diff --git "a/data/dm_maths/full_data/2261_11255.jsonl" "b/data/dm_maths/full_data/2261_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2261_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 9489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 6*y**2 + 2*y + 6. Suppose -6*u + u + 25 = 0. Let m be o(u). Let c = m - -9. What is the nearest to 0.1 in 4, c, -1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-3*sqrt(931) - sqrt(931)) + -2*sqrt(931)*1)**2.\nAnswer: 134064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 4, r: 1, d: 4}. What is prob of sequence rk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/9 - 215*r\/9 + 7742\/3.\nAnswer: -(r - 79)*(r + 294)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - -11. Calculate the highest common factor of 12 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-1) - (0 - -1066). Let m = 6365\/6 + p. Find the common denominator of 5*8\/120*0 - 72\/38 and m.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 divided by 125?\nAnswer: 227\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 + -2)*-2*(-994)\/(-2485).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t**3 - t**2 - t. Let k(w) = -6*w + 4*w**2 - 7 - w - 5*w**2. Let z be k(-6). Let q be o(z). What is the greatest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(0*k**5 + k**5 + 0*k**5) - 2919 + 691*k**5 + 2919 - k**5 - k + k.\nAnswer: 691*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 11*k**5\/60 + 2*k**2. Let i(g) be the third derivative of -g**5\/30 - 296*g**2. Calculate a(i(d)).\nAnswer: 44*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6406)\/(-4) + (1 - 36\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -1214, 0.22, -1\/2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 61182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0*w**2 + w**2 + 0*w**2 + 2*w - 3 + 3*w**3 + 4. Suppose 38*y = 34*y - 4. Calculate n(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/60 + h**4\/12 - h**3\/2 + 3*h**2. List the prime factors of b(4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/((-340)\/(-480)) + -304840024. Round l to the nearest one million.\nAnswer: -305000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07 and 26421.\nAnswer: 26420.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2370*u - 1339?\nAnswer: 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1110110101100101010011?\nAnswer: -1110110101100101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56220409883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 95 = -154. Suppose -4*v + j = 3. Let c = 55 - v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsozszczsocs. What is prob of picking 1 s and 1 o?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**8\/336 + q**6\/60 + 5*q**5\/4 - 82*q**2. Find the third derivative of f(s) wrt s.\nAnswer: -60*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 75*h - 232. Let b be u(15). Let v(l) = 23*l + 2. Let c(o) = 12*o + 1. What is b*c(z) + 3*v(z)?\nAnswer: -15*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1029*d + 116 + 1029*d - d**2 to g*d**2 + n + t*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6509 + 6513. Let t(u) = -u**3 + 5*u**2 + 5*u - 5. Give t(j).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 8 = -3*o + t, -o - 4 = -3*t. Suppose -i + 28 = 4*q, 2*q + o*i = -2*i + 14. Calculate the highest common divisor of q and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - 2*w + 3*w + (w + 2*w - w)*(-3 + 6 - 4) + (-w - 2*w + 4*w)*(0 + 3 + 3) + 3*w - 3*w + 2*w to the form p*w + z and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r + 632 = 2*c, 1618 = 5*c + 2*r. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + t - 21, 5*y + t + 15 = y. Let v be y\/(-4*1\/(-18)). List the prime factors of (-1 - -4)\/(v\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3348 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -3 - -4) + (0 + 68 - (1863 - 1804))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111110000110111110101 (base 2) to base 13.\nAnswer: 220c737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -10. Let k = -14 - -48. Suppose 4*x = 5*s - k, 3*s + 3*x - x - 16 = 0. Calculate the smallest common multiple of s and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/sqrt(44) + -5*(sqrt(13) - sqrt(52)\/sqrt(4)) + 1.\nAnswer: 1 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 5*r**2 + 6*r + 6. Let l be o(-4). Let u(h) = h**3 - h. Let q be u(1). Let m = q - l. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s - 160845 = 570305. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(56)*2)\/(2*sqrt(16)\/sqrt(2)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -104d5a2 + -38?\nAnswer: -104d5da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 6*o - 1. Let r(q) = -q + 1. Let k be r(-1). Suppose -k*z = -4*n, 5*z + n + 0 = -22. Calculate l(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 4*n**2 + 7 + 0. Let f be (-25)\/4 - 3\/(-12). Let l(z) = z**2 - 3. Calculate f*g(t) - 14*l(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 3, -370, -3.\nAnswer: -370, -3, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/1*-1*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 4. Calculate y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3070461482408 - -0.13?\nAnswer: -3070461482407.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1 (c) 0.5 (d) -4 (e) 12.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -317, -463, -623, -803, -1009?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -46905730 smaller than -46905774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2763, -2\/33, -0.0661 in descending order.\nAnswer: 0.2763, 0, -2\/33, -0.0661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/(-112))\/((-13)\/468))\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/2))**9)**(-20)*(a*(a**4\/a)\/a*(a**(4\/7)\/a)\/a)**(-1\/9) assuming a is positive.\nAnswer: a**(-17021\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + 52 + -16 + 2 + 3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*n + 301433 - 17447, -5*n = 15. Suppose -4*p + o = 22*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 3. Let c be q(-2). Let d be 0\/(-3) + 9 - 2\/c. Let f be (-2 + 35)*1\/3. What is the greatest common divisor of f and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -17 - -5 - -10) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 6*h**2 + 4*h + 1. Let i be u(-7). Let t = i - -11. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124023 (base 6) in base 12?\nAnswer: -29613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 3 = -11*p. Suppose 5*z - p*z - 42 = 0. Calculate the remainder when 41 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*j + 372*j - 178*j = -390 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543 = -332*v - 47*v - 9690 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8587.\nAnswer: 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8)*(9 + 11). Suppose b*a - 205 = 3*t + 2*t, 5*a = t + 61. Round t to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/18 and (-1)\/6*(-1128)\/40?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38098253 - 13.\nAnswer: 38098240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -16940059 greater than or equal to -16940045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 72, z + 3*r - 18 + 9 + 42 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btk when three letters picked without replacement from atnrrtaatrrnrbk?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-279)\/60)\/(11*(-3)\/(-44))?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 3*b**2 + 0*b**2)*(-4*b - 45*b - 88*b)*(-2 + 2 - 2).\nAnswer: 548*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2611181 from 2.\nAnswer: 2611183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*u - 1. Suppose -639*v + 616*v + 92 = 0. Calculate the smallest common multiple of u and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2434 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*h + 22*h + 3*z + 21, -6 = -h + 3*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 229*v**2 + 1140*v. Let n be m(-5). Solve n*x - 50 = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from viiviiiiiviiiviv?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 - -68 - -96 - (1 - -15).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-18) - 358\/(-12). Suppose 2*g = -6 + n. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000651063 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 1. Let r be v(1). Let q be 0 + 3 + 4\/(-2). Suppose 4*j - q = r. What is the greatest common factor of j and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 22448985?\nAnswer: -1\/4489797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4056, -9, 154 in descending order.\nAnswer: 4056, 154, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1043*p - 13523. Calculate w(13).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135.5 + 135.5. Suppose -7*i + 4*i - 5*a = 45, i - 2 = 4*a. Which is bigger: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -33 + -3*(-6)\/(-9). Suppose 924 = -2062*k + 2034*k. Which is smaller: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*h + 43, 3*y = 2*h + 572 - 575. Suppose 0 = 4*m + m. Sort 2, -66, m, y in increasing order.\nAnswer: -66, y, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (5\/5 - -3). Let s(c) = 3*c**2 + c. Let l be s(-1). Let x(i) = i**2 + 7*i + 3. Let r be x(-6). Sort r, l, t.\nAnswer: r, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82502888 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*g**2 + g**4 + 18*g**2 - 2*g**4.\nAnswer: -g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 52?\nAnswer: -9\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -2. Suppose x*g = g + 20. Does 12 divide ((-5)\/g)\/(3\/(-123))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*f - 130889 - 431271 - 1699810. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75194 divided by -1?\nAnswer: -75194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/38)*t)\/t**47*t**(4\/29)\/(t*t*t\/(t\/(((t**(1\/4)*t)\/t)\/t))))**48 assuming t is positive.\nAnswer: t**(-1245324\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Let r be (225\/54)\/(-25)*0. Let s(w) be the second derivative of 0 + 5\/6*w**3 + r*w**2 + 5*w. Give s(k(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/20 and -45\/278.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 16*l**2 + 15*l + 10. Let y be v(-15). What is the highest common factor of 70 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 38\/(-28) + (-7)\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 3*d - d)*(-4 + 4 + 1)*(-d**3 - 2*d + 2*d).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -7573 in descending order.\nAnswer: 3, 0, -7573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114038272, 228076544, 342114816, 456153088, 570191360?\nAnswer: 684229632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 316 + 503 = y, 0 = 5*y - 15 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -119 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 12*j**2 - 14*j - 9. Determine a(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 124, 231, 342, 445, 528, 579?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/12 - 93\/62. Which is greater: s or -4\/12439?\nAnswer: -4\/12439","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/15 + 17*k**4\/12 + 3781*k**3\/6 - 34*k**2 + 2. What is the first derivative of y(h) wrt h?\nAnswer: 8*h + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 + 1894*g - 25441. What is m(13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-89145)\/3075 - (-22)\/(-2255)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(110\/(-75))*4\/6. Suppose -v*h + 31 = 1. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 3*n**2 + 2. Let w(g) = -53670092 + g**2 + 53670093 - 2*g**2. Calculate -2*v(f) + 5*w(f).\nAnswer: -2*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9 = -2*g. Suppose -4 = g*b + b. Let x be (b + 1 + -2)\/(-9). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84904.19ml to litres.\nAnswer: 84.90419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -14.602989?\nAnswer: 19.602989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3797 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1290\/172*12\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-32 + 11 - -9) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5018 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11211122310 - 132?\nAnswer: 11211122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 12*x**2 + 12*x + 3. What is b(8)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.90246 + 4.8557. What is j rounded to 2 decimal places?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Is g\/(-22) + 140\/44 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/6*30\/25. Let o = 13 + a. Calculate the remainder when 34 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 + -12.3. Let v = -4 - g. Put 4, 0, v in decreasing order.\nAnswer: v, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.65872 - -0.02872. Let t = 0.63 + f. Let l = 21 + t. Is 1.2 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17029.82 rounded to the nearest 100?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o**3 + 0*o**3 + 15*o**3 + 6*o**3 - 32 + 10*o**3 + 32.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 149691, 149692, 149693?\n\"Answer: s + 149690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1000111?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 75789.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11874 by 10.\nAnswer: -5937\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1883151 + 16965815\/9. Let g = 1943 - i. Find the common denominator of g and -19\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2476 and -9\/4952?\nAnswer: 4952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*p*q*y - 598*p*q - 370536*p*y + 66430*q wrt y?\nAnswer: 15*p*q - 370536*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 25 = -9*s. Suppose d + 5 = 3*z + 5*d, 0 = -5*z - s*d + 15. Suppose 3*k = z*k - 32. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.005 (b) 4\/3019 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 18 = -137. Let v(l) = -2*l - 1. Let a(u) = 2*u + 1. Give q*a(d) - 6*v(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x = -5. Which is bigger: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -229 + 221. Suppose -3*y + 4*x + 21521 = 0, 0 = y - f*y - x + 21496. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -314*a**2 + 309*a**2 - 3 + 8 + (a - 1 + 1)*(3*a - 4*a + 0*a) - 5*a**2 - 3*a**2 + 3*a**2.\nAnswer: -11*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/(1 + 0). Let n = -3 + 3. Which is bigger: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/3090 and 71\/16995.\nAnswer: 33990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4\/18 + 64*u**3\/27 + 15*u**2 + 619. Suppose m(y) = 0. What is y?