAnswer: -85, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-24)*-10*462\/700\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2880, -5728, -10474, -17118, -25660, -36100?\n\"Answer: -949*c**2 - c - 1930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from xzxjjzjjxx?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l**2 + 3*l. Let d be p(-2). Let g = d + -25. Let f = g + 14. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 - 28 + 108)*(-5*k + 3*k + 0*k).\nAnswer: -366*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 87*q + 19. Let j(h) = -2*h - 5. Determine 28*j(d) + 7*l(d).\nAnswer: 553*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 128, 1, -20 in decreasing order.\nAnswer: 128, 1, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**2 - 17*c + 30. Let d be r(-3). Which is bigger: d or -97?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 5*b**2 - 4*b + 5. Let p be r(4). Suppose 0 = i - p*i. Sort 5, i, 3.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 120 = -9*o. Let q be (1\/10)\/(o\/180). Suppose 0*p = -2*p + 8. Which is the third biggest value? (a) p (b) 0.7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 46, 144, 286, 472, 702?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3055*q + 6140*q - 3100*q - 330 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10332, -41502, -93470, -166236, -259800, -374162, -509322?\nAnswer: -665280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -1\/210*n**7 - 1\/24*n**4 + 0 + 0*n + 1\/20*n**5 + 1\/120*n**6 - 1\/3*n**3 + 3*n**2. Factor i(c).\nAnswer: -(c - 2)*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17768 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 6, -1\/6, -1\/2, -270?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -28*w + 90 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 10. Let n be u(9). Let z be (-2)\/n*(-15)\/(-10). Suppose 224 = 4*s - z*h, -2*s - 5*h + 57 + 81 = 0. What is the remainder when s is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*u + 61*u - 27 = -1699 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 13) in base 16?\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(2\/20). Let s = -2 - o. Suppose 4*m - 2*m = 48. What is the highest common divisor of m and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 58*u - 421. What is p(8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -5\/8 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 1\/7, 0.2, -0.2085, 5.\nAnswer: -2, -0.2085, -0.1, 1\/7, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -62 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -16, -1284, -58 in descending order.\nAnswer: 2, -3, -16, -58, -1284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 35?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*y - 1172*f + 1176*f, -26 = -3*y - 2*f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 10*j**2 + 4*j - 4. Suppose -w = -3*b - 3, 4*w = -w + b - 27. Let u = 16 + w. Does 18 divide n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001074736777 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 733\/7 - 105. Is g at least 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10*d**3 - 538*d**2 - 6586*d - 206. Give a(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 42 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -565.278461.\nAnswer: 563.278461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4\/5, -1251456 in descending order.\nAnswer: 0.2, -4\/5, -1251456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2260*j**6 + 4103*j**2 wrt j?\nAnswer: -271200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1432100 and -38\/36876575.\nAnswer: 147506300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.396 to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 51246.8 (b) 0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 16*x - 11*x + 330, -5*x - 260 = 4*n. Does 3 divide (14\/n)\/(1\/(-235))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 10*d + 15. Let n be g(-8). Let a be (60\/(-18))\/(n\/(-12)). Let r = 68 + a. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 27, -0.5024 in increasing order.\nAnswer: -2, -0.5024, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(1\/2)*j)*j*j*j**(1\/3))**47)**37 assuming j is positive.\nAnswer: j**(29563\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -46708 to the nearest 100.\nAnswer: -46700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*c = -3*c - 24, 0 = 2*a + 2*c. Solve -a*d - 2*r + 16 = 0, d - 3*r - 9 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45\/2 - -131\/6. Let c = -1 - 3. Sort h, c, 4\/5.\nAnswer: c, h, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/9 + -1)*-3. Suppose -l*c = -5*w - 31, -5*c - 2*w + 88 = -4*w. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 724572039 by 3.\nAnswer: 241524013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*x - 6*h - 126 = 537*x, 0 = 4*x + 2*h + 26 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let s(r) = -8*r + 75. Give -s(f) + 5*w(f).\nAnswer: -2*f - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846.1203nm to kilometers.\nAnswer: 0.0000000008461203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1 + 1 + 2 - 4 + a. Suppose 3*y - 13 = 5*t, -5*t - 5*y - 33 = 12. Calculate u(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0153974806 rounded to 4 dps?\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1262348*w. Let x(a) = -3*a. What is x(v(y))?\nAnswer: -3787044*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -41*g + 1800. Determine r(44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541, -1051, -1561, -2071, -2581, -3091?\nAnswer: -3601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (421\/2)\/(10\/80*-2). Is 37*2\/(-4)*z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/13 + (-19)\/((-2964)\/288). Suppose -11*z - p*z = -130. Solve 12*g - z = 17*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 10:00 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21747631289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29407?\nAnswer: 7, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**2. Let f(l) = -25*l - 1. Determine f(t(u)).\nAnswer: 175*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*d**5 + 96829*d**4 + 18353382*d**2?\nAnswer: -5820*d**2 + 2323896*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.29, 2\/5, -1, 12310, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1*390\/2535?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2375 and 9400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*k**3 - k**3 + 7*k**3)*(-3 + 2*k + 0*k - 4*k) to the form o*k**3 + u*k**4 + j*k + h*k**2 + b and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 189*x - 221. Suppose 84*a - 70 = 77*a. List the prime factors of o(a).\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-30) + 9\/27. What is the smallest value in 1\/2, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 15) in base 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 6)*(6*i - 3*i + 4*i + (0 - 1 - 2)*(-9 + 9 + 2*i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 267 = 5*g - 257, 5*g + 4*l + 8 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 27 = -3*p + 4, -2*p = 4*k - 22. Let x(l) be the second derivative of -3\/10*l**6 + 21\/20*l**5 - 2*l**3 + 0 + 0*l**4 - k*l + 0*l**2. Factor x(b).\nAnswer: -3*b*(b - 2)*(b - 1)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + 2*x)*(2*x**2 - 5*x**2 + x**2) - 49*x**2 + 49*x**2 + 36*x**3.\nAnswer: 38*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - d = -8, 0 = 113*h - 112*h - 4*d - 10. Solve 18*p + h = -124 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -c4b?\nAnswer: c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -8. What is the derivative of -5 - 4*c**a + 4 - 2*c**4 + 2*c**4 wrt c?\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 6:30 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 244*o + 349*o. Solve 3*y + o*y + a = -3, 5*y + 5*a = -15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14*k - 112. Let l be p(-26). Suppose -l = -11*j - 10*j. Solve -11 = -5*q + 3*x - 5, 4*x - j = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuu. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from bdriribibb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(11 + 36*v - 11)*(-2*v + 4*v - v) to the form o*v**2 + k*v + i and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5\/4, 30, 2, 6.3, 3, 1.\nAnswer: -5\/4, 0.3, 1, 2, 3, 6.3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -13. Let y(v) be the third derivative of v**6\/120 + v**5\/10 + v**4\/6 - 2*v**3\/3 - 1064*v**2. Give y(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -85, -234, -483, -856, -1377, -2070, -2959?\nAnswer: -4068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1909514600 to the nearest 1000000.\nAnswer: 1910000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l + 33. Let j be g(-4). Is 2 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s = 15 + 29. Let k be (22\/18 - s)\/((-18)\/(-162)). Factor -1\/9 - 1\/3*f**k + 1\/3*f + 1\/9*f**3.\nAnswer: (f - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + sqrt(11) + 1 - -6*(-2 + sqrt(11)))**2.\nAnswer: -84*sqrt(11) + 573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1220133?\nAnswer: -1220123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avkkkvkkkakkvkaakvkk. What is prob of sequence kak?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 548175124*f + 4632424.\nAnswer: 548175124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141452795 and 2596.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*m - 52, 102*m = 101*m + 4. Solve 0 = 26*s + t - 82 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 444 + 1?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33742.\nAnswer: 2, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 - 2*g**2 + 0*g**2 + (-5*g + 4*g - 8*g)*(3*g - 1 + 1))*(20 + 2*g**2 - 20) in the form h*g**2 + k + i*g**4 + y*g + q*g**3 and give i.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x = 22*x - 15, 3*p = -0*p - 4*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21.3 and 98885507.\nAnswer: 98885528.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 352.27464 - -0.69536. Let y = s + -360. Round y to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6.89, -2\/5, -1328.4?\nAnswer: 6.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 268, -1, -3, -0.3, -17?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*1*4\/10. Let x = w - -8. Suppose z = -z + x. Solve 4*t + z = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 59 + 88 = 0. Let u(r) = g*r + 3*r - 11*r + 2*r. Let t(f) = -f**3 + 4*f**2 - 5*f. Calculate -t(n) - 5*u(n).\nAnswer: n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88710434?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhqqqhhqqqhhhihhhqh?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 779, -4, 11761 in descending order.\nAnswer: 11761, 779, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 111010011 (base 2) to base 11\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - 2778338.\nAnswer: -2778379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -348*f + 1706. Give o(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -50, -52, -30, 28, 134, 300, 538?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*-6 - -25803. What is g rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170 (base 9) to base 11\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 432186607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.045 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-42)*(f\/f**(2\/3))**(-1\/22) assuming f is positive.\nAnswer: f**(-1\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p + 42. Let t(d) = 3. Let f(o) = -14*t(o) + u(o). Let j(z) = -6*z**2. Calculate j(f(n)).\nAnswer: -294*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = b + 10, 5*b + 14 = -4*z + 2*z. Suppose 5*n - 29 = z*j, 0 = -2*j + 4. Find the common denominator of (((-3255)\/10)\/n)\/30 and -105\/38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 1\/8, 0.0044, -2, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/(3\/((-270)\/(-12))).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-46)*40011\/26674.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*q**4 - 11*q + 29508?\nAnswer: -132*q**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2197537, 2197535, 2197533?\n\"Answer: -2*t + 2197539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 26167 + 5172 = 998. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4042 and 4136?\nAnswer: 177848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 3152?\nAnswer: 15760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1671 + -878. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601543207.\nAnswer: 601543207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -239 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 519 = 3096. List the prime factors of b.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043318 minus -26?\nAnswer: 25.956682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -97, 164, 869, 2240, 4499?\n\"Answer: 37*w**3 + 2*w - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2486*p + 2487*p - 3*n = -4, -60 = -5*p - 5*n for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*q = 4, 224*j - 5*q = 221*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*g + 5868 = -17*g + 96*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = 40*t - 1016. Solve -2*l = -y - 6, 4*y + t = 3*y + 5*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = -3*m + 7, 3*m - 2*n - 13 = 0. Let t(b) = 0*b**2 + 0*b**m + 3*b**2 - 3 + b**3 - 5*b**2 + 2*b. Determine t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 33 (b) -0.3 (c) -2\/17 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 11*x - 31 = -2*k, 2*x + 42 = 4*k. Solve -k*q - 15*q = 115 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 + -22. Let s = c + 149. Calculate the highest common factor of 126 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 p, and 1 m when four letters picked without replacement from {p: 1, n: 4, o: 2, e: 1, m: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 48\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.4\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 2761020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 10 - (40 + -52).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 7*t**2 - 4*t - 8. Let f be l(-6). Calculate the remainder when (-18 - f)\/(2\/38) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 85, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 12:07 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 14. Suppose -3*l + 2 + 1 = 0. Let u(n) = -5*n + 1. Let o be u(1). Sort l, o, d in decreasing order.\nAnswer: l, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 + 5. Let f = l + -44. Find the common denominator of f\/(-4)*2\/(-4) and 17\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/7)*t*t)\/t**13 assuming t is positive.\nAnswer: t**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.31. Let v = -42117.8 - -42118. Which is the third smallest value? (a) n (b) v (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14914028 is divided by 14913973?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w + 1 - 7*w + 0*w)*(w + 2*w - 2*w) to i*w**2 + f + b*w and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-77) + 400260\/(-17934) + 22.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 2*q**2 - 2*q. Let s be j(-2). Which is the nearest to -2\/21? (a) s (b) -9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 187*j**5\/120 - 49*j**4\/12 + 24*j**3 + 163*j**2. Let s(y) be the first derivative of a(y). Differentiate s(w) wrt w.\nAnswer: 187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20100221201222 - 11?\nAnswer: 20100221201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Let z = 15 + -14. Suppose -z = -i*v + 7. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1787962168\/8431 + 212070. Let v = -1121347\/101172 + p. What is the common denominator of v and -15\/7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 9*s + 7. Let w be p(0). Let r = -8 + 13. Sort r, w, 2, -5.\nAnswer: -5, 2, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(891) - (1 + sqrt(891)*-1) - (sqrt(891) + -1 + -5)))**2.\nAnswer: 36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 14, p: 5}. What is prob of picking 2 b?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**7\/2520 + i**6\/90 + i**5\/40 + i**4\/4 + 3*i. Let f(w) be the third derivative of v(w). What is the units digit of f(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 709917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 13) in base 9?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*v**5 + 37*v**4 - 28*v wrt v?\nAnswer: 100*v**3 + 444*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2907*t - 288 = -2908*t. Which is bigger: t or 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkvgwv. Give prob of picking 1 k and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3297262 is divided by 1882.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/((-29)\/(87\/4))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25975182 and 2426?\nAnswer: 25975182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 p when three letters picked without replacement from {p: 3, w: 7, l: 1, v: 3}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdcdzaa. Give prob of picking 1 a and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.69 at least as big as -0.321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 24708*a + 6640920.\nAnswer: -4*(a - 258)*(a + 6435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*m**2 - 5*m**2 - 2*m**2 + 0*m**2 + 4*m**4 wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -393*h + 4893. Give k(12).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108555291 divided by 3.\nAnswer: -36185097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/404 and 438\/80 - (7 - 2).\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132129 and 1927089.\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -342, 1, -3, 3 in decreasing order.\nAnswer: 5, 3, 1, -3, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9944?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -643*h = -638*h - 3*v - 54124, h = 4*v + 10835. Is 0 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 193968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*d - 3*t, -d = 2*t + 5368 - 5358 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 3. Let u(m) = -m - 4. Let s be u(3). Let v be y(s). What are the prime factors of (-276)\/(-14) - v\/(-35)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7827 - -27.\nAnswer: -7800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -27. Let x = 178 + -170. Suppose -9 + 177 = x*s. What is the smallest common multiple of s and q?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 4:10 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 219, -5, 11, 4 in increasing order.\nAnswer: -5, -4, 4, 11, 18, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14060016 = -2*x + 4*v, v = -x - x - 14059996. Round x to the nearest one hundred thousand.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402444 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*r = -2, 5*j + 20*r = 25*r. Which is the closest to j? (a) 1 (b) -2 (c) 0.5 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**3 - 53*j**3 + 2993*j + 21*j**3 + 13*j**3.\nAnswer: j**3 + 2993*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k. Let v(f) be the third derivative of -31*f**5\/60 - f**4\/4 + 214*f**2. What is 6*r(j) + v(j)?\nAnswer: -31*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -632, 0.3, -1\/7, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69.9 and 1.2.\nAnswer: -68.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2003*q - 3. Let t be s(1). Suppose -t = -3*v - 2*v. Suppose 0 = 6*z - 14*z + v. Calculate the remainder when z is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344872 to the power of 1\/2, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 549647.669 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 5:07 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 642 and 3297609.\nAnswer: 705688326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 108*g - 236, -f - 3*g + 16 - 27 = -22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1534\/472)\/(2\/12*330\/(-55)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**1)\/j)\/j*j*j)\/j)**(2\/37)*(j**1)**(-25) assuming j is positive.\nAnswer: j**(-923\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738996?\nAnswer: 2, 7, 173, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + j**2 + 2*j**3 + (0 - 4 + 2)*(4*j**3 - j**2 + j**2).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/(-4) - (-11)\/(-44). Let g(u) = 344933*u - 13. Let w be g(n). Let s = w - 1149585. Round s to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/i**(2\/3))\/i)*i)**(-37))**26*(i*i*i*i\/(i**(-1\/8)*i))\/(i**(-7\/3)\/i)*(i\/(i*i*i*i**(1\/2)))**(-28) assuming i is positive.\nAnswer: i**(-19911\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 - 3*n + 5. Let d(v) = -2*v**3 + 10*v**2 + v + 3. Let j be d(5). Suppose j = 4*x - 12. Let c(r) = -12*r**2 - 8*r + 14. Give x*c(m) - 14*h(m).\nAnswer: -4*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75372 or 75390?\nAnswer: 75372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4114*u**2 + 504*u - 3?\nAnswer: 8228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 5*p - 38. Let g(i) = -3*i**2 - 9*i - 79. Let x(d) = -4*g(d) + 7*r(d). Let m(c) be the first derivative of x(c). Calculate m(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -446*s - 3117. Calculate the smallest common multiple of 289 and r(-7).\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1769995394085 take away 0.105?\nAnswer: -1769995394085.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 4*k - 10. Let a(u) = -u. Determine -10*a(w) - 2*b(w).\nAnswer: 2*w**2 + 2*w + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**7\/280 - t**6\/80 + 3*t**5\/5 - 63*t**4\/16 + 81*t**3\/8 + 1364*t**2 - 2. Determine h so that j(h) = 0.\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 151.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3707\/1348)\/(22\/4)*(-12)\/38?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 677, 769, 863, 959?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 6*d**3 + d**3 - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1646 or 38?\nAnswer: 0.1646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 7:27 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*k - 3316 = -5219. Let c(d) = d**3 + 10*d**2 - 2*d + 15. What is c(k)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/20*250\/2200\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 1 + 0*u + 2*u**2 - u**2. Suppose -4 = 2*f - 0. Let n be i(f). Solve -n*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n - 6. Let q be j(-5). Find the first derivative of -z**4 + q - 27 - 3*z**4 wrt z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 27, 11 in descending order.\nAnswer: 27, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14247240 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 7\/75*y**5 - 2*y**2 + 82 + 1\/3*y**4 + 1\/150*y**6 + 0*y + 0*y**3. Factor d(u).\nAnswer: 4*u*(u + 2)*(u + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = -5*w. Determine r so that -5*r**4 - 3*r**3 - 3*r**4 + r**4 + r**w = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -20*n - 1. Let t = -1 + 0. Is r(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -3, 4, 15, -2 in increasing order.\nAnswer: -3, -2, 4, 15, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/6)\/((-36)\/54)*-12. Let g be -3 + ((-8)\/(-2) - 1). Suppose g = h*p + 6*p - 11760000. What is p rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 11848*x**3 - 29*x**2 - 16*x - 69. Let s(q) = 2962*q**3 - 7*q**2 - 4*q - 18. Let b(w) = -13*s(w) + 3*v(w). What is the third derivative of b(o) wrt o?\nAnswer: -17772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112 - -60) + 9 + 0.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -503*o + 32. Let k be w(-9). Suppose -k = -f - f + n, f + 2*n - 2287 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96117.5 to the nearest one thousand.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:03 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 7*i**4\/12 - 2*i**3\/3 + 28*i. Let x(b) = -13*b**2 + 7*b. Give 5*v(a) + 3*x(a).\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 - ((-8)\/16)\/(1\/6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4953.\nAnswer: 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112751 to the power of 1\/2, to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-138)\/(-2266236)*-69)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*b**4*m + 2*b**4 + 2*b**3*m - 184*b**3 - b**2*m - 4*b**2 + 38*b*m + 5*b + 85*m wrt b.\nAnswer: -408*b*m + 48*b + 12*m - 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-1 + 2 - 126). Suppose 0 = 4*f - i - 518. Does 11 divide ((-18)\/15)\/((-6)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 5*n**2 + n - 1. Let a be t(5). Factor -a*m**2 - 5*m + 2*m + 5*m**2 + 2.\nAnswer: (m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 385\/4. Let u = 22 + -14. Suppose v = 3*v - u. What is the smallest value in 1\/2, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1 - 4 - 7 - n. Let z be c(-7). Let h = 1 + -5. Sort z, h, 25.\nAnswer: z, h, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - 0.01. Let w be ((-1)\/((-3)\/(-2)))\/((-91)\/21). Which is the nearest to 2? (a) w (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 6*b - 4*b)*(b + 3 - 3) + 4*b**2 - 3*b**2 + 0*b**2 + (-5*b**2 + b**2 + 5*b**2)*(-1 + 1 + 1).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - -453?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjtddjxjjjsdjmj. Give prob of picking 1 x and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 4096.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 4*u + 4*u. Let v(i) = -900*i**2 + 35*i - 35. Let q(y) = -103*y**2 + 4*y - 4. Let j(p) = -35*q(p) + 4*v(p). What is a(j(w))?\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -11. Let l = o - 10. What is the third biggest value in l, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20215135 (base 7) to base 16.\nAnswer: 19b59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 2. Suppose -c - t = -22, c = -2*t + 3*t + 18. What is the lowest common multiple of c and q(8)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 10*b**2 - 16*b + 2. Give y(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + 4 + 3.\nAnswer: 2*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/252)\/(6\/(-28))*(-4)\/56?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + (sqrt(342)\/sqrt(36) - sqrt(38)) - sqrt(456)\/(sqrt(12)*1))*-5)\/(-2*4*-2*sqrt(72)).\nAnswer: 5*sqrt(19)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12986*f. Let y(i) = 448*i. Calculate -3*v(s) - 86*y(s).\nAnswer: 430*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 12, 118 = -3*h + 8*h + 2*z. Solve 7*j = h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*d - 2*d**3 - 427*d - 1885*d + (2*d**2 + 2*d**2 - 2*d**2)*(-d - 2*d + 2*d) to v*d**2 + r + x*d + g*d**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 25 = -i. Let x = i + 19. Let d(w) = w**3 - w**2 + 2*w - 1. What is the remainder when x is divided by d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c = 30*c + 8, 2*m - c = 406. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let a = -0.52 - -5.52. Suppose 2*x + 2*w + 10 = 4*x, 2*x - w = 7. What is the second smallest value in v, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148770114.\nAnswer: 2, 3, 19, 79, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1794, -4620, -7444, -10266?\n\"Answer: c**2 - 2829*c + 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -5, -1, 13, 43, 95?\n\"Answer: w**3 - 4*w**2 + 5*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus -163.96792?\nAnswer: -163.36792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32092 + 33413.7. Round d to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k**4 + 385*k**3 + 1625 - 1626 - k + (-4*k**3 + 4*k**3 + 2*k**3)*(2*k + 0*k + 2*k) - k**4 + k**4 - k**4 - 4*k**4 + 3*k**4 - k**4.\nAnswer: 6*k**4 + 385*k**3 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2593153, -5186303, -7779453, -10372603, -12965753?\n\"Answer: -2593150*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 280*r**2 - 1142*r - 1715. What is a(-284)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 4 = -2*u. Suppose t = -t + u. Solve t*g - 8 = 3*g, 4*w - g = -16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 = 3*v, -2*v - 108*t + 103*t = -30. Solve -398*c = -393*c + v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32246966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 10*r + 2. Calculate t(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8 - -430) + (-2 - (-6)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -4.4 (c) -3 (d) 1846 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123222672 rounded to five decimal places?\nAnswer: 0.12322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 1. Let b be p(-3). Let v be -411 - (b + -3 + 0). Let a be 4\/14 + v\/(-28). What is the greatest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6849\/85 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -3. Suppose 0 = -3*n + n + k. Solve -3*c + n = 5*p, 0*p - 3 = -3*p + c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + m - 190 = 62, 0 = 4*t - m - 336. Let g = -6035 + 6091. Calculate the highest common factor of g and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/55)\/b*b**(-34)*b)\/(b**32*b*b**(-2\/129)))**29 assuming b is positive.\nAnswer: b**(-13789877\/7095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2139 and 85281?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/4*-6)\/(-3 + 5). Which is the second biggest value? (a) 0.08 (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 789*n**3 + 8*n**2 + 5043*n wrt n?\nAnswer: 4734*n + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.060165406 + -23344.\nAnswer: -23343.939834594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -10. Solve 3 + x = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xffxffx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*r - 122 - 360 = 296. Factor -3\/4*k**r + 3\/2*k + 2 - 1\/4*k**3.\nAnswer: -(k - 2)*(k + 1)*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 43 (c) 0.3 (d) -8.2 (e) -14 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2058 = 2*p - 4*x, -3*x = 4*p - 4131. Calculate the greatest common factor of 135 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2493 and 2492 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21 + 7.79. Let u = 9 - 16.7. Let n = l + u. Sort 3, n, 2\/13.\nAnswer: 2\/13, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (54\/(-36))\/(6\/(-112)). Let k = g + -29. Let x be -1*k*24\/(-4). Let j(c) = c. Determine j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 3*m**2\/2 + 154*m + 6592. Determine n(-36).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, w: 1, p: 1, o: 6, z: 1}. What is prob of picking 1 y and 1 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 1 - 1 + (4 + 2 - 5)*(0 - b + 0) + 2*b + 0 + 0 + (-1 + 1 - 2)*(-4 + 4 + 2*b) - b - 2*b + 6*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3*x + 3*x)*(2*x - 7*x + 3*x) - 3*x**2 - 4*x**2 + x**2 + (x - x - 2*x)*(3 - 3 - x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*k - 5*m, 221*k - 2*m = 219*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(392)*4)\/sqrt(8))\/(sqrt(7) + sqrt(63)*-1 - sqrt(112)*5))**2.\nAnswer: 112\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99)*-2 - sqrt(99))*-3)\/(3*sqrt(225)).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 48*z + 4916. Determine c(-101).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10744706 - 0.1.\nAnswer: -10744706.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*w + 1 = 2*w, 12 = 4*w. Let v be (-44)\/40 - 6*2\/(-8). Which is the nearest to 1? (a) o (b) v (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - 2. Is 5 a factor of z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07279 + 9646869106\nAnswer: 9646869105.92721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 104*q - 3. Let z be j(3). Let i be z\/21 - (-2 - (-24)\/14). Solve 2*l + 3*l = 5*r + i, -3 = 2*r - 5*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-2)\/(-138)*6). What is the greatest common divisor of s and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -849743, -849744, -849745, -849746, -849747?\nAnswer: -849748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f. Let l(r) = 1. Let i(h) = 3*h + 2. Let x(d) = -i(d) + 2*l(d). Calculate x(z(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1777 + 3.150351. What is o rounded to four dps?\nAnswer: -0.0273","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154 (base 12) to base 5.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13041, 1\/93, 5 in increasing order.\nAnswer: 1\/93, 5, 13041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 901, 395 in descending order.\nAnswer: 901, 395, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 1572648*y**2 - 7863333*y + 9435978.\nAnswer: 3*(y - 524221)*(y - 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.4 and -61.8.\nAnswer: 148.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36 + 145 + 72 - 22*w**3 + 24*w**3 + 56*w wrt w.\nAnswer: 6*w**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/541336 and 127\/10128.\nAnswer: 685331376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 96*d**2 + 8*d + 17. What is the tens digit of r(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 22*p + 8. What are the prime factors of q(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-6) + 2\/3. Let r = z - 5. Suppose -8 + r = -h. Calculate the least common multiple of 2 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 4. Let x(o) = 2*o + 34. Let d(y) = y**2 - 16. Let v be d(-5). Let u be (-4 - -7)\/v*-39. Let w be x(u). Calculate a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1808 + -c?\nAnswer: 17c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z - 23. Let q be a(5). Suppose -14 = -5*r - o, -q*r + 7*r - o - 6 = 0. Solve r*h - 4*y - 16 = h, y + 11 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(468))*3 - sqrt(5200)*2)\/((1*sqrt(1100) + sqrt(44) - sqrt(44))\/sqrt(11)).\nAnswer: -8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*1\/(-595)*(-7)\/(-2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -6460\nAnswer: -3\/1292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -42756 (base 8) to base 7\nAnswer: -103123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -2\/3, 2, -1483?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -12, 4*l + 2*r = -18 - 4. Let s be 1 + (-6 - -4) - l. Let n = 4 + -2. Solve -t - 2*t - 5 = w, -s*w - n*t = 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 121. Let r be (-21)\/(-14) - 3\/2. Let i be v(r). Calculate the greatest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-88) + 2\/(-4). Let d(p) = p + 4. Let h be d(-9). Which is the biggest value? (a) u (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 9) in base 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -42420*d**2 + 339356*d + 23. What is r(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -25, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s + 38. Let h(p) = 5*p + 13. Let o(r) = -11*h(r) + 4*t(r). Let q(m) be the second derivative of m**3\/3 + 4*m + 5. What is q(o(a))?\nAnswer: 2*a + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k*u**2 - 238*k*u + 21566224*k + u**2 + 7434*u with respect to u.\nAnswer: -6*k*u - 238*k + 2*u + 7434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000987841655 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.4 + -42.26. Let u = 57.14 - w. Sort u, 1\/2, 2\/5 in ascending order.\nAnswer: 2\/5, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 207074.3 days?\nAnswer: 17891219520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.438 - -0.58. Let f = 40.971 - 41. Let n = c + f. What is n rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-8) + 1)\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -17, 0, -4 in descending order.\nAnswer: 0, -4, -17, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**5 - 70*a**4 - 280*a**3 - 290*a**2 + 285*a + 360 = 0. What is a?\nAnswer: -8, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:03 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000119895 rounded to 7 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {b: 2, j: 4, p: 9, k: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81331, 325367, 732111, 1301563, 2033723, 2928591?\nAnswer: 3986167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6)**(-3\/2))**(-5\/9) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let j(o) = -o**2 - 6*o - 3. Let u be -1*(63\/(-3) + 3). Let d be (-12)\/u*15\/2. What is j(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1\/47, 1\/3 in increasing order.\nAnswer: 1\/47, 1\/3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 22 = -8*y. Solve -3*l = -i + 9, 4*l = -3*i - 3 + y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1095147 = -5*x, 8*y + 8 = 6*y. Let q = -135973 - x. What is q rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**6\/120 - m**5\/10 - m**4\/12 - 14*m**3\/3 + m**2 + 87. Calculate t(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 36. Let h be (45\/(-18))\/((-1)\/2). Suppose h*s - 4*d - 185 = m, 4*d - 3*d - 5 = 0. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2 + 10. What is the greatest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2766.712993688 and -0.2?\nAnswer: 2766.512993688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 15}. Give prob of picking 1 i and 3 q.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*(-372)\/6045\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j + 1096. Does 25 divide b(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*5*-3)\/(-1). Suppose 2*l = 5*l - z. What is the third derivative of 5*h**l + 2*h**2 - 3*h**5 - 4*h**2 wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1326965713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bc62 (base 13) to base 12.\nAnswer: -40319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s + 17. Let c(r) = -5*r - 8. Let d(j) = -13*c(j) - 6*g(j). What is d(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9109 * -1\nAnswer: -9109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by ((-17)\/(-68))\/((-2)\/(-664))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*n = 76 - 114 + 710 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 99*f**5\/5 - 98*f**3 + 444. Find the third derivative of n(p) wrt p.\nAnswer: 2376*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 23. Suppose 205 = g + 3*b, -6*g = -5*b - 746 - 599. Calculate the highest common factor of g and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 4*u + 16, -3*i - 2*u + 5 + 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-5 - 1 - 6069\/(-2016)) and -83\/960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/7463 and -87\/2.\nAnswer: 14926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.970017mm in kilometers?\nAnswer: 0.000007970017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28790 and 49469857?\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 + 1.3. Let x = 0.54 - -2.46. Let u = 0.14 - 5.14. What is the second biggest value in x, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10300 = -7*p - 1284. Suppose j = -3*c + 965, j = -4*c - j + p. Suppose c = 6*b - 3*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 8. Let c(f) = 2*f + 5. Let k be c(-3). Put x, k, 2\/25 in descending order.\nAnswer: x, 2\/25, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483793750 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, r: 8, y: 5, n: 2, e: 1, d: 1}. What is prob of picking 1 r, 1 y, 1 d, and 1 e?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Suppose 3*n = 4*a + 37, u*n + a - 3*a = 56. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3425647 - -1?\nAnswer: -3425646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000036587588 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + -32201321?\nAnswer: -32202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-3\/8)*z)*z*z)\/z)\/z**3*(z**(-1\/2))**9 assuming z is positive.\nAnswer: z**(-49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*w + 58562 = 48622 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 308*a**3*b**2*w - a**3*b**2 + 3*a**3 - 4*a**2*b*w + 4*a*w - 2*w wrt b?\nAnswer: 616*a**3*w - 2*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 6:17 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.3 and -2.5.\nAnswer: 18.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -519*z**2 + 2364*z + 1145. Determine k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*4*3)\/(sqrt(1500)\/sqrt(6)).\nAnswer: 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + u**4 + 4*u**2 + (2 - 2*u - 2)*(-1 - 4 + 4)*(-3*u - u + 6*u + (1 + 0 + 0)*(185*u + 831 - 831))*(5*u**2 + 2*u - 2*u).\nAnswer: 1871*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (12 + -4)\/(-4). Solve -4*i - i + 10 = j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 - 194 + 396 = s. Solve 3*n - a + 8 = 0, s*a + 2 = 17*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a4 - b?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**4\/4 - n**3 - n + 3. Let u be g(-3). Which is the third smallest value? (a) 0.2 (b) -0.6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/8 - 11881*v\/8 - 22305.\nAnswer: (v - 11896)*(v + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4\/5 - 92128*p**3 + 13270574872*p**2\/5 - 100756616352*p + 4784360033124\/5.\nAnswer: 4*(p - 57561)**2*(p - 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 386 - 388 - 75*f**2 + 5*f - 11*f**3 + 72*f**2 to d*f + t + a*f**3 + n*f**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -0.04, -2\/11, -3, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -757 + 757 - 182*n**2 + 3*n**2 + n**2 - 2*n**2 - 2*n**2 + n**2 + 3*n**2 + (-2 + 5 - 4)*(-7*n**2 + 3*n**2 + 2*n**2) + (n + 2*n - n)*(n + 1 - 1).\nAnswer: -174*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*q - 1)*(-23 + 36 - 22) + 2*q - 2*q + q to the form f + x*q and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 - a**2 + 1. Let o(v) = -7*v**3 - 18*v**2 - 5*v + 40. Let f(k) = -o(k) + 4*q(k). What are the prime factors of f(7)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 704\/1089*3 - 4\/2. Suppose g = -2*t + 9, 0*g = 3*g + 4*t - 17. Is k < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00078605 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oetltytyyyyylzzoloo. Give prob of picking 1 l and 1 o.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 9*s - 4*s)*(-30 + 26 - 60).\nAnswer: -64*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83343 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 10*u + 3. Let b be g(-10). Suppose -o + b = -0*o. Suppose -5*w = -67 - o. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 6*s**2 - 7*s + 6. What is t(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45998372.8 rounded to the nearest ten thousand?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 101 = 9. Let i(f) = 107*f**2 - 38*f + 50. Calculate the remainder when i(1) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 4, 1, -2, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.32 + -14.3204084. What is s rounded to five decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71215 (base 11) to base 8.\nAnswer: 313214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*t + 52*t + 102. Solve -20 + 3 = -t*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -1, 0.3055692, 2 in descending order.\nAnswer: 3, 2, 0.3055692, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 274652 divided by -4039\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/60526 and -115\/6852?\nAnswer: 363156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/9))**(-35))**10\/(c**(2\/11)\/(c\/(c\/(c\/(c*c**8*c))*c*c))*c**(4\/5)*c**(-2\/21)*c*c*c) assuming c is positive.\nAnswer: c**(-1533832\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 7397853.\nAnswer: 22193559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 - 136.447884.\nAnswer: -104.447884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7121)\/(-10) + (-16)\/160. What is u rounded to the nearest ten?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - -105. Let n(v) = -94*v - 376. Let y be n(-4). Suppose y*h = -h + 2*b + j, h + b - 147 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21605693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6839761.\nAnswer: 97, 107, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136742760 divided by 3418569.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614.914 minutes to nanoseconds.\nAnswer: 36894840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + k - k + 0. Suppose -a + 5*a - 4 = 0. Let d(m) = -2. What is a*d(p) + y(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + -11?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2 + 1*5. Is 3 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**7\/84 - m**6\/90 - m**5\/12 + m**4\/6 + m**3 + 2*m. Let h(k) be the second derivative of q(k). Determine o so that h(o) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.191 and -0.0443.\nAnswer: 0.0084613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2 - 14256*w + 16936128 = 0. What is w?\nAnswer: 2376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6239 - -6236. What is the third smallest value in f, 0.26, 0.17?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195.8565 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/5)\/(l\/(l**(-6\/5)*l))*(l**(2\/9))**10 assuming l is positive.\nAnswer: l**(64\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 3. Let v = -39 + 39. Determine h(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1.5807511\nAnswer: -0.31615022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.416 * 0.1\nAnswer: 0.0416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.41, -31, 1\/10 in ascending order.\nAnswer: -31, 1\/10, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(10)\/sqrt(2) + -4 - sqrt(5)) + sqrt(20)\/sqrt(4)*1 + 1))**2.\nAnswer: -54*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iccf. Give prob of sequence ifif.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 12*h + 27. Let v be f(11). Let z be (-75)\/(-9) - v\/(-24). Let b be (-6)\/z - 224\/(-12). Solve -b = 2*d + k + 3*k, k = -3*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 + 87 + 49*i - 163)*(7*i - 5*i + 6*i).\nAnswer: 392*i**2 + 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -4 - (49 - 37 - (0 - -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*f = 339*f + 1298. List the prime factors of f.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:17 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11 = -5*u, 0*u + 3*b = 4*u - 18. Suppose u*t + 3 = 4*t. Which is greater: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g = -9*g + 44*g - 11613. What is the highest common divisor of 196 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 509\/6 - 85. Suppose 4*m - 3 - 1 = 0. Which is the second smallest value? (a) w (b) m (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 237*i = 242*i - 140, 48 = 2*r + 4*i for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (259 - 257)\/((175\/(-105))\/(1\/45)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4198 = 2*k, -g - 7 + 4 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 - 74 - (-1 + -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (26 - 4) + 1 + 2 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/(q\/(q**(21\/4)*q)))\/q)\/(q**(-1\/46)\/q) assuming q is positive.\nAnswer: q**(761\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179\/4 - 45. Let r = -21 - -21.5. Let u = 2.5 + r. Sort f, u, 0.3 in ascending order.\nAnswer: f, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19900 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 4*d**2 + 11*d + 14. Give l(-5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*y + 30*y = -12*y - 378. Let u = 1351 - 928. Calculate the highest common factor of y and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -173*n + 282. Let x be z(-14). Suppose 252*f - 250*f = x. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*o**2 + 8*o + 522*o**4 + 23*o**2 + 1 - 524*o**4 + o**3 - 4*o**3 to the form y + h*o**2 + u*o**4 + w*o + n*o**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v + 5935 = 5*k, -4*k + 11846 = 2*v. List the prime factors of v\/15 + (-1)\/3.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aae24e (base 15) to base 13.\nAnswer: 18c378b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4725, 9451, 14193, 18951, 23725, 28515, 33321?\nAnswer: 38143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 593*d**2 + 2*d + 2. Let s(x) = -170792*x**2 - 577*x - 577. Give -1154*p(u) - 4*s(u).\nAnswer: -1154*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2093601 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 1000?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 218 = -68. What is the highest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0165 - 3.0265. Let g = 0.01 + o. What is the closest to -1 in -2, g, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/24*(-154)\/231.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 5:52 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = -60. What is the greatest common factor of d and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/22 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3577 - -101?\nAnswer: -3476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1271, -2541, -3811, -5081?\n\"Answer: -1270*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -541.23 - -546. Let i = h - -42.63. Let q = i - 35. Round q to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(7) + 0 - (sqrt(28)\/(sqrt(4)*1))**2.\nAnswer: -7 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -267 - -238.2. Let s = 25 + i. Let u = s + -1.3. Round u to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*v**4 - 90*v**4 - 14*v**4)*(8 - 8 - v) + v**5 - v**4 + v**4 + 7*v**2 - 7*v**2 - 3*v**5.\nAnswer: 71*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180034.22 + 1045530.\nAnswer: 865495.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3427a63 (base 11) to base 14.\nAnswer: b221d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i + 357 = 71*i. Let h(y) = -y**3 + 16*y**2 + 16*y + 3. Calculate h(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33256*d**2 + 31429*d wrt d.\nAnswer: -66512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -78, -169, -308, -501?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 4*c - 66. Let g be 2*6*(-88)\/c. Let q = g - -130. 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: Put -1, 8, -3, 9, -5, 308, -180 in increasing order.\nAnswer: -180, -5, -3, -1, 8, 9, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 156*h**3.\nAnswer: 3*h**3*(h + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 - 3*l**5 + 5*l**5 + (l - 2*l - 2*l)*(-4*l**3 + 4*l**3 - l**4) - 5*l**5 + l**5 + 5*l**5 - l**5 + l**2 - l**2.\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**32\/w)\/(w*w*w\/(w*w\/(w*w*w**(-3\/5))*w))*w**(5\/2)*w*w\/(w*w\/w**(-7)) assuming w is positive.\nAnswer: w**(251\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 495*q**2 - 4*q**3 - 24*q + 24*q + 3*q**3.\nAnswer: 3*q**3 - 495*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 14*l**2 - 31*l**2 + 6*l**2 + 15*l**2 - 1. Let o be y(-1). Suppose -13 = o*f - 4. Put -1, f, 5, -2 in descending order.\nAnswer: 5, -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - -1123?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l**5 - 9498*l**4 - 148545*l**3 - 856896*l**2 - 2111460*l - 1832400 = 0 for l.\nAnswer: -3054\/7, -5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 + -8 - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.16 (b) 1 (c) 146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.018 - 0.018. Let p = 1.4 + -5.4. Let a = p + -1. What is the second smallest value in a, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221661 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -303 - -336. Let m be (z\/10)\/((-294)\/(-3185)). Which is bigger: m or 35?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 + -242. Sort g, -5\/3, -0.04 in ascending order.\nAnswer: -5\/3, -0.04, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + sqrt(1900))**2 + (sqrt(5472)*-5 + sqrt(38))\/sqrt(2).\nAnswer: sqrt(19) + 1907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -11*a - 18. Let u be ((-1)\/(-2))\/(a\/(-12)). Is (-20 + -3)*-17*u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 12*g - 20. Suppose p + 3*p = 4*h + g, 4*h = 5*p - 22. Let v be 1 + 1*-1 + (-51)\/(-17). Solve 5*c = -p - v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/9)*k**(3\/10)*k*k\/k**(1\/14)*k**5 assuming k is positive.\nAnswer: k**(2137\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 178401 (base 9) to base 8\nAnswer: 331035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -26, -175, 0.2, -11, 0.4 in descending order.\nAnswer: 0.4, 0.2, 0, -11, -26, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-80)\/(-6) + (-2)\/(-3). Solve -o = -4*q - 2*j - j, 2*q - 3*j + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (428\/(-1605))\/((-4)\/(-30)*3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1007, -5, 5 in increasing order.\nAnswer: -1007, -19, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/11 - (-42)\/(-11). Let w(g) = -g**3 - 2*g**2 + 4*g - 3. Calculate w(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 23499?\nAnswer: -234a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1 - 1 + 17 + m. Let a = 12 + -12. What are the prime factors of u(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(196)\/sqrt(4))\/sqrt(7) - 4*(sqrt(7) - (sqrt(7) - sqrt(42)\/sqrt(6)*6))) + 5)**2*6.\nAnswer: -1800*sqrt(7) + 37950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19, 3653, 0, -4, 3 in increasing order.\nAnswer: -19, -4, 0, 1, 3, 3653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r - 184*r = -3712 + 310 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**2 + t + 19. What is q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 5*r**2 - r - 5. Let t be n(-5). Suppose 4*x = -2*b + 3*b - 6, x + 1 = t. Solve 3*o + b*o = 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 261*m - 2212. What is d(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/8, 50, 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165715 and 4301.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z. Let i be (-81)\/18*(-2)\/3. Let m(b) = -i*b**2 - b - b + 2*b. Calculate m(x(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 - 147 - 1035 + 218 + x**5 - 2*x**5 - x**5 + (2 - 2 + 2*x**3)*(-4*x + x**2 + 4*x) - 2*x**5 + x**5 + 0*x**5.\nAnswer: 2*x**5 - 964","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 2. Let c = 23251.5 - 23251. What is the closest to 3\/5 in b, c, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Suppose 5*g = 3*q + 151, -3*q = 5*g - v*q - 143. Suppose -g + 9 = -4*y. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201*k**5 - 7*k**2 - 6*k?\nAnswer: -12060*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 + 4*q - 2. Let d(h) = -3*h**2 + 3*h - 1. Calculate 3*d(x) - 2*o(x).\nAnswer: -3*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -81 (b) -2.3 (c) -6325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i - 11*i**2 + 8*i**2 - i**3. Give l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12300 + -21220011?\nAnswer: -21232311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 4\/4*-1. Is v equal to -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*c**3 - 85*c**3 - 5*c + c**5 + 35*c**4 + 1 wrt c?\nAnswer: 20*c**3 + 420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y - 17 = 65 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 16120 to the nearest 100.\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**19)**(-1\/59))**(-10))**(5\/7))**(-1\/12) assuming l is positive.\nAnswer: l**(-475\/2478)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 1459808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4.9. Let p = 0.43 - 0.03. What is the second biggest value in -5, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4619.5 to the nearest 10.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 10*b**3 + 99*b**2 - 109*b - 11. Let d(j) = -5*j**3 - 49*j**2 + 54*j + 6. Let l(c) = 11*d(c) + 6*r(c). Solve l(q) = 0 for q.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 93, 204, 359, 558?\n\"Answer: 22*n**2 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140224303 is divided by 4942.\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (4 + 2)\/3. Let y(g) = g + 2. Let l be y(i). Let w = 4 - -4. Solve -4*d + f = -4*f + 25, -2*f - w = l*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxgxgxg. What is prob of sequence gg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g + 2*q = 8, -5*q = -20. Suppose -56 = -4*w - 5*i + 7*i, g = -5*w + 2*i + 68. Calculate the smallest common multiple of w and 57.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -0.2 (c) -7476683\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313614 + 627227 - 313613 + 8*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -4 - 2) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 63073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219 + 145 + 18*x + 99*x + 10*x**2.\nAnswer: 10*x**2 + 117*x + 364","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1040169\/19 or 54747?\nAnswer: 1040169\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 9640342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -476, -1241, -2344, -3791, -5588, -7741, -10256?\n\"Answer: -i**3 - 160*i**2 + 54*i + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1221022054 - 0?\nAnswer: -1221022054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 10*q - 144. What is the hundreds digit of 7902\/q + (-12)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x + 217. Calculate m(-50).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11365 or 11330?\nAnswer: 11365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23121102 (base 5) to base 6.\nAnswer: -4241204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(25)\/sqrt(5))**2.\nAnswer: -90 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - -182. Is 49 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 7 in decreasing order.\nAnswer: 7, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u + 161 = 3*x, 4*x - 214 = -2*u. Suppose -x*d + 54*d - 10 = 0. Solve -3*b = h + 3, -4*h + 0*b + d = b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 2, 3.461276?\nAnswer: 3.461276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = j - 3, d = -4*j + 2*d + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9795456 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 2\/(-2))*-2. Let y be -2*1 + 13 + -10. Factor -y + 5\/2*h + 7\/2*h**z.\nAnswer: (h + 1)*(7*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((13 + 8 - 14)*(x - x - 2*x) + 4*x + x - 3*x + (1 + 0 + 0)*(4*x - x - 4*x))*(-6 + 0 + 1).\nAnswer: 65*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 19338216?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b + 1. Let w(n) = -4*n**3 - 2*n**2 + 3*n. Let o(x) = 5*m(x) - w(x). Calculate o(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1243*m - 669*m + 1003*m = -521*m - 270642 for m.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -3, 65.\nAnswer: -3, 44, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 2. Let k(d) = 9*d + 6. Suppose 0*n - 50 = 25*n. Calculate n*k(b) + 7*i(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -0.0326989 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -125*z - 3. Let j be i(-4). Let a = -3450\/7 + j. Find the common denominator of 1 - (1 - 110\/16) and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 525446 and 127542?\nAnswer: 397904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z + 704. Calculate h(66).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 204, 411, 616, 819?\n\"Answer: -a**2 + 210*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-10))\/((-12)\/(-90)). Do y and 13\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/24) - -2. Does 17 divide v + ((-6)\/(-1) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5705443?\nAnswer: 97, 131, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 73319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0) + (147 + 8)*1. Let h be (-3)\/((j\/224)\/(-13)). Calculate the greatest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*t - 15 + 4 = 0, 5*v - 4*t - 31 = 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-18 - (-7 + -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 296110945 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-11 - -12) + -12 + -1 + -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -230*p**2 - 3918*p - 128. Calculate b(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -276, -8, 16214 in descending order.\nAnswer: 16214, -8, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140\/3*n**2 - 5\/3*n**5 - 75*n + 230\/3*n**3 - 60 + 40\/3*n**4 = 0 for n.\nAnswer: -3, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20110 (base 8) to base 3\nAnswer: 102100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -337*f - 226*f - 4514 - 2893 - 239 + 32 wrt f.\nAnswer: -563","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*p**3 - 74*p**3 + 108*p**2 + 64*p**3 - 73*p**3.\nAnswer: -147*p**3 + 108*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 89463*z - 89463*z + 2*z**2. Let h(a) = 16*a + 2. Determine r(h(o)).\nAnswer: 512*o**2 + 128*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 + -232. Let n be 2\/(-16) - (-6)\/z*-2. Let j be n\/((-5 - -4 - -2)*-1). Which is the second biggest value? (a) j (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45 + 21 + 15)*(-21 - 142*m + 43 - 22) to f + i*m and give i.\nAnswer: 1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + l - 30 = 0, 3*l = -5*h + 12 + 38 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*t + 10, -h = -4*t - 0*t + 15. Suppose -t*i = -6*i - 110. Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -632527*z - 3162631. What is n(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 45, -7286, -0.3, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 39*q + 230. Let g(d) be the second derivative of d**4\/6 + 5*d**3\/6 + 3*d**2\/2 - d. What is the least common multiple of c(44) and g(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14927 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*m - 6, 1 + 0 = -k - 2*m. Suppose 3*g + 3*v - 18 = 0, 5*g - v = 6 - 0. Suppose a - 3*t - 6 = g*a, k*a + 4 = -2*t. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-15\/7)\/y*y)\/(y**(-2)\/y)*(y**10\/y)\/y*y**(3\/4) assuming y is positive.\nAnswer: y**(297\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11*-0.4\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 121863 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2 = 2*k - 4, 10 = -3*t - 2*k. Let a = 5 + t. Let q be ((-33)\/21 + 2)\/a. Put 0, q, -2\/9 in decreasing order.\nAnswer: q, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (898 + 899 - 25678*p - 2700 + 127065*p + 903)*(-p**2 - p**2 + 3*p**2) in the form d + s*p**2 + t*p**3 + l*p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 55*c + 2831. Determine b(-52).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 2074*m.\nAnswer: 2*m*(m - 1037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + (-1 - -4) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 3*c = -8, -c = 2*m - 8. Suppose 2*x + 4 = -t + 4*t, -4*t + 8 = -m*x. Suppose -u + r + 34 = -2*r, x*u - r = 147. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -1.57.\nAnswer: -0.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3745.\nAnswer: 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 2. What are the prime factors of (-34)\/r + 2\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 4, -17 in increasing order.\nAnswer: -17, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.284 and -9481.\nAnswer: -9480.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141673807614 less than 0.514?\nAnswer: -1141673807613.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/8, 2, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 - 1.33. Let v = -3.8 + n. What is the third biggest value in 3, v, 11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*15\/270*30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*u**2 - 63*u**2 + 23*u**2 + 122*u**2 to p*u**2 + w*u + x and give p.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7536\/(-198) + (-136)\/(-2244).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 86.9. Let g = z - -2.3. Which is the fourth smallest value? (a) 0.04 (b) g (c) -5 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4236, 4, -0.03, 6\/5, -1.8, -1?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -923 - -941. Calculate the greatest common factor of 48 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*s**3 - 3*s**2 + 3*s**2 + 174*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (24\/20)\/(((-2)\/5)\/1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:01 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5)*(-4545)\/(-62721)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = 0, -f - 2*f = -4*w + 30. Let i(m) = 129*m + 3 + 132*m - 257*m + m**2. Let a be i(f). Which is bigger: a or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1872) + 0)*4)**2 - ((sqrt(1872) - (1 + sqrt(1872)))*-6 + 3 + sqrt(1872)*-1)**2.\nAnswer: -1704*sqrt(13) + 28399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-804)\/9)\/(6\/4) - (-28)\/(-63)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 255.4 + -295. Let y = b - -33. Let n = 11.9 + y. Round n to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*y**4 + 35*y**4 + 7*y - 15*y**4 wrt y?\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3255088 is divided by 2272?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 288 = 144 + 148. Let d = -4 + 12. Solve 2*c - 3*l - d = b, -5*c - 4*l = -11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4de3b - -14?\nAnswer: 4de50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*k - 5592, -32*p + 27*p - 2*k + 9352 = 0. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + -3 - (6\/(-45) - (-2260)\/75)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426417.\nAnswer: 3, 19, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 at least as big as -3373\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-14)*(-1302)\/(-62). Which is the closest to g? (a) -2 (b) -2\/3 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by 4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20, 85, 194, 347?\n\"Answer: 22*p**2 - p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d04 - -44b?\nAnswer: -897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**2 + 7*m - 4. Let a be r(4). Let d be 2\/4*(-362 - 0). Let j = a - d. Is j a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5)*4 - (sqrt(13) + -5 + sqrt(13)*-2).\nAnswer: 5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j**3 + 199*j**2 + 516*j + 10226. Determine q(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1097*h + 1794 - 697 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of (3 + -4)\/((-7)\/10577)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34846, -69678, -104510?\n\"Answer: -34832*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3734*p**5 - 3*p**4 - 29*p**3 + 1428*p**2 + 3*p - 1187?\nAnswer: -224040*p**2 - 72*p - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.05 + -72975480\nAnswer: -72975478.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -125. Suppose -67*f = -o*f + 10. Put -4, f, -18, 1 in decreasing order.\nAnswer: 1, f, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.8. Let f = -2467058\/5 + 493412. Which is the nearest to 0.1? (a) f (b) s (c) -8 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = c - 3 + 11, 5*c = -5*x - 10. Let m = x - 1. Sort m, 4, 0 in increasing order.\nAnswer: m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(220))\/(sqrt(20)\/sqrt(4)*-3))**2 - (sqrt(44)\/sqrt(4)*-5 + (sqrt(11) - 5*-3*sqrt(11))).\nAnswer: -11*sqrt(11) + 704\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54518 + 6*u**2 + 54518.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 4, f: 7, r: 3, w: 1}. Give prob of picking 2 b and 1 f.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -5a09?\nAnswer: 5a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.019 - 2.519. Put 462, x, -2 in decreasing order.\nAnswer: 462, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 14*d - 3. Let x(z) = -z - 1. Let g(c) = -68*c + 409. Let v be g(6). Determine v*t(i) - 3*x(i).\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-38)\/((-912)\/39)*(-12)\/(-26))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1380 = 4*t, 3*q = -t - t + 1050. What are the prime factors of q?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 27*l**5 + 19785*l**4 + 210981*l**3 + 635103*l**2 + 335580*l - 108300 = 0.\nAnswer: -722, -5, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-3 + 4 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -81*d + 17. Is u(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4786*t**3 - 4789*t**3 - 31 + 84 + 14365*t**3 - 4793*t**3.\nAnswer: -3*t**3 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - 0.1. Let w = -0.04 - 0.06. Let f = -2.9 + w. Which is the third smallest value? (a) f (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, p: 5, e: 3, a: 2, q: 3}. What is prob of picking 1 a, 1 e, and 1 d?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(13 - (-1)\/1). Let b(z) = 2*z**2 - z**2 - z - 2 + m + 5. Calculate the remainder when b(0) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171611 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 37*g + 870 = 0. Calculate the common denominator of -15\/23 and (11\/(-110))\/((-8)\/g).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 1. Let b(z) = 18*z - 20. Let x(i) = -3*b(i) + 24*y(i). List the prime factors of x(-5).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than or equal to -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, -0.12, -1\/6, 2 in ascending order.\nAnswer: -129, -1\/6, -0.12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 2. Let p be h(1). Let f be (p\/5)\/(1\/5). Solve 3*a + f = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8284300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 293233387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*b - 8*b + 14, 0 = -4*m + 5*b - 6. Let o(s) = 22*s + 3. What is the tens digit of o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0.15, 3, -5, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcpp. Give prob of picking 3 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 1. Let k be j(1). Let l be (-3 - 30)\/3*2. Let p = -25 - l. Is p <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 4. Let p = -31 - -33. Calculate the smallest common multiple of m(4) and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1448 + 1646. What is the greatest common factor of m and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19472 in 118, -5, 0.06?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13\/2 - 1\/2*c**2 + 6*c = 0. Calculate c.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4765194877 to the power of 1\/3, to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:03 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 5*k - 2*k + 4*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -140, -514, -1138, -2012?\n\"Answer: -125*u**2 + u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 0 + 0*p**3 + 3\/5*p**5 + 17*p + p**2 + 5\/4*p**4. What is the third derivative of n(c) wrt c?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -465582828 + 1?\nAnswer: -465582827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*(-33)\/(-4158))\/((-8)\/96)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 2:15 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1 - 18*n**2 + 0*n - n + 17*n**2. Let x(m) = 5*m**4 + 4*m**2 + 4*m + 10. Let z(d) = 4*o(d) + x(d). Find the first derivative of z(k) wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.800726 millilitres in litres?\nAnswer: 0.009800726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**4\/4 + 5*d**3 - 25*d**2\/2 + 7*d - 12. What is the units digit of g(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, -65, -131, -233, -377?\n\"Answer: -o**3 - 9*o**2 - 2*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 12*v + 7. Give d(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*5*5\/15. Let l(c) = 0*c + 3*c - 2*c - t*c. What is the units digit of l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -46, -44, -40?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) 0 (c) 3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 88*d - 9. Let y(j) = j**2 + 89*j + 7. What is -3*n(f) - 4*y(f)?\nAnswer: -7*f**2 - 92*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -496*n + 332*n - 661*n as d*n + g and give d.\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 12) in base 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 240, -3\/5, 1\/5 in decreasing order.\nAnswer: 240, 1\/5, 2\/11, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 5\/12*y**4 + 1\/6*y**3 + y**2 + 0 + 1\/20*y**5 + 2*y. Let j be v(-5). Are j and -3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30160780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9178137563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15675 = -27*r - 3741. Suppose -27*m - r = -40*m. What is the remainder when 95 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189791 and 202634?\nAnswer: 26950322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - w = -3, 5*x - x - 17 = 3*w. Let z(s) = -2 - 6*s + 4*s - 2. Let i(o) = 3*o**2. Let v be i(-1). Let r(b) = 2*b + 5. Calculate v*z(h) + x*r(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/9 (b) -0.065 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77789195 by -7071745.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 315046 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvy when four letters picked without replacement from yyvvvvvvyvvvvvyvvvv.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-207)*72\/3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 106, 4.3, 4\/3, 1\/8 in ascending order.\nAnswer: 1\/8, 4\/3, 4.3, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 10085\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 36*l**2 + 262*l - 19. Give g(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/35)\/3)\/((-4)\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + -2)**2 - sqrt(1216)) + 1 - (4 + sqrt(2299) + -1).\nAnswer: -51*sqrt(19) + 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7230\/133 >= -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(51)\/(sqrt(3) - (sqrt(12) + sqrt(3))).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -106 - (301 + -234 + -49)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of (-13 + 7 + 5)\/(1 + 6280\/(-6276))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*t - 643*t - 12 = 2*y, 3*y = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1380000, -2759957, -4139914, -5519871?\nAnswer: -6899828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 8*o + 6*o)*(10 - 6 - 15 - o**2).\nAnswer: -13*o**3 - 143*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -142, -138, -132, -124?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17958*t + 1577*t + 22*t.\nAnswer: 19557*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 257837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2)\/(2 - 1). Let a = 9 + 13. Let z = a + -21.6. What is the closest to z in -4, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -14*i. Let p(k) be the second derivative of 1\/6*k**4 + i*k**3 + 0*k**2 + 0 + 2*k. Let g(s) = s**2. Calculate p(g(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029906998341 to seven decimal places.\nAnswer: -0.0029907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 minus 0.04?\nAnswer: 30.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*g - 4*g. Let d(m) = -9*m**3 + 5 + 0*m**3 + g*m**2 + 2*m**2 - 9*m + 13*m. Let h(q) = -5*q**3 + 3*q**2 + 2*q + 3. Give -3*d(o) + 5*h(o).\nAnswer: 2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 31*t - 32*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*x - 2*f + 26, 3 = 4*f + 3 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4)*d)\/d)\/d**(-22)*d\/d**(-2\/3)*d*((d\/(d*d\/((d\/(d\/(d*d**(-14\/3))*d))\/d*d*d)))\/d)\/d)**(-5\/9) assuming d is positive.\nAnswer: d**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 2*u**7\/21 + 106*u**6\/15 + 337*u**5\/5 + 703*u**4\/3 + 1204*u**3\/3 + 368*u**2 + 195*u + 4. Factor p(v).\nAnswer: 4*(v + 1)**3*(v + 4)*(v + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 187413 - 8?\nAnswer: 187407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 29175004?\nAnswer: -5\/29175004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:36 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*z - 5*m + 2, -3*m = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 574*y + 9620 + 5878 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 196685782 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**3 - 375460*r**2 - 2253020*r + 6007840 = 0?\nAnswer: -8, 2, 75098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 + 5. Let q(h) = -5*h**2 - 6. Let f(j) = -6*c(j) - 5*q(j). Suppose -2*t = -6*t + 16. Let i(y) = 2*y + 0*y - t*y. What is i(f(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3077 - -3075. What is the closest to 20 in 0, n, 2\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36094422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/(2\/(-9)). Let x(s) = -2*s**2 - 3. Let d(y) = y**3 - 4*y**2 - 5*y - 11. Let a(c) = d(c) - 3*x(c). Determine a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(76) - (sqrt(95)*-2)\/sqrt(5))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3702 + 5426. List the prime factors of m.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 131*z + 681. What is x(-11)?\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 6*m**2 + 3. Let d be k(-6). Suppose -x - d*x + 20 = 0. Suppose x*f - 19 = -4*o, -11 = -o - f + 6*f. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11298812.\nAnswer: 2, 7, 17, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1.06 (b) 2\/15 (c) -2 (d) 0.2 (e) 5 (f) 4.6 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 64 = -6*r. Let u = 18 - r. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(85) - sqrt(85))*-5)\/(sqrt(5) + (sqrt(20)\/(sqrt(4) - sqrt(484)) - sqrt(5)) + sqrt(5) - sqrt(5))*-2.\nAnswer: -900*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - 23?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 = -3*i, -i = -5*i + 4*f. Let o(t) = -t**3 + 4*t**2 + 7*t - 7. Let p be o(5). Let k be p\/(i\/2) - 3. Solve k = -h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4022 and -459?\nAnswer: 460.4022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/10)\/(2\/(-80))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2955094?\nAnswer: 2, 1477547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 186 = -12*w, -3*p + 72703*w - 72697*w + 102 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 703 divide 23756479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95644955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 3*t)*(t**3 - t**3 + 2*t**4) + 6*t - 6*t - 5*t**5 + (0*t + 0*t - 2*t**2)*(-25*t**2 + 11*t**2 + 16*t**2)*(-5*t + 3*t + 3*t).\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(3\/16))\/(d*d**22) assuming d is positive.\nAnswer: d**(-355\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(12\/24).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 15, z: 3}. What is prob of sequence hzhh?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -665*i**4\/2 + 2463*i + 3547. Differentiate b(q) with respect to q.\nAnswer: -3990*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 2 (c) 2\/11 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - y**2 - 93*y + 525. Calculate f(6).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 - 165.175. Let r = p - -0.175. Which is bigger: -84 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 79254*n**2 + 79254*n**2.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 1\/2 (b) -0.3 (c) -18 (d) -10.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 60807.33mg?\nAnswer: 60.80733","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sum -3400605104 and -26558.\nAnswer: -3400631662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from pppppxpxpxppppppppxp.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 11) in base 7?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 5:57 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-126)\/(-93)*(3 - 5). Let i = k - -733\/465. Find the common denominator of i and -53\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -98*p**5\/15 - 161*p**4\/3 - 278*p**3\/3 - 164*p**2\/3 - 40*p\/3 + 80. Let z(k) = 0. What is k?\nAnswer: -5, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722 is divided by 169.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 1 = -5*z. Suppose 2*d + 8 = z*d. Let n(v) = -2*v**2 - 3*v - 3. Let r be n(-2). Sort 3, d, r in increasing order.\nAnswer: r, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnmmnnnnmmnnnmnnmn. Give prob of sequence mnm.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 7*r + 4. Let t be o(-7). Let n(y) = -y**3 + 4*y**2 + 2*y - 5. Let g be n(t). Calculate the remainder when 50 is divided by 19 + 1 - (g - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-20)*(-12265)\/446?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89944199 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 1. Let v(k) = 4*k**2 - 4*k + 4. Let d(i) = 3*q(i) - v(i). Suppose 0 = -7*o + 3*o + 32. Let s = 12 - o. Calculate d(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = 3*d - 2, 0 = -4*d - 8. Let o be (-3)\/(5 + r) + 5. Factor -m**3 - 1 - 4*m + o*m + m**2 + m.\nAnswer: -(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 8}. Give prob of picking 1 l and 1 i.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -628491\/117334 + -6\/8381. What is the common denominator of h and 1\/(-3) + 5\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2\/5 - 42*d\/5 = 0. Calculate d.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 4, j: 8, v: 3, b: 1}. What is prob of sequence rb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, -5, 0.\nAnswer: -5, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6\/5 (b) 3 (c) 0.5 (d) 9\/7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 6*j**2 - 10*j + 12. Let h be b(8). Suppose -p + 5*v + 69 = 0, -p - v = 3*v - h. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -17*c**6\/120 - 13*c**5\/30 - c**4\/3 + 4474*c**2 - 2. Let r(f) = -11*f**3 - 17*f**2 - 5*f. What is 5*l(v) - 8*r(v)?\nAnswer: 3*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 159501*o**3 + 15*o + 3*o**2 - 5*o**2 + 2 - 159502*o**3. Calculate r(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238098 greater than 238097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 3323509281.\nAnswer: -3323509280.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00056967046 rounded to five decimal places?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5568 - -5690. Calculate the remainder when b is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -4, -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-156)\/(-728) - (-2)\/56. Is j < 2094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + -6b6?\nAnswer: -6a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44\/7)\/22 - 26\/(-7). Solve s = m - q, -m = -4*s + 15 - 31 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(2 + -33) + 2. Suppose -2*z - 11 = q, -r = -3*q + 6*q - 3*z. Let b = q + 42. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11061577 divided by 5\nAnswer: -11061577\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.11 + 0.11. Let g = 19 + -30. Let f = j - g. What is the second smallest value in -1\/10, f, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 41. Suppose 0 = 9*w - n*w. Let b = -57\/784 - -1\/98. Which is bigger: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 36 = -b. Suppose 6*m - 648 = -4*h + b*m, -3*m = 5*h - 810. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 11*t**2 - 3*t + 3. Let z be u(-5). Let b be 76\/28 + (-2)\/z. Suppose y + 1 = 4. Solve y*c + 1 = -4*p + 14, -b*c - 23 = -5*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*l - 39, 4*l + 18 = 5*b - 0*b. Let x(s) = s**2 + 3. Let t(g) = 11*g**2 - 36*g**2 + 10 + 32*g**2 - 3*g**2. Calculate b*t(m) - 20*x(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4901 times 47068?\nAnswer: -230680268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)\/q**9)\/(q*(q\/q**(2\/7)*q)\/q)**(2\/53)*(q**(-1\/4))**(-15)*(q*q**(-2)*q)**38 assuming q is positive.\nAnswer: q**(-26629\/4452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g + 46. Let h = g + -14. Let c = 15 - h. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133.6 * -3.\nAnswer: -400.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.294958 + -2.075422. Round r to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10}. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30140*y = -30095*y + 405 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, g: 3, e: 1}. What is prob of picking 1 g and 1 y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 54732381*k - 54732382.\nAnswer: (k - 1)*(k + 54732382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 335423 + -194?\nAnswer: 33528f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -t - 80. Suppose -t = -4*x, z + 8 = -3*x + 7*x. Solve 0*r + z = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*w**3 + 1401623 - 1401623.\nAnswer: 108*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 j, and 1 y when four letters picked without replacement from {j: 2, y: 1, z: 1, u: 2, f: 6, p: 3}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(9)\/sqrt(3) - -3*(sqrt(3) - sqrt(6)\/sqrt(2)) - sqrt(27)\/(1*sqrt(324)) - (sqrt(48)\/(sqrt(12)\/sqrt(3)))\/(5*(sqrt(4) - sqrt(36))).\nAnswer: 89*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = n - 151, 2*g + 5*n + 82 - 200 = 0. Let p = g + -29. Suppose -5*j = 5*o - 50, -3*j + 44 = 5*o - j. Calculate the least common multiple of o and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**2\/2 + 252*v - 4440 = 0?\nAnswer: 20, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -111c?\nAnswer: -1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.644 + 0.356. Let s = 4 + -1. Which is the closest to 0.03? (a) -0.2 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-163*y**2 + 80*y**2 - 219*y**2 - 131*y**2).\nAnswer: 866*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260763453.\nAnswer: 3, 2683, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + -2 + (2 - 2). Suppose -2*o = 2*o + b*w + 1, -w + 25 = 5*o. Solve -o*s + 16 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10662 = -256*s + 5164 - 4818 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/15, -9\/5, 0.5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, 257, 5 in increasing order.\nAnswer: -7, -4, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 360 = 4*z - z, 3*r + 5*z + 352 = 0. What is the common denominator of 113\/28 and 2\/8 - r\/(-196)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/60)\/(2\/(-36)*-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.61 + 0.11. Let t = 1.7 + f. Which is the biggest value? (a) t (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128408*z + 31103*z - 64727*z + 14678*z.\nAnswer: -147354*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 35 = -4*s. Let t = 292 - 173. Suppose -q + 133 = 5*l, 0*l - s*q + t = 4*l. 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: Is 5666 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -1) + 0 + (2 - -5) + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -q + 3*y, 7*y - 11*y + 21 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 13*f - 5. Let o be 7\/7*(7 - (-2)\/(-1)). Let x(y) = y - 17. Let k be x(o). What is the remainder when 12 is divided by h(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 6 - (-168)\/34) + 15\/255?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + ((-20)\/(-176))\/(5\/(-930))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -540 + 545. Suppose -7 = 3*n + u*x, -3*x - x - 11 = -3*n. Solve 2*i - n + 7 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -24*i**2 - 159*i + 699. Give t(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(2*-6))\/(((-1045)\/22)\/19)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12879038.2 rounded to the nearest ten thousand?\nAnswer: 12880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 235440917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*z**4 - z**4 - 4*z**4 + (4*z - 4*z + 2*z**2)*(-4*z**2 + 2*z**2 + 0*z**2) + z**4 + 2*z**4 - 2*z**4 - 4*z**2 + 4*z**2 - 2*z**4.\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151.05 - -19.55. Round w to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8587 or -8.486?\nAnswer: -8.486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 11. Is -3 - ((1 - 26) + p) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10000\/3)\/(-1)*-9. Round d to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7852b6 (base 13) in base 15?\nAnswer: -3b12c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3250 + 380. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5636*s + 12018?\nAnswer: -5636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.3. Let t = 3.2 - 5. Let m = t + 1.4. Put m, -2\/17, h in decreasing order.\nAnswer: h, -2\/17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 - 8 = 28*l + 5*a, 0 = -l - 3*a + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 9*b**2 + 13*b - 11. Let t be s(-7). Let i be (((-36)\/3)\/2)\/(8\/t). Solve 0*d - 7 = i*n + 2*d, -16 = -n + 3*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (22 + 3)) + 5 + 0 - 23?