\nAnswer: -27, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4778 by -544.\nAnswer: 2389\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.27 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in months?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/22)*(b\/(b**(-5)\/b))\/b assuming b is positive.\nAnswer: b**(133\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 - 9*z - 6. Let k be t(-3). Suppose -2*u + 7*s = 9*s - 15016, -s - 22532 = -k*u. Round u to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4635.13 decades in millennia?\nAnswer: 46.3513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -781.317 - -781. Let m = l - -0.117. Let g = 2.3 - 2. Put m, g, -0.01 in increasing order.\nAnswer: m, -0.01, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 5*k)*(2 + 697*k - 296*k - 206*k).\nAnswer: -390*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d**2*s**3 + 59*d**2 - 15*d - 101*s**3 wrt s?\nAnswer: -21*d**2*s**2 - 303*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 436857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-2)*590528\/101497?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.216 to one dp.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56\/16 - (-2)\/4. Suppose d + 3*f - 2 - i = 0, -5*f + 10 = 4*d. Solve d = -3*w + 2*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {x: 2, o: 2, e: 4, f: 11}.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53272?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -683439, -683432, -683421, -683406, -683387, -683364?\n\"Answer: 2*d**2 + d - 683442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 5 - 10 + 3*a**2 + 5*a**2 - 6*a**2 - 39*a as s*a + x + u*a**2 and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13306645301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -5, 1 in decreasing order.\nAnswer: 5, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 - 2.3. Let d be (8\/2)\/2 - -2. Which is the closest to 1? (a) 3\/5 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.74 - -4.74. Let m = -0.03 + 4.03. Which is the second smallest value? (a) m (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416103983 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.449516436 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -539 + 573. Calculate the highest common divisor of v and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4060 is divided by 3894.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.03, 0, -2.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1424886756314 + 1424886756314 + n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/b**(-1\/10))\/b)**(2\/11) assuming b is positive.\nAnswer: b**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -725780, -725778, -725776, -725774?\nAnswer: -725772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 324543492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 10*x + 31. Let f be p(-13). Suppose 3*h + 16 = -4*a, -3*a + 6*h = 2*h - 13. Let z be -4*a\/10 + 30\/50. Sort f, z, 5 in descending order.\nAnswer: 5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -841*(1 - (0 + -1 + 3))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 + -5 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(8\/7)\/(b\/b**(-18\/11)*b) assuming b is positive.\nAnswer: b**(-192\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1414 divide 594580672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9483.262l?\nAnswer: 9483262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - c = -0*c - 10, -5*b + 3*c = -47. What is the units digit of 48 + 6*(8 - b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 23641.87mg?\nAnswer: 23.64187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3009 - 2685. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35168*i - 33369*i + 104342 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 2*a**2 - 7. Let x(t) = t**3 + 2*t**2 + t - 8. Let v(z) = -4*j(z) + 3*x(z). What is the remainder when 2\/(-2) - (-2 - 9) is divided by v(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 1:02 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 16) in base 5?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/11)*i\/i**7*i assuming i is positive.\nAnswer: i**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 25 = -4*v + 2*z, 4*v = -5*z + 33. Let i be v\/6*3 + -3. Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -83. Let r(i) = 2155*i**2 - i - 1. Is r(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 6*q + 2. Suppose -z - 26 = 3*i + z, 5*i = 2*z - 54. Let r(u) = -u**2 - 13*u - 11. Let p be r(i). Let x be p\/(-7) + (-2)\/7. Determine h(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2219248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*n + n - 35, 45 = 4*n + w. Suppose -111 - 29 = -2*l. Calculate the highest common divisor of n and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -433*l**2 + l + 71. Let q(i) = -1083*i**2 + 2*i + 170. Give -5*q(y) + 12*u(y).\nAnswer: 219*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -546 (base 12) to base 8.\nAnswer: -1406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1345 divide 694036140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1910 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-5)\/k*k**5*k)**(-5)\/((k\/((k**(-3\/2)*k)\/k))\/k**(2\/7)*((k*(k**(1\/3)\/k)\/k)\/k)**(2\/35)) assuming k is positive.\nAnswer: k**(-299\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = -2*x, 4*x - s - 2*s = -3. Suppose 3*c + x*o = o + 119, -203 = -5*c - 3*o. Calculate the highest common divisor of 30 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1588 + 72 + 0*l**2 + l**2.\nAnswer: l**2 + 1660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*j = 7039*j + 309504 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 116 = 18. Let c = 51 - m. Let f(z) = -12 + 6*z**2 + 4*z**2 + z**2 - c*z**3 + z**2. Let u(d) = -d**3 + 5*d**2 - 5. Calculate -5*f(h) + 12*u(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -32\/7*y + 16\/7 - 4\/7*y**3 + 20\/7*y**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 34\/13*y + 56\/13 - 20\/13*y**2 + 2\/13*y**3 = 0.\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8346705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = 4*u + 132. Suppose k = -4, 4*k = -3*f + f + u. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 = 21*i + 40*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (462\/161)\/((-809)\/(-18607)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*s - 3127352 = -206*s - 148*s. List the prime factors of s.\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*t - 145, -160*t - 158*t + 319*t - 4*s = 122 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h - 98*h + 56*h + 21*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38679689.\nAnswer: 37, 1045397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 4*j**2 - 5*j + 3. Suppose -4*q = -4*a + 28, -3*a + 0*a + 17 = -q. Let f = -4 - -5. Calculate the remainder when w(a) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239082 is divided by 34087.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x**2 + 47*x + 76. Let o(m) = 25*m**2 - 148*m - 227. Let z(d) = 19*n(d) + 6*o(d). Give z(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1933193, 1933003, 1932813, 1932623, 1932433?\nAnswer: 1932243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 2*g + 2. Let q(o) = 2*o**2 + 5*o - 5. Let u be (-2 - 0) + 0 - -7. Let x(f) = u*s(f) + 2*q(f). Let v(n) = 1 - 2*n - 1 + n. What is v(x(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) - (sqrt(3) - (sqrt(21)\/(sqrt(28)\/sqrt(4)))**2).\nAnswer: 3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -33. Let l be (2\/((-32)\/356))\/(1\/(-4)). Let z = l + u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/3272 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*-1*-10*24\/(-90)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amo. Give prob of picking 1 m and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-10))\/(26\/65).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 124286711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 - 188. Suppose 0*f = -f - 5*p - 1, -2 = 2*f + 5*p. Sort -2, f, v in ascending order.\nAnswer: v, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-1 + -13)) + 11 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173610.5 + 5.\nAnswer: -173605.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o**5\/3 + 361*o**4\/3 - 8342*o**3 + 69113*o**2\/3 + 145886*o\/3 - 63448 = 0. What is o?\nAnswer: -721\/10, -2, 1, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 249588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2814*a - 15379 - 150647 = 0 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -192892 divided by 581?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 37*y**2 + 523*y + 57. Let h be q(11). Suppose -35 = -4*k + 61. Sort h, 3, k.\nAnswer: h, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 20*b - 17. Let q be r(-9). Solve q + 3 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87654618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 16 = 3*s, 0 = -s - n + 5*n + 10. Let m be (s\/3)\/(2\/57). Solve 7 = -t + 3*r + 19, 2*r = -3*t - m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2. Let p be r(1). Let l be 6\/(-9) - (-59)\/p. Let a = l - 9. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1535, -1545, -1557, -1571, -1587, -1605?\nAnswer: -1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00164785761 to 5 decimal places.\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t + 27 + 135*t**2 - 128*t**2 - 31 as d*t + p + r*t**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:56 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 647284 divided by -4.\nAnswer: -161821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2 - 2 + 23*p - 20*p. Suppose 2*t = 4*i + 2, -i - 4 = 4*i - t. Let l be i\/(-1) - (-11 + 9). Calculate y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15333 (base 7) in base 6?\nAnswer: -31503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -18*p**3 + 353*p**2 - 48*p + 3. Is o(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(140\/62) - (-21)\/35.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -849 + 891 + 1 + 1 + -7.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m. Let l = -61 - -66. Let z(q) = -l*q + q + 9*q. Calculate z(o(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 159\/40?\nAnswer: 159\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*b**3 - 6 + b**2 + 8*b**3 + 5*b**3 as d*b + s*b**2 + q + a*b**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/968 and 29\/528.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 218.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 4*w + 3. Let d be f(-3). Let i be -2*(d + 148\/(-8)). Suppose 16*v - 28*v = -4884. What is the greatest common divisor of v and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 36 (b) 1.3 (c) -0.5 (d) 1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 7.2. What is the closest to p in -3, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 7*i + 1. Let p(a) = a**2 - 4*a - 2. Let t be p(5). Suppose -t*n - 14 = -n. Let s be j(n). Solve -4*u = 3 + s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*n + 141*n + 2 = 0. Solve n*i + 0*x = x + 7, 2*i - 3*x - 1 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 19\/(-5))*-1*1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -60?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v*v**10\/v)**(-48) assuming v is positive.\nAnswer: v**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 n, and 1 l when four letters picked without replacement from {g: 2, l: 1, r: 4, d: 3, n: 3, z: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let w = 0.15 + -1.05. Let a = w + -3.1. Put -1\/3, a, d in ascending order.\nAnswer: a, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -98*l + 8. Let p(r) = 490*r - 42. Give -11*i(a) - 2*p(a).\nAnswer: 98*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(20\/(-12))*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10.39726 or 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(sqrt(198) + (2*sqrt(198) - sqrt(198)))\/sqrt(6))\/(sqrt(396) + 1*sqrt(396)*1 + sqrt(396) - (sqrt(396) + sqrt(396)*2*2)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 7*c**6\/120 - c**5\/20 + 3*c**2 - 6*c. Let a(k) be the first derivative of w(k). Find the third derivative of a(b) wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 3\/4 (c) -0.3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3365472, 6730963, 10096454, 13461945, 16827436, 20192927?\nAnswer: 23558418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {f: 5, l: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -53 + 100 - 75 - 17*d - d**2. What is the remainder when c(-12) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49 and 361.\nAnswer: 17689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + (-840)\/(-5))\/1. Let m = -160 + k. Solve 11 - m = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -19 - 11. Let a(t) be the second derivative of -2\/3*t**3 + 0 + 0*t**2 + 2*t - 1\/10*t**b + 0*t**4. Find the second derivative of a(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3 and (-21640)\/11648 + (-4)\/(-14) - -2.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*p - 52 = 0, 219*c - 223*c + p = -44. Solve 13*a + 50 = -c*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*x = 4, -l - 10 + 36 = -4*x. Let d be 1\/(-3) + 20\/l. Let u(s) = s**2 + s - 3. Is u(d) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/7)*j*j**1)\/(j*(j\/j**(-1\/2)*j)\/j*((j**(-1)\/j)\/j)\/j)*(j\/j**4*(j**0\/j)\/j)\/(j**4*j\/(j*j\/(j**(2\/3)\/j*j*j))*j) assuming j is positive.\nAnswer: j**(-247\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3132 divided by -9946\nAnswer: -1566\/4973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 1 = -3*c - 19*m - 5 - 2, 7 = 4*c - 3*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -7) + -1 + 5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 + 48*p + 2. Let y be c(12). Solve -y*a + 5*s - 5 = -25, 4*a = 5*s + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 31721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42068718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 28*x + 10. Let k(m) = -28*m - 12. Let g(i) = 5*k(i) + 6*l(i). Let c(d) = d. What is g(c(v))?\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 24. Let i be 4 - (6\/(-2) + 3). Suppose 2*x - 43 = -3*q, -2*x = i*q + 24 - 64. What is the remainder when x is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -115?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -19083.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcbccchchchhm. Give prob of picking 2 h, 1 m, and 1 b.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/(3\/18). Let n(o) = o**2 - 4. Let z be n(q). Suppose 0 = z*g - 4*m - 5, m = 4*g - 3*m - 4. Put 0, -4, g in increasing order.