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 126112?\nAnswer: -3\/9008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 67?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/4 + (-18537)\/(-396))\/((-6)\/9). Is -70 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 74*f**2 - 230 + 119 + 85*f**2 wrt f.\nAnswer: 318*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 + -1000?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7475 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -25*n**2 - 2*n + 5. Let v(g) = -48*g**2 - 4*g + 9. Give 5*l(t) - 3*v(t).\nAnswer: 19*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.6 - 2995.\nAnswer: -3022.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = -n + 10, 0 = -2*n + 3*c - 15. Let l be (-18)\/(-5)*(5 + n). Find the common denominator of 0 + (1 - 363\/l) and 33\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/60 + q**4\/8 - 5*q**3\/6 + 2*q**2 - 31. Let v = -1 - -3. Suppose -d + v*w - 2 = -0*d, 2*d + 5 = 3*w. What is i(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*i**2)*(-9369*i**3 + i + 19 - 9372*i**3 + 18755*i**3).\nAnswer: 28*i**5 + 2*i**3 + 38*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 65.9.\nAnswer: -66.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:26 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1 - 3 - 4*b + 1. Let i = 11 - 12. Determine m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a3 + -6580ab?\nAnswer: -658381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 2 = -8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 48*s**2 + 94*s + 2400. What is v(-48)?\nAnswer: -2112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 4838?\nAnswer: 4828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33264 + -33269. Put v, 96, 3, 0.5 in descending order.\nAnswer: 96, 3, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 9*b = -g + 1, 0 = g + 3*b + 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 + 20*i**2 - 6*i. Let p(s) = s**3 - 7*s**2 + 2*s. What is 6*a(w) + 17*p(w)?\nAnswer: -w**3 + w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 35 - (-2 + 0 + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0) + -2 + -39 + 33\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.614 rounded to zero dps?\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 12*f + 20. Does 16 divide o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44137134 - 31582620 = -211*i + 90416793. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = 4*w, -2*w - x - 8 = -3*x. Sort w, 2, -1 in decreasing order.\nAnswer: 2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -262, 10, 4, 3073, -4 in ascending order.\nAnswer: -262, -4, 4, 10, 3073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/44 (b) -1\/3 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 100353, 100351, 100349, 100347?\n\"Answer: -2*o + 100355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -111\/5 + 22. Which is the nearest to -0.1? (a) -4 (b) -1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1165*m + 5532*m + 12133*m + 12987*m + 38098*m.\nAnswer: 69915*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 310079, -3 in decreasing order.\nAnswer: 310079, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 35433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z + 19 - 28 + 18. Let i be c(6). Suppose -3*r - d + 259 = 0, -i - 103 = -2*r - 5*d. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161 + 170. Let t be (-22)\/(-30) + ((-39)\/n - -4). What is the second biggest value in -1\/3, t, 50?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, w: 1, r: 6, i: 1, e: 1}. Give prob of picking 1 r and 1 w.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(2\/5)\/i))\/i)\/(i*i**(-5\/7))*(i\/(i\/i**(-3\/5)))**(-33) assuming i is positive.\nAnswer: i**(739\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-18\/5)*(r\/(r*r*r*r**(-2\/5)))\/r assuming r is positive.\nAnswer: r**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9164 or -9166?\nAnswer: -9166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 0. Let c(m) = -m**3 - 3*m**2 - 2*m - 4. Let i be c(-3). What is the greatest common factor of a and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-5*a + 2*a + 9*a)*(-3 - 1 + 2)*((-1 - 1 + 0)*(-2 + 1 + 2) - 7 + 0 + 2).\nAnswer: 168*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from dddddldvdldvvdddd.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2066*w - 2064*w - 326794. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 19 = -4*b. Suppose b*m - 6*m = 1326. Let h = -106 + m. Let o(v) = v**3 + 6*v**2 + 7*v + 5. Determine o(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*z = 30, 4*y = 4*z - 31 + 111. Let k(x) = -3*x + 21. Let c be k(7). Solve -4*t + 9*t + y = c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 - 2*b**2 + 4*b**2)*(3 - 5 + 0) + 194*b**2 - 173*b**2 + 10900 - 10899 + 1599*b**2.\nAnswer: 1624*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12318073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.5, -0.4, -3863?\nAnswer: -3863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000308 divided by 156?\nAnswer: 25643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1)*16\/8. Suppose 3*b + 4*z = 6, 2*b + 4*z - p = 6*z. Solve 0 = 2*g - 3*j - 11, j + 0*j - b = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 6 = 4*o, 7177 = -4*o + 7181 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 7*h - 2*t + 194, -5*h - 4*t = -324. Calculate the highest common divisor of 1088 and h.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + x + 2*x + 12, 5*r = 4*x + 11. Let g be -30 - (r - 4) - -2. Let k = -9 - g. Find the common denominator of k and -111\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123809844203363\/8188283190 - -2\/272942773. Let p = -15115 - m. Find the common denominator of p and -1\/16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2*p)*(p**3 - 2*p + 2*p) + (1 + 0 + 0)*(-12*p**4 + 14*p**4 - 3*p**4))*(-2 + 23*p - 2 - 20*p).\nAnswer: 3*p**5 - 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 795 - 229. List the prime factors of p.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.43 * -0.000079\nAnswer: -0.00011297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 20*u - 583. Let w(f) = -19*f + 588. Calculate -11*w(k) - 10*z(k).\nAnswer: 9*k - 638","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*q + 3*q - 15 = 0, -5*q = -5*k. Let w(m) = -m - 1. Let u be w(k). Let z = 263114 - 263112. Solve u*t = -o - 4, -4*o + z*t - 16 = -t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -748555588693 from -0.045.\nAnswer: 748555588692.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = -6. Let h(q) = 4*q + 27. Let f be h(-7). Let w be 1\/((1\/(-1))\/(-5)). Sort w, f, p in decreasing order.\nAnswer: w, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 48 = o + 5*h, 5*o - 3*h - 80 = 0. Suppose 0 = -5*z + 5*v + 85, -2*z + 28 = -0*z + 4*v. What is the highest common divisor of z and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 at most as big as 315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3\/5 + 7188*d**2\/5 - 4305612*d\/5 + 859687196\/5 = 0. What is d?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 16*k + 16. Calculate t(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1279.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(-2\/61)*z*z))\/z*z**(-3\/11)*z assuming z is positive.\nAnswer: z**(-2174\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22848.6573 minutes in weeks?\nAnswer: 2.266731875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/10*(-70)\/(-6930)*165?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t*t)**(-31)\/((t**(-5)*t)\/(t*t*t**11*t)))**29 assuming t is positive.\nAnswer: t**1421","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14983 is divided by 172.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 3 - q + 8 + q.\nAnswer: -8*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 303264 a multiple of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-22)\/(-60)*-3 + -2 and -83\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 u, and 1 e when four letters picked without replacement from {n: 3, e: 1, v: 2, u: 1, s: 5, h: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/5 - 157749*y**2 - 1577499*y\/5 - 788751\/5.\nAnswer: 3*(y - 262917)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 26 - 111*i - 36)*(-1 - 3 + 6).\nAnswer: -222*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (412\/16)\/(1\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2643920008.2 - -2643915042.1996026. Let z = p - -4966. Round z to 5 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 25*c**2 - 1. Let g(s) = 26*s**2 - 1. Calculate -3*g(o) + 4*n(o).\nAnswer: 22*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*i + 2*c, 5*c = 48*i - 51*i - 12. Sort 0, i, -7 in descending order.\nAnswer: 0, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*k - 1)*(3 + 11 - 4)*(45 - 29 - 42) + (k + k - 3*k)*(2 + 2 - 5).\nAnswer: 781*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517371627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*x = -k + 1203, 5*k + 1585 = 4*x. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.60392nm to kilometers.\nAnswer: 0.00000000005460392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 74\/564911 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 20*f**3 + 51*f**2 - 44*f - 27. Let c(m) = 231*m**2 + 220*m**3 + 258 - 553 + 329*m**2 - 485*m. Let s(t) = 6*c(t) - 65*k(t). Factor s(q).\nAnswer: 5*(q - 1)*(q + 3)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j**2 + 3*j + 1. Let p be y(-2). Suppose -3*r - 5*z - 33 = -8, -2*z = -p*r + 10. Solve 0 = -q + 3*n - 16 + 1, -2*q + 2*n - 14 = r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 r when three letters picked without replacement from {y: 1, f: 6, r: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 115. Which is the third smallest value? (a) i (b) 2\/3 (c) 0.3 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 2, k: 1, x: 1, r: 1}. What is prob of sequence uvk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 392 = -33*d + 34*d, 3*d - z - 1154 = 0. Is 96 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-96)*6\/21?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(((-9)\/(-36))\/1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247.3108 + 0.0892. Round x to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5920 + 5920 + 44*t + (-1 + 1 - 3)*(t + 0*t + 0*t).\nAnswer: 41*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26769 + 26792.038. Let z = 23 - n. Let f = z + 0.0471. Round f to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 16. Let o be 252\/(-27) - 1\/(-3). What is the remainder when 49 is divided by n(o)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1437*c + 690 = -1422*c. What is the remainder when 339 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + y - 3*y + 25 = 0, -2 = n - y. Solve -n*m - 5*h = -8 - 4, 4*m - 2*h + 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18153042 take away -21764826?\nAnswer: 39917868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*f = 1 + 3, -5*i + 4*f = 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(2*g - 4*g + 7*g)*(-4*g + 3*g + 3*g).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 2)\/(6\/(-21)). Suppose -4*u = 5*w - 40, -6 = -4*w - 4*u + 30. Suppose w*c - i*c + 15 = 0. What is the third smallest value in 0.04, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 4. Let u be a(-3). Let f = -192 + 1539\/8. Which is greater: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*r - 1. Let k be 21\/49*74\/3. Let l = k + -62\/7. Which is bigger: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7378392, -14756787, -22135182, -29513577, -36891972?\n\"Answer: -7378395*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*r - 8 = 0, 4*r = -23*b + 19*b - 32 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 7:31 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -75*y**4 - 365*y**3 + 78*y**2 + 132*y - 40 = 0.\nAnswer: -5, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 15*i + 330. Let z = -43 - i. Calculate the highest common factor of 207 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013439 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 1.39.\nAnswer: 11.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -c + 31. Let d be 204\/c - (-6)\/(-14). Let k(i) = 7*i + i - 3*i + 2 - i**d - 3*i. Calculate k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/691467 and -10\/327537.\nAnswer: 6223203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4774 + 1197 + 1180 + 1183 + 1164 + 6*q.\nAnswer: 6*q - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 5:57 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 8}. Give prob of sequence he.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 6*x**2 + 13*x + 5. Let q(d) = -2*d**2 - 9. Let m be q(0). Is r(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-31 - 22 + 0)*(6*v**2 - 4*v**2 - 3*v**2).\nAnswer: 53*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -i + 4*w, -332*w = i - 337*w + 22 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 2}. Give prob of sequence mm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 17*w + 9. Determine a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 11*x - 25. Suppose 3*h - 6 = 0, 4*f + h + 12 = -26. Let w be q(f). Let u be (-30)\/9*w\/20*6. Put 5, 0, u in decreasing order.\nAnswer: u, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*u - 84 = 95*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 0 (c) -2\/25 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 21*o = -15*o + 12 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 4*p - 12. Let y(b) = b**2 - 4*b + 2. What are the prime factors of y(p)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**3 - 389*b**2 + 6762*b - 723. Give g(26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + g - 1. Let y = 7944 + -7943. Let h(o) = -o**3 + o**2 + o - 1. Calculate y*h(j) - k(j).\nAnswer: -j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/239 - -2167\/956. Calculate the common denominator of 9\/70 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9*2*(-33129)\/(-12270)*55.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 + 139. Suppose 2*o - 42 = -j, b + 2 = -2*j. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = 400. Suppose 0 = -d - 4*t - 23, 5*t + 48 = -3*d + 14. Let n be (4\/d)\/(2\/(-30)). What is the greatest common divisor of n and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 14*m**2 + 6*m + 12. Let k be s(-14). Let y = k + 513. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14272 and 1338.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*u - 22*u + 27*u)*(-573*u + 203*u - 746*u - 775*u).\nAnswer: -58621*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 196991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 505519151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q - 848 = -9*q + 23*q for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 14 = -3*v. Solve u + 0*w = -4*w, 0 = 4*u + 2*w - v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 73. Let v be 1*((-4)\/(-30) + n\/(-30)). What is the units digit of (-16)\/(v\/(2 - -10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 134151 and -29?\nAnswer: 134180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2. Suppose -43*i + 15 = -38*i. Let v(d) = -14*d**2 - 3. Let n(q) = 29*q**2 + 7. Let a(g) = i*n(g) + 7*v(g). What is b(a(w))?\nAnswer: 363*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(-21 - 62\/(-6)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 5*i**2 + 2*i - 5. Is k(4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(sqrt(11) + -1)*-1*-3)**2 - (-1*(-2*sqrt(11)*4 - sqrt(11)) + -5 + ((-2*sqrt(176))**2 - sqrt(11))).\nAnswer: -4058*sqrt(11) + 23601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 2}. Give prob of sequence xx.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**3\/3 + 2*p**2 + 2*p - 5. Let n be j(3). Solve -2*l - 10 = 0, n*l = 2*w - 27 - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.44 + -0.04. Let i be (1\/18)\/(61\/(-3660)*-10). Which is the nearest to 7? (a) s (b) -1 (c) -4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2041 or -2047?\nAnswer: -2047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 267847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23308404 divided by -8951\nAnswer: -2604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482 = 27*i + 24*i - 487 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 2*g + 2. Let l(p) = 2*p**3 - 2*p**2 - 3*p + 3. Let b(q) = 2*l(q) - 3*y(q). Give b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 991 + 464. Let w = g + 652. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + s**2)*(-6 + 6 - 10*s)*(30 - 99 + 27) to the form l*s**3 + d*s**2 + w*s + c and give l.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4286512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 14*c + 7*c + 5*c.\nAnswer: -2*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1969*v - 1968*v - 38 - 74 in the form k + c*v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -17. What is the first derivative of -11 - 6*p**3 + 9*p**d - 12*p**3 wrt p?\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 240 = -384 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8069.52 to the nearest 10.\nAnswer: 8070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*d - 664*d = 8860 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36871404 divided by 3?\nAnswer: 12290468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 1, j: 1, n: 1}. What is prob of sequence yyn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, e: 3}. Give prob of picking 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005316 rounded to four decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2490706 to the nearest integer?\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270151.\nAnswer: 7, 38593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (34 - 2) - -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6 = -4*v, -1 = -t + 34*v - 33*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1599\/(-41)*1*(15\/9)\/5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 4:02 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**(-5))*g\/g**(-6)*g**(1\/11)\/(g*g*g*g**(2\/13)))**(-5))**29 assuming g is positive.\nAnswer: g**(1305\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 6*l**2 - 7*l + 2. Let m be o(7). Let z be -6 + -12 - (m - 5). Let s = -17 - z. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w**2 - 4*w + 3. Let a(s) = -s**2 + s - 1. Suppose 3*k + k = 12. Let j(y) = k*a(y) + r(y). Find the second derivative of j(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 294984, 589800, 884616?\n\"Answer: 294816*j + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/9)\/((-1)\/(-18)*-3). Suppose 0 = -c*h + g - 21, -5 + 20 = -3*g. Sort 5, -5, h in ascending order.\nAnswer: h, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 5. Let b be f(-5). Suppose -16 = -3*x - c - 5, 5*x + 4*c = b. Sort x, -11, 3 in ascending order.\nAnswer: -11, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 2*o + 3. Let u be m(-2). Let a be (5\/u)\/(5\/(-30)). Let w = 14 + a. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.992 + 0.092. Let z = 4.1 - u. Which is the fourth biggest value? (a) 0.1 (b) 3 (c) z (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 6. Let f(y) = 1. Let x(r) = 2*f(r) + l(r). What is the remainder when x(-7) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 16*v = 212 - 20. Let c(i) = -i**2 - 7*i - 2. Let u(s) = -2*s**2 - 14*s - 5. Let n(r) = 5*c(r) - 3*u(r). Calculate n(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 1. Let b(r) = 2*r + 2. Let d(m) = 2*b(m) + 5*q(m). Let f be d(4). Let c = 4 + f. Is 0.1 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29228 is divided by 86.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 464207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 267*n. Let z(u) = -106*u. Let h(i) = 2*m(i) + 5*z(i). Let o(b) = -1. Let r(y) = 7*y - 4. Let t(l) = 2*o(l) - r(l). What is h(t(d))?\nAnswer: -28*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 18 = 3*a. Suppose 2*b = -2, -v + 0*b + b + a = 0. Let u = 34 + v. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 w when four letters picked without replacement from unnunuuuunuuwnnuu?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4442 - 2.5558. What is the nearest to 1 in -223, -3\/4, 4, x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 132383, 132381, 132379?\n\"Answer: -2*z + 132385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/863?\nAnswer: -5\/863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5338426 is divided by 4547.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - 41) + (5 - 12) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (97\/873)\/(10384\/2376).\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33\/(-12) + 2)*(-24)\/9. Suppose 9 = 3*t - 2*y - 10, 8 = h*t + y. Suppose -t*z - 2*z + 21 = 0. Solve 8 = n + 3*f - z, -n - 5*f = -19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h + 1. Suppose 4*c + 7 = 3. Let b be y(c). Suppose -3*f + 66 = -b. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w - 2*w)*(-66 - 61 + 94 + 5 + 0 - 4 + (3 + 1 - 3)*(-5 - 2 + 5) + 0 - 2 + 0 + 3 + 3 - 4 + 0 - 5 + 2)*(-4 + 0 - 1).\nAnswer: -370*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*z = -743*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 893156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34157, -34321, -34595, -34979?\nAnswer: -35473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1148 = -14*a + 9*a. What is the greatest common factor of a and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 2*y**2 - 6*y - 5. Determine q(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8131537 (base 9) in base 10?\nAnswer: 4331428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 6*a + 0 - 1\/12*a**4 - a**3 - 5\/2*a**2. Let f be h(-5). Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2313 divided by -43846?\nAnswer: 2313\/43846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/5 + 24\/100*5. Sort 3, 1\/4, j, 1\/7.\nAnswer: 1\/7, 1\/4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 111. Let h = -93 + 117. Calculate the smallest common multiple of h and m.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1157 divided by 3369.\nAnswer: -1157\/3369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 7:18 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/30 and 56\/73641?\nAnswer: 736410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*m**(2\/17))\/m)*(((m*m*m*((m*m**(4\/11))\/m)\/m)\/m)\/m)\/m assuming m is positive.\nAnswer: m**(46\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 3*x - 3. What is the tens digit of d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 38 (b) -0.03 (c) 188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:11 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 8:07 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2023650044 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421871.8 times 0.08?\nAnswer: 193749.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.185605 months to years.\nAnswer: 0.43213375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(540)\/sqrt(12) + -2 + sqrt(5) + sqrt(10)\/sqrt(2) + -5 - ((sqrt(605) - (0 + sqrt(605) + 1)) + sqrt(10)\/(sqrt(200)\/sqrt(4)))**2.\nAnswer: -51\/5 + 27*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-182)\/39)*1\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16148, -16143, -16126, -16091, -16032?\n\"Answer: o**3 - 2*o - 16147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*k + 157 - 391 = -19*k. Suppose 3*m = -0*m. Solve o - 5 = -k*b, m = 2*o - 0*o + 2*b - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1426, -2865, -4306, -5749, -7194, -8641?\nAnswer: -10090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6817, 6962, 7117, 7282, 7457, 7642?\nAnswer: 7837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2904\/(-4)*728\/(-12). Suppose 0 = 27*b - w - 82883. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - -341. Suppose -x = -5*s - 2*o, 0 = -o + 6*o + 5. Suppose 6*g - 4*g + 19 = j, s = 5*j - 5*g. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9126 take away 67?\nAnswer: -68.9126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2278 and 86852167.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-45) + (-1526)\/(-90)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142497 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 7*t + 29. Determine x(-9).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1693 + 1837 = -16*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(u + 95 + 17*u**2 - 7*u**2 - 96).\nAnswer: -20*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1280*f**2 + 14012*f - 713. Determine d(-11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -12. Let v = 84.4 + -84.4. What is the biggest value in 4, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -669, -4 in ascending order.\nAnswer: -669, -81, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -268167*b - 26 + 268189*b - 2 - 2*b + 2*b - 2*b + (3*b - b - b)*(-1 + 2 + 0) - b + 0 + 0 + 4*b - 2*b - b.\nAnswer: 21*b - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -14*l**2 - l**3 + 0*l**3 + 3*l - 2 + 0 + 11*l**2. Let r be g(-4). What is the first derivative of 2 - 20*a**2 + r - 1 + 16*a**2 wrt a?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8410*v - 4070535 = 8389*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356951060 rounded to the nearest one million?\nAnswer: 357000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 - 5*v**2 + 7*v + 2. Let q(g) be the third derivative of g**6\/120 - g**5\/30 + g**4\/8 + g**3\/6 + 23*g**2. Give -4*c(z) + 10*q(z).\nAnswer: -2*z**3 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1 - -1)*5. Let j(l) be the third derivative of 107*l**6\/24 + l**5\/10 - l**4\/6 - 5*l**3\/6 + l**2. Let v be j(o). Round v to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -6. Let r be -2 + -1 + -2 + 8. Suppose -r*w + 5 = -c. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 20 + 50 + 11*j**2 - 17*j**2 - 6*j**2 - 22 as k + a*j**2 + d*j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(12\/(-130)) - (-18)\/54. Let y = t + -21. Suppose 6*a - 37 = -y. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4397 or -4396?\nAnswer: -4397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*a - 237 = 0, 0*d - 2*a - 68 = d. Let b = 166 + d. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048943 is divided by 209775?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1267 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69 - (-4 - -22)) + 40?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 193974 and 290961.\nAnswer: 581922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11068 and 4.\nAnswer: 11068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 4*w - 3*h + 3, 0 = -2*w + 2*h + 66. Let z be (-42559996)\/w + 1\/(-7). What is z rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82.68 - 82.08. Let b(t) = 2*t**2 + t. Let m be b(-2). Let v = -5 + m. What is the smallest value in 0.1, -1, x, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = 12. Put p, 2, 4 in descending order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8570 - -15206. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132305 - -145005?\nAnswer: 310313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29662304 or -0.2?\nAnswer: 29662304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 167061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-979.\nAnswer: -97.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 606, 1286, 3216, 7020, 13322?\n\"Answer: 104*g**3 + g**2 - 51*g + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9997512797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181901 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*q - 10*q + 14*q)*(-125*q + 59*q + 109*q) + (-2*q - q + q)*(-q + 0*q - q) + 0*q**2 + 3*q**2 - 4*q**2 + 6*q**2 - 2*q**2 - 2*q**2.\nAnswer: 3531*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2369192, -2369105, -2369018, -2368931?\n\"Answer: 87*s - 2369279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 12) to base 5.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -57964 and -57963 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 2*r - 5*q + 43 = 0, -5*r + 13 = -q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*i + 34, -20 + 35 = -3*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggaauagaagaau. What is prob of sequence ug?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 396 + -394. Suppose -5*w - 242 = -i*t - t, -w - 334 = -4*t. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1188 = 3*x + 199, 0 = -5*w - x + 1748. What is the remainder when w is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*y - 2, 6 = y - 5*x + 31 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b - 9 = 0. Suppose -12 = -2*p - 2*k, 0*p - b*p + 16 = k. Suppose -3 + 13 = p*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1694 and 15092?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*i**2*x - 26*g*i**2 - 27*g*i*x + 2*g*i + 7*i**2*x - 8*i*x wrt i?\nAnswer: -4*g*x - 52*g + 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n - 14. Let j = 1159 - 1151. Let l = j - n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 7*i**2 - 3*i - 14. Let t be d(6). Suppose -2 + 8 = -2*j, -5*j = -t*h + 7. Sort 3, h, 15.\nAnswer: h, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234080 divided by -1045\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q**2 - 24*q - 45. Let r be t(4). Let m(v) = v**2 - 3*v - 1. Let o be m(4). Suppose o = -5*p + 28. Solve r = p*x + 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4095309 is divided by 17353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q + 52. Let g = q - 8. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945633.\nAnswer: 3, 13, 24247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g - 3. Let f(d) = 28*d + 10. What is 6*f(l) + 20*r(l)?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7828 and 3296.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -33*h - 27. Let c(s) = 16*s + 15. Let b(d) = -9*c(d) - 4*u(d). Let a(x) = -x - 2. Give -54*a(z) + 4*b(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4 = -6*t. Suppose t*s + 0*s + 9 = j, -s - 9 = -j. Let n = j + 18. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -7*l - 20. Let j be 7*(0\/(-3) - -1). Solve -l*m + 2 = j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + -36 + 45\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 111729286*g - 223458580.\nAnswer: 2*(g - 2)*(g + 55864645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23023 times -35\nAnswer: 805805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116416 and 2070022?\nAnswer: 3638","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r - 2. Let m(p) = 4*p + 0*p + 2*p - 5*p. Let h be -1*(-2 - -1)*-5. Suppose 5 = 5*f - 3*l, f = -3*f - 2*l + 4. Give f*j(c) + h*m(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17866?\nAnswer: 2, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 17*l + 21. Let b(z) = 8*z. Let v be b(2). Let t be p(v). Suppose 0*r - t*r + 20 = 0. Calculate the greatest common divisor of 28 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1*(-36)\/(-90). Let k = 3\/4 + -1. What is the closest to k in -5, 3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 1133136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (442\/(-9) - -1) + 91 + 44990\/(-495)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6*o*o*o*o*o**(2\/13) assuming o is positive.\nAnswer: o**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4311*u + 86 = 4321*u - 74 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -1)*14\/(-14). Suppose a = -2*h + 3*h. What is the third derivative of -5*n**2 + h*n**2 - 10*n**6 - 5*n**2 wrt n?\nAnswer: -1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*p + 5 = -0*i, 2*p = -2. Let x(s) be the second derivative of -2\/21*s**4 + 11\/21*s**3 + 4*s + 3\/7*s**2 + i. Factor x(j).\nAnswer: -2*(j - 3)*(4*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 486, 9, -0.1, 2, -0.5.\nAnswer: -0.5, -0.1, 2, 9, 486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 1. Let u(j) = 2*j**3 - 21*j - 2. What is -2*f(s) + u(s)?\nAnswer: 2*s**3 - 23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(1300) - (-1 + sqrt(1300)) - sqrt(1300)) + sqrt(13) - (sqrt(13) + sqrt(39)\/sqrt(3))*-1.\nAnswer: -6*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/3 + 224*x**4\/3 + 556*x**3 - 224*x**2\/3 - 1666*x\/3 = 0 for x.\nAnswer: -7, -1, 0, 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432970?\nAnswer: 2, 5, 29, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from kiskkklklkiu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o - 10. Let n(r) be the third derivative of 3*r**4\/8 + 7*r**3\/2 + 21*r**2 + 11*r. What is -5*b(t) - 3*n(t)?\nAnswer: -2*t - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 173*n**2 + 25*n**2 + 85*n**2 + (3*n - n - 4*n)*(-n - 2*n - n) - 5*n**2 + n**2 + 2*n**2.\nAnswer: 289*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n - 70 - 2*n - 4*n + n**2 - 28. What is z(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5972337646.\nAnswer: 2, 11, 271469893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(30)\/sqrt(5) + sqrt(6)) + sqrt(204)\/sqrt(48))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d. Let b(j) = 17*j - 37. Let y(s) = b(s) - 5*r(s). Let w(f) be the first derivative of -2*f**3\/3 - 19. Give w(y(m)).\nAnswer: -8*m**2 + 296*m - 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74402*j - 562130*j - 415518*j.\nAnswer: -1052050*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 5*n - 5. Let l = -4 + 6. Let f(t) = -3 + 12 + t - l*t. Let m be f(5). What is k(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 139209*p**3 + p + 440815 wrt p.\nAnswer: 417627*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - -32?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*110.5.\nAnswer: 2099.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -0.010031183\nAnswer: -0.120374196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2009191884 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 135 = -10*f, -1897730 = a - 4*f - 1897703 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 0) + 13 + (-1 - -2) + 135 + -88?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 70. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2921 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 4*x. Suppose x = 3*h - 2*h. Solve h = k - 3*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0 - 1\/6*r**3 + 0*r**2 - 29*r. Let f(x) = 0*x**2 + x**2 + 0*x**2. Calculate f(j(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 3*b - 24 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -4 (c) 3\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100002 - -10?\nAnswer: -1022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**5 + 2197*l**2 + 3103*l - 29?\nAnswer: -60*l**3 + 4394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 4\/41 (c) -5\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007995902 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1254\/171*9\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 35*q + 23. Let m be d(-2). Let z(n) = -n**2 - 48*n - 45. Let i be z(m). Solve -5*o - 5 = -5*h, 0 = i*h + 3*o - 15 + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1) + 0 - 21. Suppose 25 = 5*i, 11*i - 15*i = 5*n + 5. What is the units digit of (-496)\/y - 1\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/3 + 1280108*y**3\/3 + 91034311248*y**2 + 19418801583776980*y\/3 - 446776923454454834\/3.\nAnswer: 2*(y - 23)*(y + 213359)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (1488\/(23 - 39) + 16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -506*u**4 - 2*u**2 + 387*u + 855728 wrt u.\nAnswer: -2024*u**3 - 4*u + 387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.03, -5, 1\/5, -1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 - 2*s + 6. Let z(v) = 13*v**2 - 9*v + 24. What is 9*n(a) - 2*z(a)?\nAnswer: a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + n)*(3 - 3 - 2*n)*(-255*n - 345*n + 1047*n) in the form z*n + g*n**3 + m + h*n**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.12 and 1726.\nAnswer: 1726.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3\/5 + 24*z**2\/5 - 5724*z\/5 + 5504.\nAnswer: 4*(z - 32)*(z - 5)*(z + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9706.97km?\nAnswer: 9706970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/9)\/(k\/k**(5\/8)))**(-36)\/((k\/(k\/(k*k**(-1\/4))))\/((k*k**(-6\/11))\/k))**(3\/11) assuming k is positive.\nAnswer: k**(8299\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7*1)\/(-7 + 8). Let q(f) = -f**3 + 8*f**2 - 9*f + 10. Let y be q(z). Which is the third biggest value? (a) 1\/5 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - 9*n + 2*n - 10*n as d + o*n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 24*a + 12. Let j be x(5). What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 3, 1.\nAnswer: -7, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 2*y**2 + 0*y**4 + 38 + 0*y**5 - 40\/3*y**3 - 17\/15*y**6 + 0*y. Differentiate j(m) with respect to m.\nAnswer: -408*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13813061 to the power of 1\/2, to the nearest integer?\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r + 23. Let x be l(4). Let u = 2.04 + -0.04. Which is the nearest to u? (a) 0.3 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 32767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 0*d - 2*d)*(256255 + 4*d - 72*d - 256255) to the form g*d + n + k*d**2 and give k.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.59352kg?\nAnswer: 6593.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e - -7870?\nAnswer: 7851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51519.1 - 51519. Let x = -71 + 357\/5. Which is the second smallest value? (a) x (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.6. Let u = 0 - k. Let o = u - -0.3. Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*j - 29 = -h, 0 = 4*j + 4. Suppose -4*v - 5*z = -15, -2*z = -4*v + h - 4. Suppose -8*y = -3*y + v, -103 = -3*l + y. Does 34 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) 1\/18 (c) 3\/2 (d) -2\/5 (e) 260\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ithhhhshhhthghhhthhs. What is prob of sequence sg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -194431 (base 13) to base 8\nAnswer: -2335626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5\/6)\/s**(1\/5))\/(s**(2\/27)\/(s**(-15\/2)\/s)))**43 assuming s is positive.\nAnswer: s**(-55771\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24696 by -196.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*q**3 + 2*q**2 - 31*q**2 + 35*q**3 to s*q**2 + t + z*q**3 + d*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:34 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 2}. Give prob of sequence mmr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/5*38325\/(-140) is divided by 111?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220213324 divided by 326726.\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (8 + -8 + (7 - 5) + 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590 a factor of 411982413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l - 1. Let r be p(-1). Put 1, -3, r in increasing order.\nAnswer: -3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**5\/100 - 61*v**4\/60 + 131*v**3\/10 - 603*v**2\/10 - 4*v + 2. Factor i(q).\nAnswer: -(q - 3)**2*(q + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/((14\/6)\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169728 = -4*v + 3*a, 5*v + 2*a - 248459 = -36322. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -25*o + 3490. Let t(l) = 71*l - 10468. Determine -17*m(y) - 6*t(y).\nAnswer: -y + 3478","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1409807 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8314095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.8 times -0.05858?\nAnswer: 0.632664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -894\/12923 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -23. Let v = 11 + i. Sort 3, v, 5\/2.\nAnswer: v, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -222077, -444187, -666297?\n\"Answer: -222110*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000093366 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -4, -2\/7, -1\/6, -3 in descending order.\nAnswer: 66, -1\/6, -2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4594 + -22969\/5. Let u(g) be the first derivative of -8\/5*g + 0*g**3 - 13 - w*g**4 + 6\/5*g**2. Determine o, given that u(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -2, 3.\nAnswer: -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + (0 - 1). Let q = 207 - 147. Let f be 14\/4 + 6\/q - 3. What is the closest to x in 2\/9, f, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from cucucbccebbpcbcbbb?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3687, 8831, 17403, 29403, 44831, 63687?\n\"Answer: 1714*t**2 + 2*t + 1971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ffffqfffffffqfffff?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10437 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -1298*b**4\/17 - 23054*b**3\/17 - 38776*b**2\/17 + 415016*b\/17 + 14112\/17 = 0.\nAnswer: -14, -7, -2\/59, 36\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8)*0 - (3 - 513). Let b = -146 + o. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 - 131 - 65*l**2)*(-l + 5*l - 3*l) + l**3 + 1 - 1 + 12*l**3 - 1322*l**2 + 1322*l**2.\nAnswer: -52*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2330 (base 5) to base 12.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -9, 5, -4, -1 in increasing order.\nAnswer: -16, -9, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 135, 149, 159, 165, 167, 165?\n\"Answer: -2*k**2 + 20*k + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 5, -21, 1 in descending order.\nAnswer: 5, 1, -21, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 7*n + 12. Let p be c(7). Let u = p + -10. What is the remainder when 8 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74580 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 + 24)*3\/(105\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -63*a + 8 - 49 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 551062*c**6*n**3 + 2*c**4*n**2 + 3*c**2*n**3 - 1708*c**2 + 3*c*n - c - 5*n**3 wrt c?\nAnswer: 66127440*c**3*n**3 + 48*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*715\/352*(-12)\/15\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -992.174442 to the nearest integer.\nAnswer: -992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 909970, 1819987, 2730048, 3640147, 4550278?\nAnswer: 5460435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198 - -309. Let r = l + -107. Which is the nearest to -0.3? (a) -3 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 6*k - 8. Let s be a(-7). Let c be 50*s\/(-3 - -1). Suppose -h - 5*f - c = -3, 0 = -5*f - 25. Is h smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121231814 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + f + 2*f)*((2 + 2 - 5)*(4 + 1 - 4) - 1 + 0 + 0).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28868699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, g: 2, r: 6}. What is prob of sequence prgg?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*z + 2, -2*h + 5*z = -3*h + 17 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418*p - 420*p + 92 = 0. What is the remainder when 158 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 10:15 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3250 + 2a3?\nAnswer: 3513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 4910629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 619954.6 litres in millilitres?\nAnswer: 619954600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**4 + 79*j**3 + 50*j**2 - 8*j - 8. Let p(o) = -12*o**4 + 81*o**3 + 48*o**2 - 9*o - 9. Let s(f) = -8*p(f) + 9*r(f). Factor s(w).\nAnswer: -3*w**2*(w - 22)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let y(p) be the second derivative of -p**7\/840 + p**4\/3 + 11*p. Let w(h) be the third derivative of y(h). Determine w(j(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 10:23 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 6. Let d(c) = -c + 10. Let w(o) = -3*d(o) - 5*g(o). Let a(j) = -2*j - 5. Let r(p) = 3*p + 7. Let q(y) = 7*a(y) + 5*r(y). Determine w(q(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20243 + 20239. Sort -3, 7700, v in ascending order.\nAnswer: v, -3, 7700","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 3*s + s + (-4 - 3 + 5)*(0*s - 3*s + 2*s) + 0 - s + 0 - s + s + s + s - 4 + 4 + 1 - 1 + s - 4 + 2 + 2*s + 3.\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + z + 4*z + 5)*(20 - 20 - 12*z).\nAnswer: -60*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4\/8 + 141*l**3\/2 - 18873*l**2\/4 + 142155*l\/2 - 531441\/8 = 0.