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 20\/156*(-60 - 15).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2976425?\nAnswer: 5, 119057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:11 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7282716982 + 7282717022.99999979. Let r = -41.89 + 0.89. Let o = k + r. What is o rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84.68 - -85. Let d = k + -0.323. What is d rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040223 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 6. Let j be f(5). Let p = -436 + 433. Calculate the common denominator of 16*(j + p + 3) and -37\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 15 = 27*k. Which is the fourth biggest value? (a) -5 (b) 88 (c) k (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30)\/4*((-7614)\/10 - -11)?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -452 (base 10) to base 3\nAnswer: -121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00135547 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oroo when four letters picked without replacement from rorooporpr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 155, 472, 1093, 2120, 3655, 5800?\nAnswer: 8657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 + 287\/4. Let w = -3 - -7. Find the common denominator of n and (33\/w)\/((-18)\/14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-1) - (-3 - -6). Let h be (-40)\/6 - 3\/9. Let a = 11 + h. Solve 0 = -a*z - 0*z + l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 535 - 1071\/2. What is the biggest value in 9, -1\/7, u, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 - -256.11. Let n = t - 2. Let w = -0.19 - n. What is the nearest to -1 in 0.5, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5522348 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3981 - 0.0619. Let g = -0.26 - o. What is the third smallest value in 2, g, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1984*-3.49\nAnswer: -6924.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4 - 1316*f**3 - 2668*f**2 + 6596*f + 7944 = 0. What is f?\nAnswer: -3, -1, 2, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 41. Let y(u) = 2*u - 40. Calculate 5*a(w) + 4*y(w).\nAnswer: -2*w + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8055 - 8055. Let u(r) be the third derivative of -12*r**2 + v + 10\/9*r**3 + 0*r + 1\/18*r**5 + 3\/4*r**4. Factor u(d).\nAnswer: 2*(d + 5)*(5*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -109*m**3\/6 - 84*m. Let s(i) = -2*i. Give s(t(c)).\nAnswer: 218*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 3 + 3*d - 3 + 2 + 0 - d**3. Let y be l(-4). Suppose -j + 24 + 163 = y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:12 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 6*a**5\/23 + 50*a**4\/23 + 148*a**3\/23 + 188*a**2\/23 + 102*a\/23 + 18\/23 = 0.\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkkk when four letters picked without replacement from zzzzzzkkzzkz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, 1, -3 in decreasing order.\nAnswer: 5, 1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6629167?\nAnswer: -6629167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(432))\/(sqrt(9) - (2*sqrt(225) + sqrt(225) - sqrt(225))) - -1*sqrt(15)\/(-3*-3*sqrt(5)))**2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5684.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(3087) - sqrt(3087)*-1))*-5 - (sqrt(49) + (-1*sqrt(343))\/sqrt(7) + sqrt(49))\/((1*sqrt(70))\/sqrt(10)))**2.\nAnswer: 2110*sqrt(7) + 311672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 188685103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 67*h. Let s(y) = -3*y**2. Give s(j(z)).\nAnswer: -13467*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 16 + (24 + -39 - -94)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 1082 + 7592*c - 7592*c - 215.\nAnswer: -c**3 + 867","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (sqrt(24) - -1*sqrt(2904)))\/(sqrt(64)\/sqrt(2)))**2.\nAnswer: 363\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**4\/4 + 9*o**3\/2 + 18*o**2. Let n(g) = -g + 4. Give 27*n(y) - 4*v(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216237 is divided by 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2 + 3\/2). Suppose c*o = -4*f - 3 - 1, f = -5. Let q be 1*3*o\/6. Solve -y - q*y = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 75. Let g be 1152\/280 + (-2)\/5. Let n = g + -92\/21. What is the nearest to n in z, -1\/10, 3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7505 divided by -1501?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 89857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -31, -2, 1 in increasing order.\nAnswer: -31, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/11 (b) -16\/9 (c) -2\/19 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*1*sqrt(162)*-1 - (((1*sqrt(162) + -5 - sqrt(162)) + sqrt(162) - sqrt(162)) + sqrt(162))*3))**2.\nAnswer: 3240*sqrt(2) + 6732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -1\/20*p**5 + 0 - 1\/6*p**3 - 1\/2*p**2 + 1\/12*p**4 + p. Let j(x) = 4*x**3 - 3*x**2 + 2*x + 4. Calculate 6*b(o) + 2*j(o).\nAnswer: 2*o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6781, -6783, -6785, -6787, -6789, -6791?\n\"Answer: -2*y - 6779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32326\/3 or 10776?\nAnswer: 10776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 3*l + 9. Let t be n(-3). Which is the smallest value? (a) 1.6 (b) t (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = -24. Is 7 a factor of 968\/d - (5\/(-3) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1345*a - 1890 - 720 = 1258*a for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3*sqrt(76) - sqrt(76))\/sqrt(4) - (sqrt(2299) + 3)).\nAnswer: -9*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 + 2\/(-30). Let u = 245 - 245.1. What is the closest to u in o, -5, 16?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 8*s**2 + 10*s + 5. Give v(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 45 - 33 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 147909000 to the nearest 1000000.\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -80911 and 5676.17.\nAnswer: -75234.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbe when three letters picked without replacement from {i: 2, e: 2, b: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 1, -52112, 17, 0, 9 in increasing order.\nAnswer: -52112, -5, -2, 0, 1, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2921, 2918, 2915, 2912, 2909?\n\"Answer: -3*d + 2924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-24)\/(-18))*(1729\/(-39))\/(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17731060 divided by -8865530.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 26 - 41. Suppose 16*c + p = -29. Does -9\/7 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(((-2)\/5)\/(-1))\/((-71)\/71).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqqqqxnqqqqqqxq. What is prob of picking 1 q and 1 n?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-7) - (-22 + 18)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*r - 828*r - 90 = -409*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1142867 and 2413906?\nAnswer: 258287942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w = -60 - 332. Let u(f) = -13*f**3 - 7*f**2 - 3*f - 7. Let b(j) = 9*j**3 + 5*j**2 + 2*j + 5. Calculate w*b(v) - 5*u(v).\nAnswer: 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - s + 223 + 158, s = -2*f + 191. Let u be 18\/1 - (0 - -3). Let h be 279\/u + 8\/20. Calculate the greatest common factor of h and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from ggggkfkkgfggkgkkkk.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m**3\/5 + 12318*m**2\/5 - 1641*m - 4104\/5 = 0. Calculate m.\nAnswer: -1\/3, 1, 1368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -8*f + 248 - 242, -d + 5*f - 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*k + 24 + 245 + 100 + 111 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 7 = 33*k + x, 0 = -2*k + 4*x + 16. What is the closest to 0 in 5\/2, 1\/5, k, -2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 13 + 38 + 245*y in the form g*y + d and give g.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59783 = -2*f - d + 73999, -133766 = -2*f + 3*d. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -740, -1487, -2238, -2993, -3752?\n\"Answer: -2*b**2 - 741*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23374 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58451520559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*r**3 + 96\/5 - 26\/5*r**2 + 2\/5*r**4 - 16*r.\nAnswer: 2*(r - 3)*(r - 1)*(r + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 615653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 + 3?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 7*c - 3. Suppose -4*d - 2*v = d + 26, 8 = -3*d - 5*v. Let z be y(d). Suppose -5*h + 4 = -z*h. Solve h*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.3 + 27. Let v = -29 - -31.2. Let u = v + q. What is the third smallest value in 1, 0.6, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 13*g - 16. Suppose -8 = -x - g*x - 4*a, -3*x + 6 = 3*a. Which is smaller: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.2, 52\/10297, 4?\nAnswer: 52\/10297","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*y - 32, -k = -3*y - 8 - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a + 3. Let t(k) = -2*k**2 - 2*k + 5. Let u be (-6 + 2)\/(8\/(-36)). Let c be u\/(-5) + 30\/(-75). Give c*t(m) + 7*j(m).\nAnswer: m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(((-78)\/208)\/((-21)\/56))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/5870 and 37\/28763?\nAnswer: 287630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = 3*q, 60*q - 63*q = 5*g - 26. What is the remainder when 325 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umuuum. Give prob of sequence uu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2720066*o + 8197670 wrt o.\nAnswer: -2720066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z + 22*z + 31*z - 55*z + 9*z - 39*z + 16*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2299) + -1 + ((sqrt(2299) + 1)*6)**2 + 3 + (sqrt(76)*2)**2*4.\nAnswer: 814*sqrt(19) + 84018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -158 - -161. Solve 9 = -v*m + r, 4*m = -r - 0 - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 0 + 0 + 4 - -27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3884\/341 - -399\/62. Find the common denominator of (-6)\/18 + (-58)\/132 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*l - 25*l - 25*l)*(6*l - 5*l + 0*l) to the form u + x*l + i*l**2 and give i.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3482*j + 2446*j - 2058*j.\nAnswer: 3870*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 6. Calculate l(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18742433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2016 = -20*p + 14*p. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 494279.7752356\nAnswer: -494300.7752356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - d = 27, -3*f + 17 = 2*f + 4*d. Suppose 0 = 4*u, 0 = m - f*u + 2 - 11. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*f - 100*f = 5*u + 20, 4*u + 10 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-3)*(180\/84)\/(-5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 1471\/33431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 71130 = 16530. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 7*g + 8. Let n be m(-6). Suppose -c = -2*b + 5*b - 13, -2*c = -2*b - 2. Let f be -13 - (b - 6)*3. Sort f, 5, n, 3 in descending order.\nAnswer: 5, 3, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/10 (b) -4 (c) -0.2 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 4*s = 3*h - 12, 2*s + 14 = -3*h. Sort -3\/4, h, -0.2 in decreasing order.\nAnswer: -0.2, -3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o**2 - 1. Let p = -7958 - -7955. Let v(l) = l**3 - 3*l**2 + l - 4. Let n = -2 - -3. Calculate n*v(b) + p*t(b).\nAnswer: -2*b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -0.055, 1 in decreasing order.\nAnswer: 53, 1, -0.055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138 - -83. Let x = s - -77. What is the least common multiple of x and ((-28)\/(-10))\/((-2)\/(-10))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4 - 2. Suppose c*y - 5 = 19. Solve 7 = -5*p - y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 879*g - 4245*g - 586*g + g**2 + (-2 + 0 + 0)*(2*g**2 - 3*g**2 - g**2) - g**2 + 4*g**2 - 2*g**2.\nAnswer: 6*g**2 - 3952*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -121, -103, -69, -13, 71, 189, 347, 551?\n\"Answer: k**3 + 2*k**2 + 5*k - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-1*sqrt(170))\/sqrt(5))\/(sqrt(18)\/(sqrt(9)*1)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/12*(-2)\/3. What is the third smallest value in s, -2, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 60.983. Round t to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2289317, -4578538, -6867757, -9156974, -11446189, -13735402, -16024613?\n\"Answer: t**2 - 2289224*t - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 341469211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2762840.\nAnswer: 2, 5, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**2*h - 2*a*h**2 - 57*a - 299*h**2 + 2 wrt a?\nAnswer: 2*a*h - 2*h**2 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -18 - (-2)\/(-2). Let s = 15 + v. Suppose -4*r + 6 = -5*q, 5*q + 5 = -4*r + s. Solve -r*a + 21 = -0*y + 3*y, y = -2*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3732688 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00210442 to 5 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 24*k**3 + 27*k**2.\nAnswer: -3*k**2*(k - 9)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0 + 0 - 4*x + 0*x. Let r(f) = f**2. What is r(h(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8276 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/1035 and 56\/69.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.91913 millimeters to meters.\nAnswer: 0.09091913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/20 and 1\/(-7) - 1868\/(-448)*-8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -355561 or 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(-10)\/110)\/((-4)\/1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -63*s**2 - 2*s + 1. What is g(1)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/(x*x\/x**(-5\/2)*x*x*x))**(-1\/19) assuming x is positive.\nAnswer: x**(13\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008470739 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25169363*d**2 + 147546400*d?\nAnswer: -50338726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s - 4. Suppose 3*q - 9 = 6*q. Let g be v(q). Let y = g + -27. Solve y*k - 2*m + 8 = 0, 3*k + 2*m - 4 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/sqrt(10) - sqrt(30))\/sqrt(3))\/(sqrt(6)\/(-3*sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(140))\/sqrt(7) - (-1 + sqrt(180) + sqrt(180))**2) + -1 - 3*(-2 + -6*(sqrt(2000)*-2 + sqrt(2000))).\nAnswer: -330*sqrt(5) - 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tooootoohhhho. Give prob of sequence hto.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q. What is the units digit of b(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 3\/(-3) - -91. Suppose -28*r = -21*r - 35. Suppose 0 = r*a + 4*b - x, -a + 3*b = a - 31. Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c301 (base 14) to base 11.\nAnswer: -759a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -2021013133?\nAnswer: 2021013203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 12) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 3)*(2 + 3 - 3) + 11 + 9 - 3)*(0*t**2 + 4*t + 2*t**2 + 0*t + 1).\nAnswer: 26*t**2 + 52*t + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -h + 9, -19 = p - h - 4*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 1245, 4168, 9861, 19248, 33253?\nAnswer: 52800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/4 + 37635*d**2\/4 - 2780883*d\/4 + 51421009\/4 = 0. Calculate d.\nAnswer: 37, 37561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**8*g)\/g*g\/g**(2\/3))\/(g**(-3\/2)*g*g**(-5)))**(-2\/29) assuming g is positive.\nAnswer: g**(-83\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*d**2 + 174*d**2 - 9583*d**3 + 233*d**2 - 2.\nAnswer: -9583*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 302082988 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 12) in base 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5091*o - 7322*o + 10128*o.\nAnswer: -2285*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -14. Let d = 3 + r. Suppose 0 = -3*k - 2*k + 15. Solve d*v = -i - v, -k*i = 5*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 2*q**2 + q - 1. Let s = -5 + 12. Let n = 4 - s. Give d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j + 79 - 39 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -313?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 927 - -1083. Which is the biggest value? (a) d (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3011 - 6192.6989. Let n = y + 6193.96629. Let x = n + 0.033. Round x to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*d - 92784, 2*o - 77986 - 45714 = -4*d. What is the ten thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 30 = c. Suppose -c = o - 4*k, -4*k + 6 = o - k. Let z(v) = -v + 4. Calculate z(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from eggdaddvadgacca.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*h = -5*o - 3, -3*o + h - 8 = 0. Sort 5, -20, o in decreasing order.\nAnswer: 5, o, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729.7318 millennia to years.\nAnswer: 729731.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 1.7. Let h = 2.8 + t. Let z = -2.9 + h. Which is the smallest value? (a) 1 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 2*h - 14. Let g(l) = l**3 - 18*l**2 + 16*l + 8. Let v be (-17*2)\/2*-1. Let m be g(v). What are the prime factors of z(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.7347358 rounded to zero dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 22*j**2 + 51*j - 71. What is n(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -39152 (base 13) to base 16\nAnswer: -19cdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5568 divided by -6\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24374038 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 10 (b) 12173 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -86 (b) -1 (c) 4 (d) 2.8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*135.4951\nAnswer: 5.419804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22350000 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 241461129, 482922256, 724383383?\n\"Answer: 241461127*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 102772 - -87?\nAnswer: 102859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2746544028 and -15388?\nAnswer: 2746528640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 7*b + 4. Let r = 1 - 7. Let t be a(r). Let l(p) = -3*p + p**2 + 6*p - 2 + 3. Determine l(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2852 is divided by 494?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4480751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2)\/((-634)\/(-1268)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001289351289 to six dps.\nAnswer: 0.001289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*j - 46*j + 41*j)*((-3 + 1 + 1)*(0 + 2 - 3) + 0 + 4 - 2).\nAnswer: -243*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -15\/2, 1\/4, -1, -0.4 in decreasing order.\nAnswer: 1\/4, 0.1, -0.4, -1, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/3 - 10018*n**4\/7 - 9304870*n**3\/21 - 15875810*n**2\/21 - 188436*n + 2643824\/21 = 0. Calculate n.\nAnswer: -1772, -373, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**3\/11 + 3868*q**2\/11 - 102230*q\/11 - 607600\/11 = 0?\nAnswer: -1960, -5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/13, 1, -1708 in descending order.\nAnswer: 1, 0, -2\/13, -1708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*n - 4 - 17, 0 = 2*n + 4. Let x be 0*(y - (96\/18)\/1). Which is the second biggest value? (a) -2 (b) x (c) -3\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abaajbbqbttjabjbtb. Give prob of sequence ajbj.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Solve -c*a = f - 4, -3*a - 5 = -3*f - 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35+184.411593\nAnswer: 149.411593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9375 and 582090.\nAnswer: 363806250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 6*k - 1. Let q(a) = -5*a + 1. Give -4*g(t) - 5*q(t).\nAnswer: 4*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 9*v - 7. Let k be q(8). Let o be 2 + 17 + k + 0. Let t = -13 + o. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8336*l - 16845*l + 12808*l.\nAnswer: 4299*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 6 = 3*b - 24 + 162 - 24, 2*b + 32 = 4*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 145*o - 775. What is p(6)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 3853 = -1513. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243.85 smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29225, -58451, -87677, -116903, -146129?\n\"Answer: -29226*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - (-18 - 35)) + -25.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (3\/(-1))\/3. Suppose 4*n - h = -15, k*n + 5*h + 24 + 11 = 0. Which is the closest to -2\/7? (a) 4\/9 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - x + 580 = -0*g, 5*g - 5*x - 960 = 0. What are the prime factors of g?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 106, -704 in descending order.\nAnswer: 106, -2, -704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -4*q - 9, -3*s - s = -4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 + -159. What is the first derivative of 48*m**3 + 76 + 538*m**2 - 537*m**2 - 148*m**n wrt m?\nAnswer: -300*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 14 = u, -5*r + 16*u - 28 = 19*u. What is the second smallest value in -3, 38.9, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 less than -385.140042?\nAnswer: -484.140042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 429813.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1739959, -1740012, -1740065, -1740118, -1740171?\nAnswer: -1740224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 12, -1, 1 in decreasing order.\nAnswer: 12, 1, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 - 2*m**3 + 12*m**2 - m**3 - m**3 to the form u*m**3 + g*m + s + q*m**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 20. Suppose -13 = -i*b + 3. Suppose 3*q + 5*k + 37 = 0, -3*q - 9 = -2*q + k. Sort -3, b, q in ascending order.\nAnswer: q, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000069371 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/50 and 67\/19800.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3987 divided by 5753\nAnswer: -3987\/5753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 762\/150 + 32\/(-400)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -9*i**4\/4 - 5*i**3\/3 - 39*i**2 - i - 217. What is the second derivative of w(x) wrt x?\nAnswer: -54*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30990 and 72310.\nAnswer: 216930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unn when three letters picked without replacement from {y: 1, h: 3, n: 5, s: 7, u: 2}.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231*(7688\/1302)\/62*(-9)\/(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a*a*a*a**(-2\/35))**(-16) assuming a is positive.\nAnswer: a**(3392\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36351 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -533, -603, -723, -899, -1137?\nAnswer: -1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584867 rounded to the nearest one thousand?\nAnswer: 4585000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 717, 1152, 1321, 1230, 885?\n\"Answer: x**3 - 139*x**2 + 845*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((156\/(-18))\/(-13))\/1*9\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 16 = -m, 4 = h + 5*m. Suppose 0*a - 2*a = -h. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 2 - 2 - 2 + 0 - 14*w + 20*w + (2 - 2 - 1)*(-2 + 2 + 2*w) - 1 - w + 1.\nAnswer: 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (4 - -6)) + -7507. What is the tens digit of u\/(-78) + 2\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**3 - 120*f**2 + f + 307. Let k be w(-17). Suppose -3*n - 2*n - 5 = 0. Which is the nearest to 0.3? (a) 2 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2538 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*l + l + 107 = 0, -y - 56 = 5*l. Let o = 51 + y. Let c be (2\/6)\/(1\/6). Solve -b - 3*h = 5, b + c*h + o + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -2, 0.3, -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -43. Suppose 0 = 2*c - 17 - 3. What is the smallest common multiple of c and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(3) + 4)**2 - (sqrt(3) - sqrt(12)\/sqrt(100))) + -2 + (-6*sqrt(75)*2)**2.\nAnswer: 156*sqrt(3)\/5 + 10862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*a - 21 + 20 + 25*a as h*a + s and give h.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-22)\/(-10) + (-30)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*j*u - b**3*u**3 - 5*b**2*j - 27800*b*u**2 + j*u**2 + 1412*j*u wrt u?\nAnswer: -6*b**3*u - 55600*b + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -1.79. Let f = -0.61 - p. Which is the closest to 1? (a) -5 (b) f (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 9*m**2 + 8*m + 12. Let n be z(-8). Let j be 7*(-4)\/n*-36. Let v = j - 49. What is the highest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172711+5180540\nAnswer: 5007829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 = -8*s. Differentiate -1 - 7 + b**3 + s + 3 wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 148)*(0\/2 + -1) is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 13. Let k(o) = 5 - 9 + 6*o - 5 - 3 + 8*o**2 + 20 + o**3. What is the tens digit of k(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1803 = -11*x + 13*x + 3*n, -4*x + 4*n - 3636 = 0. Let i = -2716\/3 - x. What is the closest to 1 in -14\/3, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15443 (base 7) to base 16.\nAnswer: -10f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 20. Suppose 22*l - 109 - 133 = 0. Find the second derivative of z*k - l*k - 22*k**2 - 25*k wrt k.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457.8819 nanoseconds in seconds?\nAnswer: 0.0000004578819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-125 - (-30)\/6)*-3 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 2 in ascending order.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-188)\/(-282))\/((-2)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12*d**2 - 184*d + 3. Let p(y) = -25*y**2 - 368*y + 5. Let c(o) = 3*p(o) - 5*z(o). What is the second derivative of c(i) wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 28 = -2*n. Suppose r = 2*m, 4*m + 3*r = -2*r + n. Let h(z) = -2*z**3 + 3*z**2 - z + 2. Give h(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11309?\nAnswer: 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1171743?\nAnswer: 1\/1171743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5549 - 3657. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131456 divided by -2?\nAnswer: -65728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 61.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 6*f + 6. Let p be j(-6). Let a(x) be the first derivative of 0*x - 2\/5*x**2 - 2\/3*x**3 - 3\/10*x**4 - 3 + 1\/15*x**p + 2\/25*x**5. Factor a(v).\nAnswer: 2*v*(v - 2)*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090297 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1426 and -5.\nAnswer: 7130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 236*b - 3460. Give a(15).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 53537.46 micrometers?\nAnswer: 53537460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, s: 5, l: 9, i: 1, q: 1}. What is prob of picking 1 q, 1 i, 1 s, and 1 l?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 497, 746?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 26. Let w be o(12). Let j = w - 35. Suppose -73 = -j*m - u, 4*m - 131 = -5*u - 30. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1\/f)**(5\/11))**(-29)*(f**1)**(1\/45)*f\/((f*f\/f**(2\/11))\/f)*f*f**(-1)\/f assuming f is positive.\nAnswer: f**(-629\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -59. Suppose b - 2 = -3*d + 5, -b = d - 3. What is the remainder when n is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/11? (a) 160 (b) 3 (c) 330\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 1:06 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, -3, -8187 in descending order.\nAnswer: 208, -3, -8187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -223*l**5\/60 - 33*l**4\/2 + 100*l**2 + 2. Find the second derivative of s(d) wrt d.\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 - 40*n + 64 = 0. What is n?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.926 (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68501 + -114054151\/1665. Calculate the common denominator of 123\/740 and t.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/3779832 and -47\/15591807.