\nAnswer: -243, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 6 - 4*o - 2 + 9 - 21 as x*o + s and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/3, -2348 in descending order.\nAnswer: 0.2, -2\/3, -2348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + t**3 - t - 6*t**2 + 12 + 3*t**2. Let y be b(0). Suppose -10*q + 390 = -570. Calculate the highest common divisor of y and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2215085973 divided by -5.\nAnswer: 2215085973\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5477335695.\nAnswer: 3, 5, 13, 3120989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 134019.5?\nAnswer: 67009.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-8)\/(-36))\/((-2)\/(42*5\/385))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwww when four letters picked without replacement from wwwmmwww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b**2 - 3*b. Let l be j(-1). Let f be (-12)\/l*(-30)\/12. Suppose -97 = -5*w - 3*p + 124, -178 = -4*w - f*p. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(-3\/14)*p)*(((p*p**(4\/13))\/p)\/p)\/p*p**(6\/11)*p*p*p**37*p assuming p is positive.\nAnswer: p**(76211\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 3*g**2 - 3*g + 2. Let j be k(-4). Suppose -5*z + 2*u + 11 - 148 = 0, 4*u + 16 = 0. What is the common denominator of (3 - 447\/j) + 3 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 9:47 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, 18, 167, 458, 939, 1658, 2663, 4002?\nAnswer: 5723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 290104 - 166215. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 5*u - 1. Let v = 24 + -28. Calculate q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(1\/25)))\/k)\/(k*(k*k*k**(1\/6)*k)\/k) assuming k is positive.\nAnswer: k**(-619\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3279 is divided by 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 + 117. Let r(y) = y**3 - 10*y**2 + 16*y - 14. What is the tens digit of r(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - -0.09. Which is the closest to 0? (a) h (b) -5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1804513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c + -10c55?\nAnswer: -10ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.15535178 and 2.\nAnswer: 2.15535178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35543 + 35543 + 35543 + 9439*g**2 - 106627 to r*g + l*g**2 + u and give l.\nAnswer: 9439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 18) + -1*3 + (8 - (-8 + 8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 3 + 3*c + 1 + 0*c**2. Let s(q) = 2*q**3 + q**2 + q - 2. Let a be s(1). What is g(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24440.3 times 14.98\nAnswer: 366115.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3009908 divided by 2\nAnswer: 1504954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 2, -323, -4, -9 in increasing order.\nAnswer: -323, -9, -5, -4, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 38*t**2 + 18*t - 20. Let h be b(15). What is h rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*t + 0 - 301*t - 5 + 130*t + 5.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -28, -2\/9 in descending order.\nAnswer: 2\/9, -2\/9, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -229619*d**4 - 1292936 wrt d?\nAnswer: -918476*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*k**3 - k - 2*k - 113*k**2 + 113*k**2 wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 649 divide 1053854745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 - 1993\/19. Suppose 4*b = -5*l + 3*b - 9, -2*b = 8. Let f = 10 + 14. What is the biggest value in h, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 887, 1808, 2729, 3650, 4571, 5492?\nAnswer: 6413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*b + 39, -16 = -3*u - 2*b + 8. Is (4\/u)\/((-4)\/(-282)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-572))\/(5\/(-5)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1115105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168961 and 5863.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 0 - 2*j + 4 - 13*j + 1 + 11*j + 0. Let z(b) = -4*b + 6. Let s = -4 + 11. Determine s*a(n) - 6*z(n).\nAnswer: -4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7148 + -100181\/14. Let f = 43360\/11 + -79507\/66. Let o = f - 2748. What is the common denominator of o and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*i + 268 = -67 - 49. Solve -10*z + 6*z - 20 = 0, i*p + 11 = -z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*z + 3166326 + 2355256 = 1026406. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228 (base 13) to base 4.\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3424 = -3364, 24 = 6*i + x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:46 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16662*u + 5566*u - 13400*u.\nAnswer: -24496*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/12)\/((-6)\/12)*-93*(-138)\/(-69).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-20)*(1160\/501816)\/((-2)\/(-7)).\nAnswer: 2\/309","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1083*(-10)\/(-1245) + -9. Let u be (-8249)\/(-996) - 1\/(-4). Let m = p - u. Find the common denominator of m and 83\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from ggvgviiiggivvvv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 82. Suppose 2*t + y + 3 = 1, -3*y = 5*t + 6. Solve -n = 2*j - t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6504937 (base 10) to base 13\nAnswer: 1469a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 192 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = 2*d - 25. Let x = 194 + d. Suppose -6*t + 2*t + 2*h + 28 = 0, 5*t - 65 = -5*h. What is the greatest common factor of t and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2166905513 + -0.069.\nAnswer: -2166905513.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-1)\/10). Solve 4*c = f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/(4947\/379270)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.562 take away 322120?\nAnswer: -322120.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5ed (base 16) to base 7\nAnswer: 4265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -103. Solve 0 = -q - 2*p + 8, 0 = b*q - 4*p + 2*p - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3469*l**3 - 44*l**2 wrt l?\nAnswer: 20814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(sqrt(128) - -6*-1*sqrt(128) - (0 + sqrt(10)\/(sqrt(10)\/sqrt(2) + sqrt(5)))))**2.\nAnswer: 1312200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 396 and 17446104?\nAnswer: 191907144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 5*f**2 - 9*f - 6. Let q(t) = -164*t - 321. What is the remainder when q(-3) is divided by n(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122917 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-345)\/5130*(-4)\/(-4) and 91\/114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109240804 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 1, l: 1, i: 1, e: 2, x: 3}. What is prob of picking 1 l and 1 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -27. What is the biggest value in 1\/10, -5, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.283 times 9?\nAnswer: -2.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8.3, -0.4, -1\/2, -0.18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Let v(r) = 2*r - 30. Let b be v(s). List the prime factors of (7 + 0)*b\/(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/6 - z. Let r(y) be the third derivative of 0*y - 4*y**2 + 0*y**4 + 0 + 0*y**3 - 1\/60*y**5. Calculate c(r(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 5, -0.3, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4174 - 4169. Let j(a) be the third derivative of 1\/100*a**l + 0*a + 1\/20*a**4 + 0*a**3 + 17*a**2 + 0. Let j(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in 2\/3, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 11 + 16)*(4*w - w - 2*w)*(136 + 223 - 16 - 7 + 92).\nAnswer: 23112*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atfaaaffafamfaaatj. What is prob of picking 2 a?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 plus -577?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-6578))\/(140\/1540)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45503\/1 - (-10 - -13). Suppose 16*l - 21*l = -t. Round l to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 + 15*b**2 + 14*b**2 - 2*b**2 - 9*b**2.\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001.2 rounded to the nearest 10?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 2*h. Let d(r) = 14*r**2 + 18*r + 43. What is 2*d(j) + 18*y(j)?\nAnswer: 10*j**2 + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.1 (c) -418\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**4 - x**2 - 6*x - 1. Let g(u) = 330*u**5 - 5*u**4 + u**3 - 5*u**2 - 27*u + 26. Let b(j) = g(j) - 5*z(j). Find the second derivative of b(r) wrt r.\nAnswer: 6600*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5\/11 + 20*k**4\/11 - 48*k**3\/11 + 4*k**2 - 14*k\/11.\nAnswer: -2*k*(k - 7)*(k - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -34. Is 22 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84008 + -37.\nAnswer: -84045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41187649 is divided by 116.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 15 - 9 = -4*o, 5*o - 30 = -b. Let d be (-3)\/o*1*158. Let l = -26 - d. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**4\/5 + 1794*w**3\/5 + 21177*w**2\/5 + 47346*w\/5 - 14064 = 0.\nAnswer: -586, -8, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*6\/(-18))\/(42\/18). Which is the nearest to 20.2? (a) -2\/5 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5 - 17*o**4 - 50861*o**3 + 1017169*o**2 - 2389652*o - 3457664 = 0.\nAnswer: -227, -1, 4, 17, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0090768712 to five dps.\nAnswer: 0.00908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -7.2?\nAnswer: -172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 522528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - z + 0)*(2 + 0 - 1) + 4*z - 12*z + 7*z)*(-3*z**3 + 3*z**3 - 2*z**3) as a*z**4 + b*z + c*z**2 + m*z**3 + h and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let g(f) = f**2 + 5*f - 6. Let w be g(-6). Let l(n) = 0*n + 0*n + w*n - 3*n. Calculate l(a(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from wwjq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j + 1. Let w(u) = -54*u - 5. Calculate -2*w(i) - 11*z(i).\nAnswer: -13*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/(-165)*(-3)\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*j + 18*j**3 + 21*j**3 + 1 + 28*j as h + u*j**3 + b*j**2 + m*j and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3286536521.\nAnswer: 241, 251, 54331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 53. Let o = 86\/5 - 17. Which is the biggest value? (a) -2\/11 (b) f (c) o (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -50*k**3 + k**2 - k + 3. Is u(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13957837 less than -13957837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 b when four letters picked without replacement from boffffuuufuuuboouuo.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/35))**11*w*w\/(w**(-14)*w)*w*w*w**(25\/4) assuming w is positive.\nAnswer: w**(3519\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 2*g - 2. Suppose 18 = -2*l - 2*f, 4*f - 6*f - 8 = 0. Let u be 4\/2*(l + 4). Let b be a(u). Solve -6*o - 2*x = -4*o + 8, -b*o = x + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from jjmjmmjmmmjmjmmjjjm?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 183512259 + 194177.\nAnswer: 183706436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-91))\/(124\/(-806))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzfzzzzfzzffzzzzfzzz. Give prob of sequence zf.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 + 137*f - 90. Let t be o(45). Put -1, 73, t in decreasing order.\nAnswer: 73, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/5 and (3 + 617\/(-200))*-58 - 5?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3447757.059543 + 3447771. Let k = u - 5.940459. Let v = k + -8. Round v to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + 0 + 6 - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 4. Let g(k) = -6*k - 11. Let o(n) = -8*b(n) - 3*g(n). What is the remainder when 28 is divided by o(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9706023 - -2.2.\nAnswer: 9706025.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ff + 2?\nAnswer: -4fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.043 + -0.357. Let r = 109\/5 - 112\/5. Which is the biggest value? (a) g (b) -2\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, -0.02, -0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01913388 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (15 + -2 - (83 + -56))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 815 - -1465. Suppose -g - 3869 = -2*l - 1577, -2*l = 2*g - m. What is the greatest common factor of l and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -572, -1960, -4624, -8990, -15484, -24532, -36560?\nAnswer: -51994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 238 + -161. Suppose -x = -5*b + 3*f - 2*f, 0 = -2*b - f + 35. Solve -3*k + b = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 501913133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*x + 3 + 107, 0 = -5*y + 2*x + 110. Let l(i) = 62*i - 41*i - y*i. Let j(o) = -7*o + o + 2*o. What is j(l(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -14*a**4\/5 - 598*a**3\/5 + 872*a**2\/5 + 3496*a\/5 - 1056\/5 = 0.\nAnswer: -44, -2, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7134\/4*((-531)\/(-27) - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5934.\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -42, -48, -54, -60, -66?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*(-3)\/(-12) - -31 and (3\/5)\/((-6)\/1485*-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 450.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 34436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 minutes before 7:40 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/21, 51, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(-1 + sqrt(208)\/sqrt(4) + sqrt(52)))**2.\nAnswer: -10450 + 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 1403*u - 16892. What is q(-12)?\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -1 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28860 and 1099020?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 13. Let r be (-8)\/(-10)*55\/b. Is 47\/(-3)*(r + 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - 4. Let a = -25 - j. What is the first derivative of 1 + 4 + a*n**3 + 16 - 5 wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17203728 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96490 by 618.\nAnswer: -48245\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/(-7) - (-105)\/147. Solve -q*u = 17*u - 42 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1091043 and 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4 + 3. Let v(y) = 3*y + 17. Calculate v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10231332 (base 4) to base 15\nAnswer: -5ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w + 8*w)*(-44*w + 28*w - 48*w).\nAnswer: -512*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-13))\/(j*j**(-6\/17)) assuming j is positive.\nAnswer: j**(-215\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 363719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/((-3 + (-39)\/(-9))\/(-14)). Let m = f + -63. Let c(a) = a**2 - 3*a + 109. What is the tens digit of c(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -16*z**2 + 100*z - 12. Let w be t(6). Solve m - 3 + w = 3*i, -12 = 4*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111011 (base 2) in base 3?\nAnswer: -1010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/63)\/((-1416)\/(-32214))\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 4*g + 59*g + 34.\nAnswer: 55*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 277\/((-44320)\/(-1920))*((-20)\/(-392))\/(-5)?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 276501271?\nAnswer: 276501271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.038, 0.5, -7136 in increasing order.\nAnswer: -7136, 0.038, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*k - 130, -2*o - 162 = -5*k - 5*o. Solve k = -4*y - 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 0. Let f(k) = k**2 + 118*k + 3534. Let o be f(-57). What is the closest to d in o, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -701444 - 0?\nAnswer: -701444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 462864*a**2*h + 24220*a**2 + a wrt h.\nAnswer: 462864*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-118639)\/58*(1 - 3). Suppose -9*w + q - 176 = 0. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93830, -375322, -844474, -1501286?\nAnswer: -2345758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14486 - 13266. Let j = 8 - -2. Calculate the greatest common divisor of p and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u. Let b(o) be the second derivative of 5*o**4\/12 + 47*o. Calculate r(b(w)).\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3343267, 6686889, 10030511, 13374133, 16717755?\nAnswer: 20061377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -28*s + 163. Suppose a - s*b - 34 + 12 = 0, 0 = 4*a + b - 4. Solve -2*l = c, 2*l - 6*l = c - a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**8\/20160 + a**6\/180 + 2*a**5\/45 - 13*a**4\/6 + 30*a. Let z(t) be the third derivative of v(t). Factor z(c).\nAnswer: -(c - 4)*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 276 - 271. Let j be (27\/(-6))\/(2\/24). Let f = 215\/4 + j. Which is the nearest to -1? (a) -5 (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -13*u + 17*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70.9 - 102. Let x = j + 32.79. Round x to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 77 = -75 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 6*r - 2. Let n(f) = f**2 + 4*f + 6. Let x be n(-4). Let h(j) = j**2 - 5*j - 1. What is the remainder when q(5) is divided by h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-12)\/(-36)*(-33)\/(-5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*10*(-226)\/339?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/209 and 6\/121.\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 80134.05 kilometers?\nAnswer: 8013405000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59d (base 15) in base 4?\nAnswer: 103321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -429 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12)*3*14\/63*-22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -435 - -409. Let k be (-351)\/t + (-6)\/(-4). Calculate the highest common factor of 60 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-5\/3)*q)\/((q*q**1*q)\/q*q))\/((q\/q**(-1))\/(q\/q**(-1\/6))) assuming q is positive.\nAnswer: q**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*((1 + sqrt(108))*-2 - (sqrt(108) + 0 + sqrt(108))*-1)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -176*h**2 + 99*h - 99. Let c(j) = 7*j**2 - 4*j + 4. Let m(q) = 4*a(q) + 99*c(q). Let f(t) = 25 + 32 + 8 - 8*t - 65. Calculate f(m(k)).\nAnswer: 88*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 34 = -4*o. Let y = 12 - o. Is 3\/(-5 + y) - -34 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5*j = -10*j - 25, 4*u = -j - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -5, -10, -24, 156 in decreasing order.\nAnswer: 156, 51, -5, -10, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14445137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.6, -5, 2\/13.\nAnswer: -5, -0.6, -2\/15, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37149 + 38031. Calculate the highest common divisor of s and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 1994952*r - 1196973.\nAnswer: (r - 398991)*(5*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = 3*u, -5*o + 5*u + 311 = 321. What is the third biggest value in -1\/5, 6, 65, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2875 = -121*x + 92 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = -2*v, 0*v = 2*i + 2*v + 4. What is the least common multiple of i and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o**2 - 35972*o + 8992 = 0. Calculate o.\nAnswer: 1\/4, 2248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 39*x = -12. Let o be -6*(-22)\/x + -3. Let c be (10\/3)\/((-5)\/(-30)). What is the highest common divisor of c and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -1\/4, -1, 4, 10\/133?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -18*y - 3. Let b be g(-5). Let r = b + -29. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56, -18, 20?\n\"Answer: 38*t - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190\/(-665)*(-14)\/30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 - -1.672. Let i = u + -0.0720061. Round i to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7811700 rounded to the nearest ten thousand?\nAnswer: 7810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - g = 1, 0*g + 5 = g. Let z(i) = 4*i**2 + 2*i - 1. Let h be z(r). Which is greater: 12 or h?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 833 + -688. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 2) + 2 - 2. Suppose 0*a + c*a - 38 = 0. Suppose 2*n + 5*b = n + 27, 4*b + a = 5*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 2*l - 5*l**2 + 11*l**2)*(3 - 3 - 3).\nAnswer: -6*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and 5.9?\nAnswer: -9.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 15. Calculate k(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + w + 4*w)*(-3 - 2 + 4) - 8*w + 7*w - 8*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 16 + 7*g - 12 - 4. Let p(l) be the second derivative of -l**5\/30 - l**2 - 4*l. Let s(z) be the first derivative of p(z). Give n(s(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1501*u - 13609. Give o(-9).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4644*m + 4649*m = 2*r + 18, -2*m = -r - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87753, 175515, 263277?\n\"Answer: 87762*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 3. Suppose 4 = -47*z + 49*z. Let j(l) = 7*l - 8*l + z*l. What is j(q(c))?\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 48*d - 20 = 43*d, 5*t - d = 77. Solve 10*r - t = -25 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -779, -783, -787?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 707423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -308*o**3 - 1097 + 173*o**3 - 5*o**4 + 1247 + 435*o**2 - 445*o.\nAnswer: -5*(o - 1)**3*(o + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**3 - 25*f**3 - 28*f**3 + 44*f**3.\nAnswer: -30*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = h + w, 16 = -5*h - 2*w - 49. Let n = 6 + 2. What is the least common multiple of n and -1 - 2 - (h + -2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -19*d + 15*d + 676, -2*d + 3*z = -324. Suppose 0 = 4*l - r - 357, 2*l - d = 9*r - 5*r. Calculate the highest common factor of l and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*q + 41, -2*q + 32 = 2*q + h. Suppose -20 = -3*s + 10. Let a = 14 - s. Solve -q = -l + a*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + h. Let l(w) = 11*w**4 - 21*w**2 - 6*w. Let p(t) = -6*j(t) - l(t). Find the third derivative of p(m) wrt m.\nAnswer: -264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 4*w**2 + 3*w**2)*(-4 + 2 + 3) - 113 + 2*w**2 - 114 + 226.\nAnswer: 7*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5 - 9. Let f(q) = q + 2*q - q - l*q. Let t(c) = 2*c**2. Give t(f(x)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64 + -1 + 7\/((-28)\/8). Let h = b - 61. What is the smallest value in 0.4, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*p - 2*p = 11, -3*r + 9 = 3*p. Let i(c) = 3*c**2 - 2. What are the prime factors of i(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*h + 154*h - 260 = 0. Suppose -x + 1 = 0, -x = 4*w - 3*x - 446. What is the remainder when w is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-11)*88\/16*(-36)\/(-234). Let u = -0.6 + -3.4. Which is the third smallest value? (a) u (b) -90\/23 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(130)*3 - -2*sqrt(130)*1))\/(-1*-2*sqrt(250)*2).\nAnswer: -3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 3 + 6 + 5 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {v: 2, d: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 5:02 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from ddgddgdddgd.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35235\/108)\/45 + 2\/(-12) + (-82)\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -5. Let n = -30.3 - -29. Let t = 4.3 + n. Put r, t, -5\/4 in decreasing order.\nAnswer: t, -5\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00551752 rounded to four decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1. Let c(b) = 2*b - 4. Let w(r) = r - 1. Let s(h) = 2*c(h) - 6*w(h). What is s(z) + 4*v(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26, -47, -66, -83, -98?\n\"Answer: l**2 - 24*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 3, g: 1, p: 1}. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*n**5 - 76*a*n**4 - 3*a*n**2 - a*n - n**3 wrt n.\nAnswer: -60*a*n**2 - 1824*a*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -35*b + 6593. Let v be j(56). What is the highest common divisor of v and 339?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -1200202110110?\nAnswer: 1200202110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -98752099 from 3555.\nAnswer: 98755654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 3351?\nAnswer: 3354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)\/(k**(-2\/11)*k)*(k**(-2\/11)*k)\/k*k**(-1\/5))\/(k\/((k**(-2\/21)\/k*k)\/k)*k**(-1\/5)\/k*((k\/(k\/k**7))\/k)\/k**(-5)) assuming k is positive.\nAnswer: k**(-269\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6476 rounded to the nearest 100?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*p)*(6 - 4 - 1)*(-9 + 9 - 8*p) as g*p + z*p**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 14*a**5 - 5*a**4 - 879*a - 3. Let i(p) = -15*p**5 + 6*p**4 + 879*p + 4. Let y(f) = 3*i(f) + 4*s(f). Find the second derivative of y(u) wrt u.\nAnswer: 220*u**3 - 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-770)\/(-11)*34\/(-119)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 8*k**2 - 8*k - 5. Let f be y(-7). What is the third derivative of 13*b**3 - 20*b**3 + 5*b**2 + 26*b**3 - 19*b**f wrt b?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33125772201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9255891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17125 is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -22*a**3 + 5*a + 10. Let d(s) = -21*s**3 + 4*s + 9. Let t(m) = 5*d(m) - 4*h(m). Differentiate t(l) wrt l.\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.2039 centuries to decades.\nAnswer: 812.039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -235*o**2*r - 3724*o**2 + 46*o - 4*r**2 + 172915*r - 948 wrt r.\nAnswer: -235*o**2 - 8*r + 172915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 6, 2\/11, -0.1838, -0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 equal to 700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7)*y)**13)**(-9)*(y\/(y\/y**(-2\/3)))**(-32)\/(y*y**1)**(-45) assuming y is positive.\nAnswer: y**(-821\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 162122*o**3 - 4*o**2 + 33800265 wrt o?\nAnswer: 486366*o**2 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113670 is divided by 56829?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - 4.8. Let u = k - -5.6. Which is the second smallest value? (a) 5 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.12114112 + -12.28114. Let x = -1 + 1.16. Let b = a + x. What is b rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-4) - (-10 + 6)\/((-4)\/1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51668853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -205135.\nAnswer: 2871890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 12:12 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 4\/7*t**2 - 3*t - 1\/14*t**4 + 2\/35*t**5 - 4\/21*t**3 - 2 - 1\/105*t**6. What is p in u(p) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205 - 203. Let b(j) = -3 - 7*j**2 + 8*j**2 - 11 - t*j**2 + 14*j. Calculate b(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(128) + -1) - (6*sqrt(128)*5)**2.\nAnswer: -115206 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 101*c - 14308. Determine t(-63).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 2\/(-4))*-2. Let i(f) = 105*f**2 + 1. Let h be i(t). Let v = 49 + h. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f + 29*f = 15. Let p be (f - -3)\/(3 + (-12)\/3). Which is bigger: p or 1\/382?\nAnswer: 1\/382","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(3*r + 0*r - 2*r) - r + 0*r + 0*r - 4 + 3*r + r + 5.\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*243\/(-81)*1\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4196344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Suppose n*i - 46 + 16 = 0. Calculate the remainder when 16 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffjvifiixsfiffv. Give prob of sequence iiix.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -140 + 134. Let t be g*(24\/(-42))\/(6\/(-231)). What is the highest common factor of t and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-30 - (15 - 19)) + 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 636 + -625. Solve 4*m + 30 = -y*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125850029*w**5 - 72198267*w**2 wrt w.\nAnswer: 7551001740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - q**2. Let y be r(0). Let b = -42 - -45. Put -5, b, y in decreasing order.\nAnswer: b, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 21, -4, 0.1, 1\/1827?\nAnswer: 1\/1827","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5052 + 974*p + 611*p - 1584*p)*(3*p + 3*p**4 - 5*p + 2*p).\nAnswer: 3*p**5 + 15156*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 13. Suppose 4*z + 4*p + 24 = 0, -2*p - 30 = -0*z + 4*z. Let w = -18 - z. Let n be s(w). What is the greatest common divisor of n and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*r**5 + 3031*r**4 + 23059*r**2?\nAnswer: 960*r**2 + 72744*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 37*v - 43. Give t(8).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*k + 123, 22 + 6 = -d - 4*k. Is (5\/4)\/((-4)\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252876.\nAnswer: 2, 3, 13, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145859, -145836, -145813?\nAnswer: -145790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2218.8763 - 2218. Let d = o - 1.031. What is d rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + -11 + 13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/25)\/((-33)\/(-220))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = n - 20, -5*n - 12 = 3*m - 10*n. Let u be m\/(-6) - (-34)\/3. What is the units digit of (-28)\/u*1*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i + 105. Calculate u(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**4\/12 - p**2. Let d(i) = -2*i**2. Give t(d(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {c: 3, p: 7, m: 7, h: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.42318 in -67, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4533932469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3676 + -1?\nAnswer: -3677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16137216 divided by -153.\nAnswer: 105472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.09 - -0.09. Let c = 7 + u. Let n(d) = d**3 + 38*d**2 + 132*d - 136. Let o be n(-34). What is the nearest to o in c, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1184 divided by 46.\nAnswer: 592\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 592*y**2 + 634*y**2 - 1 - 75*y**3 - 1198*y**2 wrt y?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(18\/9 + (-1)\/(-1)). Let f(q) = -8*q**2 - 5*q + 5. Let d(j) = -9*j**2 - 6*j + 6. Let o(a) = h*f(a) - 5*d(a). Factor o(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14035 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8261*u**3*w**4 + 114*u**3 - 36*u**2*w**4 - 680*u*w**2 wrt w?\nAnswer: 198264*u**3*w - 864*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -98500 to the nearest 1000.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.026, 5, 2\/3, -0.37 in decreasing order.\nAnswer: 5, 2\/3, 0.026, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3, b = -4*z + 50 - 11. Let t be 3\/(-2)*-3*(-124)\/(-9). Suppose t = 6*a + 2. Calculate the remainder when b is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) 2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, 156, 1197.\nAnswer: -19, 0, 156, 1197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/10699 or -0.61?\nAnswer: -6\/10699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 960464819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16195140 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -2*o**3\/3 - 2544. Let a(s) = -9*s**2 + 4*s - 37. Give a(v(f)).\nAnswer: -36*f**4 - 8*f**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 76 = -2*q, 0 = -5*q - 5*o + 36 + 4. Solve 0 = -9*g - 6 - q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -5*b**4\/4 - 65*b**3\/3 - 255*b**2\/2 - 315*b - 833. Solve o(a) = 0 for a.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -30*1*(435\/(-2))\/(-15). Let i = -428 - l. Solve 3*x = i*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 + 334 = -2*x. Let c = -208 - x. Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2. Suppose -i*f + 0*f = -40. Let l be 77 - (4\/(-4) - 2). What is the highest common factor of l and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290903 - 234547 = 999*l - 17949*l for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3 (c) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/4 and -103\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36671794 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -20*s**2 - 4 + 5*s + 16*s**2 + 0 - 1 + 1. Let g(n) = 9*n**2 - 11*n + 9. Give 6*g(f) + 13*v(f).\nAnswer: 2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24067.\nAnswer: 41, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*w + 20, 3*w + 2 + 22 = -4*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -957100 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -6 - (5 + 2 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38\/9 in -7, 1\/64, 0.3, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 419 = 399 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99326725?\nAnswer: 5, 1249, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 3*d + d + 58840 - 57663 + 5*d.\nAnswer: d + 1177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 180\/315 + 8\/(-14). Solve f + 10 = 10*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2. Let q(g) = 2*g**2 + 21*g + 54. Let h be q(-17). Let v(f) = h*f - 11*f - 88*f. What is v(c(x))?\nAnswer: -176*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, u: 1, k: 4, h: 6, t: 1, j: 5}. Give prob of picking 2 k and 2 h.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 4. Suppose -n = -131 + 130. Let t(i) = 1. Calculate n*r(j) + 4*t(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 659190461371\/126 + -36675186556\/7. Let a = r + 7641819. Let w = a - -1546\/7. Find the common denominator of w and 1\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*-1057.555\nAnswer: 14805.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 473*d + 19415. Calculate j(-39).\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 8814?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:25 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 10:04 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -7, 457 in descending order.\nAnswer: 457, 18, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.134135 and 300?\nAnswer: 297.865865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((315\/(-276))\/7)\/(2560\/4096).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -45158\nAnswer: 45158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 3*h + 207. What is the units digit of d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3\/13 + 388*l**2\/13 - 135470*l\/13 - 1534456\/13 = 0.\nAnswer: -371, -11, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-735*c + 132*c + 380*c - 880*c)*(0*c**2 - c**2 + 3*c**2) to x + m*c**3 + s*c + g*c**2 and give m.\nAnswer: -2206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 + 0*k + 1 - 2*k + 0. Let w be g(1). Let x = w + 4. Put 1, x, 4 in descending order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w**(-3\/4)*w)))*w**(-1\/5))\/(w**(-3\/8))**(-24\/13) assuming w is positive.\nAnswer: w**(-37\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4206 - 1864. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (1 - 0) - 58?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j - 2. Let l(k) = -581*k + 8 + 279*k + 293*k. Let f(t) = -7*b(t) - 3*l(t). Suppose g + 3*g = -28. Determine f(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Suppose 4*h - 40 = -h + 4*q, 3*h = -b*q + 24. Let r(y) = -y**3 + 7*y**2 + 9*y - 12. Let i be r(h). Sort 3, 4, i in increasing order.\nAnswer: i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2. Let i(v) be the third derivative of 7*v**4\/3 + 3*v**3\/2 + 2*v**2 + v. Let p(t) = -1064*t - 168. Let b(x) = -56*i(x) - 3*p(x). Give b(l(a)).\nAnswer: -224*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 45*t + 5. Let p be h(8). Let w = 45 - p. Let l be (-11025)\/(-14)*w\/6. Round l to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 5*r**2 - 10*r - 19. Let w be g(-5). Suppose -351 = 4*k - w*k. Calculate the remainder when k is divided by (-18)\/(-5) + (-2)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -0.1, 2, 8, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.43. Suppose -13 + 52 = -13*s. Let l be (s\/(-4))\/(6\/32). Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/(-21))\/(-7)*(-21)\/35?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.003 + 3.103. Let o = -4.1 + m. What is the nearest to o in 1\/5, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4166115*p + 68852929 wrt p?\nAnswer: -4166115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -0.4 (c) 9\/7 (d) -2 (e) -0.463 (f) -1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**3 - 18*o**3 - 4*o**3.\nAnswer: -37*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (((-116)\/(-16) + -7)*76 - 7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1824 + -1815. Solve 0*x = -m*x - 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**3 - 26*p**2 + 50*p - 14. Let d(t) = -t**3 + 5*t**2 - 10*t + 3. Let h(c) = 16*d(c) + 3*z(c). Factor h(b).\nAnswer: 2*(b - 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*j = 18, o - 3*j + 5 = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {a: 2, r: 5, f: 3, w: 6, b: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 1. Let j(p) = -p + 9. Let w(d) = 5*d - 41. Let i(v) = 9*j(v) + 2*w(v). Calculate 5*i(k) + 5*u(k).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p - 28 - 302 = 0. Let b be -4 + (11\/p)\/(1\/(-4)). Which is greater: b or -455\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33535 and 0.07.\nAnswer: 2347.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c - 18*c - 115 = 4*b - 9, -2*b = -c - 5*b - 72 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/5 and -40\/113044219?\nAnswer: 565221095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-15) - (-2)\/(-10). Suppose 4*i - i = t, -56 = -3*o + i. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -467, -971, -1527, -2135, -2795, -3507?\n\"Answer: -26*o**2 - 426*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111101000 (base 2) in base 7?\nAnswer: -26554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 124765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015 is divided by 250?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189 - -1073. Let c = 1266 - q. Let v = 0.2 + 0. Sort v, -2\/5, c, 5.\nAnswer: -2\/5, v, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 + 178. What is the remainder when 177 is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-7))\/(350\/(-3675)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 4*t**2 + t. Let o be n(4). Let h(g) = 0 - g - 5 - g**2 - o. Let p(x) = x**3 - 5*x**2 - 6*x. Let b be p(6). What is h(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*l = -69*l - 13260. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)\/o)**22*(o*o**0\/o)**46)**2 assuming o is positive.\nAnswer: o**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5032)\/4403)\/((81\/7)\/3))\/((-2)\/(-3)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (7 - (17 - 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/177240 and 79\/16?\nAnswer: 354480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 22*y + 80. Let m(g) = 6*g**2 + 22*g - 78. Calculate the remainder when u(0) is divided by m(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 15) to base 10.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 5*m + 5. Let k be j(6). Let g = 61 - k. Suppose -14 + g = 2*s. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 310.9.\nAnswer: -186.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 - -0.2. Which is the closest to 2\/3? (a) -4\/7 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 532 and 20?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -56) + (-5 - -3). Is c bigger than 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/12*-2*(-6)\/27.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + p**2 - p - 4. Determine k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2236*y = -2238*y - 78*t - 934, -3*y + 63 = -5*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 5. What is the smallest common multiple of z(-6) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542050 (base 6) to base 4.\nAnswer: 22313232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 1\/4*w**4 + 0*w**3 - 1\/2*w**2 + 7*w + 2. Calculate the smallest common multiple of l(0) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 6*q**3 + 0*q**3 + 2*q**3 + 7*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53992 is divided by 4497.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*a + 4319 = -4846 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 4, 0.12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 138 and -166947.77804.\nAnswer: -166809.77804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 146122724 <= 146122726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*f**2 - 2\/5*f.\nAnswer: 2*f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12024438 is divided by 1642?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111110000000100010 (base 2) in base 6?\nAnswer: -15021254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2.2, 7\/125 in descending order.\nAnswer: 12, 2.2, 7\/125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -68*p. Let k(s) be the third derivative of 3*s**4\/4 + 3*s**2 - 132*s. What is y(k(j))?\nAnswer: -1224*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 55898\/71115 - -4\/2155. Let c(t) be the first derivative of -2\/55*t**5 - n*t**3 - 72\/11*t + 5\/11*t**4 - 60\/11*t**2 + 31. Factor c(o).\nAnswer: -2*(o - 6)**2*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/3))**(-19\/5)\/(o\/(o\/(o*o**2*o))*o**1))**22)**13 assuming o is positive.\nAnswer: o**(-26884\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 899, 1807, 2715?\n\"Answer: 908*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -768, -1234, -1514, -1590, -1444?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqoo when four letters picked without replacement from {p: 3, l: 10, q: 2, o: 5}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 826 = 3*r - r. Let i(q) = 413 - r - 10*q. Let p(y) = -y**2 - 2*y + 2*y. Give i(p(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37\/3 in -0.1, -1\/21, 1\/5, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - (-1 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 2366, -0.7, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369979036 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-9 - -16) + -18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4034867, 4034869, 4034871, 4034873?\n\"Answer: 2*w + 4034865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7588661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -17*w**7\/210 - 7*w**4\/6 - 5*w**2. Find the second derivative of g(n) wrt n.\nAnswer: -204*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 11*v - 5*m + 30, -4 = -m. Solve -3*u = -5*p - 12, u = -u - v*p + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 67*p**6\/40 - 7*p**4\/12 - p**3\/6 - 87*p**2. Find the second derivative of m(x) wrt x.\nAnswer: 1206*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -168766 - 1?\nAnswer: -168767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/3*(-72)\/(-63)*(-23)\/(-552).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*a = 46*a + 4212. Calculate the remainder when 322 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = p - 7, 4236*r - 21 = 4237*r - 6*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 2*n - 4*d - 20, 3*n - 4*d = -8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 34 = -4*j, r + 2 = -5*j + 1. Let c be (-2)\/r + (-13)\/3. Suppose -p + 4*g = 2*p + 23, 4*g - 8 = 0. Are p and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {i: 9, d: 2, e: 6}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.61785 + 3.6002283. Round r to four decimal places.\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - 30*d**2 - 14*d - 80. Let y be g(-16). Let i = y + -627. Calculate the remainder when 74 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8169*y**2 + 11*y - 18. Let n be s(-6). Round n to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783719.\nAnswer: 3, 7, 23, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26870949 to the nearest integer?\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*a**3*d + 2*a**2*d**2 + 2*d**2 - 4182*d - 2 wrt a.\nAnswer: -102*a**2*d + 4*a*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g*g**(-2)*g*g)))**(3\/7))**(2\/53) assuming g is positive.\nAnswer: g**(12\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13904594660 - -2824\nAnswer: -13904591836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = 1085 + 510. Solve l*s - 216 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffx when three letters picked without replacement from {x: 1, f: 19}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-5) - (-28)\/35. Let g(z) = -3*z + 1. What is g(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16089558 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -374216 (base 8) to base 11.\nAnswer: -89054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00273698 rounded to 4 decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + q + 97. Let j be x(0). Let i = -90 + j. Let m = 1652\/3 + -545. Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 10:21 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 81053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2\/4 + 579*a\/4 + 29 = 0 for a.\nAnswer: -1\/5, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3215940 by 2.\nAnswer: 1607970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -91, -110, -145, -196, -263?\n\"Answer: -8*f**2 + 5*f - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724341 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, q: 4}. Give prob of picking 3 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, c: 9}. Give prob of picking 1 s and 3 c.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.1131.\nAnswer: -0.3393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -64.9945, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5 + 1400*q**4 + 15724*q**3 - 286598*q**2 + 232437*q + 533358 = 0.\nAnswer: -21, -1, 2, 9, 1411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 5*d**2 - 3*d**2 + (4*d - 3*d + 0*d)*(2 - 8*d + 10*d - 5) + (103 - 103 + 57*d**2)*(-1 + 2 + 1).\nAnswer: 115*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 4*z - 1. Let g be r(5). Which is the closest to 0.3? (a) 0.3 (b) 5\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 - 3*g + 22. Let p be x(9). What is p rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 576 and 530687520?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19.9, -2\/7, 818 in decreasing order.\nAnswer: 818, 19.9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1061*w**3 - 11*w**2 + 3*w - 41. Let o(r) = -1059*r**3 + 9*r**2 - 2*r + 35. Let d(u) = 2*i(u) + 3*o(u). Find the third derivative of d(x) wrt x.\nAnswer: -6330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n)\/(n*n**(1\/2)\/n)*(n\/(n**5*n*n))\/n*n*n**(-12)*n assuming n is positive.\nAnswer: n**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 - 467. Let v = 273 + m. Which is the nearest to 2? (a) -1 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1463\/5 + -2889\/10. Calculate the common denominator of l and 107\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + h. Let g be l(-3). What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1484 - -6421. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-970)\/80 + 12)*4\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2124 - 2709 - 8966 = 268*h + 15105 for h.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 247 - 103. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 408048c?\nAnswer: 4080489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832589 is divided by 4580?\nAnswer: 3609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-9 - 9) + 90.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 63, -2\/13, -0.6189.\nAnswer: -4, -0.6189, -2\/13, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -1*sqrt(1872) - 1*sqrt(91)\/sqrt(7)) + -5)**2.\nAnswer: 120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15704743*v**3 + 2*v - 1865360?\nAnswer: 94228458*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545140.\nAnswer: 2, 5, 23, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.8908 times 37?\nAnswer: -1253.9596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)**(-3\/49))**(-43) assuming n is positive.\nAnswer: n**(129\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(sqrt(833)*1 + -1) + 5)**2.\nAnswer: -196*sqrt(17) + 3382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15423 - 77113\/5. Put -2\/3, -1, -2, a, -18 in descending order.\nAnswer: a, -2\/3, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1f5f7 (base 16) to base 8\nAnswer: 372767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ess. Give prob of sequence ss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35237189 is divided by 162?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from dssdudduis?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(3))**2 + (sqrt(30)*2)\/sqrt(10) + 2*(sqrt(75) - 6*(sqrt(75) + sqrt(75) + -1 + sqrt(75)))**2.\nAnswer: -2038*sqrt(3) + 43419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -98, -101, -106, -113?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 15. Let m be p(-14). Suppose -10 = -3*n - 2*n. Which is greater: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {e: 3, q: 4, l: 4, y: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*p + 6855*p - 39595 = 181452 + 311394 for p.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -151*b**5\/20 - 31*b**4\/2 - 2*b**2 - 7*b. Find the second derivative of o(t) wrt t.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*j + 8, -4*j - 12 = -j - 4*m. Which is the biggest value? (a) 5 (b) -6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = r + 12, -5*r - 72 = -4*m. Let d(q) = 15*q**2 - 4*q - 4. Let l be d(4). Suppose -5*u - l = -670. What is the highest common divisor of u and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y + 93*y + 332 = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*6*(sqrt(77) - sqrt(77)*-6))\/(3*sqrt(176)*6)*-4)**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36075527?\nAnswer: 89, 405343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(10)*-2)\/(-2*(3*sqrt(605) - sqrt(605))).\nAnswer: sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 7725?\nAnswer: -7728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 20, 175, -54, -2\/11 in ascending order.\nAnswer: -54, -12, -2\/11, 20, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 1644.\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 0 + 0*n**3 - 1\/15*n**6 - 1\/12*n**4 + n + 0*n**5 + 0*n**2. What is the third derivative of j(c) wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 + 101.78. Let x = c - -3.22. Let z = -26\/9 + 8\/3. What is the closest to 2 in x, z, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110001001 (base 2) to base 13\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 5*p + 2*p + 25*p - 283 + 283 + (-5 + 1 + 5)*(2*p - p + 0*p) + 2*p + 0 + 0 + 56*p - 454 + 454 + (2*p - p + 0*p)*(0 + 1 - 3) as b + o*p and give o.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -42374*a**2 + 2*a - 20. Let w be c(3). What is w rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 1.4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-26)\/(-14) + -2). Let o = u - 4. Suppose 10 = -r - o*q - 0, -r + 3*q + 14 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (64 - -1)*(-4932)\/(-90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*c + 2*c - 15, 3*c = -3*l + 54. Let m = l + 2. Let u be m\/(-7) - (-7 - 1). Solve 5 = -5*j - 2*p - 0, -u*j + 2*p + 15 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -12411.1?\nAnswer: 12410.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*h + 2*m = 46, 3*h + 10*h - 7*m = 43 - 164 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2\/17 - 26880*r\/17 + 202014 = 0?\nAnswer: 129, 13311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 = -2*w, -3 = -4*q + w - 7. Suppose -5*j - 2*b - 3 - 2 = 0, -2*j = 5*b + 23. Let x be (j\/2 + 0)*24. Solve q*s = -3*s + x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 11 = -1, 3*x = -m + 8. What is the least common multiple of m and (8 - -4) + -3*1?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4368751.\nAnswer: 4368751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 11*y - 2. Let n be g(-12). Suppose -3 - 37 = -2*p + k, -p - 2*k = -n. Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**3 + 7*o**2 - 27*o + 4. Let b(z) = -7*z**3 + 8*z**2 - 28*z + 5. Calculate -4*b(u) + 5*l(u).\nAnswer: -2*u**3 + 3*u**2 - 23*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(588) + 2*sqrt(588)*2 + sqrt(588))\/(-1*sqrt(196)*2 - sqrt(196)*2*-3).\nAnswer: 11*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400024438 + -0.6?\nAnswer: 400024437.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-27) + -15 + (-4066)\/(-513))*(-366)\/21.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 + 32*y**2 - 16*y**2 - 10*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**2 - 22590*v + 292318.\nAnswer: 2*(v - 13)*(4*v - 11243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e33ce (base 15) in base 11?\nAnswer: -2136967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*i, -4*r - 3 = 5*i + 4. Suppose 6 - 16 = -2*p. Suppose -4*w = -17 + p. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 2\/3 (c) -795 (d) 3 (e) -0.1 (f) 2 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 5*l - 7. Suppose -2*w - 7 = -3*i - 0*w, -i - 15 = -5*w. Let m be p(i). Let y = 5 - 11. Does y = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 3)*(-8 + 17*f + 13*f - 29*f) + 5*f - 2*f + f.\nAnswer: 5*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -3*h + 60. Let x = -8 - h. Let j(m) = m**2 + 3*m - 7. What is the remainder when j(-7) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/7)\/m*m**(3\/2))\/(m**(-4)\/(m\/(m*m\/((m*m\/((m*m**2\/m)\/m*m))\/m*m*m*m))*m)))\/(m**2*(m\/(m\/(m**(3\/5)\/m)))\/m*m**1\/m**2) assuming m is positive.\nAnswer: m**(493\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.31564 plus 3.19666?\nAnswer: -158.11898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -671 - -440. Let j = 231 + y. Is -3\/166 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 - -0.049.\nAnswer: -1.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.1. Let z = -67343.6 + 67344. What is the biggest value in 34, z, p?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 1\/((-3234)\/9706). Let r = 1971\/4312 + n. Find the common denominator of r and 25\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20161, 21042, 21901, 22726, 23505, 24226, 24877, 25446?\n\"Answer: -2*m**3 + m**2 + 892*m + 19270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, 16, 74, 196, 406, 728, 1186?\n\"Answer: 4*y**3 - 4*y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19928 by 2.\nAnswer: 9964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 61, 59, 47, 19?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -438024 divided by -146008?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 7*a**4)*(-3 + 2*a + 3) + 2*a**2 - a**5 - 2*a**2.\nAnswer: -15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 + 5*c + 6. Let p(a) = -17*a**2 + a - 2. Let t(k) = -22*k**2 + 2*k - 2. Let u(s) = 4*p(s) - 3*t(s). What is 8*u(v) + 3*x(v)?\nAnswer: 5*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1837 + 121 = -26*u. What is the remainder when u is divided by 57?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**3 - h**2 + 1. Let j be x(1). Let q = 1 - 1. Put 0.1, j, q in decreasing order.\nAnswer: j, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-32))\/((-14)\/(-112))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*u - 1488 = 161*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-45)*5\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*-1*sqrt(17) + sqrt(17) + (sqrt(17) - (sqrt(306)\/sqrt(6))\/sqrt(3))**2 + (-5 + 0 + sqrt(272) + sqrt(272) + -2*sqrt(272) + sqrt(272) + -5)**2).\nAnswer: -744 + 146*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 381 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/5494244 and 1\/13948.\nAnswer: 60436684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 1, i: 2, c: 1, y: 1, l: 1}. Give prob of sequence lcfi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - ((-16 - 11) + 117).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.7 (b) -4 (c) -12 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5 = -3*s, 44*f = 47*f + s - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -43, -2, -3, -247.\nAnswer: -247, -43, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2170099*f**2 + 7676*f + 10 wrt f.\nAnswer: 4340198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-2)\/(70*28\/840).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4)*o**4)\/(o*o*(o\/(o\/(o*o**10)))\/o*o*o*(o**(1\/7)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-235\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7165.034 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/115 - 428\/(-322))*-1)\/(3\/(-4)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39 + (-22 - -63))*329421\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1772)\/(-8) - 2 - (-3)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3\/8))\/(m*m**6*m))**(-7\/5)*m**5\/m**1*(m*m**(-1)*m)**23 assuming m is positive.\nAnswer: m**(1451\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/464 and -19\/28.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millisecond in microseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*o**4*w**3 + 29931*o**3*w**3 + 4*o**2*w**2 - 4*o*w + 858325*w**3 wrt o.\nAnswer: -1848*o*w**3 + 179586*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -181807182, -363614365, -545421548, -727228731, -909035914, -1090843097?\n\"Answer: -181807183*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 118761874 and -13.6552.\nAnswer: 118761860.3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -116330 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4\/7 - 384*d**3\/7 - 112*d**2.\nAnswer: 4*d**2*(d - 98)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/2 - 510*f + 43350 = 0. What is f?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 4*l**2 - 2*l - 6. Let y be t(-4). Suppose 5*a - 684 = 3*a + 3*i, 0 = -5*a - 3*i + 1668. What is the units digit of a\/15 + y\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 98\/24 - 26\/39. Which is smaller: 120 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 divided by 10?\nAnswer: 142\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/1344 and 43\/576?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 844\/573 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.06761 + -0.06761. What is the closest to -0.071 in -4, c, 9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -47. Let n(g) = 5*g**2 - 6*g + 6. Let q(f) = -5*f**2 + 5*f - 5. What is l*q(h) - 5*n(h)?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 1)\/(159\/(-477)). Let j(t) be the first derivative of 1\/3*t**3 - o + 0*t**2 + 0*t. Let n(z) = -14*z**2. Calculate j(n(u)).\nAnswer: 196*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -105891, 2?\nAnswer: -105891","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 535*i**4 + 2*i**2 - 3*i - 66703 with respect to i.\nAnswer: 2140*i**3 + 4*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 18*l**2 + 2. Let m be z(-18). Find the third derivative of 125*r - 125*r - 18*r**m - 19*r**6 wrt r.\nAnswer: -2280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58698432 and 63.\nAnswer: 410889024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Let m(a) = 15*a**2. Let x(w) = 12*g(w) - m(w). Let i(n) be the third derivative of n**4\/12 + 2*n**2 + 91. Give x(i(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 40 times -0.13571\nAnswer: -5.4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4*(0 + sqrt(242) + -1) - ((sqrt(120)\/sqrt(6))\/sqrt(10) + 1 + (sqrt(2) - sqrt(2)*1))))**2.\nAnswer: -516*sqrt(2) + 3734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*g = 5*h - 5, -3*h - 4*g = 11. Suppose -h*c + c + d = -33, c - 2*d - 21 = 0. What is the tens digit of 5\/(3 - c\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 1, q: 2, y: 1, o: 1}. Give prob of sequence ol.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q - 1. Let y be m(-1). Let k = y + 12. Is k != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2026 - -2488. What is the greatest common divisor of 616 and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 556\/97 - 77269\/873. Let c = 82 + o. Let f = -1\/2585 + -214553\/5170. What is the common denominator of c and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**4 + 16 - 16 + (19*w - 5 + 5)*(-8*w**3 - 15*w**3 + 4*w**3).\nAnswer: -367*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:30 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1764\/105)\/(-28))\/(1\/(-10)) - -11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 7*k**2 - 8*k + 15. Give p(-5).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8163828 years to centuries.\nAnswer: 0.008163828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155635 and 1377?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58163563 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + v = -80 - 0, v - 5 = 0. Let d = a - 15. Let j(k) = 6*k - 2. What is j(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 886?\nAnswer: 886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173*l**3 - 5*l**2 + 9.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 442.77 - 441. Let g = m + -2.07. Which is the smallest value? (a) g (b) -0.01 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 3:37 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/2)\/216*78\/78.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 17, u: 1}. What is prob of picking 4 n?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 500811 (base 9) in base 2?\nAnswer: 1001000001111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130300201 (base 4) to base 2.\nAnswer: -11100110000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose -d*y = -5*y + 33. Let b = y - 7. Calculate the remainder when 7 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 9450825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4 + 12634*u**3 - 40106121*u**2 + 1273709344*u - 10163865856 = 0. What is u?\nAnswer: 16, 6301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 184450870 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 7*r**2 + 11*r + 5. Let l be y(4). Which is smaller: l or 40\/21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.682434463 to 3 decimal places.\nAnswer: 3.682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s**2 - 3*s + 1. Let p be q(1). Suppose -3*v - 20 = c - p*v, -4*c - 4*v + 40 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-3 + 3 + 10)) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5735614 (base 8) in base 4?\nAnswer: 11323232030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-one halves of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -850*u + 8425. Give z(10).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17540*z - 17540*z + 24 - 78*z**2 to the form p + s*z**2 + w*z and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4 - 885\/(-10). Is c*1\/(25\/15) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 84 = 4*a, 3*a - 60 = -0*a + 2*w. Calculate the highest common factor of a and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4659421.6 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 30 = -18*r. Suppose 0 = 6*p - r*p - 132. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2348 and 32?\nAnswer: 18784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1169, 1\/7, 0.3 in descending order.\nAnswer: 0.3, 1\/7, -1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*u + 0*u - 4*u**4 - 27*u - 17*u + 0*u + 12*u**2 - 24*u**5 wrt u?\nAnswer: -1440*u**2 - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 * -3.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19711 from -450388877.\nAnswer: -450369166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*z + 99*z - 109843 = -93763 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1111414.368 - -653.632. Let w = -1112067.1999984 + t. Let p = -0.8 + w. Round p to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*h**2 + 32*h - 32*h)*(2*h**2 - 1 + h**2 - h**2 + (0*h + h + 0*h)*(-2 + 2 + 2*h) + h**2 - 4*h**2 + 2*h**2 + 0*h + 0*h - 2*h**2).\nAnswer: -14*h**4 + 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 + ((-455178)\/308 - 0). Let d = m - -1480. Calculate the common denominator of d and 103\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Suppose 2*j = -p + 8, -14*j + 16*j = 3*p - 8. Let k(r) be the third derivative of 1\/12*r**4 + 0*r**3 + 0*r + 0 + 24*r**j. What is k(q(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 6366210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -1a79?\nAnswer: -1a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64315500 a multiple of 795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 7*c - 6. Let z be j(7). Let y be 122\/6 + 2\/z. Suppose -y + 61 = 4*s + 5*h, 2 = -2*s + 2*h. Solve -20 = -s*b - 0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -10239318.\nAnswer: -5\/10239318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmeddyedmemmdm. What is prob of sequence emym?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 10)*(2*b**3 + 2*b**3 - 2*b**3)*(0*b**2 + 0*b**2 - b**2).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*m = 5*f + 4, -2*f + 4*m + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 - 97. Suppose 0 = 2*c - v - 4, v + 3 + 1 = p*c. What is the second derivative of -4*q - 2*q**2 + 4*q**2 + c*q**2 - 13*q**2 wrt q?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 289579702.000974 - 289580704. Let h = i - -1002. What is h rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-25) - 9 - -10?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 2*n**3 + n**3)*(14*n - 1 + 1) - 4*n**4 + 3*n**4 + 0*n**4.\nAnswer: -29*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -21 + 22 - 127.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2. Let h(y) be the third derivative of y**5\/60 - 14*y**2. Calculate p(h(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n = 17*n + 3*b - 5, 0 = 4*b + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29714296506107.29999896 - 29714299409455. Let w = 2903348 + i. Let b = w - 0.3. Round b to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*x = 2760 + 326, -3086 = -2*i - 3*x. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32\/5 of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/((-10)\/60)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -18. What is the hundreds digit of 3350\/h + 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/40)\/(4\/80*-2). Find the third derivative of 159*l**3 - 2953*l**z - l - 2*l + 3*l + 2937*l**2 wrt l.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*w = -2609 - 25219, -2*w = v - 6952. What are the prime factors of v?\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**2 + 1. Let i(j) = 957*j**2 + 15. Give -2*i(x) + 30*r(x).\nAnswer: -2094*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17199, 17229, 17277, 17349, 17451?\n\"Answer: z**3 + 3*z**2 + 14*z + 17181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.140204 * 112\nAnswer: -15.702848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111 + 3*z**4 + 111 - 3*z**4 - 2*z**4 + 3*z**4 + (-3*z**2 + 2*z**2 - 2*z**2)*(z**2 - 5*z**2 + 2*z**2) - 3*z**3 + 3*z**3 + 2*z**4 + 4 - 2*z**4 - 4.\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 9 + (12 + -5 - 8) - 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466958 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s + 2. Let c be v(2). Suppose -8*y + 137 = -55. Let w = c + y. Solve 0*t + w = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -4 + 0 + 2. Suppose -x + 2*k + i = 1, -4*x - 2*k = 14. Is ((-43)\/x)\/(8\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302231 (base 4) in base 14?\nAnswer: -2965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -35\/3. Suppose -378*m = -398*m - 320. Put 3, p, 2, m in descending order.\nAnswer: 3, 2, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = s - 326 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - k - 2. Let d(r) = r**2 + 14*r + 9. Let j be d(-7). Let s be (4\/(-8))\/(4\/j). Suppose -10*p = -s*p. What is v(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + 2 + b + 3*b)*(1 - 4 + 0).\nAnswer: -27*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*w + 12. Suppose 6*t = -0*t - w. Suppose 2*v = v. Is v bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -388*b**2 + 2364*b - 2360. Let c(q) = 516*q**2 - 2364*q + 2360. Let v(g) = -4*a(g) - 3*c(g). What is r in v(r) = 0?\nAnswer: 1, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veveeeeveeveee. What is prob of sequence ee?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1.3 (c) -43\/8 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15721 + 3.5.\nAnswer: -15717.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*4\/30)\/(3\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 87\/29 + -9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*b - 7*b + 0*b - 2*b - b + b + 3*b + b - 5*b + 0*b + 0*b - b + (3*b + 2*b - 3*b)*(-5 + 4 + 0) - 3 + 2*b + 3 + 3*b - b + b.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 13*u - 8. Let a be y(12). Let l be 23\/3 + a\/(-6). Let n(m) = -m + 10. Let h be n(l). Solve -2*p - f = -1, -h*f - 5 = 5*p + f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 38. Suppose -6*j + 2*j - 80 = 0. Let v be 6\/(-15) + (-8)\/j. Solve v = -5*o + r, 9 = g + 5*o - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3416112 (base 7) to base 10.\nAnswer: 424692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*o + o - 60, -33 = -o - 5*v. Suppose o*g = -62 + 182. Solve -2*w - y + 4*y - 25 = 0, 3*y - g = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*a - 0*v - v - 198 + 164, 0 = a - 9*v - 106 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**5\/20 - 2*z**4\/3 + 7*z**3\/6 + 5*z**2 + z. Let u be 11 + 15\/(-10)*(-32)\/(-12). Is 10 a factor of k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -1\/4, -4, 16, -107, 0.5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.33 - -31.33. Which is the nearest to i? (a) -4\/9 (b) 5\/6 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338922 by -2.\nAnswer: 169461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 7, r: 6, m: 4, q: 1}. What is prob of sequence ar?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -12606.9847 to the nearest ten.\nAnswer: -12610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.12937813 rounded to 3 decimal places?\nAnswer: -2.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4151161?\nAnswer: 7, 347, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**5 + 2*l**5 - 2*l**5 - 6*l**3)*(0 - 2 + 3).\nAnswer: -2*l**5 - 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 2*j**2 - 4*j**2 + 2*j**2 - 5*j**2 - 4*j**2 + (1 - 2*j - 1)*(j + 0*j + 0*j) to the form c*j + d + m*j**2 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 + -7)\/(-2))\/(2\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/120 + s**4\/12 - s**3\/3 + s. Let q(u) be the second derivative of i(u). Let b = -1 + -1. Give q(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -708*l**4 + 89907*l**3 - 263649*l**2 + 172218*l + 2232 = 0. What is l?\nAnswer: -3\/236, 1, 2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 28*c - 508. Let m be p(18). Let b(w) = w**3 - 4*w**2 + 8*w + 6. Let k(t) = t**3 - 3*t**2 + 8*t + 5. What is m*k(z) + 3*b(z)?\nAnswer: -z**3 - 8*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/33 and 69\/278212?\nAnswer: 834636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 * -7.34.\nAnswer: 1.3212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/13)\/3 + (47 - (-1879005)\/(-40755))?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d + 41537*d**3 - 41521*d**3 - d**2 + 3*d**2 - 2*d**4 - 2*d to l*d**4 + v*d + h + q*d**3 + f*d**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 3*m - 15, 4*h - 4*m - 10 = -6*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867567 is divided by 987.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2887312 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192 (base 15) to base 5.\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/160 and ((-3)\/(-192))\/(2 + 157\/(-78)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 136, 4, 2\/27, 0, -1.19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 5352300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 574a (base 14) in base 16?\nAnswer: 3b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116 - 72. Let a = 114 + -59.4. Let f = g - a. Round f to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.326, -4\/5, 1\/5, 4, 0 in increasing order.\nAnswer: -4\/5, 0, 1\/5, 0.326, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22751402.\nAnswer: 2, 347, 32783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 15 = -3*z, -2*c + 23 = 5*z - 2. What is the nearest to 3 in 5, -5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -7*n + 9*n, -n - 4*y = 0. Suppose n = -7*h + 4*h + 795. Does 53 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*o + 56*o + 2241 + 1284 = 64*o for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 130174.3 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 33*c**2 - 96*c - 36. Let d be z(12). What is the highest common factor of 51 and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - x - 28*x = -12*x - 1288 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031 a factor of 373970303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 258349407 to the nearest 1000000.\nAnswer: 258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -4, 2, 943.\nAnswer: -4, 2, 86, 943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**3\/3 + 4. Let k be 4\/74 - (-2160)\/1110. Give c(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 582 + -415. What are the prime factors of h?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(175) + 1 - sqrt(7)).\nAnswer: 5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11)*v**8)\/(v**(1\/3)\/(v\/v**(-5))))**(-1\/9) assuming v is positive.\nAnswer: v**(-457\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 599*x - 11002. Let v be d(-19). Solve -3*r - 14 = 2*k, -2*k + v = 348*r - 353*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 63 - 75 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -192, -193, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*g**2*j**3 + 916*g**2 + 982*j**3 - j**2 wrt g?\nAnswer: -8*g*j**3 + 1832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-130)\/39)\/(4\/(-6)). Suppose -x = -m + 12. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**4 - 375*q**2 + 350*q + 720 = 0.\nAnswer: -9, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 + (-42)\/609 + (-9678)\/957?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49787.\nAnswer: 49787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - ((1 - 1) + 3). Is 890\/6 + v\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77547436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40.2839 at least 0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 3*f**2 - 7*f - 1. Let j be x(5). Let w = -8 + j. Solve -4*r - 5*v = -2, v + w = -5*r - v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 39 - j**3 + 2*j**3)*(1 - 1 - 2*j) - 213*j**4 + 349*j - 349*j in the form q + b*j**4 + p*j + a*j**3 + d*j**2 and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4277 <= 4277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 127 = -7*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 85*z + 7985. Is 65 a factor of k(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 54 = 7*o + 2*d, -5*o = 2*d - 68. Let x be (-1)\/4 - 617\/(-4). What is the highest common factor of o and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1 (c) -19.1 (d) -2 (e) -104 (f) 13 (g) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5 + 103996*r**4 + 416084*r**3 - 936044*r**2 - 1664272*r + 2080240 = 0. Calculate r.\nAnswer: -5, -2, 1, 2, 26003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let l(o) = o**3 - 2*o**3 - 2 + 16*o + 4*o**2 - 15*o. Let m be l(4). Solve -m = -u - p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64860338 is divided by 530?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -1\/3*t**3 + 1\/4*t**4 - 1\/2*t**2 + 0*t + 3. Give q(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-15))\/(4 + (-1042)\/261). Solve -19 = -106*i + c*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118520439 is divided by 105.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -7*p**5\/5 + p**4\/4 - 58*p - 20. What is the first derivative of o(n) wrt n?\nAnswer: -28*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f + 6528. Suppose -4*t - 3*d + 2990 = 0, -5*t - 3*d + 1560 + f = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -376.95 - -376.85. What is the closest to w in 0.03, 2\/9, -0.137, 0.3?\nAnswer: -0.137","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 86*u - 1402. Let i be b(-64). Let h = 11 - 14. Let s be (-1)\/(-2)*-2 - h. Solve -s*n - i = 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 283*n**2 - 277*n**2 + 2 + 3 wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16069148?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4485*t**2 - 136*t + 136. Calculate the remainder when p(1) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**27\/(k**(-2\/11)*k*k*k\/k**(-1\/7)) assuming k is positive.\nAnswer: k**(-2307\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -5 (b) 1 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/120 + t**5\/3 + 19*t**4\/24 - t**3\/6 + 78*t**2. Let g be c(-19). Is -4\/29 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -3\/2 (c) 16 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 588 and 19663.\nAnswer: 1651692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Suppose -480 = -d*s + 260. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233048809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16231\/114 + 1429\/19. Let g = 67 + j. Let h = -88\/129 - -2\/129. Is h < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -113 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48663839 a multiple of 846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113*i - 5*i**4 - 120*i + 233*i + 55*i**2 - 50*i**3.\nAnswer: -5*i**2*(i - 1)*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13534062 (base 7) to base 14.\nAnswer: 250732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nny when three letters picked without replacement from {n: 2, w: 2, y: 5, u: 4}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 69846.\nAnswer: 209538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17141 - -17188. Solve 12*f - 59*f = -t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066587749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-1872)*9 + (-42)\/65. Sort 0.5, -1\/4, 2, -0.1, o in ascending order.\nAnswer: o, -1\/4, -0.1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33 (b) -0.5 (c) -0.05 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.61 - 102.605. Let v = -1247 + 1330. Let x = v + j. What is x rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 - 2*q + 3. Suppose 2*s - 2 = s. Let o = -1 - -1. Let r = o + s. What is z(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/8, -1\/5, 4\/5, 981.8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -24. Let a = h + -13.99936. What is a rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*p + 216 = 0, p - 3 = -8. Let z = -29 - -63. What is the remainder when l is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 87 = -5*j, -2*u - 125*j - 118 = -48*j + 198 - 49 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -141320 (base 5) to base 6\nAnswer: -43003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/3 of a century in months?\nAnswer: 27200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t**5\/5 + 2682*t**4\/5 + 6249*t**3\/5 - 1122*t**2\/5 - 6228*t\/5 - 312 = 0. What is t?\nAnswer: -2, -1, -2\/7, 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/3 + 166*y**2 + 13778*y + 1143574\/3 = 0. Calculate y.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 5, j: 2, p: 1, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160 (base 11) to base 2.\nAnswer: -10111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + (sqrt(19) - sqrt(57)\/sqrt(3)) + sqrt(19) - -1*sqrt(19)*-4) + 5*sqrt(1539) + -1 + sqrt(304) + 1)**2.\nAnswer: -520*sqrt(19) + 51401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2. Suppose 21 = 4*l - 2*l - u, -18 = -l - 2*u. Let z(c) = l*c**2 + 4 - 6*c**2 - 1 - 6. Give w(z(g)).\nAnswer: 36*g**4 - 36*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/486 or -2?\nAnswer: -1\/486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -27.86\nAnswer: -23.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 36*u**2 + 63*u - 294.\nAnswer: 3*(u - 2)*(u + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*l = -l - 879, 436 = 2*r - 4*l. What are the prime factors of ((-2)\/(-4))\/(2\/r)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 9. Calculate the remainder when f(-7) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9076054411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5080\/(-8128))\/(2\/(-48)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177074466?\nAnswer: 2, 3, 277, 106543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 2*b + 6. Let c be y(-3). Let o(u) = u**3 + 10*u**2 + 9*u + 12. Let t be o(c). What are the prime factors of (-3)\/(9\/t) + 42?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -16*v**2. Let t = -9 + -52. Let f = 57 + t. Let j(r) = r**5 - 17*r**2. Let o(w) = f*i(w) + 3*j(w). Find the third derivative of o(n) wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 15\/(-7) - (-1)\/7. Suppose 0 = z*s - 4*r - 792, -6*r - 10 = -8*r. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000990338 to the power of 1\/3, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5 - 152*x**4 - 3516*x**3 - 33616*x**2 - 126082*x - 95832 = 0.\nAnswer: -44, -11, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195 - 196. Let x = -13.07 - -0.07. Let u = -13.9 - x. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2629 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, 161, 3, 4, 39 in decreasing order.\nAnswer: 161, 39, 17, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391 - 344. Let s = o + -50. What is the nearest to 2\/57 in -1\/2, -5, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22099.5594 nanoseconds?\nAnswer: 0.0000000002557819375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13 and 4349.732325952?\nAnswer: 4362.732325952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131 - -130. Let n be -3 + q*7380\/(-28) - 1. Let w = 259 - n. Which is the third smallest value? (a) 6 (b) w (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)*1)\/((sqrt(4) - (sqrt(4) + sqrt(100) - sqrt(4)))*-5))\/(((2*sqrt(21))\/sqrt(7) - sqrt(3)) + (sqrt(3) - (sqrt(3) - sqrt(147)*1))).\nAnswer: sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 5:15 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q + 7*q - 7*q - 3.\nAnswer: 17*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*((sqrt(108) + 1)**2 + 1 + (sqrt(3) + 2)**2).\nAnswer: 240*sqrt(3) + 1755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 6742?\nAnswer: 673b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*((-39)\/(-9) + -4). Solve t*k = -3 - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n + 23. Let k(s) = -23*s + 68. Let m(c) = 11*j(c) - 4*k(c). Let d be m(7). Is d < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.15067.\nAnswer: 0.015067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 0. Let f = z - -1. Let u = 0.7 + 0.3. Which is the closest to f? (a) -1\/6 (b) 1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 161 = -3*r. Suppose -v - r + 19 = 0. Is -2 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -22\/13 (b) -3 (c) 5 (d) 35\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36354, 145470, 327338, 581958, 909330, 1309454, 1782330?\n\"Answer: 36376*q**2 - 12*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36740903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2085257 > -14596809\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 13 (b) 0.2 (c) -10 (d) 2 (e) 4\/3 (f) -140\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9))**(-20) assuming y is positive.\nAnswer: y**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 9:42 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 0.00596?\nAnswer: 0.39404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1370 and 97\/8883628.\nAnswer: 44418140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 1:53 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3330 and 229030?\nAnswer: 2061270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*7*(3 - 5). Let a(g) = g**3 - 14*g**2 + 5*g - 1. Let i be a(j). Let r = -47 + i. Calculate the highest common factor of r and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/3))**(-2\/127)\/((x**1\/x)\/(x*x\/(x\/(x*x**(1\/2))))))**(10\/9) assuming x is positive.\nAnswer: x**(9425\/3429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -473 + 1?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/sqrt(2) + 4 - sqrt(132)\/(sqrt(36)\/sqrt(3))) + 3)**2 - (-1*sqrt(121)*2)\/(sqrt(44)\/(sqrt(4) - sqrt(36))).\nAnswer: -4*sqrt(11) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(-47)\/(h**(-2\/11)*h*h*h*h**(-1\/9)) assuming h is positive.\nAnswer: h**(-1819\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.0157\nAnswer: -0.00314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 30, 19, -6, -51, -122, -225, -366?\n\"Answer: -u**3 + 2*u**2 - 2*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 2*p**2 + p**2 + (-3 - 2*p + 3)*(-p + p - 2*p) + (5*p**2 - p**2 - 2*p**2)*(-5 + 4 - 3) - p + 2*p**2 + p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12010*n - 12017*n + 24027*n - 73*n**3 + 19*n**2 to the form y*n + x*n**2 + a + j*n**3 and give j.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1895204 is divided by 2265?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + g - 1. Let u(i) = -23*i**2 - 2*i + 4. Give -2*n(t) - u(t).\nAnswer: 25*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 95890221 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oitt when four letters picked without replacement from {o: 8, i: 1, t: 9, c: 2}.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/6 - 13\/30. Let v = 8.1 + -8. What is the closest to 0.2 in n, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 3*c - 4. Let o be w(-4). Suppose -3 = 3*m - o. Is 2\/19 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 17. Let l be 3\/(-4) + 35557\/124. What is the highest common factor of l and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2055, 4105, 6155, 8205, 10255?\nAnswer: 12305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/162748 and 41\/12296.\nAnswer: 17251288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8. Let j = p - -1. Let a = 4.078 - 3.878. What is the nearest to -2\/3 in 1, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14743 + 29021. Is 121 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-2\/7)\/z*z)**(-1\/26)\/(z**(-1))**(-9))**(-1\/10) assuming z is positive.\nAnswer: z**(165\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -466, -442, -420, -400, -382, -366?\n\"Answer: -m**2 + 27*m - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -456*l**2 + 8*l - 1. Let a(w) = 455*w**2 - 6*w + 1. Determine 6*a(c) + 5*z(c).\nAnswer: 450*c**2 + 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2 = -q, -5*u + u - 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*d**3 - 78*c**2*d**2 - c**2*d - 2*d**5 + 308*d wrt d.\nAnswer: -6*c**2*d - 156*c**2 - 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197825409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372291*-1404.