\nAnswer: 124734456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 35*l - 31. Let f be j(36). Solve 15 = -f*m + 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-119\nAnswer: -130.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k + 4*a + 16 = 0, 2*k - 2 = -4*a. Suppose -k = 2*y - 37. Calculate the remainder when 33 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319296 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: Is 97453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -19*m + 4. Let d(w) = -18*w + 3. Let k(s) = 6*d(s) - 5*h(s). Let f be k(-2). Suppose 2*p - f = 6*p. Which is the nearest to p? (a) 0 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35020111 divided by 15407?\nAnswer: 2273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*q - 1296 + 8760. Round q to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3921631 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5204.89 + -127.11. Let u = n + 5330.8635. Round u to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20423646, -20423622, -20423598, -20423574, -20423550, -20423526?\nAnswer: -20423502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*u + 5*c, u + 2*c - 2 = 4*c. Suppose -2*i = -u*i - 2. Does -2 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -448, -1065, -1682, -2299, -2916?\n\"Answer: -617*t + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 25326*h - 13710. Let c(y) = -1333*y + 726. Let o(b) = -39*c(b) - 2*u(b). Find the first derivative of o(r) wrt r.\nAnswer: 1335","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 25 = -5*c, -2*p + 0*p - 2*c - 10 = 0. Suppose 6*f + 0*f - 30 = p. Put f, 4, 0.3, 11 in ascending order.\nAnswer: 0.3, 4, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -308 - 75*g**2 + 2*g**3 + 35520*g - 73*g**2 - 35978*g = 0.\nAnswer: -2, -1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5466 - 2534. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b - 17 = -t, 4*t + 12 = -4*b. Suppose -l = l - 2*z - 4, 0 = -2*l + z + 5. Solve 0*q - 4\/3*q**l + 2\/3 - t*q**2 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 290\nAnswer: -289.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 177*a + 2017. Let u be b(-132). Round u to the nearest one hundred.\nAnswer: -38800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -666.99414 + 667. What is v rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6*p - 25*p + 9*p - 4.\nAnswer: -22*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -64 - 58 + 122 + 27*i**3 - 2*i. Let n(u) = -2*u**3 - u**2 + u. Let f(w) = 5*n(w) - z(w). Find the third derivative of f(a) wrt a.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12*t - 35 = 0. Suppose -k + 7 = -t*z, -4*z - 18 = k - 52. Suppose 21*i - k*i = -4. Solve -5 = -i*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8478, -8484, -8502, -8538, -8598?\n\"Answer: -r**3 + r - 8478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.0154 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, k: 2, f: 2, g: 6, s: 1}. What is prob of sequence rgf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w - 6*w + 2*w)*(-2 + 2 + 2) + 13 - 3 - 8 - w)*(-4*w - 7*w + 4*w + 2*w - 1 + 1 + (2 - 1 + 0)*(-1 + 1 + w) - 4 + 4 + 2*w - 2 + 2 - w).\nAnswer: 21*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 43 + 39. Let y(d) = d - 2. Let k(i) = 4*i - 7. Let v(w) = r*k(w) - 9*y(w). What is the first derivative of v(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1632880 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -125*s + 15*s**4 - s**5 + 2 + 150*s**2 - 230\/3*s**3. Determine t so that c(t) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1892344*c + 15138746. Give z(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 28*y**3 + y - 10*y + 1 + 7*y as n + w*y**2 + i*y + t*y**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5825 + 5833. Solve 3*s + 29 = 4*s - 5*o, -7*s - 4*o + r = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 + -43. Suppose 3*d - d - w = 0. Let k = d - 28. Calculate the highest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + x**2 + 2*x + 1. Let u be y(-1). Let s be 4\/(6 + u) - 4. Is s\/8 - 15603\/(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 = 0, 2*b - 5*a - 117 - 62 = 0. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*b + 60*b + 102*b + 73*b)*(-4 - 28 - 22).\nAnswer: -15282*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-8)\/(-2 - 2))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q. Let d be (-2)\/(3\/(45\/6)). Let t be -3*1*d\/(-5). Let s(m) = 2*m. Let b(o) = 7*o - 3. Let n be b(1). What is n*s(w) + t*k(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 3*y**2 + y + 2. Let f = -3 - -9. Suppose -2*q - 2*i = 14, 14 - f = -2*i. Let w be g(q). Let j(l) = -3*l**3 + 2*l**2 + l. Give j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:21 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 19143*m - 666330.\nAnswer: -3*(m + 35)*(m + 6346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-222)\/(-1221))\/((-4)\/(-6))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -67581, 9 in increasing order.\nAnswer: -67581, -0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 5*u. Calculate a(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -1.08.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 12:26 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 9*w**4 - 291*w**3 + 369*w**2 + 99*w - 186 = 0.\nAnswer: -2\/3, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -697\/396 - -9\/44. What is the common denominator of 35\/39 and u?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z. Let b(s) = -13*s**2 + 3*s + 3. Let h(l) = 2 + l**2 - 3 - 82*l + 81*l. Let a(t) = -b(t) - 3*h(t). Give w(a(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 55. Let y = -17.9913 + m. Round y to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**3 - 232529995*t**2 = 0?\nAnswer: -46505999, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 1 - 1)*(-8 + 14 + 5)*(6*z + 6*z - 3*z).\nAnswer: -99*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2785.687 + -2793. Let p = u - -0.013. Let i = p - -7. Which is the nearest to i? (a) 1 (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 5*r + 7. Let u be -9 + 8 + 16\/1. Let o be u\/(-2)*4\/6. Is w(o) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196288 and 7?\nAnswer: 1374016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 351\/445 + (-20)\/25. Let f = -453 + 453.5. Sort a, 4, -1\/3, f in decreasing order.\nAnswer: 4, f, a, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 42\/55 (b) -5 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 47*c - 13. Let l be y(5). Suppose 3*f = 2*s + 330 + 364, -l = -f + 3*s. What is the remainder when f is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 40*c + 22 - 8)*(-1 - 3 + 1)*(-5*c**2 + 4*c**2 + 7*c**2)*(-2*c + c + 0*c) as k*c**4 + s*c + f*c**2 + m*c**3 + h and give k.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480695 and 31037.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1325168*b**2 - 1325187*b**2 + 2 - 2.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2679585241?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -1b776?\nAnswer: -1b777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 104*s - 581. Calculate l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 20. What is the closest to t in 3, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4168 = 316*h + 29*h - 5492 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {w: 8, q: 2, s: 2, u: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53186 (base 9) to base 7.\nAnswer: 204324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -5013\nAnswer: -5013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7834*r + 38863. Determine w(-5).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6328 + -10. Let q = i - 3155. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67221244*g**2*t**3 - 7*g**2*t**2 + 2*g**2 - g*t**2 + g + t**2 + 206988*t wrt t.\nAnswer: -403327464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -383 - -383. Calculate the lowest common multiple of 5\/5 + (i\/4)\/5 and 590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2)*-5 - (sqrt(2) - -2*sqrt(2))*5)**2 - ((-1*sqrt(8))\/sqrt(4) - (sqrt(72) + 5)).\nAnswer: 7*sqrt(2) + 1255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59)\/68 + (-20)\/(240\/(-9)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(190)*3 - sqrt(190)*-2*-6)\/(sqrt(40)\/((sqrt(24) + (sqrt(24) - (sqrt(24) + sqrt(48)\/sqrt(2) - sqrt(24))))\/sqrt(6))))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 996970 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwi. Give prob of picking 1 w and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167 + -181. Is (-5187)\/v + (-3)\/24*-4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16*(-1)\/2 - -8. Which is bigger: -8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.4 + 4.78. Let u = c - -0.22. What is u rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 4*a - 3. Let x(k) = -6*k**2 - 9*k - 2*k**2 + 6*k**2 - k**2 - 7 + 0*k. What is 7*l(i) - 3*x(i)?\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4211*o - 18 = -2*i - 4216*o, -4*i - 5*o + 46 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269465.\nAnswer: 3, 5, 84631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*i**3 + 5 - 100*i**3 - 1 - 4.\nAnswer: 246*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.125 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 14*z**4 + 12609*z**3\/4 - 5439*z**2 + 5461*z\/4 + 1815\/2 = 0.\nAnswer: -1815\/8, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:03 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, -0.4, 2\/5 in descending order.\nAnswer: 2\/5, -0.2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 - -2*(-1396240)\/(-32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -48, 131760, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 5:06 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 10*a - 46 = 7*q - q, 49*a = -5*q - 632 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*t - 4*t - 31 = 0, 55 = 5*g + 5*t. What is the least common multiple of g and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t**4 - 2*t**3 + 49*t**2 + 3 + 14*t**2 - 62*t**2 as u*t**4 + z*t + s*t**3 + r + l*t**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2\/7, 53.\nAnswer: -9, 2\/7, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 12:29 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9462 and 498.\nAnswer: 9462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -80274, -160547, -240820, -321093?\n\"Answer: -80273*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((-30 - -80)*3).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003552397 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + x. Let h be a(-1). Let j be (-3 - -3)*1\/h. Suppose 5*y - m = 3*y + 9805, 5*y - 4*m - 24520 = j. Round y to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 16113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*t - 37 - 16, -4*t = -4*o - 76. Suppose 5*z - 2*r - t = 0, -4 = z + 2*r - 2. Let u be ((-1 - -2)\/(-1))\/1. Sort u, z, -2\/9.\nAnswer: u, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -17. Let h(u) = 2*u**2 - u - 4. Let g be h(p). Is g <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -84*c. Let q(f) = 133*f - 203*f + 71*f. Give q(s(r)).\nAnswer: -84*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*y = -4*m + 126*y + 112, -5*y = -13 - 7 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139287128?\nAnswer: 2, 307, 56713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 10*s - 12. Is 4 a factor of y(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1454410, 1454396, 1454384, 1454374?\nAnswer: 1454366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 = -3*w - 4*l + 192, -228 = -w + l. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**2 - 654. Let s(k) = 16630*k**2 - 8316*k**2 - 8316*k**2. Calculate l(s(n)).\nAnswer: -32*n**4 - 654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/30173136 and 103\/3051216?\nAnswer: 271558224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1172*j**2 - 690*j**2 - j + j)*(-2*j**2 - j**2 + 4*j**2) in the form k + s*j**2 + q*j**3 + f*j + o*j**4 and give o.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 57 = -3*k - 67, -k - 4*n + 8 = 0. Suppose -q + 4*t = -803, 30*t - 34*t = k. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959549 minus -3629280?\nAnswer: 5588829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2)\/(n*n\/(n\/n**6)*n*n))\/((n\/n**(-7))\/(n**1\/n)))\/((n**(-2))**8)**(-6\/29) assuming n is positive.\nAnswer: n**(-1149\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 10. Let w be t(10). Suppose 1888 = -w*s - 3*s + 5*x, -2*s = -x + 1268. Find the common denominator of 71\/18 and (2\/(-174))\/(3 - (-1900)\/s).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -14*x + 54. Let v(f) = 12*f + 81 - 24*f - 9*f. Let d(n) = 5*v(n) - 7*y(n). Find the first derivative of d(j) wrt j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -97931171?\nAnswer: -391724684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33151, 265201, 895079, 2121709, 4144015, 7160921, 11371351, 16974229?\nAnswer: 24168479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7687227 to the nearest ten thousand.\nAnswer: 7690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 2. Give a(18).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + -119. Let n = -188 - w. What is the remainder when 83 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 24*h + 4*h**2 - 51*h + 75*h. Let z(x) = -47*x - 2. What is z(w(j))?\nAnswer: -141*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 + 3 = 0, -4*l + 5*k + 138 = 0. Let m = l - 38. Let s be 3\/(-2) - 3\/m. Let j(d) = -d**2 + 1. Give j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*f - 20, 2*s - 30*f + 26*f = -30. Let u be (3\/2)\/((-3)\/4). Let c be ((-1)\/1)\/((-1)\/u). Sort 0, s, c.\nAnswer: s, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 2. Let l = 245 - 231. Suppose -15 = a - 5*h, 2*a + 16 = l*h - 11*h. Determine t(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -376\/1173 - -14\/69. Let z = 8 - 8.3. Which is the closest to -1\/4? (a) i (b) 0.03 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12 and (-104)\/(-18) - (-6)\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 - 50. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 641 = -4*c, 0 = 3*t + 2*t + 4*c + 1071. Let h = t + 330. Suppose -2*w = 3*w - h. Solve 4*s + 2*x - w = -x, s + 8 = 2*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 8*z**2 - 2*z - 11. Let m be a(-8). Suppose 0*r - 65 = -m*r. Solve 2 = 3*y - r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:55 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 160*m - 24 - 158*m.\nAnswer: 2*m - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-24))**23*k**(-6\/17)*k\/(k**(-28)*k) assuming k is positive.