\nAnswer: -522696564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*p - 2*n, 2998*n - 2999*n = -4*p + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**3\/3 + 3*z**2 + 6*z - 2. Let g be r(7). What is the closest to -0.1 in 2, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*b - 1. Let a(z) be the first derivative of 44*z**4 - z**3 + z**2\/2 + 4*z + 18. Is a(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 6*c + 6. Let r be o(-8). Let k be (-2)\/r - 240\/(-50). Suppose 7*p + 11600000 = k*p. What is p rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30198.7 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 2*x**2 + 16*x**2 - 14*x**2 as b + d*x + f*x**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15028 take away -1.33?\nAnswer: 15029.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {r: 3, b: 6, d: 3, s: 1, n: 1, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1636621cm in millimeters?\nAnswer: 1.636621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) 426396 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Divide -174708 by 414.\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - 2*g. Let n = -3 + 1. Let h be p(n). Let m(z) = -2*z - 3. Calculate m(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**7\/2100 - c**6\/300 - c**5\/150 - 2*c**3 - 1. Let d(x) be the third derivative of y(x). Factor d(g).\nAnswer: -2*g*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6 + 1 + 0 + k + 3. Let n be b(6). Suppose 32 = -26*d + 72*d - 30*d. Solve -2*m + n = d*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 2*y + 1. Let z be q(2). Let n be 1\/3 - ((-202)\/6 + -1). Let c = n + z. 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: Expand (0*x**3 + x**3 + x**3)*(117 - 61 + 200 + (-2 - 3 + 3)*(0 + 2 - 1) + 1 + 4 - 3) + 33*x + 7*x**3 - 33*x + (-x - 2*x + 2*x)*(-x**2 + x**2 + x**2).\nAnswer: 518*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*l**2 - 410*l**2 + 239*l**2.\nAnswer: -489*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*h - 39, -4*h = -5*h - n - 15. Let m be (-42)\/4*48\/h. Suppose 5*r - 3*r = m. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131700000 rounded to the nearest 1000000?\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -0.3, 179\/21, -3 in ascending order.\nAnswer: -3, -0.3, 0.2, 4, 179\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 28*v + 60. Let b be n(28). Calculate the highest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**4\/8 + 8*q**3\/3 + 8*q**2. Let c be y(-6). Let u(v) = -v. Let m(h) = -2*h + 1. Let w(k) = -2*m(k) + 5*u(k). Determine w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -1, 1, 3, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -268.4 + 728.6. Let s = y + -527. What is s rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 * 47.\nAnswer: -2679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7908?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/14 and 61\/114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s + 64 = 92*s + 1387 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b - 46 = -5*o, 0 = 3*b + 3*o - 54. Find the third derivative of -857*d**2 + 869*d**2 + 2*d**3 - 1 - b*d**6 + 8*d**6 wrt d.\nAnswer: -1680*d**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29155036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 279, 2294, 7779, 18474, 36119, 62454, 99219?\n\"Answer: 290*r**3 - 5*r**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -379*o**2 + o. Let z be d(-1). Let q = z - -635. Let x = 425 - q. Calculate the greatest common factor of x and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01639783 to five decimal places.\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 1027, 1588, 2149?\nAnswer: 2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 10. Let t be -9 + ((-4)\/(-2) - 1). Let r be a(t). List the prime factors of (-11)\/((-1)\/r*-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.84 + -23. Let l = 0.04 - f. Let o = 50 + -56. Which is the closest to l? (a) o (b) -0.1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/3040 and 51\/156712?\nAnswer: 3134240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {v: 2, r: 2, s: 2, c: 2, u: 8, l: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 938.0457 millennia in decades?\nAnswer: 93804.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 343205 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 - 2*m + 1. Let k be f(-2). Let u(l) = -l**2 - 8*l - 5. Determine u(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -38)\/((-90)\/25 + 3). Let a be ((-2980)\/z)\/(-1) + 6\/39. Calculate the greatest common divisor of a and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(1\/18*2). Let i = -14 - -26. Suppose g = i + s. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/60 + 5*b**4\/24 - 2*b**2. Let n be f(4). Suppose n*z = 3*z + 64. Calculate the greatest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -1*sqrt(187)*1 + sqrt(187)*2*-5 + sqrt(187))\/((sqrt(1331) + -5*sqrt(1331))*4).\nAnswer: 9*sqrt(17)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*a - 108, 0 = -m + 2*a + 3*a + 44. Let o be (-550)\/5 + -1 - 1. Let t = o + 280. What is the highest common factor of m and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j**2 + j + 4. Let q be t(-3). Suppose 37*i - 42*i + 5 = 0. Is q\/4*(i + (346 - 1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 9 + 3*c + 10*c + 11*c**2 + 4.\nAnswer: 6*c**2 + 13*c + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4390, 6135, 7872, 9601?\nAnswer: 11322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2957*t + 173884 + 104074 for t.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Let z = p - 4.1. What is z rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61514 - 0.083?\nAnswer: 61513.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 279841\/2 + 1587*y**2 + 24334*y + 46*y**3 + 1\/2*y**4.\nAnswer: (y + 23)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, 4, -2, 0, 28 in decreasing order.\nAnswer: 28, 19, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 833.82303911 minus 7?\nAnswer: 826.82303911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15927 in 0.1, 3, -1\/85?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 3 (c) 205 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + y - 7 = 79, -2*w = -5*y + 53. Let p = w - -34. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 101431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 5*j - 22. Let a be b(8). Suppose 5*l = -y + 316, -a*l + 546 = 5*y - 1103. Suppose -2*z = -y + 11. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89478784 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -227*g**5 + 189*g**5 + 31*g**5 - 7*g**4 + 1 + 3*g**2 + (3*g**2 - 5*g**2 + 3*g**2)*(3*g - 3*g**3 - 3*g).\nAnswer: -10*g**5 - 7*g**4 + 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-4))\/((-2)\/1*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*4*(2 + -5 + 5*(1 + sqrt(343) + sqrt(343))))**2.\nAnswer: 448000*sqrt(7) + 54886400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/807 in -1\/12, -1\/4, -5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-7\/2)*j\/j**(-4))\/(j*j**(-40)*j*j\/j**(-37)*j*j*j) assuming j is positive.\nAnswer: j**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 62.0095. Round z to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 157*f - 152*f - 9 = 0, 3*q - f - 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2966 - -9540. List the prime factors of y.\nAnswer: 2, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -1\/3 (c) -2 (d) 0 (e) -119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*u + 323 = 514 + 427 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 28 - 9572. Suppose -2*b = -4*b - g. Round b to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 0*o + 0*o**2 + 1 - 1\/12*o**4 + 1\/9*o**3. Factor s(c).\nAnswer: -c**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000774679 rounded to 6 dps?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 79*x - 334. What is d(3)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -440944 - 1b?\nAnswer: -440960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -9)*(-3)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07 or 0.037507?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3004533 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 11 - 2)*(3*h + 27 - 14 - 14) in the form s + z*h and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 3*n**2 + 38*n - 32. Let x be y(8). Let i = x - 106. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*o + u + 901, o = 3*u - 447. What is o rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659183 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*l + 76. Let s = l + -16. Let p(a) be the first derivative of -a**4 - 4*a + 3. Let k(z) = -11*z**3 - 11. Calculate s*p(g) - 3*k(g).\nAnswer: g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**8\/28 - f**7\/10 - 3*f**6\/4 + 73*f**5\/20 - 7*f**4\/2 - 6*f**3 + 78*f**2. Let z(x) = 0. What is x?\nAnswer: -3, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*1 - (-43)\/(215\/18). Let l = 98.3 - 92. Let n = l + -1.3. Put m, 2, n in descending order.\nAnswer: n, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -5*w - 8*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175, -208, -265, -358, -499, -700?\n\"Answer: -2*m**3 - 19*m - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.196854 rounded to 3 dps?\nAnswer: -2.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(6\/26) - 0. Suppose 20 = -5*z, 57 - 13 = 2*q + 4*z. Let x be 4 + (1128\/360 - 4\/q). Solve 0 = 4*h - x - u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*b + 228 = 3*b, 5*w + b - 222 = 0. Calculate the greatest common factor of w and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times 119?\nAnswer: 4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*y + 314, -g - y + 172 = 4*y. Let m be 1\/(-9) - (-2332800018)\/g. Round m to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187438 is divided by 132.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1586 = -5*f + 2*w, -2*w = 30*f - 33*f + 954. Suppose 1290 = -315*u + f*u. List the prime factors of u.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvl when three letters picked without replacement from llvklkvll.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -276, -622, -1106, -1728, -2488?\nAnswer: -3386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 - 57. Let t = -2546\/69 + 312\/23. Let w = t + u. Which is the third smallest value? (a) w (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1458)\/90 + 17)*(990\/(-24))\/(-11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -54, -222, -502, -894?\n\"Answer: -56*k**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10087, -20579, -31141, -41809, -52619?\n\"Answer: -6*w**3 + w**2 - 10453*w + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 28 + -36 + 4 - 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.33938431 to one dp.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(1\/6)*l))\/((l\/l**(3\/2))\/l*l)*l**2\/(l\/(l\/(l**(-2\/7)*l)))*l*l\/(l\/l**(-6))*l*l**(-2\/15)\/l*(l**1\/l)**(-4\/5) assuming l is positive.\nAnswer: l**(-158\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 - 5*t + 4. Let q(r) = -6*r**2 + 6*r - 5. Let f(w) = -4*q(w) - 5*s(w). Suppose f(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 64?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yileyymoeel. Give prob of sequence oll.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 5 (c) -12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/z)**29*z**6\/z**(2\/5)*(((z*z**(2\/3))\/z)**(15\/2))**(-23) assuming z is positive.\nAnswer: z**(-1931\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:16 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 476504872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(612)*-4*4 - ((sqrt(612)*4 - sqrt(612)) + 3))*4)**2.\nAnswer: 10944*sqrt(17) + 3535056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3063036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*d - 3*d - 5*d)*(28 - 18 + 4)*(-2*d**3 - 4*d**3 + d**3) to the form w*d**2 + s*d**3 + g*d + y + q*d**4 and give q.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158 is divided by (-1 + 3)\/(14\/56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183155022 to the nearest integer?\nAnswer: 13533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33311074 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, and 1 p when three letters picked without replacement from ponrappoboon?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*q - 10. Let g be 6\/18 + (-11)\/(-3). Suppose -g*h + 2 = -4*a + 22, -h - 5 = a. Put a, 1, q in decreasing order.\nAnswer: 1, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - (-10)\/24. Which is the third smallest value? (a) -3 (b) -1\/6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -6. Let r be (-4)\/(s\/(-9) + -2). Is 3 a factor of (-11 - -16) + (r - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 12*h**2 + 1\/3*h**3 + h + 24. Let o be f(-24). Which is the third smallest value? (a) -3 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -23. Suppose 0 = l*j - 10*j - 9. Suppose 1 = -3*p - 14. Sort p, 5, j in increasing order.\nAnswer: p, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 29 = -3*b, 0*b + 8 = 4*b + 5*x. Let k = -7 + b. Suppose 4*n + 4 = k, -2*c + 7*c - 5*n = 25. Solve 0 = -c*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 938*d + 217647. Give s(421).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k - k**3 + 4*k**2 - 29*k**2 + 11*k**2 + 4*k**2 + 6. Suppose 0 = -5*t - 5*h - 55, 0 = -2*t + t + h - 7. Calculate y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56409527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*q**4 + 170*q**3 + 300*q**2 - 360*q.\nAnswer: -5*q*(q - 6)*(q + 2)*(7*q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 28, -0.6, 1\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151300372?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9553039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828975.\nAnswer: 5, 149, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25009 + 3 + -6 + 7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 243530087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106215777 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -6. Solve -m + 0*m = x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0*k**3 + 3\/8*k**4 - k**2 - 8*k + 0. Let v(q) = -4*q**2. Calculate v(y(h)).\nAnswer: -324*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*((x\/x**(-2\/11))\/x)\/x*x))\/x**(1\/5)*x*x**3\/x*x**(-1\/6))\/((x**(-3\/4)\/x)\/(x**(-1\/5)\/x)*x**(-3)\/(x*x**0\/x)) assuming x is positive.\nAnswer: x**(4621\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1731.36*-2.355.\nAnswer: 4077.3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r**4\/3 + 451*r**3\/3 + 1792*r**2\/3 - 1471*r\/3 - 260 = 0. Calculate r.\nAnswer: -52, -5, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44133 and 463326?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/307447 and -1\/1052?\nAnswer: 1229788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 1 + 4*t**2 + 2*t + 0*t**2. Let z be m(-2). Suppose 2*i - 13 = z. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = -3*r, 3*l + 4*r = 2833. Does 42 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*t + 36*t + 3*t**2 - 6*t**2.\nAnswer: -3*t**2 - 160*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3441312 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 4. Let g(s) = -s**3 - 4*s**2 - 3*s + 4. Let w be g(-4). Suppose -o + w = 3*o. What is the lowest common multiple of v and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -4. Let m be (4 + -2)\/((-2)\/c). Solve 3*p + 6*d - 4*d + m = 0, 4*p + d = 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -637 - -642. Sort 7, -1, s in descending order.\nAnswer: 7, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3782525 and -4406.\nAnswer: 3778119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2502 + 1475 - 18683 = -270*n. Solve 68*z - 20 = n*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11129, 21382, 31635, 41888, 52141, 62394?\n\"Answer: 10253*c + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22248 by -6.\nAnswer: 3708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.7365, -200 in ascending order.\nAnswer: -200, -0.7365, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*1*6\/27. Suppose -h*m - m = -168. What is the remainder when m is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**4 - b**3 + 1. Let j(p) = 2*p**4 + 4*p**3 - 17*p**2 + 17*p - 3. Let h(d) = -2*j(d) + 6*y(d). Factor h(k).\nAnswer: 2*(k - 3)*(k - 2)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/630 and 17\/280.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxkxkexkjxwjaxxxwx. Give prob of sequence ka.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20180 * 89.\nAnswer: 1796020","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 674.\nAnswer: 7414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-286)\/1144 - (-2533)\/10596 and -57\/7.\nAnswer: 18543","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x**2 - 3*x + 3. Let s(a) = -a**2 + a - 1. Let w(y) = c(y) + 4*s(y). What is w(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72612771 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.081 - 31.881. Let t = w - -27.8. Which is the nearest to 33? (a) -0.1 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*sqrt(405) + -1*sqrt(405)*-3 + 4*(sqrt(90)\/(sqrt(12)\/sqrt(2)))\/sqrt(3).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10000010111010110000 (base 2) to base 3\nAnswer: -1000020120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 295, 0, -7448 in decreasing order.\nAnswer: 295, 0, -7448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**2 + 3. Let r(g) be the third derivative of 13*g**5\/60 + 188*g**2. Calculate r(m(t)).\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*b + 0*b - 5*b)*(-2 + 0 - 1) - 5*b - 2*b + 5*b - 4*b + 4*b - 3*b + (-1 + 1 - 3)*(b - b + 2*b) to a + d*b and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -3.8. Which is the third biggest value? (a) x (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 f when three letters picked without replacement from {t: 1, y: 6, v: 2, k: 4, e: 2, f: 3}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3427, -2468, -1521, -592, 313, 1188?\n\"Answer: -p**3 + 966*p - 4392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-4))\/((-1)\/(-2)) - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13251)\/9 + -3)*(-693)\/66 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 558*b + 564*b + 1 - 902*b**2 - 1122*b to l*b + h + f*b**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-50)*(1 + 1). Let t be 2\/(-5) + 8\/15. Put q, t, 2\/5 in decreasing order.\nAnswer: 2\/5, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2050053 - 3.3968\nAnswer: -3.1917947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2685, 10, 413?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 710*t**2 - 52788*t.\nAnswer: -2*t*(t + 106)*(t + 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(1\/(-1) - -3). Suppose -32*p - 16 = -28*p, -a + 2*p + 6 = 0. Sort 2, a, -4, u in decreasing order.\nAnswer: 2, u, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29487389?\nAnswer: 929, 31741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.9160757 rounded to one decimal place?\nAnswer: 25.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 9) in base 8?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = 8. Let p(k) = 5 + 5*k - 19 - 1 - 2*k + 3. Calculate p(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-2)*2\/(-20))\/(((-788766)\/(-408))\/407)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 6*p - 2. Let h(f) = -2*f**2 + 13*f - 5. Let v(j) = 4*h(j) - 9*k(j). Determine v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 634 in 2\/7, -2693, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56452420 to the power of 1\/2, to the nearest integer?\nAnswer: 7513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 12516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -350 (base 7) to base 16.\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 5:19 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1578*v = -3948*v + 539*v - 3653*v - 311040 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178 + 97 + 144)*(-2*v**3 + 3*v**2 - 3*v**2)*(-3*v**2 - 3*v**2 + 4*v**2).\nAnswer: 1676*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 43*p**7\/42 - 247*p**4\/24 + 8*p**2. Find the second derivative of q(i) wrt i.\nAnswer: 2580*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65019877 rounded to the nearest 1000000?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**2 + 83*z - 303. Let r be p(6). Let v(f) = -f**3 + 14*f**2 + 12*f + 26. Calculate v(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012772919 to 7 dps.\nAnswer: 0.0001277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + d - 2*d)*(-3*d + 0*d + d)*(-d**2 - 4*d**2 + 4*d**2) to s*d**3 + q*d + l*d**2 + f*d**4 + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255573531?\nAnswer: 3, 101, 281159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -553 (base 15) in base 2?\nAnswer: -10010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5539*q - 20 = -3*z - 5526*q, 4*q - 4 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - p + 101, -5*p = 5*c + 95. Let a = -77 - -30. Let b = c - a. What is the highest common divisor of b and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*n**3*x + 27832*n**3 - 5*n**2*x - 481*n**2 + x - 36 wrt n?\nAnswer: -312*x + 166992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in 0.3, 1, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*p**3 - 608160*p**2.\nAnswer: 5*p**2*(5*p - 121632)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 4*q**2 + 2. Let t be v(-4). Suppose -t*m + m + 1 = -2*b, 2*m - 3 = 3*b. Let x(l) = -l**2 - l + 8. Let a be x(0). Solve -a*z - 20 = -m*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -5*q + m, -q - 2*m + 47 - 5 = 0. Calculate the remainder when q is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47977368?\nAnswer: 2, 3, 29, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000093 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2995 - 2*b + 13*b + 4*b.\nAnswer: 15*b + 2995","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v. Let w(x) = 0*x + x + 2*x + 2 - 3*x - 4*x. Give u(w(d)).\nAnswer: 12*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 7236 in decreasing order.\nAnswer: 7236, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:13 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 25. Let i be (10\/8)\/(11\/(-44)). Sort i, 5, l, 4 in descending order.\nAnswer: 5, 4, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39128 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (282 - 282 - 367*a)*(-2 + 3 - 3) + (-1 + 2 - 3)*(-1 + 5 - 1)*(-2 - 2 + 2)*(-1 - 6*a + a + 2*a).\nAnswer: 698*a - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*n + 143*n + 70 - 1489 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-2*2 - ((sqrt(891)*-2)**2 - sqrt(891) - sqrt(11)).\nAnswer: -3564 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -0.4 (c) 3\/5 (d) 4.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -933, -1867, -2801?\nAnswer: -3735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 113 - 296 = -3*c + c, w = 59 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9*9\/(-3). Let b be (3 - 1)\/(v\/3). What is the third derivative of -3*u**3 + 6*u**4 - 4*u**4 - b*u**2 + 3*u**3 wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 47986175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, o: 4, g: 3, y: 1, m: 4}. Give prob of sequence oozo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 16*x - 18. Suppose -2*z - 5*k = -6*z + 80, 0 = -k - 4. Calculate the remainder when (348\/z)\/(10\/25) is divided by t(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2)\/(0 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*z - 5*h, 0*z - 3*z = 2*h - 13. Solve 2*p = -z*i + 10, -3*i - 2*i + 10 = 4*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 divided by 5?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 5*b - 4. Determine i(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 15, l: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 8, 390.05?\nAnswer: 390.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188\/285 - 10\/19. Let q be 2\/(-4)*(-3 + -53). Suppose -12 = 2*o - 3*k - q, -2*o - 3*k + 4 = 0. Sort o, z, 1 in increasing order.\nAnswer: z, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 = 11*l + 246 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000240778 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1.4, 2\/3, 5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21822 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 744*z**3 - 2*z**2 + z. Suppose -2*m - 21 + 23 = 0. Is h(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -4 (c) 18\/5 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (897*k**4 - 2594*k**4 - 4746*k**4)*(-k + 0 + 0).\nAnswer: 6443*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*k = -188*k + 64 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74669571 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -1 + 62 + (-45 - -3) + -3.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -818384000 to the nearest 1000000.\nAnswer: -818000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83609094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/6)\/(6\/(-9)). Let k = n - -6. Put 4, k, 5 in ascending order.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(4896) - sqrt(34))*3)\/((sqrt(88)*2)\/((sqrt(132)*1 + sqrt(132))\/sqrt(12))).\nAnswer: 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41208740 is divided by 165.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 26. Let w(f) = 684*f + 182. Let b(v) = -28*n(v) + 4*w(v). Let z(x) = 4*x**2. Calculate b(z(g)).\nAnswer: 11056*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*6 + (sqrt(88) + sqrt(22))\/sqrt(2).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 5)*(-10)\/4. Put v, -1, -5 in ascending order.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 234*o - 9 + 232*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 6, g: 5, r: 2, k: 2}. What is prob of sequence kgr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(112) + -1 + sqrt(7) + -3.\nAnswer: -7*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11892278719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5608, -5645, -5696, -5767, -5864, -5993, -6160?\nAnswer: -6371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((10*4\/70)\/(55\/(15785\/(-1886)))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.007617 and 0.03.\nAnswer: 0.037617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 802, 1678, 2564, 3466, 4390, 5342, 6328?\n\"Answer: n**3 - n**2 + 872*n - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*c + 5. Suppose c*j + 5*p = -1130, -5*j + 3*p - 840 - 306 = 0. Find the common denominator of -103\/12 and (1\/8)\/(30\/j).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 11. Let c be i(-14). Suppose -4*v = 20, 0 = -c*b - 2*b - 2*v. Suppose 4*x = -2*s + 94, -5*x + 3*x + b*s = -50. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, c: 17}. Give prob of picking 2 c and 1 x.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 < 16\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2475 - 2079. What is the greatest common factor of 2124 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 15 = -31. What is the remainder when 67 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3600*k + 10929. Calculate d(-3).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:29 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 7*d**2 - 9*d - 12. Let l(s) = -2*s**3 - 14*s**2 + 20*s + 28. What is -8*l(t) - 18*x(t)?\nAnswer: -2*t**3 - 14*t**2 + 2*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*z - 2*v, 0 = z + 2*z + v + 8. Let q = 0 + z. Let o(j) be the second derivative of j**5\/5 + j**4\/12 + 13*j. Determine o(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104 + 3*g**3 + 54 - 2*g - 2*g**2 + 53)*(-2*g + 0*g + 5*g).\nAnswer: 9*g**4 - 6*g**3 - 6*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/7*(-315)\/(-3150).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8667 is divided by 393.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*v - 6006 = 87*v + 286*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-15)*1*15. Let l be (2\/(-4) - 0)\/(2\/k). Suppose -2*v = -9 - 1. Put v, 0, l in descending order.\nAnswer: v, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**2)**(8\/13)*((i*i*i*i**(2\/3)*i*i)\/i)**(-43) assuming i is positive.\nAnswer: i**(-7730\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 4*b - 5. Let i be u(4). Let z(m) = m**2 + 10*m - 8. Let x be z(-10). Put 3, i, x in increasing order.\nAnswer: x, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 98036, 98038, 98040, 98042, 98044, 98046?\n\"Answer: 2*o + 98034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*c. Let l = 7 - 3. Let j = 19 - 18. Solve -w + j + l = c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 7) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965942?\nAnswer: 2, 482971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 11. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 596 - 526. Let l = -195 + 195.03. Is l >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2722518 to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 116407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -330 greater than -329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 1, d: 1}. What is prob of picking 1 f and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*y**5 + 155*y**4 - 4*y**3 - 1784*y + 6.\nAnswer: 1240*y**3 + 1860*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1458) - sqrt(1458)*-1) - sqrt(1458))**2.\nAnswer: 118098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/2 + 541*g + 27756 = 0. Calculate g.\nAnswer: -1028, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7263*i + 27140 = -6803*i for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 17*t**2 - 31*t - 2. Determine f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 34. Let j be 10\/(-2)*1\/1. Let g = 0.8 - -0.2. Which is the closest to g? (a) j (b) q (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 + 0.4. Let b = -2.3 - -18.3. Let w = 11 - b. What is the closest to p in 3\/2, w, -0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.3 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 1. List the prime factors of -1 + 32 + 1\/z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2221375096 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/((-9)\/84). Let i = 0 - h. Let k be 18\/i + 2 + -1. Which is the third smallest value? (a) k (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = o - 15, t - 12*o = -9*o + 18. Solve 5*f - 2*g + 21 = 0, -3*g - t = 5*f - g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137*-19666.\nAnswer: -2694242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 - (17 - (36 + -12))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m + 9. Let l = -2 - -4. Suppose -5*i - l*k = 17, 2*i + 16 - 5 = -5*k. Let n(f) = -2*f + 4. Calculate i*a(h) + 7*n(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305 divided by -5?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6577663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 24 = 11. Suppose -262 = -3*i - n*x, 164 = 3*i - i - 2*x. Does 28 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n - 2 = -3*x, -2*n = -5*x + 6. Let m be (2 + 1)\/(-4 - (-6 + 1)). What is r in -3\/2*r**x + 9\/2*r - m = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 6 - 6 - 2*z)*(-1 + 3 + 0).\nAnswer: -4*z - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 55*j**2 + 431*j - 59. Give u(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -41. Let r be (-12)\/3*15\/t. Let b(a) = a**3 + 3*a**2 + a - 1. Determine b(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-2) - 6\/2. Let i be j\/((-49)\/(-24) - 2). Calculate the highest common factor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-111149.4\nAnswer: -111149.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 4*r**2 - 3*r. Let k be p(3). Suppose -4*x = -k*x - 8. Let h(m) = m**3 + 2*m**2 - 2*m. Give h(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:58 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/140 and 67\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 234.1 - 234. Which is the closest to l? (a) 1\/8 (b) 1 (c) 0.01 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-20)*4\/14*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let z = 251\/170 - -2\/85. Which is the nearest to 1? (a) x (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen eighths of a tonne?\nAnswer: 2125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 + 5*h**2 - 36*h + 9. Suppose 4 = -4*d + 28. What are the prime factors of k(d)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*j**2\/11 + 508*j\/11 - 16\/11 = 0.\nAnswer: 2\/63, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 198521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 7 + 4 - 0) + (17 - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0858 (b) 2\/23 (c) -3 (d) -1\/8 (e) -281 (f) 3 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -594212*y + 92. Let p be n(-9). What is p rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 10. Let w be d(-4). Let a(t) = -15 + 2 - 4*t + t**w - 2*t - 5*t. Let v be a(12). Is -5 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -828.9643 rounded to zero decimal places?\nAnswer: -829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/5))\/((l*l**(2\/11)*l)\/l))\/((l\/l**(6\/5)*l)\/l**(-4)) assuming l is positive.\nAnswer: l**(-252\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 8872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 + 506190. Let c(s) = 3*s - 10. Give b(c(q)).\nAnswer: -27*q**2 + 180*q + 505890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from ellre.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let t = 148 - 148. Let q(r) be the second derivative of -4*r + 0*r**2 + 5\/12*r**4 + t + 0*r**3. Give o(q(h)).\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327880734 and 1037.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1290*x**3 - 25*x - 97. Does 19 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**6\/120 + 13*x**5\/15 + 725*x**4\/24 + 625*x**3\/3 + 45*x**2 + 1. Factor b(u).\nAnswer: (u + 2)*(u + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**9\/16632 - o**7\/4620 - 2*o**3 + 13. Let s(h) be the third derivative of l(h). Suppose s(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/13 (b) 1 (c) 0.2 (d) 245 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2121234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 1 (c) 4.4 (d) 1\/2 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 329*m**2 + 5 - 162*m**2 - 17 - 2*m**3 - 164*m**2 + 0*m**3 to q + n*m**2 + t*m**3 + w*m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 12*s - 24. Suppose 0 = r - 5*b + 13, 8*b - 26 = -2*r + 5*b. Let v be a(r). Calculate the greatest common divisor of 90 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -998804, -1997721, -2996652, -3995603, -4994580, -5993589?\n\"Answer: -f**3 - f**2 - 998907*f + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2147 + 0.2347. Let q = 0.1 - 0.1. Which is the nearest to q? (a) 1\/2 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 31*w**2 + 0 + 0*w + 3\/20*w**5 + 5\/3*w**3 - 5\/24*w**4 + 1\/60*w**6. What is the remainder when 98 is divided by m(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -732846 less than 6.797?\nAnswer: 732852.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/226 - -239\/2938. Let d = -519 + 520. Sort d, 1\/21, f in decreasing order.\nAnswer: d, f, 1\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*m - 7, -m - 11 = 5*j + 18. Suppose 0*g = 2*v + g - 4, g = 4*v + 4. Suppose -6*k + 27 = -3*k. Sort k, j, v in decreasing order.\nAnswer: k, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 0*q)*(40 + 27 - 16 + 1 - 2 + 3 + (-4 + 0 + 2)*(-1 + 0 + 0)).\nAnswer: -55*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3229 - -5?\nAnswer: -3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 15, -28 = q + 5*g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*m - 11 = 0, 3*z + 2*m - 4*m = -22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**3 - 174065*i**2 + 174060*i = 0.\nAnswer: 0, 1, 34812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 10)\/(4\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 23, -56, -171, -334, -557?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4678 - -4670. Sort 1, 0.15, g in increasing order.\nAnswer: g, 0.15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.75 - -1. Let t = g + -0.05. Let r be 9\/(54\/28) - 1\/(-3). Which is the third biggest value? (a) t (b) 3\/8 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5621, -6266, -8029, -11474, -17165, -25666, -37541?\n\"Answer: -94*p**3 + 5*p**2 - 2*p - 5530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6314, -24728, -55426, -98414, -153698, -221284?\n\"Answer: -o**3 - 6136*o**2 + o - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 431\/16, 0.5, -1\/13?\nAnswer: 431\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-8 + 8 + -8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r - 46. Suppose -i - i = 4*g - 372, 186 = 2*g + 4*i. Let x = r + g. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 17. Calculate p(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 11*d - 2. Let j be m(-10). Let n be j\/20*20*2. Solve -c = 2*b - 2*c + 4, 2*b + 5*c + n = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p - 193. Let u be i(32). What is the highest common factor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + s**2 - s - 4. Determine m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 3 + 8*j + 4)*(4*j + j - 4*j)*(-2 + 0 + 0) in the form f*j + s*j**2 + m and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**3 + 338928*d**2 + 7254496020*d + 3168441889016 = 0.\nAnswer: -42143, -446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15*-61.125\nAnswer: 916.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**6\/3240 - p**5\/216 - p**4\/54 - 14*p**3\/3 + 38. Let g(l) be the third derivative of r(l). Factor g(w).\nAnswer: -(w + 1)*(w + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-4)\/36*(-57)\/152*8)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -69 (c) 0.35 (d) 1\/4 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 1, g: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyyyyuyyyyuyyyyyyy. What is prob of picking 1 y and 1 u?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -253000 and 0.4?\nAnswer: 253000.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 + 4*r + 9. Let w(h) = -h**2 - h + 1. Let v(b) = m(b) - 5*w(b). Let i be v(-9). Solve 0*q = i*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/140)\/((-20)\/35)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/12)\/((-1)\/(-9)). Suppose b = m, 3*m - 11 = -3*p + 7. Let f be (60\/25)\/(1\/5). Solve v + p*v + f = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.686999l in millilitres?\nAnswer: 7686.999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65498 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.5 (c) 1 (d) -2.6 (e) -0.7 (f) 5.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -878 - -253. Let c = -610 - l. Calculate the smallest common multiple of c and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 124. Suppose 2*h - 5*n = h + 10, -h + 16 = -2*n. Factor -t*u**2 + 9*u + 10*u + 63*u**2 - 4*u + h.\nAnswer: -5*(u - 4)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (sqrt(9)\/sqrt(3)*4 - (1 + sqrt(3) + -5)) - (sqrt(243) + 0 - (sqrt(192)*2 + sqrt(192)) - (0 + sqrt(300))*6)**2.\nAnswer: -16874 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + -6 - -15) - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11452.\nAnswer: 2, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (456\/(-348))\/19*-203?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2751*v**2 - 5476*v**2 + 2721*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 18873?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*f - 2*f. Let t(h) = -h**2 + 7*h + 5. Let j be t(6). Calculate the greatest common factor of j and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t\/(t\/(t*t\/(t\/t**(2\/3)))))\/t*t*t*t\/(t*t*t*t*t**(11\/2)*t) assuming t is positive.\nAnswer: t**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 487*j = -489*j - 5, -s = 5*j - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -24, -8, -11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(1210) + sqrt(1210)*1 - sqrt(1210)).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -414 by -4.\nAnswer: 207\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226776400 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 + 2. Let f = 887\/7 - 127. What is the nearest to f in -0.4, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1) + 1\/(-6). Let x = -7\/120 + -191\/840. Is x >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p - 12. Solve -n - 4 = 0, 2*w - 6*w - p*n = 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/112*((-132)\/(-15))\/(-2). Are 2 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 610046841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*d = 37, v - 9*d + 34 = -13*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0365 + 0.0364937. Round i to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 0 in increasing order.\nAnswer: -21, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*m**3 - 3512966*m**2 + 86740*m.\nAnswer: -2*m*(m + 21685)*(81*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 325*k**3 - 320*k**2.\nAnswer: -5*k**2*(k - 64)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Suppose -g = 2*g - h. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**5\/2 - 3*n**2\/2 - 4*n. Differentiate w(k) with respect to k.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 215*f - 900 - 267*f - 2*f**2 + 73*f + 128*f with respect to f.\nAnswer: -4*f + 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -219 + 234. What is the nearest to 2 in h, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/7446 and -11\/21.\nAnswer: 52122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -440517 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 5.3. What is the second biggest value in 1, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -38*p - 723. What is the units digit of y(-74)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51899*n**3 - 373*n - 25948*n**3 + 373*n - 25953*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(9 + 105\/(-7))*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 619 = -534. Let z(x) = 2*x - 1. Let o be z(3). Solve 3*h + o + 1 = c, 3*c - 4 = -w*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 20 = -0*m. Suppose u = 6*u - m. Solve 12 = u*j + j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7556431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455) + sqrt(4455)*-1)\/(4*sqrt(25)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -842 times 165.3\nAnswer: -139182.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -64622800 to the nearest one million.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/9*(-66)\/110?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/3 - 290*r**2\/3 + 133672*r\/3 = 0.\nAnswer: -341, 0, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*j = -17, -5*k + k + 2*j + 36 = 0. Suppose k = 3*t + 2. Suppose 0 = -v + t*l + 2, -l - 20 = 4*v + l. Let c(h) = h**3 + 3*h**2. Determine c(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.1 (b) -0.17 (c) -0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 338219\/57 + (40\/12 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 11*r + 24. Suppose -r*s + 5 = 2*x, 3*s + 9 + 2 = 2*x. Let j(p) = p**3 - 5*p**2 + 6*p - 6. Calculate j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from qiqiqiqqqiqqqq?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 1419745*i + 15617074.\nAnswer: (i + 11)*(i + 1419734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - u + 4 = -0, -h + 8 = -u. Sort 93, 17, h in descending order.\nAnswer: 93, 17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -13*s + 16*s. Let p = -561521 - -806108. Suppose 0 = -s*b + 16413 + p. Round b to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4490 - -4719.3. Let d = b - 209. Round d to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 53.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - -141?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*h + 0 + 14\/3*h**2 - 8\/3*h**3.\nAnswer: -2*h*(h - 2)*(4*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124648253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 156812219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 168.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 13 + -4 + 2 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 387*z**3 - 1. Let f be b(1). Let i be f\/12 - 2\/12. Suppose -4*j - 3*l + 1 = -0*l, -4*l = -3*j + i. Let x(d) = -d**3 + 4*d**2 + 2*d - 5. Give x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 0*(-1)\/(-4). Solve w*d + 25 = g, -g + 10 = -d - d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12705 less than 2110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-65)*21\/(-6)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 12*d**2 + 12*d + 13. Let t(n) = n**2 - 11*n - 11. Let k be t(11). List the prime factors of h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237557219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2544 and 137\/12?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*h**2 - 60*h**2 - 65*h**2.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*j = j + 167, -182 = -5*q + 4*j. Let a = 9 - q. Is a != -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*t + 8 + 13, -9 = 3*t. Solve -n*b - 4*p = -0*b, -4*b + 13 = p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 + -174051531.\nAnswer: -174051440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -10*o**3\/3 - o. Let p(k) = -k**2. Determine p(d(s)).\nAnswer: -400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2. Suppose 0 = w + 2*d + 30, 0 = -5*d + 3*d + 4. Let y = -29 - w. Let j(h) = 19*h + y*h + 2*h. What is s(j(n))?\nAnswer: -1352*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.5 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/182)\/((-17)\/(-34)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/4 - 273*d**4\/4 + 6597*d**3\/4 - 17151*d**2\/4 - 1650*d + 4356 = 0. Calculate d.\nAnswer: -1, 1, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -45*q - 11. Suppose -316 + 84 = -116*t. Determine v(t).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*3\/(-12)*3. Solve -d = o - 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**4 - 2*u**3 - 15201*u**2 + 88373 wrt u?\nAnswer: 8*u**3 - 6*u**2 - 30402*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 145278*n**3*q - n**3 + n**2*q - 18400*n + 4 wrt q?\nAnswer: 145278*n**3 + n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i - 10. Determine m(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -31. Let n = -18.2 - 1.8. Let v = q - n. What is the second smallest value in v, -0.3, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 5)*(116883 - 957*o + 116863 - 233771) in the form g + y*o and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1076, 2383, 3688, 4991?\n\"Answer: -h**2 + 1310*h - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20461, 40922, 61383, 81844?\n\"Answer: 20461*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85738777493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 8. Let q(z) = z + 5. Calculate the remainder when q(5) is divided by b(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61.37 - -61. Let h = 0.11 + -0.04. Let s = u + h. Sort s, -1\/3, -0.1.\nAnswer: -1\/3, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71580892 is divided by 1376.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 1:33 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + -3*(sqrt(1225) + sqrt(49)))\/(sqrt(14)\/sqrt(2)*-4).\nAnswer: 17*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*r - 119, l - 3*l + 28 = -r. Let h = r + 30. Solve 3 = -g - h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*w + 198. Let f = 98 - w. What is the closest to 0.2 in -0.5, -2\/9, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/7, -95\/16, 0.3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (39 - 1)\/(15 - 13). What is the nearest to 0 in 0.4, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -w + 4*j, -2*w + 0*w - 2*j = -18. Calculate the remainder when w is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by -61.\nAnswer: -97\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 12:44 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -220, -265, -332, -427?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)*k*k)\/(k*k*(k*k**(6\/5)\/k)\/k*k)*((k\/(k**(-5)*k)*k)\/k)\/k*k*(k*k**(-9)\/k)\/k assuming k is positive.\nAnswer: k**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 616, 795, 972, 1147?\n\"Answer: -n**2 + 182*n + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*q + 3\/4*q**3 - 3\/8*q**4 + 3\/8 + 0*q**2.\nAnswer: -3*(q - 1)**3*(q + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2846 - -0.3846. Which is bigger: -6\/53 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, u: 1, m: 5, q: 1, a: 2, k: 2}. Give prob of picking 1 k and 1 x.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 11965368?\nAnswer: -1\/2991342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.847 and 1343.\nAnswer: 1342.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 2 + (6 + 0 - 4)*(0 - 1 + 4) + 7 + 4 - 14)*(-l + 2 - 1 + 0*l).\nAnswer: -7*l + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 803 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)\/(k**(1\/2)\/k))\/(k**(-1)*k)**(-37))\/((k**(1\/4))**(-4\/15)*k**(-1\/8)*k**(-2\/9)*k) assuming k is positive.\nAnswer: k**(59\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r - 7. Let n(v) = -7*v - 6. Let j(o) = -o - 17. Let g be j(-10). Give g*n(y) + 6*c(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2. Let c be 5\/(-9) - (-116)\/(-261). Let w(h) = 4*h**2 - 2*h + 1. Give c*w(k) + 6*g(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 3*v + 30, -44*v + 49*v + 13 = 4*u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -195687*a**2*r + 33*r + 2348 wrt a.\nAnswer: -391374*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.13 + -31. Let m = p + -17.13. Let l = m + 16.96. Which is greater: l or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**5 - 117*d**4\/5 + 54*d**3\/5 + 1074*d**2\/5 + 729*d\/5 - 189\/5 = 0.\nAnswer: -7, -3, -1, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3168 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 31*a + 33. Let c be h(30). Suppose -5 = u + 5*d + c, u = 3*d + 8. Put 3, u, 1, 0 in decreasing order.\nAnswer: 3, u, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 5*f - 258. Let j = f - 93. Solve j*g = g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - q - 1. Let v(y) = 16*y**2 - y - 1. What is h(l) - v(l)?\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -304 + 533. Let d = -229.4 + t. Let h = -18 - -13. Which is the third smallest value? (a) d (b) h (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5269\/3 + -3525\/2. What is the nearest to 0.5 in g, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181 (base 10) to base 5.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/84*27*(-21098)\/(-3014).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*d - 10. Let j(w) = 2377*w**d - 2179*w**2 - 2477*w**2 - 12*w + 3 - 7472*w**2. Let v be j(11). Round v to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16057 from 1.31.\nAnswer: -16055.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:06 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85.26 + 84. Let s = b - -1.31. What is the nearest to 0 in -4, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 142*c = 13*c - 5148 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 + 0*m**2 - 7*m**2)*(3*m - 3*m - m) + 2*m**3 - m**2 + 7*m**2 + 23*m**2 in the form t*m**3 + a*m**2 + y*m + x and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3375612?\nAnswer: 2, 3, 41, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*w + 243 = -137*w - 112*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -7*23)\/(((-5684)\/(-8575))\/(-58)). Round x to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (217*s**3 - 110*s**3 - 202*s**3)*(0*s - s + 3*s) to the form i*s**4 + t*s + l*s**3 + h + c*s**2 and give i.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 38d704 (base 14) to base 11\nAnswer: 1117a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1022745?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 25*j**2 + 99*j - 6. Let m be d(21). Solve -42 = -302*a + m*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*b**4 + 11*b**2 - 18*b + 61*b**4 + 34*b + 58*b - 10*b**2 wrt b.\nAnswer: 2100*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338146858 a multiple of 2086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1375*-0.63\nAnswer: 866.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 21*a**2 - 12*a + 10. Let z be l(1). What is the derivative of z*t**3 - 48 + 9*t**2 - 18*t**3 + 13*t**2 wrt t?\nAnswer: 3*t**2 + 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 1 (c) -12 (d) -2\/11 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 207, 317, 425, 531, 635?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:55 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*m - 2*d - 37, -d = 4*m - 84. Suppose 54 = m*b - 11*b. What is the greatest common factor of 27 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let t = m - 3. Which is the second biggest value? (a) 0.4 (b) t (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-1 + 5)) + 67. What is the greatest common divisor of 26 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*d + f + 24, -5*f = -5*d - 15. Suppose -d*n = -n - 45. What are the prime factors of (n\/10)\/((-1)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667392731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 600261919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 900, 898, 886, 858, 808, 730, 618, 466?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.48 - 6.48. Which is the second smallest value? (a) -2 (b) r (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108978645 divided by -7265243\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16308 - 30773. Let b = 1546 - 481. Let o = a + b. Round o to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 - -0.5. Which is the nearest to 1? (a) k (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -2*p + 19, 5576518 - 5576506 = p - q for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 138.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 7, 37, 99, 205, 367, 597, 907?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmmhmmmmmmmgg. Give prob of sequence mhhm.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 7. Let p be o(2). Let g = 0 - p. Calculate the remainder when 38 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -4*s - d + 1724, 5*s + 4328 = -2*d. Let m = s + 870. Suppose -6*h + m + 3\/2*h**2 = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5331*i - 80904. What is n(15)?\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*x**2 - 6723*x - 2430 = 0 for x.\nAnswer: -9\/25, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z + 67*z + 1008 = -72*z + 230*z for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*g + 71 + 30, 0 = j - 5. Let l be (-2 - -1)*39\/3. Let n = g + l. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5865)\/(-30))\/((-2)\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 280*f - 6831. Determine l(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:21 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 29173*a + 350181. Calculate p(-12).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 113*f**3 - 115*f**3 - 890*f**2 + 300*f**2 + (1 - 1 - 2*f**2)*(f - 2 + 2) + 3*f**3 - 3*f**3 - f**3 + (5 - f**2 - 5)*(0 + f + 0) - f**3 + 0*f**2 + 0*f**2.\nAnswer: -7*f**3 - 590*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 23 + -26 - 13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -17 (c) -2 (d) -0.4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3440501*s**2 - 2987409 wrt s?\nAnswer: 6881002*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*l**2 - j**3*l - 110*j**2*l - 1050*l**5 wrt l?\nAnswer: -2*j**3 - 21000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5521670, 5521667, 5521662, 5521655, 5521646?\n\"Answer: -r**2 + 5521671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/8 + -1\/8. Factor 3\/2*q**2 + u*q - 3.\nAnswer: 3*(q - 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281247187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 54 + 6. Calculate the remainder when 11 - (-29)\/((-87)\/(-72)) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 213*h**2 - 26*h + 143. Is 5 a factor of w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 72*l + 1034. Give y(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 4*b + 2*b)*(0 - 3 + 2) + 2 + 3*b - 3 - 1 + (6*b + 0*b - 5*b)*(-2 - 1 + 2) + b + b + b to the form o*b + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-222) + (-6039)\/(-1221). Solve w*p - u = -22, 2*p = 7*p + 2*u + 31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -11 in descending order.\nAnswer: -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a + 2*a)*(-1 - 2 + 5) - 308 - 13*a + 308.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7394, 1\/6, 2\/9, -3\/4.\nAnswer: -7394, -3\/4, 1\/6, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 1, m: 1, k: 1, l: 1}. Give prob of sequence jk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = -292. Let l be (3\/2 - 1)*u. Let p be 0 - 2\/((-4)\/l). What is p rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000047199 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*h**3*o + 87*h**3*u - 23*h**2*o*u + 4*h**2*o + 2*h*u wrt o?\nAnswer: -10*h**3 - 23*h**2*u + 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*m + z + 18, -z = 2*m - 3. Let t(q) = 57*q + 2 - q**2 - 26*q + 3*q**2 - 35*q. Let c be t(2). Solve c*k + m = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {i: 2, s: 1, h: 1, q: 1, j: 1, m: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o**2 - 2*o + 2*o + (7*o - 14*o - 15*o + (-4*o + 2*o + 4*o)*(-1 + 0 + 4))*(8*o + 0*o + 6*o) to a*o + g*o**2 + h and give g.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.2544 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.01, -3\/5, -3, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193932.\nAnswer: 2, 3, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + -36 + -6 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269 = 11*s - 5*g, -3*s - 16 = -4*s + g + 9 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 74 = 5*z + 2*b, -66 = 5*z + 2*b. Let w be z\/35*(-5)\/7. What is the second biggest value in -5\/4, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x**3 + 809858*x - 809858*x + 49*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 43*j - 3248 + 6*j - 3*j**2 + 6517 + 3*j - 3248. Determine s(18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:35 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/4755510 and 131\/3804408.\nAnswer: 19022040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*t + 10. Let y(x) = -8*x - 4*x + 18*x - t*x. Let i(z) = 2*z**2. Determine y(i(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 152 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2717953 is divided by 618?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9516 and 2928?\nAnswer: 38064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4 and 51\/3872.\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 5*k**3 - 4. Let a(d) = d. Determine a(s(h)).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 - -210. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 20*b**2. Let l(a) be the first derivative of a**2\/2 + 6. What is l(z(g))?\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 3*g**2 - 3*g - 6. Let w be i(-4). Calculate the greatest common factor of 55 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 10*g + 76. Let z(x) = 4*x**2 - 27*x - 229. Determine -8*s(m) - 3*z(m).\nAnswer: -4*m**2 + m + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:26 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*7\/(-644)*23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 481, 369, 173, -113, -495?\n\"Answer: -f**3 - 36*f**2 + 3*f + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 14, y: 1, i: 2}. What is prob of sequence iig?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**2 - 6*w + 17. Let m(r) = 18*r**2 - 11*r + 33. Let h(c) = 6*m(c) - 11*v(c). What is the derivative of h(q) wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z = -26*z + 56 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11165 is divided by 5579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -c + 6, 5*s + 17 = -3*c + 3. What is the tens digit of (59\/c)\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2069857429?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25019.98l in millilitres?\nAnswer: 25019980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 47 and 4.676.\nAnswer: 51.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 5*n = 7*l - 12, 0 = 568*l + n - 6*n + 1146 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l - 2. Factor 0*i**5 - 2*i**4 - 2*i + l*i**2 + 2*i**5 - i**5 + i.\nAnswer: i*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 196 = 3*v. Suppose 0 = -5*w - v - 21. Is w at least -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5688 divide 33454988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-7)\/(-1050))\/(8\/24)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 977*d**2 - 36467*d + 47. What is w(-36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13911 - 303 = 2*y + s, y - 6809 = 2*s. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1850912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/5*1)\/(-11*29\/2552).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 12. Let y be j(-7). Suppose 0 = -14*c - 13 - 43. Let g be (1969740\/(-42))\/y - c\/(-14). Round g to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eypjp. Give prob of picking 1 j, 1 y, and 2 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3951 - 3801. What is the remainder when 1782 is divided by q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*j - 110, 2*j + 0*j + 3*c = 67. Suppose 5*b - j = -15, -v - 2*b = 75. Let u = 84 + v. What is the closest to -0.7 in -2, 2\/11, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (54\/8 - -1)\/((-3)\/24). Let b = z - -39. Let h = -21 - b. Solve -3*n - h*n = 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 + -3. Let r = 0.1 - 0.2. Let c = r + 0. What is the second smallest value in c, t, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2055\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -16*t - 2. Let f(h) = -3*h. Let o(n) = 5*f(n) - w(n). Suppose -3*k = -22 + 4. Suppose -4*b = k + 2. Determine o(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1140)\/(-855)*(-2)\/((-8)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8794, -7680, -6562, -5440, -4314?\nAnswer: -3184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/32560 and 1\/1628.\nAnswer: 32560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41.1? (a) -1 (b) -2\/19 (c) -0.4 (d) 525\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -6) + (12\/(-3) - 1). Is (-1)\/g - 27612\/(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 383, 559, 735?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/4)*j**(-4\/5)\/j)\/(j**(-7)*j\/j**(-12)))**(-43))**(6\/13) assuming j is positive.\nAnswer: j**(22059\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r - 21. Let w be q(6). Let i = -52 - w. List the prime factors of i.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 3, 4, -11 in descending order.\nAnswer: 4, 3, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*m + 166 - 755, 0 = 2*m + 4. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*r + z, -2*r + z = 2*r - 34. Let d(f) = 3*f - 7. What is the remainder when 10\/50 - 334\/(-5) is divided by d(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 56.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 464775*w**2 + 32510095*w - 32045325.\nAnswer: 5*(w - 92885)*(w - 69)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onn when three letters picked without replacement from {n: 2, l: 1, g: 1, y: 1, o: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4394 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85625280 and 832.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/7*i + 4\/7*i**2 + 0.\nAnswer: 4*i*(i - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 5*q + 5 + 15, -4*y + 3*q = -12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2 in decreasing order.\nAnswer: 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + sqrt(448) + -2)**2.\nAnswer: -112*sqrt(7) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 486?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/677, 0.07, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(1*(-10)\/(50\/(-15))). What is the remainder when ((-42)\/p)\/((-10)\/185) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, y: 3, b: 3, a: 2, l: 3, o: 1}. Give prob of sequence aylo.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(147) + (sqrt(147)*3 - sqrt(147)) + -2)**2 + (sqrt(147) + 1)**2 + 1 + 0) + -3.\nAnswer: -350*sqrt(3) + 7382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 138, -108, -856, -2274, -4530, -7792, -12228?\nAnswer: -18006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, 19, -1\/5, 0.08, 1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22736 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*c - z + 819 = -152*c, -4*c - 5*z = -831. Is c a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -19*k - 44 - 5\/9*k**3 + 5\/36*k**4 + 5\/6*k**2. Let f(q) be the first derivative of t(q). Determine s, given that f(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(6*sqrt(3)*-1).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Suppose -20 = w*j, 5*z = -j + 2*j + 220. What is the remainder when z is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(720)*-4 - (4 + (sqrt(210)\/sqrt(7) + sqrt(30))\/sqrt(6)).\nAnswer: -98*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1 (b) -160 (c) -5\/23 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + h**2 + h + 7. Let o(w) = -2*w**3 + w + 8. Let t(d) = 2*o(d) - 3*q(d). Is t(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5*q*q)\/q)**0*(q**(2\/17)*q*q)\/((q*((q\/(q**(-1\/4)*q*q))\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(331\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8033, -16066, -24109, -32168, -40249, -48358, -56501, -64684?\n\"Answer: -h**3 + h**2 - 8029*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 364 divided by 5\nAnswer: 364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 24 - 89. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*h**3 + 1 - 1 + 81*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 11 = -o, -o - 4*y - y = -1. Calculate the lowest common multiple of o and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 + 204 = 464*f + 68 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, i: 1, r: 1, w: 1, g: 4, c: 1}. What is prob of picking 1 c, 1 r, and 1 u?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.86832 * 0.06.\nAnswer: -0.5920992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h = 0. Let n be (4\/(-6) + h)*3. Is (-4)\/n + (1 - -476) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 18488943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17807 is divided by 8900.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5dd (base 15) in base 5?\nAnswer: -20313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 17*c**3 + 2*c**2 - 12*c + 2. Let s(a) = -16*a**3 - a**2 + 18*a - 3. Give -6*f(b) - 4*s(b).\nAnswer: -38*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 674 divide 15922758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -138. What is the highest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*g**3*z**3 - 11*g**3*z + g**2*z**2 + 3485606*g*z**5 - 2402415*g*z wrt z.\nAnswer: -102*g**3 + 209136360*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 + 4*f - 3. Let r be y(-5). Suppose -4*j = -3*j - m - 82, 4*m - r = -j. What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -32\/5 (b) -0.3 (c) 2339\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 0*r**2 + 1\/12*r**4 + 30*r - 1\/20*r**5 + 0 - 1\/6*r**3. Determine f(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + k - 5, -5*u + 5*k - 4 - 6 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -27*r**2 + 23 + 37*r - 7*r**3 + 18*r + 6*r**3 - 52 + 2*r = 0.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 4. Let a be ((-3)\/(-6))\/((-2)\/(-20)). Let v be ((-10)\/(-8))\/(a\/20). Suppose -15 = v*l - 125. Let g(j) = -15*j - 15. Give l*r(d) + 6*g(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) -0.4 (c) -15 (d) 1720\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4aabb9 (base 13) to base 6.\nAnswer: -102245031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 2\/3 (b) 0 (c) -2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531577184 to the power of 1\/2, to the nearest integer?\nAnswer: 50315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(684))*6 - (2 + sqrt(171) + (sqrt(19) + 0 + 3 - sqrt(19))**2).\nAnswer: 1 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 45 = 0, 2*w - 17*t + 16*t - 13 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 1.1 (c) 2\/15 (d) 1\/24 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1864*x - 1864*x - 8*x**3)*((x - 2*x + 0*x)*(1 + 2 - 4) + 2*x + 13 - 13) - 2*x**4 + 0*x**4 + 0*x**4 - 2*x**4 + 3*x**4 + x**4.\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-2*4 + 6*sqrt(187)*1)\/(sqrt(99) + sqrt(99) + -3*sqrt(99)*-2 + sqrt(99)).\nAnswer: -2*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -1) + (31 - 10)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyosyos. What is prob of picking 1 o, 1 s, and 2 y?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + -10*(-2)\/(-4). Let r(t) = t**3 + 7*t**2 - 5*t - 30. What is the lowest common multiple of 122\/18 + o\/(-36) and r(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)\/(c**(-14)\/c))**50 assuming c is positive.\nAnswer: c**(5150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 - 4*l - 4. Let j(a) = 6*a**2 + 4*a + 4. Let b(c) = 6*j(c) + 7*x(c). Let d(f) = f + 1. Give b(y) + 4*d(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308472 = 141*t - 74907. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 9 = 4*c, 2*c + 9*b = 4*b - 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9299095 and 0.1?\nAnswer: 929909.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 12:47 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6058099*g**3 + 2*g**2 + 98805442*g?\nAnswer: 36348594*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27800 - 283144 = -16*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 4. Let n be (-21)\/14 + (-48003)\/w. Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - (-198)\/(-12))*(-1 - -19). List the prime factors of 8230\/18 + 1 + 22\/r.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 35*z**2. Let q(s) be the third derivative of -s**5\/60 - 3*s**2 + 1. Let p(m) = 3*m**2. Let l(j) = 4*p(j) + 14*q(j). What is l(r(d))?\nAnswer: -2450*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 14*s**3 + 2*s**2 - s. What is p(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 880.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 104 + 4*g**2 + 103*g + 29*g - 25*g + g = 0. Calculate g.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2140*x**2 + 68*x - 319969 wrt x.\nAnswer: 4280*x + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2*8\/(-168).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-21)\/12 + (-804744)\/(-96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22578)\/20874 + -1 + -16 - -18.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498477394.\nAnswer: 2, 37, 47, 331, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eff when three letters picked without replacement from {f: 2, i: 2, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217*n**2 + 1 - 1 + 194*n**2 to h*n + l + f*n**2 and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -17. Suppose r*j + 4*q = 63, -5*j + q - 5*q + 113 = 0. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 17. What is the least common multiple of 16 and r(15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 1620.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (-369)\/63 - 188\/(-7). Solve 4*z + c + 16 = 0, -x = 5*z - 3*c + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*(-4)\/(-4))\/(-1). Let w be b + 0\/1 - (-12 + 12). Let q = 28 - 138\/5. Put 1\/4, w, q in descending order.\nAnswer: w, q, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyyyyyyyuu. What is prob of sequence yu?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i = -421 + 1069 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 24\/((5 - 5) + 4\/174)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -14*x. Let h(t) = 3*t + 12. Give h(g(c)).\nAnswer: -42*c + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -222 - -222.1. Let a = 83 + -81. Let u be 1*(-2 - -2 - -4). Sort a, -1, k, u in increasing order.\nAnswer: -1, k, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9265822 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 16*y - 5. Let p(h) = -31*h + 11. Suppose 61*n - 30*n = 17*n + 98. What is n*d(l) + 3*p(l)?\nAnswer: 19*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*z - 67*z + 10, -5*z + 625 = 3*m. Solve -3*h = 187 - m for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14)\/(-4)*7*12\/98 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 415230*o + 415228.\nAnswer: 2*(o - 207614)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19084 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16892915.\nAnswer: 5, 13, 293, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 19*z**2 - 17*z + 9. Determine y(18).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 456*d - 126. Calculate f(-2).\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5740 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*v + 6 = -288*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.4 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 l when four letters picked without replacement from {y: 8, n: 3, l: 7}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 7. Let w = 153 + -147. Let h be 25\/15*1*w. Calculate g(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6111.006 to the nearest ten.\nAnswer: -6110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 295*r - 603*r + 288*r. Let k(w) be the second derivative of 0*w**3 - w + 0 - 1\/12*w**4 + 0*w**2. What is k(x(f))?\nAnswer: -400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n + 2*d, 2*n + n - 7 = 4*d. Calculate the smallest common multiple of n and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 95, 134, 209, 332, 515, 770?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a decade?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/381843 and -53\/495.\nAnswer: 1909215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2485 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2 + 277*y = 0.\nAnswer: 0, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 11. Suppose -k*s + 7 + 69 = 0. Let f(b) = -5*b**3 + b - 2. Calculate the remainder when f(-2) is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((19518\/(-13012))\/(6\/(-32)*-2*2))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4779660427 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/178858 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 557, 3, 1, -1, 5.\nAnswer: -1, 1, 3, 5, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -17566, -937 in ascending order.\nAnswer: -17566, -937, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4514.723 - 4553. What is n rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - x**4 + (3 - 7 + 3)*(-8 + 8 + 2*x**4).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/203? (a) -14 (b) 1.6 (c) -14\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 6*b - 565. Let f(s) = -s**2 - 7*s - 565. Let v(r) = -3*a(r) + 4*f(r). Let z be v(0). Is -565 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13837, 25651, 37465?\nAnswer: 49279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 > 308.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85352, -170735, -256120, -341507, -426896, -512287, -597680?\nAnswer: -683075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 12:04 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 2*m + 4. Calculate the remainder when (36\/1)\/3*1 is divided by a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -302, -27\/251, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3 + 17*i**2 - 16975*i + 761564 with respect to i.\nAnswer: 6*i**2 + 34*i - 16975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4056454*k**2 + 8252332*k wrt k?\nAnswer: 8112908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*q**3 - 2040*q**2 + 2716*q - 720.\nAnswer: 4*(q - 45)*(q - 1)*(11*q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-285)\/38*(-244)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)*118\/1062. Let d = -1.95 + 2. Let v = d + -2.05. Which is the nearest to -0.1? (a) l (b) v (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**3 + 7*p**2 + 8. Let v(l) = -7*l**3 + 14*l**2 + l + 16. Let i(x) = 5*b(x) - 2*v(x). What is the tens digit of i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -18. Let q(j) = 11*j - 13. Let t be q(y). Round t to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 + 8 + -9 - 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = x + 56994, -2*x = p - 2*p + 114003. Round x to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 - 2382*m**2 - 23826*m\/5 - 11914\/5.\nAnswer: 2*(m - 5957)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73.62 + -0.38. Let f = -73.992 - d. Let c = 0.007875 - f. What is c rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 287131.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 2*a. Let h = a + 7. Solve h = t - 0*t + 3*d, -t - d + 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -13380.\nAnswer: -13380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138432 and 7728.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**7\/70 - w**6\/8 + 3*w**5\/5 + 10*w**4 + 32*w**3 - 516*w**2. Factor g(d).\nAnswer: -3*(d - 4)*(d + 1)*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 87560.\nAnswer: 87560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -28*c**3\/3 + 8*c**2 + 23*c. Let z be b(-24). What is z rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.014 and 4.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2363\/2 - 1144. Calculate the common denominator of h and -89\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b)\/b**6)\/((b**(-6)*b)\/b*b**(3\/4)\/b)*(b**(-6)*b**(-3))\/(b*b\/b**3*b**6) assuming b is positive.\nAnswer: b**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/52 and 8\/65?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -131*q**3\/6 + 2*q**2 + 12*q. Let o be k(2). What is the common denominator of 7\/3 and 18\/(-27)*o\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 8*f + 14. Calculate d(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 4767?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 5*a + 0*a)*(-5*a + a + 2*a - 8*a + 2*a + 2*a + (2 + 0 - 1)*(a - 1 + 1)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 5230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 381500647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.667 * -34.2\nAnswer: 22.8114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259328859 is divided by 4690?\nAnswer: 4689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25123 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 5*b - 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -1 + 0 + 2 - (-198 + -68 + 273)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 89 = -5*p. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102835319?\nAnswer: 73, 1408703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12*b**2 + 3*b - 1. Let y be q(2). Let i = y + 47. What is the tens digit of (-116)\/(-8)*(i - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*v + s, 2*s - 10 = -5*v + 26. Suppose 0 = -3*c - 5*x + 17, 0*c + 4*x = 3*c - v. Factor -51\/2*y**3 - 63\/2*y**2 - 33\/2*y - 15\/2*y**c - 3.\nAnswer: -3*(y + 1)**3*(5*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1.6, 11\/2, 0.5, 267, 0.4, 2\/9, 3?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, z: 1, v: 3, e: 2, d: 1, j: 2}. Give prob of sequence rvdj.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -89, -1\/10.\nAnswer: -89, -1\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.1857131\nAnswer: -0.03714262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 23 = -3. Suppose -4*x - o*d - 2148 = -5*x, -2*x - 2*d = -4336. Let j = x + -5334. What is j rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by 4?\nAnswer: -219\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 4.4439\nAnswer: 0.311073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 7:00 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 11*f**2 - 10*f + 5. Let s be p(-10). Suppose 0 = 2*c - s*c + 4*z + 5, -5*c + 4*z + 3 = 0. Let g(w) = -4*w**3 + 1. Is g(c) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2227 - 2336 - (2 + 18 - 3 - 3).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/18*(3600\/27)\/(-20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-3)*254\/(-1270)*335\/5*1\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)*u)\/u)**(-30\/7)\/((u\/u**(2\/35))\/(u**7\/u)) assuming u is positive.\nAnswer: u**(279\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -3\/2*n**3 - 48*n**2 + 0 - 13\/15*n**5 - 1\/12*n**4 + 0*n. What is the first derivative of x(d) wrt d?\nAnswer: -104*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 2:28 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 15, 1.4, 0.1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.1. Let m = 2878.1 - 2878. Which is the nearest to h? (a) -2\/3 (b) 9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54917086 by -61774.\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657*m**2 + 736*m**2 - 2704*m**2 + 819*m**2 + 694*m**2.\nAnswer: 202*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d**2 + 1240866*d + 744525 = 0 for d.\nAnswer: -3\/5, 82725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 1285, 1953, 2603, 3241, 3873, 4505?\nAnswer: 5143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-20))\/((-53)\/(-530)). Solve y*v - 2*r + 22 = 3*v, r = 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 1)*3 + -4)**2.\nAnswer: -54*sqrt(11) + 8020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 13 + 6*i**2 + (4 - 2*i - 4)*(3*i - 5*i + 0*i) - 3*i**2 + i**2 + i**2 + i**2 + 3 - 3 - 2 + 2 - 2*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -3. Let i = -3.35 - j. Let r = -0.05 - i. Which is the second biggest value? (a) r (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -9*z + 4*z - 4*b, 0 = z - b + 1. Solve 0 = z*x - 4, 5*c + 0*x - 4*x + 13 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 15 - 27. Put 1, 5, 4, g in decreasing order.\nAnswer: 5, 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1131906 or -1131903?\nAnswer: -1131906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/3320 and -41\/1660.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 30*r**3 - r**2 - r + 2. Let u(q) = q**3 - 6*q**2 + 7*q + 7. Let w be u(3). Calculate n(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2780302585 + -1.5?\nAnswer: -3.7780302585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 194718 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: What is prob of picking 1 i and 1 r when two letters picked without replacement from {y: 1, i: 1, w: 1, h: 1, x: 1, r: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.066 (b) -3 (c) -5\/2 (d) -0.14 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178860473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 57 - 69 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3021*g*k**5 - 2*g*k**3 - 29*g*k + 3*k + 26 wrt k.\nAnswer: 60420*g*k**3 - 12*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 0*d - 1\/10*d**5 + 0*d**3 - 33*d**2 + 0*d**4 + 0. Let q(v) = -5*v**2. Determine q(f(i)).\nAnswer: -180*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 7. Let m(d) = 2*d - 6. Let b(x) = 7*m(x) + 6*v(x). Let o(n) = -8*n**2. Determine o(b(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -7\/184, -1, -0.4, 3, -5 in decreasing order.\nAnswer: 3, -7\/184, -0.4, -1, -1.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 + 1222401833497?\nAnswer: 1222401833498.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 139 + 148. Let y(z) = -5*z + 5*z + z**2 + 4*z. Let k be y(-5). Solve l*u = k*u + 3*v - 15, -3*u + 5*v = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d - 21. Let r = d - -27. Suppose 0 = 3*q + 6, o = 16*q - 17*q + 21. Calculate the remainder when o is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.01 (b) -13 (c) 0.4 (d) 9 (e) 2\/7 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38909196?\nAnswer: 2, 3, 1080811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1632264810?\nAnswer: 2, 3, 5, 11, 4946257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/3 + 37*c**2\/3 - 120*c + 108.\nAnswer: -(c - 18)**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20216 (base 7) to base 9.\nAnswer: 6658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198 + -60. List the prime factors of u.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11887.6 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggd when three letters picked without replacement from rgrgrgd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 30, 24?\n\"Answer: -6*i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.009, 3, -4\/7?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.07 (c) -0.21 (d) 0.1346\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(31\/(-6) + 4) + 4. Let a = l - 305\/66. Are 0 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267570941 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/468 and -133\/702.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1219604 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 281668 and 2278?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 + 3*o - 9. Let b be i(3). Suppose 30 = 4*g - b. What is the least common multiple of g and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = y - 204. Suppose 0*s = m - 3*s - 6, -5*s + y = 2*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 6*u**3 - 12*u**2 + 6*u + 9.\nAnswer: 3*(u - 3)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/28)\/((-20)\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3189750336 divided by -4\nAnswer: -797437584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-415)\/25 + 17)\/((-1)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/7 - 46*a\/7 = 0. Calculate a.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 386*j + 8. Let t(n) = -n + 3. Calculate -2*t(c) + z(c).\nAnswer: 388*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f. Let p(w) = 71*w. Calculate p(z(b)).\nAnswer: 284*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 - 3.06. Let i = m - 0.34. What is the closest to i in -0.2, -5, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 17. Let w be m(-11). Let f(n) = -23*n**2 + 17. Let r(u) = 8*u**2 - 6. Calculate w*f(x) - 17*r(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1227 - 5.1527. Let g = f - -0.03. Put g, -5\/4, 2\/3 in descending order.\nAnswer: 2\/3, -5\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(2)*-1 - -4*(sqrt(8) + sqrt(2)) - (sqrt(14) + sqrt(84)\/(sqrt(24)\/sqrt(4)) - sqrt(14))\/sqrt(7))*-3)**2.\nAnswer: 5202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -124*x + 812. Determine u(8).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**4\/24 - m**3\/6 - m**2. Let p = -12 - -24. Suppose -3*t + 7*t - p = 0. Determine j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + 0 + 3 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*x - x - 96 = 0, 3*p + x - 144 = 0. Calculate the highest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11689 + 22715\/2. Let z = l - -322. Find the common denominator of z and 27\/(3159\/1300) - 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 83982741.\nAnswer: 755844669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m + 1696 = 6*n + 2*n - 496, 50 = 5*m - 387 - 103 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -422.35209 + -0.04791. What is a rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -21. Let h(k) = 2*k**3 + k**2 - k. Give h(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12254.151 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*r**3 - 3*i*r**2 + 8*i*r + 99*i - 56*r**3 wrt r?\nAnswer: 12*i*r - 6*i - 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/155 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p*w**4 + 185*p*w**3 - 45*p*w**2 - 184*p wrt w?\nAnswer: -24*p*w + 1110*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 13 - 5*r + 7*r + 13.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -31113 less than or equal to -31119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyhweyesffyyh. Give prob of sequence ws.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 6:06 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 6*x + 34. Calculate t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 8, q: 3}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/5*((-378)\/48 + 8)*(302 + -342).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501881 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: In base 9, what is -2 - -37?