\nAnswer: k**(-8914\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:06 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2242*z**4 - 626*z**3 + 142*z**2 - 3546*z?\nAnswer: 53808*z - 3756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3118 (base 9) to base 2.\nAnswer: 100011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 8:17 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94839017?\nAnswer: 7, 13, 1042187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101356958 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 284.\nAnswer: -3\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {v: 2, z: 2, m: 2, u: 1, q: 1, i: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 4*t. Suppose 3*f = 2*j + 4, 6*f - 2*f - 2*j = 8. Let h(a) = 3*a. Give f*h(m) + 3*q(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 342\/(-24) - 2\/(-8). Let q be 1\/(-5) + f\/(420\/51899994). What is q rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 5:11 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6560 and 1513392.\nAnswer: 15133920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 373 - 876894*z**2 - 2105 + 875391*z**2 with respect to z.\nAnswer: -3006*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -6.29, 6\/133607?\nAnswer: 6\/133607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 636072 and 408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00105357144 rounded to 7 decimal places?\nAnswer: 0.0010536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3 = 4047*y - 4045*y, -2*l + 2 = 2*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {p: 7, a: 5, y: 6, d: 1}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15097 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -15*j**3 + 6*j**2 - 9*j + 2. What is x(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -9, -40, -93, -174, -289?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + 37. Let i(k) = 23*k**2 + k. Let x be i(-1). What is the greatest common factor of x and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1062 + 26337?\nAnswer: 25275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4}. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*h - 16*h - 780 = 928 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 14) to base 16.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*p - 890 = 0, 5*m - 9*p = -7*p + 1090. Calculate the remainder when m is divided by 115.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130808399*j*p**3 - 31*j*p + 334324*j - 2*p**2 wrt p?\nAnswer: 784850394*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106 + 166 + 129)*(44 - 116 + 38 - 2*x).\nAnswer: -802*x - 13634","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*f**2 + 2 - 4*f + 5*f**2 - 59*f**2 + 2*f**3 to the form p*f**3 + n*f + x*f**2 + z and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 2*w**2 + w + 2. Let l be z(-3). Let o = -4 - l. What are the prime factors of (7 - 0)*o\/(-28)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(243) + -1) - sqrt(243) - sqrt(243)*-3*2) + 3)*-6)**2.\nAnswer: -5832*sqrt(3) + 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1617? (a) -13\/2 (b) 27 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:26 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3818 = -3*b + 4*g, -2*g + 2869 = -3*b - 951. Let n = -228\/163 + 1660675\/1304. Let m = b + n. Calculate the common denominator of m and 95\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 12 = 47. Solve -17 = 5*l - z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356 = 119*c + 465*c - 4900 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10011001000010?\nAnswer: -10011001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-308)\/(-63) - 5). Is 16 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 3)*-2 + 0 - -6. Suppose -14*j + 190 = -i*j. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -242 and -2591340872709.\nAnswer: -2591340872951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54245 divided by 95?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5203\/42 + -740\/7. Let y = -10857993\/46 - -236083. Let b = -134\/23 - y. Calculate the common denominator of b and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 4\/13, 112, -4.8, 1\/5.\nAnswer: -4.8, -5\/2, 1\/5, 4\/13, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -58?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.67 - 0.33. Let q be 1*(-1)\/(-1) + (-272)\/176. What is the second biggest value in f, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 2435 + 2552. Which is the third biggest value? (a) -0.13 (b) n (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.01 (c) -0.1 (d) 0 (e) 285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 - 171 + 533 - 187 + 3*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -17185, -29\/4, 37, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - -3.78. Let i = x - -0.2. Let f be 0 + 1\/4 + 0. What is the closest to f in i, 0.3, -5\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 37173?\nAnswer: 37170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118 - 28) + 124 - (2 - 156).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7805+-0.1\nAnswer: 7804.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*l + 1758 = 0, -3*n - l + 2355 = n. Let o = 590 - n. Determine y so that 0 + 1\/4*y**3 + 7\/8*y**4 - 7\/8*y**o - 1\/4*y = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + q - q + (72 - 72 + 32*q)*(4 - 3 + 1)*(1 + 1 + 1)*(-1 + 3 + 0) as m*q + b and give m.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 3564.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:26 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 409271.8431 - 409390. Let w = -0.0431 + v. Let b = w + 118. What is the second biggest value in b, 1, -4, -3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, -3\/4, 1, 1\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -2407.\nAnswer: 12035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g = -39*g + 4080. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x**5\/7 - 2190*x**4\/7 + 36718*x**3\/7 - 92864*x**2\/7 - 214056*x\/7 + 38912 = 0. What is x?\nAnswer: -2, 1, 19\/4, 14, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 3*k + 5*k + (-3*k - 4*k + 5*k)*(2 + 1 - 1) + 1 - 1 + k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2. Let g(o) = -1 - 16*o + 1 + 18*o. Determine w(g(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/99)\/((-421860)\/17380)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56.9925 + -57. Let m = 207.0075 + s. Let t = m + -206.99869. Round t to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -583 (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**5\/20 - 11*o**4\/12 + o**3\/2 - 13*o**2\/2 + 4*o. What are the prime factors of f(11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 1 (b) -0.4 (c) 0.7 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209128, 418397, 627666, 836935?\nAnswer: 1046204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43554.01l to millilitres.\nAnswer: 43554010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6013?\nAnswer: 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, and 1 i when three letters picked without replacement from {y: 5, i: 1, t: 1, z: 4, a: 7, v: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53945783 to the power of 1\/2, to the nearest integer?\nAnswer: 7345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/145? (a) 3 (b) -0.1 (c) 3\/5 (d) 0.032 (e) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 1 + -4 - (1304 + -1320).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.289 * 1.\nAnswer: -0.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 7:30 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.06 and 105961?\nAnswer: 105959.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5049 + -5050. Put 60, 2\/5, -0.11, n in ascending order.\nAnswer: n, -0.11, 2\/5, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -5*r**4\/2 - 15*r - 11. Differentiate m(x) with respect to x.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-6))\/((-1)\/222) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*w = 25, -5*p = 3*w - 2*w - 40. Calculate the lowest common multiple of 6 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 24. Let j be z(-11). Let t(n) = -n**3 + 7*n**2 - 7*n + 2. Let b be t(6). Sort 5, j, b in increasing order.\nAnswer: b, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65d - 3?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -21 - 1 + 4 - 72*z + 17. Let o(m) = 5*m. Give p(o(k)).\nAnswer: -360*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*w - 6*d, 5*d = -3*w + 4631 - 4645 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5118*y = -5068*y + 299 - 3599 for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3290 divided by -7?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -8. Suppose -j - 24 = -m*j. Suppose -p - j*t = -106, 8*p - 594 = 3*p + t. Does 24 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aacq when four letters picked without replacement from aaacqac?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1713.248 and 123.51.\nAnswer: -1589.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23682450855915 and -5.1?\nAnswer: 23682450855909.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(3))**2 + 1)*-5.\nAnswer: -25 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3 and 25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + x + 381*g + 6 = 380*g, -x - 9*g - 4*g = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 37, -0.33, 11, -0.0625, 0.5?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*r**2 - 320*r**2 + 105*r**2 + 110*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide ((-4160)\/(-78))\/((-1)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 7672\/193?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**3\/6 - 2*r**2 - 5*r. Let w be u(3). Let y be 2\/w + (-6)\/(-21). Solve -3*t - 8 + 2 = y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1113)\/(-61215))\/((1\/(-4))\/(1\/(-2))))\/(-1)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - o - 36966, -4*b - 25*o + 73928 = -28*o. List the prime factors of b.\nAnswer: 5, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/524, 67, 20, 1, 0.4 in ascending order.\nAnswer: -1\/524, 0.4, 1, 20, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + ((-3)\/2 - (-75)\/10). Suppose -4 = -o - c, -26*c + 27*c = 2. Solve -3*p = -p - o*t, u*p - 16 = t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 53, 118, 209, 326, 469?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-48))\/(-5))\/(135\/540).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 - 76 - 11*o + 8*o.\nAnswer: -3*o - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 21*w - 4. Let r be k(-11). Suppose r*f - 11 = 17. Solve y - 20 = -f*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1133, 2252, 3371, 4490?\nAnswer: 5609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/75*(-54)\/36?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(-2*sqrt(10)) + (sqrt(13) - (1 + sqrt(832)))**2.\nAnswer: 27*sqrt(13)\/2 + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22 and -28085877660.\nAnswer: -28085877682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 6*n. Let k be l(-6). Let b(i) = 1 - 7 - i**2 - 11*i + k. What is the units digit of b(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k + 10. Suppose 119 + 21 = k*g. What is the highest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -10*2\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 293988.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -1 - (-73 + 60)) + -13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -26, -5, 1\/5, 1.\nAnswer: -26, -5, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**6\/360 + i**5\/3 + 50*i**4\/3 + 25*i**3\/3 + 21. Let m(j) be the third derivative of g(j). Factor m(f).\nAnswer: (f + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1348, -383, -8278, -25421, -54896, -99787, -163178?\nAnswer: -248153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + t = -0*u + 158, 142 = 2*u - 7*t. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16*1)\/(2\/1310). Suppose 4*t = -4*t - q. What is t rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36289 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620721?\nAnswer: 3, 17, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 4*d**2 - 4*d - 5. Let t be o(-4). Suppose 2*p + 3*p = t. What is the remainder when 43 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11055 (base 7) in base 16?\nAnswer: -ae0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - -6. Suppose 16 = c*x - 51*x. Sort 9, -2, x.\nAnswer: -2, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/27 and 68\/321.\nAnswer: 2889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30945 is divided by 7718.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 5*z**2 - 7. Calculate b(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61*-40.\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3543 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 1911?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - -5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2433\/4 + -609. Let j = 0.11 - -0.09. Let k = 3.8 + j. Which is the second smallest value? (a) k (b) n (c) -1\/4 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(1 - 1 + 2) - 87 + 155 + 138)*(3*y - 3*y - 2*y).\nAnswer: -404*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**3\/6 + 3*t**2\/2 - 4*t. Let y be a(0). Suppose 8 = 2*w, y*x - 4*w - 32 = -3*w. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, 0.1, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014094 rounded to six decimal places?\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -26*z. Suppose h + 3*h + 4*f = -16, -5*f = 2*h + 20. Let g(p) = -2*p + h*p + 3*p. Give g(m(w)).\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 330 - 330. Suppose -20*m + 37 + 3 = f. Solve -2*n - m*v = 4, v - 12 = 3*n - 2*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 9 = 3*j. Let c(g) = -g**2 - g + 2. Let w be c(0). Solve -w + 5 = -j*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.2+0.17\nAnswer: -15.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/5))\/(n\/n**(-2))*n**5*n**3*n)\/((n\/(((n**1\/n)\/n)\/n)*n)**(-1\/11))**(-1\/28) assuming n is positive.\nAnswer: n**(2767\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*u - 194582 + 12163. Let w be (26390\/78)\/(u\/(-4800) - -2). Round w to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/198*((-1)\/(-3))\/((-55)\/495)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 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: What is (-13)\/(-20*38\/(-4560) - (-5)\/6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90850.69 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121769476 to the nearest integer?\nAnswer: 11035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 29\/14, 0.3, -0.1, -32, -101, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a = 8. Calculate the remainder when ((-27)\/(-12))\/((-6)\/(-80)) is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388466, -776932, -1165398?\nAnswer: -1553864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 5. Let h be u(4). Suppose -3*l = -4*l + 4*n, 0 = -3*l + 5*n + h. What is the lowest common multiple of l and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -2*i**6\/15 + i**5\/30 - 10*i**2. What is the third derivative of b(g) wrt g?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0304590613 rounded to 6 decimal places?\nAnswer: -0.030459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 5:06 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 76368494861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*o*z**4 + 2*o*z**3 - 134*o*z**2 + 18*o - 20*z**4 - z**3 - 2 wrt z.\nAnswer: 1536*o*z + 12*o - 480*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 2*d. Let k be m(4). Let w be 5\/2 - 4\/k. Suppose 14 = -3*q + w. What is the nearest to -2\/15 in -5, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -583 - 6856. Let n = -163617\/22 - v. Calculate the common denominator of 43\/14 and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/60 - z**4\/4 - z**3\/3 - 2*z**2. Calculate g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(147) - (0 + sqrt(147) - sqrt(147))) + 3) + sqrt(147) + -3 + -3 + -5 + 4)**2.\nAnswer: 448*sqrt(3) + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/17 (b) -3\/8 (c) -86 (d) -2\/83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163905 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.028 - 0.02714. What is x rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 - 18*j + 6. Let k be s(5). Solve -3 = -3*n + 2*r, -5*r - k = 5*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 3*v + 3*v - 1 - v + 1 + (-2 - 1 + 4)*(-5*v + 2*v + 2*v) - v - 4 + 1 + 4 + (5*v - 14*v - 1 + 7*v)*(104 + 15 - 416) to k*v + x and give x.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 6, 5, 4?\n\"Answer: -d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 328725.00055 - 328751. Let o = 25.989 - -0.011. Let a = f + o. Round a to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3633 + 1?\nAnswer: -3632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141918 divided by -1.\nAnswer: 141918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 97. Suppose -o = -6*o + 10. Suppose z*p - 15 = -o*p. What is the smallest common multiple of 21 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-17)\/((-255)\/(-18)))\/(6\/(-80)). Let s be d + (3\/(-9) - 20\/(-6)). Factor 6*j - 19 - j**2 - 10*j + s.\nAnswer: -j*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1962 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 8. Suppose -3*f - 3 = f - 3*i, -1 = 4*f - i. Does 8 divide x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.3. Which is the nearest to 1? (a) 10 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6da7 + -5?\nAnswer: -6dac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 2*h = -8*f - 36, 0 = -4*f - 4*h + 40 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6924291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -50766708 = -50766711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c - c + 209 = -15*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwu when three letters picked without replacement from {u: 4, w: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h + 5\/2*h**3 + 0 + h**2 + 2*h**4 + 1\/2*h**5.\nAnswer: h**2*(h + 1)**2*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12611197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**3 - 3*f**2 - 10*f - 3. Let k(a) = -13*a**3 - 7*a**2 - 19*a - 7. Let b(i) = 3*k(i) - 7*m(i). What is the second derivative of b(j) wrt j?\nAnswer: 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkk when three letters picked without replacement from {k: 13, w: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c = -347 - 263 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -13*t**3 + 2*t**2 - 9*t - 1. Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**3 + 33*i**2 + 3*i + 54. Let n(j) = -9*j**3 - 64*j**2 - 7*j - 107. Let g(k) = -6*n(k) - 11*y(k). What is the tens digit of g(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 24 + 33 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 2448*i**2 - 7292*i - 9744.\nAnswer: -4*(i - 609)*(i - 4)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509 - 953 = 86*j + 172 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + 24*s**2 + 25*s + 8. Give j(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 943*p + 5*r = 947*p - 207, p = 4*r + 159 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 15 = -3. Let n be ((-3)\/(-6))\/(3\/(-9)). What is the third smallest value in -2, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + v**3 + 145*v**2 + 0*v**3 + 155*v**2 + 143*v**2 - 434*v**2.\nAnswer: -v**3 + 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(1 + sqrt(13) + sqrt(13)) + (-3*sqrt(156)*3 + sqrt(156))\/sqrt(12).\nAnswer: -2*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 3404428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (45 - 1) + -32.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1919108*c**2 - 1775688 wrt c.\nAnswer: -3838216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 27. Let i = 15 - 6.9. Let n = 8 - i. Which is the nearest to 0.1? (a) n (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90113*t = -90249*t - 6528 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3015, -3708, -4883, -6540, -8679?\n\"Answer: -241*o**2 + 30*o - 2804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -54, -104, -174?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, 89 in increasing order.\nAnswer: 3, 19, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5 (b) -3\/5 (c) 1154 (d) 16 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + 30. Let j be g(-9). Suppose -2*p = j*p + 5. What is the tens digit of ((-8)\/10 - p) + 1884\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - m - 39 = 0, 3*l + 129 - 126 = m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -153122600 to the nearest 1000000.\nAnswer: -153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q\/q**(-14))\/q)\/q*q)\/q*q*q*q\/q**(-15)*q**4*q*q\/(q*q**10) assuming q is positive.\nAnswer: q**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90565?\nAnswer: 5, 59, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - u - w - 24 = u - 4*w, w = 11 - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -1. Let k(a) = 1 - v - 4*a + 1. Determine k(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 876365542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erzezewrweezhwweh. What is prob of sequence zzzw?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55137 = -84*j + 141171. What is the remainder when j is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 306.670312?\nAnswer: 306.670312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616953231?\nAnswer: 3, 53, 251, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 581899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s + 3*s - 3*s + (-5*s + 3*s + 3*s)*(10 + 12 + 8).\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and (96\/32 - (5 - 0))*-14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2640*u + 60. Let h be k(-9). Let m be (-1)\/(-14)*2 - h\/140. Calculate the common denominator of 5\/54 and m\/(-96) + 15\/(-10).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -29, -2, -5, 464, -4 in decreasing order.\nAnswer: 464, -1, -2, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37612451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 1\/24*g**4 + 0 + 46*g**2 + 0*g + 0*g**3. Let s(r) = -85*r. Determine n(s(w)).\nAnswer: -85*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 15*y**2 + 6*y - 7. Suppose 0 = i + i - 4. What are the prime factors of n(i)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.55 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11767900 and 176518500.\nAnswer: 176518500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9d38cb (base 14) to base 11.\nAnswer: 3024428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807 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: What is the ten thousands digit of 91284876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 8*n**2 - 9*n - 8. Let k(z) = -z**2 - z - 1. Let u(c) = j(c) - 5*k(c). Let y be u(4). Put -5, y, -2 in decreasing order.\nAnswer: -2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 9011193?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6607823 millennia to months.\nAnswer: 7929.3876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*v + 368*v - 9056 = -37728 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1237*d**3 - 2 + 1995*d**3 - 863*d**3 + 2 + 2*d.\nAnswer: 2369*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-574)\/2)\/(((-6)\/((-60)\/5))\/((-3)\/21))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.61 + 1.82. Which is smaller: f or 1\/112?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-8))\/((-5)\/(-310)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13379.\nAnswer: 17, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 448162 and 4.\nAnswer: 1792648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 143*w + 2*w**2 - 4 + 73*w.\nAnswer: 2*w**2 + 216*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*18\/(-126)*1\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-10)\/6) - 8624\/770\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4051978606.\nAnswer: 2, 13, 155845331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/(-187) - 4\/(-22). Suppose 0 = -3*t - 4 - 8. Put t, i, -2 in descending order.\nAnswer: i, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 39 (c) -0.04 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-154)\/(-28)*(-4)\/2. Let l(y) = y - 8. Determine l(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 13910 = 8930. Does 63 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4197 - 2553. What are the prime factors of c?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from jjlmjmimhiummmj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsddxssddsxssssdsx. What is prob of picking 2 d?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*g + 5*n + 1, -4*n + 4 = 0. What is the third derivative of -21*j**4 + 38*j**4 - 25*j**2 - 85*j**2 + 62*j**g wrt j?\nAnswer: 1896*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187720, 187707, 187692, 187675, 187656, 187635, 187612?\nAnswer: 187587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - p - 6 = 5, 3*p + 5 = q. Let w = 8 - q. Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -106*f**2 + 81*f. Let q(j) = j. Calculate t(q(i)).\nAnswer: -106*i**2 + 81*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 258 - 777 + 258 + 261 - 927*u**2. Let j(t) = -2*t. Determine j(p(y)).\nAnswer: 1854*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 17*y**2 - 14*y + 16. Let a(l) = -3*l**2 + 51*l + 96. Let k be a(19). What is t(k)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 9*r + 5. What is o(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 9:51 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00266095 rounded to five dps?\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 65721.3 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p. Let n(y) = 46 + 15*y**2 - 46. Calculate j(n(b)).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 11:33 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 650496 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84514 + -228614. Round b to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2779510 and 8.\nAnswer: -2779502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/9 in -3, -0.3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -13. Suppose l = 2*a - 15. Suppose a*d = 13*d. Solve d = i + i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(3*5*4*sqrt(18)\/sqrt(6)*-3*-2)**2 + 4).\nAnswer: -777596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 12 + -9 + 0 + -5 - 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153*j**2*k**2 - 4*j**2*y**3 - 2*j*k - k**2*y**3 + k**2*y - y**2 + 4 wrt j.\nAnswer: -306*j*k**2 - 8*j*y**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {o: 2, n: 1, u: 3, b: 1, d: 8, l: 2}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3.342*-2.54\nAnswer: 8.48868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/(-10))\/((-1)\/(-50)). Let b = -222 - d. Let m = 60 - 33. What is the highest common divisor of b and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228659 is divided by 2894?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*o + 391 = -145 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.29 - 0.19. Let c = o - 9.7. What is the fourth smallest value in 10, c, 3, -1\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 3089312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = 17*b - 3*j, -5*b - 1115*j = -1112*j - 45 + 113 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -29. Is 3 + (-652)\/a + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**8\/112 + 23*h**7\/15 + h**6\/120 - 11*h**5\/20 - h**4\/24 + h**3\/2 - 10*h**2 - 101. Find the third derivative of g(q) wrt q.\nAnswer: -180*q**2 + 7728*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -16 + (-9 - 84\/(-54)) + 26.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + f**2 + 6 + 1.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 7*f + 9. What is the units digit of t(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iio when three letters picked without replacement from {i: 7, d: 1, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2238c2a7 + 8?\nAnswer: 2238c2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7921229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(3 - 0) + 1 + (-50)\/(-12)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3302 and 1?\nAnswer: 3302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1833, 7336, 22275, 51366, 99325, 170868, 270711?\n\"Answer: 786*f**3 + 2*f**2 - 5*f + 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.1 - -57. Let w = -130 + 118. Let h be (12\/9)\/2*3. What is the nearest to -1 in h, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 3) to base 15\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2 - 1338*v + 18144 = 0. What is v?\nAnswer: 14, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1260.57809957 + -1260.5011. Let m = -0.077 + w. What is m rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*z**2 - 464648\/5 + 1928\/5*z = 0. What is z?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = 4*q. Solve -q*h = y - 2, -4*h + 1 = -4*y + 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(425) + sqrt(425) + 1 + sqrt(425) + sqrt(425) + 1)**2 + -2*(sqrt(17) + -1)**2 + (sqrt(153) + sqrt(153) + sqrt(153) + 1 + sqrt(17))**2 + 4.