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-50)*-2)\/((-1)\/6)*-2.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*z + 6. Does 7 divide (91\/(-21))\/(1\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113*o**3 + 414 + 447 - 900 + 287 wrt o?\nAnswer: 339*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4575 divided by 3?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 57*n + 49. What is the remainder when z(-26) is divided by 93?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 + n**5 - 10*n**5 + (n**2 - n**2 - n**3)*(2*n**2 - n**2 - 2*n**2).\nAnswer: -11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/6705 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 0.3, 100038, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + u - u**2 + (u - u - u)*(-2*u + 5*u + 3*u) - 2 + 2 - u**2)*(412 + 158*u**2 - 412) as g*u**4 + v*u**3 + c*u + h*u**2 + b and give g.\nAnswer: -1264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 26*g**2 + 355*g - 62. Determine o(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + 0.45. Suppose -2*q - 2*q + 3 = -3*x, -21 = -2*x - 5*q. Which is the closest to x? (a) m (b) -0.4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43164, 43170, 43188, 43224, 43284, 43374, 43500, 43668?\nAnswer: 43884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**1\/u*(u*u*(u**1*u)\/u*u)\/u assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5554511 (base 6) in base 10?\nAnswer: -279691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 727\/4 - 182. Suppose -3 = 2*l - 7, 3*i - l + 62 = 0. Let m be (-2)\/9 + i\/315. Which is the second smallest value? (a) z (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 987*m - 242*m + 10 + 0 - 14 as b*m + q and give b.\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -n + 46, 200*k + 54 = 197*k + 3*n for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*((c*c\/(c**(-1\/3)\/c))\/c)\/c)))**(-31))**(-9) assuming c is positive.\nAnswer: c**651","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*-1*-6 - sqrt(119)) + sqrt(119)*4*-4)\/((sqrt(1344) + sqrt(1344) + -1*sqrt(1344))\/(2*sqrt(243) - sqrt(243))).\nAnswer: -99*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 40 = 19*p. Find b such that 2*b**3 - p - 2*b**2 + 4 + 6 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/3*-1 + 40\/(-60). Solve -4*i + 5*i = -z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1858, 3, 85, -6, -3, -5, 0 in increasing order.\nAnswer: -1858, -6, -5, -3, 0, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.75 + 2.264. Let u = 3.0143009 - o. Round u to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 8*h**2 - 6*h. Let f be q(-4). Let z = 0 - f. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -234236.4545061 - -234139.4545. Let b = 97 + j. Round b to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 - 19*a**2 + 7*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -13. Let c = k - -7. Find the third derivative of 4*y**3 + 5*y**2 + c*y**3 + 3*y**2 - 10*y**3 wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.51 - 0.71. Let x = -0.3 - -0.2. Let t = x + h. Sort t, -1\/5, 0.1.\nAnswer: t, -1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 214. Let v = h + 188\/3. Which is the nearest to 0? (a) -1 (b) -2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379 divided by 87?\nAnswer: 1379\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 38 = -506. Calculate the remainder when l is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(((-1)\/3)\/(10\/(-6))). Suppose -d = -7 + y. Suppose -4*x + 300 = 4*o, -d*x + 76 = 4*o - 3*o. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 1, s: 2}. What is prob of sequence iss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 46*q + 990. Calculate r(-23).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 = 3. Calculate the common denominator of (-888)\/(-672) - (5 + r) and -71\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -303, -573, -805, -999, -1155, -1273?\n\"Answer: 19*g**2 - 327*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4594671 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m - 45 = 0. What is the least common multiple of 6\/m + (-44)\/(-3) and -3 + -3 + 1*28?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10752 + -1677431\/156. Let h = v - -1\/78. Let j = 3 - 2.9. What is the nearest to j in -0.2, 4, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -22.18. Let m = f - 3.82. Which is the third biggest value? (a) -0.4 (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**2\/6 - 8275*r\/3 = 0.\nAnswer: -3310, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/56 of a week?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from hhhhhhyhhyhyhyyyyyy?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*i - 4)*(-7*i + 3*i + 2*i)*(-6*i**2 + i**2 + 0*i**2).\nAnswer: 20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -173.\nAnswer: 59\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -686817461?\nAnswer: -686817461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 80 = -37*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 110*u - 317. Let m be a(3). Solve 4*j - 4 - 2 = -2*p, 0 = -5*p + 4*j - m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**6\/120 - b**5\/10 + 3*b**4\/8 + 5*b**3\/6 + 6*b**2. Give m(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 4*c**2 - 4*c + 7. Let g be s(-5). Let b be 1 + 1 - (-74)\/g. Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.5 + 226.5. Let a = s + -231.999999743. Round a to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 4 - 4)*(-6*h**2 + 10*h**2 - 7*h**2) + (0*h + 0*h + 2*h)*(-h**2 + 2*h**2 + h**2).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + -138. Let s = 164 + v. What is the fourth biggest value in s, 4, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9462 + -13.\nAnswer: 9449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 565 - 134. Suppose -h - 186 = 69. Let v = x + h. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88294 equal to 88312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 6*o + 5. Suppose 3*c = -y + 19, 11*y - 8*y - c - 47 = 0. Suppose -y*s + 8*s = 32. Give p(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/13))\/(g**(1\/46)\/g*g) assuming g is positive.\nAnswer: g**(723\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*g**4 - 1195*g - 17564?\nAnswer: 20*g**3 - 1195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z. Let y(k) be the third derivative of -k**5\/30 + 59*k**3\/6 - 5*k**2 + 3*k. Determine y(r(o)).\nAnswer: -8*o**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -317414601?\nAnswer: -317414601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44\/33*15\/2. Let r = 12 + 4. Suppose 2*u = 4*y - r, 4*u + 5*y - 6 = 14. Solve -x + 2*k - o = -3*x, 5*x - 2*k + 10 = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 2\/(-2))*(20 - 18) - -81140?\nAnswer: 2, 3, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 867 divided by 1\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 71024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1917 and 35576727269.\nAnswer: 35576729186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 153264\/(-2108) - 360\/(-510)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-14)\/(-8)))\/(60*17\/(-238))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -581 (base 12) to base 16\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:06 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.158 (b) 0.5 (c) 3 (d) 10 (e) 1\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -23\/7, 3\/7, -0.1, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/71, 0, 6929?\nAnswer: 6929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 645697.9 years in millennia?\nAnswer: 645.6979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g - 16 = 0. Let c be 4\/g - (7 + 1). Let z be (-8)\/(-28) - 40\/c. Is 7 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 149 - 188 - (-10 + -9 + 3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Let k = 3 - t. Does 12 divide ((-51)\/6 - 3)*k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 2*v - 0*v. Let f(u) = -u**2 + 2. Let d be f(v). Factor 2*s**2 + s**4 - 2*s**3 - 10*s**d + 4*s + 7*s**3 - 2*s**4.\nAnswer: -s*(s - 2)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a + 15 = 0. Let i(f) = 4*f. Let h(z) = -48*z - 1. Let w(d) = 673*d + 14. Let u(x) = -14*h(x) - w(x). Determine a*i(v) - 6*u(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -902, -1895, -3456, -5579, -8258?\nAnswer: -11487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6281?\nAnswer: 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from {w: 1, q: 1, y: 2, k: 1, i: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 - 642*p - 13464\/7.\nAnswer: -2*(p + 3)*(p + 2244)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - ((-2)\/5 - 458\/5). Calculate the highest common divisor of 28 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 903 in increasing order.\nAnswer: -3, 3, 903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 16*a**2 - 23*a + 4. Let g = 23 - 14. Suppose -35 = -2*p + g. What is the lowest common multiple of p and v(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1925\/(-6930)*(-7 + 2\/2). Which is the fifth biggest value? (a) 0.5 (b) -1\/2 (c) 2.7 (d) w (e) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -16 - (6 + -1 + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -579756*q**5 - q**3 - 1516577*q**2 wrt q?\nAnswer: -34785360*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 893709.7s to nanoseconds.\nAnswer: 893709700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194957394 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 + 9*i + 7. Let c(f) = -11*f**2 - 2 + 9 + 19*f + 4 + 4. Determine -6*c(v) + 13*d(v).\nAnswer: v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 2.3248, -4\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*k**3\/7 - 22431*k**2\/7 + 495*k\/7 = 0. Calculate k.\nAnswer: -55, 0, 3\/136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(2448)*2 + -5 + -4*(1 + sqrt(2448) + sqrt(2448))**2) + -1 + -5.\nAnswer: 672*sqrt(17) + 156702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 9. Let d(l) = 6*l - 10. Calculate 3*d(p) + 4*j(p).\nAnswer: -2*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -18. Let z = -207 - -274. Calculate the remainder when z is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 + 326*l**2 + 109600*l - 18960000 = 0.\nAnswer: -237, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 - -2.38. Let l = n - -6.8. Let w = l - 8.9. Which is the second smallest value? (a) w (b) -2\/5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 65.\nAnswer: -21\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10 + 12 + 67*o - 33*o**2 - 2 wrt o?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 123728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:49 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133222232 (base 4) to base 5.\nAnswer: -13122320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 6*b + 4*b)*(-13*b + 15 + 10*b - 3).\nAnswer: -6*b**2 + 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0 = -n + 18, 0 = 2*v - 6. Suppose -3*l - 4*c - 6 = 11, c = n*l - 8. Suppose i - 4 - l = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p - 6 + 9*p + 0. Let i(m) = m. Let h(c) = -3*c + 5. Let v(k) = h(k) + 2*i(k). What is 5*r(g) + 6*v(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/10)\/((-8)\/(-80)). Which is greater: 9 or k?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 12*y**2 + 28*y + 3. Let r be h(-14). Solve -r + 8 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431448816 <= 431448817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by -12\nAnswer: 55\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6896.51 nanoseconds in microseconds?\nAnswer: 6.89651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuzuuuuzzuzuuz. What is prob of sequence uuu?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 2*w + 4. Let c(z) = z**3 + 24*z**2 - 25*z - 4. Let y be c(-25). Determine m(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 0. Let h(v) = v**3 - 11*v**2 + 27*v - 114. Let d be h(m). Are d and -88 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (21\/(-9))\/(-1). Let m = 11797 - 530834\/45. Let h = m + -1\/45. Which is the closest to h? (a) x (b) -0.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, 0, -24022 in increasing order.\nAnswer: -24022, -17, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0*b*b)\/b)**(-44)*(b**(1\/4))**(16\/11) assuming b is positive.\nAnswer: b**(-964\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -448 divided by 32\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*c**2 - 499*c**2 + 4*c**2.\nAnswer: -383*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 2454. Determine x(128).\nAnswer: -1942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1886797.\nAnswer: 11, 43, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 25, -5*v + 49 = -u - 11. Suppose 0 = -h + g + 5 - 1, 5*g = 4*h - v. Let d(m) = m**2 - 6*m - 5. What is d(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67 + -1261?\nAnswer: -1338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2458ca (base 13) to base 10.\nAnswer: -869333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from lljeejlpdlglg?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22632\/7 + -904601\/280. Find the common denominator of (81\/1170)\/(57\/(-76)) and b.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13870 - 13698. Solve 170*f - x*f - 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -252*i + 251*i - 20, -3*s = 4*i + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/5, -16, 131.\nAnswer: -16, -2\/5, 0.4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.71 + 9.31. Let o = 8 - p. Is -3 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 + 30 - -54) + -69?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0553 in 2\/7, -0.2, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/6 + 7\/6. Let g(l) = 3*l + 12. Let c(x) = -3. Let b(q) = 12*c(q) + 3*g(q). What is b(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (288\/(-672))\/(6\/14)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/3))\/h*h)**(-3\/7)\/(((h*h\/(h\/(h**(-3)*h))*h)\/h)\/h**(-1\/2)) assuming h is positive.\nAnswer: h**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2\/8 + 99009*m\/4 + 198019\/8 = 0.\nAnswer: -1, 198019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389058?\nAnswer: 2, 11, 103, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14118*u = 13847*u + 7317 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:50 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 4*d - d. Suppose d*k - 90 = 43*k. Let b = 47 + k. Solve 3*f = b*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94.1 + 94. Sort 4, 3, p in descending order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*q**3 + 0 - q + 1 + 32*q**3 - 17*q**3 as w*q + v + t*q**3 + h*q**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 7. Let m be n(-2). Let k = m + 9. Suppose -t = -2*i - 13, -2*i - 28 + 6 = -4*t. Solve k = -g - t*r + 12 - 3, 2*g = 3*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(3204\/(-840) - 27\/(-126)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/50 - n**4\/10 - n**3\/5 - n**2\/5 - 15*n. Factor d(c).\nAnswer: -2*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.76 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.36507ng to kilograms.\nAnswer: 0.00000000002036507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p**2 - 4*p - 3\/4*p**4 + 0*p**3 + 1. Differentiate k(d) wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 69*s**3 - 115*s. Let q(l) = -23*l**3 + 38*l. Let p(b) = 3*m(b) + 8*q(b). Find the second derivative of p(r) wrt r.\nAnswer: 138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n, -a - n + 2*n = 0. Suppose a = 120*u - 104*u - 118928. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233109 divided by -1317\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9))**(-1\/71)*q**22*q*q**11*q assuming q is positive.\nAnswer: q**(2494\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -1)**2 + sqrt(343) + -3)*2.\nAnswer: -30*sqrt(7) + 1690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4886 and 22963502?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1307)\/(-7842)*30\/4)\/((-10)\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**3 + 0*c + 168 + 169\/6*c**6 + 0*c**5 + 0*c**2 + 0*c**4. Find the third derivative of m(r) wrt r.\nAnswer: 10140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 2:42 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/5 - 128*m**3\/5 - 2288*m**2\/5 - 1536*m - 1440 = 0. Calculate m.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02 and 26.81069276608.\nAnswer: 26.83069276608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 0*x**2 + 0*x**2 + x**2 + 0*x + 0*x + (x - 2*x + 3*x)*(-x + 0*x + 0*x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 3*v**2 - v - 2. What is the least common multiple of (-3 + -1 + -1)\/((-115)\/138) and d(-3)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3514663, -7029326, -10543989, -14058652, -17573315?\n\"Answer: -3514663*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 234102.62 rounded to the nearest 1000?\nAnswer: 234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 743267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9096*w + 25515*w + 54859*w.\nAnswer: 71278*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365 - 220. Suppose 3*v - z = -61. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.253 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g**3 - 23*g**2 + 73*g - 23. What are the prime factors of d(15)?\nAnswer: 2, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(52) - (-2*sqrt(468))\/sqrt(9))\/((sqrt(48)\/sqrt(4))\/sqrt(3)).\nAnswer: -1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1479187 and 3859.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77, 153, 231, 311?\n\"Answer: b**2 + 73*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5868.16 litres in millilitres?\nAnswer: 5868160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5599 - 23857 = -8*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -35. Suppose -47*t + m*t + 162 = 0. Calculate the remainder when t is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 249876.628886928 and 5.\nAnswer: 249881.628886928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17354 + 18807. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22692 + -158 + -6*(3 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5172232 bigger than 5172245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014408025 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 702*o**2 + 2 - 925*o**2 to the form g + n*o + v*o**2 and give v.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-42))\/(55\/44).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 4 + 2*g - 6*g)*(g - 2 + 2)*(-4*g**2 - g**2 + 4*g**2).\nAnswer: g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10566867 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132503 * 0.2.\nAnswer: 26500.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/9 - 2)*(-1134)\/(-441).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -541 - -537. Let v = 0.1 + 0.9. Suppose 0 = 3*u + 3*x - 6, -u - 7 + 3 = 3*x. What is the nearest to v in q, u, -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/((-142272)\/(-583148)) - (-15)\/(-24)) + 4\/(-26)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-4\/9))\/(h*h**12*h*h*h) assuming h is positive.\nAnswer: h**(-139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5201, -20775, -46737, -83093, -129849, -187011?\nAnswer: -254585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2540859?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q**2 + 5*q - 6. Let m(g) be the first derivative of g**4\/4 - 4*g**3\/3 - g**2 + 11*g + 1. Let s be m(4). What are the prime factors of o(s)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11785450 and 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(605))*1 - (sqrt(605) + sqrt(605) + 0)*-1)**2.\nAnswer: -66*sqrt(5) + 5446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/60 in 0, -1\/5, -2\/3, -5, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/12 (b) 0 (c) -219 (d) 0.3611\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-243)\/(164025\/(-1080)))\/((-2)\/20*1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1507*c**2 - 11*c - 13 - 14*c - 14 - 8 + 1509*c**2. Calculate g(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 1, c: 2, n: 4, q: 1, d: 3}. Give prob of sequence qc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 56. What are the prime factors of p(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 16 = 1, 0 = -5*r - 7*g + 50. Is -0.132 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45461 and 3766?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - p + 95 = -0*p, -3*p - 35 = -l. Let i be (2\/15)\/(6\/l). Determine t, given that i*t + 2*t**2 + 0 + 14\/9*t**3 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225648 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 23. Let y be t(12). Calculate the remainder when 684\/y + 2\/(-11) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q + m - 11, -2*q + 5*m = -33. Let s be (-304)\/(-72) - q\/18. Let r be (28\/42)\/(s\/30). Solve 3*v + 19 = w, -1 = -4*w - 4*v - r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832273 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from {k: 6, x: 1, d: 5, g: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102355 and 24255?\nAnswer: 45138555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3380 - 0\/3 - 5. Let h = d + 1519. Let j = h + 1182. Round j to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.723*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**3\/2 + 3*w**2 + 12*w - 2. Let m(q) = q + 1. Give -6*m(a) + u(a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2883270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 778 and 778?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-540)*23\/(184\/(-96))\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 20, 17, 14, 11?\n\"Answer: -3*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, 1, 0, -1, 4523, -6 in descending order.\nAnswer: 4523, 3, 1, 0, -1, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w + 39 = 159 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 l when three letters picked without replacement from {e: 5, h: 2, r: 3, l: 2, s: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(17) - (2*sqrt(34))\/sqrt(2))**2 + sqrt(17) - (((sqrt(204)*2)\/sqrt(12))**2 - sqrt(17))) + 0 - (6*sqrt(68)*-1)\/(5*sqrt(8)\/sqrt(2))).\nAnswer: -102 + 32*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*o + 5*n, 12*n = 2*o + 11*n - 4. Suppose -2*h = -a - o*a + 638, 482 = 3*a + 2*h. Calculate the greatest common divisor of a and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w + 272. What is the hundreds digit of u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1244764*i. Let g(q) = -q. Determine o(g(j)).\nAnswer: -1244764*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 159*f - 154*f, -5*d - 53 = f for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/(-155))\/((-11)\/5).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, 4, 15, 1\/2, -25 in descending order.\nAnswer: 15, 4, 1\/2, -25, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3336 = 19*j - 3897, -5*j = 5*m - 135 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/95 and -38\/3671.\nAnswer: 348745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 48 + 15 = 0. Let z = f - -19. Suppose -5*r + 70 = p + 14, -2*r + 280 = 5*p. What is the highest common factor of z and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let x(g) = 2*g. Let f be ((-2)\/6)\/(2\/30). Let y(c) = f*z(c) + 4*x(c). Let j(q) = 2*q**2 + 4*q**2 - 2*q**2 + 4*q**2. What is y(j(u))?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -713 - -793. Calculate the highest common divisor of 144 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4 and -51\/524.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 4*u**2 - u - 2. Let l be v(2). Let g(s) = -8*s + 102. Let a be g(14). Let w(j) = j + 11. Let b be w(a). Solve l*d - 15 = b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:32 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.03488677 rounded to 1 dp?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13b (base 12) to base 11\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.642 + 65.95.\nAnswer: 56.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23 - 12*y**3 - 9 - 8*y**3 - 11*y**3 wrt y.\nAnswer: -93*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*h - 6 - 54 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2004 - 25214?\nAnswer: -23210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1044, -1626, -2598, -3960?\nAnswer: -5712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1440286445 and -3.\nAnswer: -1440286448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -25 in descending order.\nAnswer: 4, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3622 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**3 + 6*l**2 - 6. Suppose 0 = -2*g - y + 12, 2*g = -67*y + 62*y + 12. Let b(z) = z**3 - z**2 + 1. What is g*b(v) + u(v)?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153129430 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223514.\nAnswer: 2, 23, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1929\/11 (c) -4 (d) 2\/5 (e) 5\/4 (f) 300\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4028*s - 5782777 = -4025*s, 5782787 = 2*h - 5*s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-47 - (-42 - -4))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 1\/2*c**4 + 0*c**2 - 1\/15*c**6 + 0*c**5 - 2*c + 0*c**3 + 0. What is the third derivative of d(v) wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*b + 189*b - 6264 - 15250 - 642 = 0 for b.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x**3 - 5*x**2 + x - 2. Let q(p) = -5*p**3 + 3*p**2 - p + 1. Determine -5*q(h) - 3*v(h).\nAnswer: -2*h**3 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*n + 21 = -851*n - a, -3*n - 3*a - 18 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(3 - 15\/6). Let v(q) be the third derivative of q**5\/60 + q**4\/24 + q**3\/2 - q**2. What are the prime factors of v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -986*-8982.\nAnswer: 8856252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15993, -63963, -143913, -255843?\nAnswer: -399753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 5082.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*m + w + 564, -3*m + 567 = -w. Calculate the greatest common factor of m and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1453.72 (b) -4\/11 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.597109 and 0.17?\nAnswer: 0.10150853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -30*b + 8. Give k(5).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 20*o - 7. Is 15 a factor of k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.71053 to two decimal places.\nAnswer: 44.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 58*b**3 + 3*b**2 - b + 14. Let u be q(3). Let n = 2476 - u. List the prime factors of n.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-4 + 6)*2) + 28\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 0.05298.\nAnswer: -3.94702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(16)\/sqrt(2) + sqrt(8))\/sqrt(4) + (sqrt(6)*-1)\/sqrt(3) + -5.\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 60?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-21) + 317\/7 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*h - 104*h - 45*h**2.\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 w when four letters picked without replacement from {w: 4, j: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*u + 1475 = 6203 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -d, -6*z + d + 1724 = -3*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -633, -717, -805, -903, -1017, -1153, -1317, -1515?\n\"Answer: -o**3 + 4*o**2 - 89*o - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1296 divided by 57\nAnswer: 432\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 1 + 1 - 3*l**3 + 3*l**3 + 4*l**3 + (-63*l**2 - 154*l + 154*l)*(l + l - 3*l) to the form w*l**2 + i*l + n*l**3 + z and give n.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2. Let y(x) be the third derivative of -17*x**4\/12 - x**2 + 26*x. Determine y(i(r)).\nAnswer: -102*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -294722 and -107?\nAnswer: 31535254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 4*n - 24 = 2*a, a - 3 = -n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/92 - (-390)\/9200*-5. What is the nearest to -2\/7 in -4, -0.28, d?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2\/11, -22, 0.4, 1\/3 in ascending order.\nAnswer: -22, -2\/11, -1\/7, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -74\nAnswer: 33\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 307 (base 15) to base 13\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1300)*-1*6*-5 + 4)*5)**2.\nAnswer: -175502400 - 360000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20768*m**3 + 4788*m - 4788*m - 20771*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**7\/91 + 8*b**6\/195 - 2*b**5\/65 - 1658*b. Solve h(y) = 0 for y.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3771 - 3660. What is the smallest common multiple of b and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 + 2*c**2 - 1. Let v be a(1). Let u be (v + (-20)\/(-8))*4. What is the closest to -0.1 in u, 4, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1704, -83, -5350, -14097?\n\"Answer: -1740*x**2 + 3433*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvv when three letters picked without replacement from {v: 4, h: 3, r: 5, b: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*c + 4)*(-2*c**3 + 0*c + 0*c) + 10*c**3 - 10*c**3 + 6*c**4.\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51791 is divided by 12946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.047746us to nanoseconds.\nAnswer: 47.746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-57 - -19) + 38 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 8 - 10)*(-4*l + 6*l + 0*l + 2*l - 2*l + l + (-1 + 1 + 1)*(3 - 3 - l) - 6*l + 4*l + 4*l + 0*l + l + 0*l) to k + w*l and give w.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20784 by -4.\nAnswer: -5196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-18)\/20)\/((-24)\/10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156708*r + 7 - 7 - 69481*r.\nAnswer: -226189*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7072)\/(-4862))\/((-2)\/11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5*-1)\/(1\/2). Let u be (-5)\/b - (-1)\/(-2). Let r(m) = 3*m**2 + 0 + 0*m**2 + u + m**3. Determine r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 5*z + 195. Calculate i(0).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 92413449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 682481479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 5*d**2 - 7*d + 9. Let p be s(6). Let u = 10 - 5. Suppose p*f = u + 7. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 9) to base 15\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20\/3 - 6. Let f = -6\/7 - -11\/21. Which is the biggest value? (a) -0.5 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -6. What is the tens digit of (a\/(-5) - 2)*-54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**5\/300 + k**4\/10 + 149*k**2. Suppose i(c) = 0. Calculate c.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 8*f**2 + 7*f**2 - f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*w - 2 + 109*w + 70*w + w**2 + 61*w to the form b + m*w + a*w**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 41.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53561 and 17785071?\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 682.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 179022, 179017, 179008, 178995?\n\"Answer: -2*c**2 + c + 179023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.465*1.\nAnswer: -0.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -2\/7 (c) 1\/9 (d) -3\/140 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 e when three letters picked without replacement from cetmeatc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 3*w**2 - w**2)*(3*w - w - 7*w) + (-1 + 3 + 0)*(-2*w - w + w)*(27*w**2 - 36*w**2 + 18*w**2).\nAnswer: -26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -536*0.067.\nAnswer: -35.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*f + 1 - 1 - 283*f to d*f + s and give d.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1006368 and 13082784?\nAnswer: 13082784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -u - 4*d - 3, -30 = -u - d. Calculate the smallest common multiple of 12 and (-5)\/u + 181\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 43 - 15)*(-26*b + 17*b + 146*b) to the form d + f*b and give f.\nAnswer: -8494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1983, 0.33, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21248 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 508 (c) 31.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78.9 - -79. Let d = 8 + -12. What is the closest to -2\/7 in -2, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5757786 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1064 and 11481472.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50300514 divided by 172854?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - (-3 + 15) - (19 - 32 - 12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.99987 + 47. What is k rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuusuzumiguzz. Give prob of sequence zzgm.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99) + 3 - sqrt(99).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*b + 6*b - 135, -130 = -4*d + 2*b. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7971025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10389 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(78)*2 - 2*(sqrt(78) + 1*sqrt(78) + sqrt(78)))\/((sqrt(54)*4 - sqrt(6)) + sqrt(6) + 2*sqrt(864)).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7669 - 7668.6. Which is the smallest value? (a) -1\/2 (b) 2 (c) m (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 424881 + 144580. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/3)\/(15\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*z + 9. Is -3*(102\/z - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/3)*c**(4\/3)*(c\/(c**6\/c))**(-39\/7) assuming c is positive.\nAnswer: c**(503\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/3 (b) -2.1 (c) 0 (d) 3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g - 11. Let c be m(-4). Let o(l) = -3*l**2 + 3*l + 2. Let s(z) = -z**2 - z. Let a(f) = -o(f) + 2*s(f). What is a(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-476)\/(-12))\/(-7) + 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45094620 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*a + 724, 1451 = 4*d + a + 4*a. Suppose 2*l = -4*j + d, -l + 0*l + 275 = 3*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a second in milliseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 3, 10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7591 + -7590.997701. What is t rounded to 5 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 0. Suppose 2*j - 4*j - z = -5*a, -4*j - 12 = a. Let b = -61 - -61. Put b, 8, j, 5 in ascending order.\nAnswer: j, b, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*k = -26, 2*k = -1370 + 1360 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 80772476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 631359 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(189)\/sqrt(3) + sqrt(63))\/sqrt(9))**2 + -5 + sqrt(567) + -2 + 1.\nAnswer: 22 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, 143\/10, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1173, -2539, -3861, -5115, -6277, -7323, -8229, -8971?\n\"Answer: 4*q**3 - 2*q**2 - 1388*q + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -555?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*z + 6385, -15778 = -5*c + 2*z + 16120. What is the tens digit of c\/16 + (2 - 14\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3140237 is divided by 15623?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a. Let h(l) = -l - 3. Let i be (2 - 12)*1\/1. Let t be h(i). Let s(z) = -2*z + t*z + z. What is s(n(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12486 - 12484. Let j = -8 - -16. Let g(i) = i - 3. Let q be g(5). Solve -d*m + j + q = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, 63, 276, 703, 1416?\n\"Answer: 12*g**3 - g**2 - 10*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.62 times 484426\nAnswer: -300344.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1420 in -19, -93, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 3*a**3 - 2*a**3)*(3 - 3 + a) - 3*a**4 - a**2 + a**2 + (0*a**2 - 2*a**2 + 7*a**2)*(a - a + a**2).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24510, -24557, -24602, -24645?\nAnswer: -24686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2039933 divided by -80\nAnswer: 2039933\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12550 + 12550 - v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/(-9)*18\/7. Suppose -m = 2*t - 8, -t + 3*t - z = -5*m. Let s = 3\/2 - t. Sort -0.3, s, 2 in increasing order.\nAnswer: s, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -589*f**5\/4 + 185*f**4\/12 + 5*f**3\/6 - 2619*f. What is the third derivative of i(j) wrt j?\nAnswer: -17670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.4 + 32. What is the third biggest value in 0, 3\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/169 - (-7)\/((-273)\/(-864)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7901 - 992. Suppose 0 = -2*t - 12 + 4, 5*h + 4*t - o = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(6\/1425) - (-30)\/6. Suppose 487*p - o*p = 161. Solve p = 8*m - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Suppose 4*s - 32 = n*q, -q + 4*q + 44 = 5*s. Is 14 a factor of (-4)\/q - 75\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 6*n**2 - 3*n + 5. Let b(z) = 732*z - 2192. Let y be b(3). Let l(u) = -5*u**2 - 2*u + 4. Determine y*l(v) - 3*f(v).\nAnswer: -3*v**3 - 2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 11. Let u be w(9). Let z(x) = -12*x + 4. Let o be z(5). Let c be (-2)\/u - 1776\/o. Solve -5*n + 7 = c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 21*w. Let g be c(-21). Suppose x + 3*x - 16 = g. Suppose -3*b - d = -4*d - 54, 4*d = -x. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1274 - 476 + 695 - 1034 - 820)*(-a - a + 0*a) to the form t*a + x and give t.\nAnswer: 5818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*c + 5, 10*v - 5*v = -c + 20. Suppose -v*s + 3 = o - 2*o, 4*s - 4 = 0. Let l(r) = r**2 + 2*r - 2. Let b be l(-3). Does b = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 divided by -3175995?\nAnswer: -281\/3175995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -370682*f**3 - 3*f**2 - 3138148*f + 1 wrt f.\nAnswer: -2224092*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 127\/87?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-1 + sqrt(171) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191 and 10123.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44799, 44892, 44983, 45072, 45159, 45244, 45327?\n\"Answer: -v**2 + 96*v + 44704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 4) to base 3.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 1:30 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/4)\/((-19)\/38). Let r(n) = -n**3 - 6*n**2 - 4*n + 7. Let l be r(h). Let t(v) = -4*v**2 - 3*v**l + 9*v**2. Let a(m) = 3*m. What is t(a(f))?\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-3 + (5 - 3 - -1) + -16).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23960 rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 97806822*t**2 + 1. Let s(v) = -5*v. Give s(x(a)).\nAnswer: -489034110*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10112 - 3046248.5.\nAnswer: -3056360.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 102. Does -5 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4 - 43*n**3 - 191*n wrt n?\nAnswer: -12*n**2 - 258*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*f - 279 = 0, -3*f + 299 = 4*g - 2*f. Calculate the remainder when 600 is divided by g.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 10*g**2 + 223*g + 3398. Give n(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 4*i + 10. Let h be c(5). Suppose -2*o + 4 = -h*m - 0*o, -o = 2*m - 2. Solve m*p = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/20 + 47*b**4\/4 - 2209*b**3\/2 + 103823*b**2\/2 + 2*b - 32. Factor v(i).\nAnswer: -(i - 47)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 18 = -0*m. Suppose 2*t - m = -3. Solve -4*w - 5 = t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*g = 26, 4*l - 12 - 20 = 4*g. Suppose 71 = 2*s - 85. What is the smallest common multiple of s and l?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78.7 + 79. Let t = -0.6 - -1.4. Let y = t + -0.5. Which is the nearest to r? (a) 0.4 (b) y (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 + 11*f**3 - 6*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58275, -116470, -174535, -232404, -290011, -347290?\nAnswer: -404175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 + 5 - 3) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*b = -47, -11*k + 8*k - b + 49 = 0. Solve 3*q - 4*v + 1 + 5 = 0, -k = -3*q - 4*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/60 - 7*u**4\/24 + 3*u**2 - 1. Let s(w) = -w**2 + 3*w. Give 3*d(m) + 7*s(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1343 - -103054?\nAnswer: 104430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Find the third derivative of -n + 3*a**6 - 2*a**2 + 0*a**2 + 2 wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386239698 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozz when three letters picked without replacement from {o: 6, y: 2, j: 3, z: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2833 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-4))\/((-4)\/(-16)). Let h be 1\/3 - 7\/p. What is the closest to 0.1 in -0.5, h, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2 + 2 + 3 + 8*g - 3 + (1 - 2 + 2)*(10*g + 7*g - g) + 0 + 2*g + 0 - 2*g + 5*g - g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 50*y**2 - y + 1. Let p be a(1). Suppose 63*f = 61*f - 4*q - 88, 3*q - 132 = 3*f. Let t = f + p. Solve j - 21 = 5*h, 5*j = -4*h - t - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(567))*1 + -2 + 5)**2.\nAnswer: 90*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 753 + 777 = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 23 = 3*a, -4*a + 18 = -3*i + 4. Suppose u + 1 = -2, 0 = -a*g - 4*u + 1038. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/(2\/12). Suppose 4*j + 48 = j. Let d = j + 11. Sort 0, q, d in descending order.\nAnswer: q, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3863440693?\nAnswer: 7, 313, 1763323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93694677?\nAnswer: 3, 467, 66877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(5 + -3*(1 + sqrt(252)) + sqrt(252)*-1*-1)*-6)**2.\nAnswer: -6912*sqrt(7) + 145728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 875*i**2 + 2559*i**2 - 702*i**2.\nAnswer: 2732*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbqq when four letters picked without replacement from {u: 1, b: 2, q: 5, x: 2, p: 6}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/7 in 3, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193552 and 160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**3 - a**2\/2 - 3. Let c be y(1). Suppose -5 = -g + l, -5*g + 0*g = c*l - 18. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67933 is divided by 204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2186 and 1073285559.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024403 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 10:07 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*o + 131, -4*o - o = 3*h + 359. Is -15 - -19 - (0 + h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 166730.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 + 99. Sort 5, u, 3\/4 in decreasing order.\nAnswer: 5, 3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 251*t - 610. What is the hundreds digit of c(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let g = -4 + 3.9. Which is the nearest to g? (a) 0.1 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 10 + (6 - (-3 + 11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1408259)\/(-1) + -14 + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 387763\/4440 - 1\/1480. Let l = r - 84. Calculate the common denominator of 6\/(-8)*(-4)\/7 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}