\nAnswer: -16*sqrt(17) + 8470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -74198, 9 in ascending order.\nAnswer: -74198, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((165\/10)\/(-11))\/((-2)\/4). Does 8 divide 0\/t + 2 + (4 - -34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -3 (c) -2 (d) 4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a0 + 2?\nAnswer: 5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, x: 4}. What is prob of sequence xxy?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 1. Let r(v) = v**3 + 7*v**2 + v + 64. Let a(k) = 2*r(k) + 14*z(k). What is the remainder when a(0) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-2380)\/(-224)) + 166\/(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -216 + 1225. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - a = 3, 3*l - 2*a - 16 = -4*a. Suppose 4*v - 7 - 1 = 0. Suppose -4 - 6 = -v*w + l*m, 3*m = -4*w - 8. Solve -d + w = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*x + 13 = -5*d, 2*d - 3*x + 11 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24402730 is divided by 1068.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 10 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19416324.\nAnswer: 2, 3, 23, 103, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -5. Let s = -6 - j. Let q be (3\/s)\/(28\/(-8)). What is the second biggest value in 0.07, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(20\/(4480\/48)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -21 (b) -0.4 (c) 59 (d) 0.18 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2357750 is divided by 2918.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -5*q - 4. Let p = 35 - q. Suppose -n - 21 = -k, 93 + 2 = p*k + 5*n. What is the greatest common factor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3381168 rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 78 = c, -5*c = y - 30 - 0. Calculate the least common multiple of 3\/10 - 4902\/(-860) and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 2*y**2 - 5*y - 3*y**3 + 2*y**3. Let a be n(2). Is 561\/27 + a\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p - 8. Let f be j(-4). Let h = f + -5. Solve -2*s = -2*y + h*y + 3, 5*s + 4*y = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 11) + (10 - 0). Suppose 3*g - i*q - 23 - 6 = 0, -2*g + 5*q = -31. What is the remainder when 5 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) -0.08 (c) 0.74 (d) -511\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 30*o + 228 = 5*q, 3*o + 2*o - 4*q = -27 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*y**3 - 18308*y + 149 + 18308*y wrt y?\nAnswer: -147*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514782568 - 2.\nAnswer: -514782570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (136 - (-19 - -27)) + -16 - (-6 - -2)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10373 - 5?\nAnswer: 1036c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y + 1208 = 0. Let l = y - -715. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8150\/163*(-1316)\/470\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 919491257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -66*r - 277. Give t(-6).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Let z be n - (3 + 2 + -2). Suppose 10 = -4*l - 2*y + 118, z = 5*l + 4*y - 129. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + n - 26. Let x be d(-9). Suppose 13*s = 15*s + 2*t - 82, 3*s + 2*t - x = 0. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 293125, 293168, 293211, 293254, 293297?\n\"Answer: 43*p + 293082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2314498 - -65.\nAnswer: -2314433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, -52, -92, -142, -202?\n\"Answer: -5*y**2 - 15*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6869 or -6857?\nAnswer: -6857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17c5 (base 13) to base 2\nAnswer: -110111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -60470 (base 8) in base 11?\nAnswer: -17776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 + 66*z - 21. Calculate d(14).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126024235.\nAnswer: 5, 383, 65809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*(-1)\/(-2))\/(-4). Let j = 221 - 216. What is the second biggest value in j, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from kbbbjjxxxfbexe?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/570*(29100\/(-776))\/((-5)\/(-6))\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 928.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, 1, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6827339 is divided by 62636.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000267842373 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4088.4 - -4089. Is 26 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26\/31 - -791\/93. What is the common denominator of t and (22\/(-275))\/(1\/135)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*r + 2038 = 10552 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -70, -407, -1180, -2563, -4730, -7855, -12112?\nAnswer: -17675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24422 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 5*s = 5*c - 21, -3*c + 39 = -5*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 321 times -5\nAnswer: -1605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1)*s))**11*(s\/(s*(s*s*s**(1\/5)\/s*s*s)\/s*s*s))**5 assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 798999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 148. Let f = m - -65. Suppose k = -3*j - 0*k + 8, j - 3*k + 4 = 0. Which is the second biggest value? (a) j (b) f (c) -5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16420551315 - 4?\nAnswer: -16420551322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o - 6*o - 10*o**2 + 0*o**2 - 3*o**2 + 2 as f*o**2 + r*o + g and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 1042057240?\nAnswer: 1042057241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 22700*b + 1502556.\nAnswer: -(b - 22766)*(b + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*v**3 - 292*b*v**2 + 3*b*v + 28 wrt v?\nAnswer: -6*b*v - 584*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -248\nAnswer: -1\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8007 + 25693. Calculate the highest common divisor of 239 and h.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8866 divided by -2537.\nAnswer: -8866\/2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 2531 = -1291. Suppose -4*s - 3*q = 897, s - 46 = 4*q - n. Let l = s + 329. List the prime factors of l.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*z**4 - 14*z**4 + 23*z**4 + (0 + z**3 + 0)*(2*z - z + 3 - 2).\nAnswer: 47*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 8*h**2 - 2*h - 9. Let z be x(-8). Suppose -y - b = -116, 3*b + 604 = z*y - 2*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + -0.2. Suppose 0 = 2*v - 2 - 2. Suppose b - 3 = c - v, 2*b = 5*c - 10. Is k less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 104.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 2:09 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 475 * -487.818\nAnswer: -231713.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*v - 5*v + v)*(2 - 5 + 1) + 0*v + v + 0*v)*(-v**2 + 0*v**2 - 2*v**2) + (-v + 3*v - 3*v)*(4*v**2 + 73 - 73) + 4 - 4 - 3*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3571 - 13b61?\nAnswer: -105b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7539653417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r = 2*o - 27, -4*r = -4*o + 44. Let f be (-5)\/1 - (-6)\/(o\/29). Solve -25*t = -f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859 = -m - 107*o + 91*o, -11*m - o = 8*m + 3*o + 121 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 49. Let i(u) = 10844*u**2. What is t(i(s))?\nAnswer: 10844*s**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 13) to base 10.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 24 - 26 = 0. Let a be g\/(-3)*-2 - (-7)\/(-3). Suppose 2*b = 7*b. Put -5, -4, a, b in decreasing order.\nAnswer: b, a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(21\/168)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5883 + 933?\nAnswer: 65b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13870 and 6935?\nAnswer: 13870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103449*d + 1093 = -103342*d - 298 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1860970?\nAnswer: 2, 5, 186097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*6*(sqrt(190)*1 - sqrt(190) - sqrt(190)))\/(sqrt(640) + (sqrt(640) - (sqrt(640) + 3*(sqrt(640) + (sqrt(640) - sqrt(640)*-1))))))**2.\nAnswer: -85\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -786 + 865. Calculate the remainder when 314 is divided by v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -6, -62, 301, 5.\nAnswer: -62, -6, -5, -2, 5, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17641 and 1039462.\nAnswer: 13513006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2. Let s(n) be the second derivative of 2*n**4\/3 - 52*n. What is -7*p(z) - 4*s(z)?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 + 2*q - 1. Let m be w(1). Let r = m - 0. Suppose -307 = -r*b - 35. Round b to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3958 - 3953. Solve 4*d + 0*f = -2*f + 2, -n*d + 5*f = -10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -507105*i**5 + 65992*i + 60?\nAnswer: -10142100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*m**4 - 6*k**3 - 145033*k*m**4 + 25923*m**2 wrt m?\nAnswer: 48*k**3*m - 3480792*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 2:46 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3560, -14915, -34064, -61007?\n\"Answer: -3897*i**2 + 336*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82106 + 0.13.\nAnswer: 82106.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 182088 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/48 and 29\/54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 41 = 5*b. Suppose 0 = -2*m - 5*g - 39 + 28, g = -3. Suppose 0 = -m*a - b + 132. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 654 - 584. Let k(u) = -u**3 - 3*u**2 - 4*u - 3. What is the least common multiple of p\/((6 - 4)\/(-1)) and k(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwfw when four letters picked without replacement from {w: 7, f: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 5*h**2 + 6. Calculate the remainder when 34 is divided by b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -11) + -9 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4817111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -222*o - 205. Let y(k) = -148*k - 137. Let v(c) = -5*x(c) + 8*y(c). What are the prime factors of v(-6)?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 58322 divided by -1760.\nAnswer: -2651\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*d, -3*z + 24 = 2*d - 7*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1911026*c**4*w - c**2*w - 33175*w - 170 wrt c.\nAnswer: 7644104*c**3*w - 2*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1855 is divided by 1775?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/10368*32)\/(((-6)\/(-344))\/3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1205258 and 11?\nAnswer: 1205269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c + 11*c + 9*c - 2 + 12*c as q + w*c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 324544981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -34. Suppose j = 5*b + 12, b = 5*b + f. Let g(y) = y**3 + 5*y**2 + 3*y - 5. Let w be g(-4). Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 9*d**2 + 9*d - 13. Let w be z(-10). Let m(l) = -3*l**2 - 2*l - l - 6 + 2*l**2 + 3. Give m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.071 times -0.3513\nAnswer: 0.0249423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwmpxlmw. Give prob of sequence lfp.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239*433.\nAnswer: 103487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -43 and 4013133.\nAnswer: 4013090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = t, -2*w - 6*t + 17 = -t. Solve 3*x = -9, -3*u + 7*u - x + w = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {z: 1, d: 3, o: 1, k: 4, b: 1, h: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 677*i**2 - 2*i + 40. Let a be v(-6). Let c = -34894 + a. Round c to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162\/5 = -2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -3*g + 36 - 1\/2*g**2. Calculate u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 5:59 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 6*j - 3 = 0, 19*j = 4*n + 15*j + 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9) + (-328)\/12. Let l = 33 + x. Suppose 3*b - l = -2*w, -4*w = -3*b + 2*b + 2. Solve -b*n + 0*n - 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**4 + t**3 - 3*t**2 + t + 1. Let n(k) = 20*k**4 + 15*k**3 + 9*k**2 + 47*k + 11. Let z(d) = 2*n(d) - 22*x(d). Solve z(v) = 0.\nAnswer: -3, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 15*k - 61. Give g(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/963616 and 71\/361356.\nAnswer: 2890848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/8? (a) 3\/4 (b) 2 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56678711.\nAnswer: 56678711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7.794762 * -0.1\nAnswer: 0.7794762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 245533 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 9*k - 669. Let p(o) = -o + 8. Determine 6*p(t) - s(t).\nAnswer: -t**2 + 3*t + 717","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -1 + (-30 - (33 + 9 + -85)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12630817 - 5*x**2 - 12630817 + 122*x.\nAnswer: -5*x**2 + 122*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 22581 = -5*k, -3*m + 0*k = -2*k - 22623. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 10:29 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/19, -6008, 2\/7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/(-5)*(-22)\/(-11077)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/(39\/(-18) + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-5 - 1))\/(26\/(-13)). Let c be (-2)\/z*(-45)\/6 - -2. List the prime factors of 2 + 3\/c - -67.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28911.9 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c**2 + 10*c - 21. Let s be q(4). Suppose -s*y + 616 = -177*y. List the prime factors of y.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17388092.\nAnswer: 2, 23, 331, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107496 = -8*y + 32*y. Suppose 12*f = 3741 + y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*k - 5 = 0, -13 - 29 = -3*k + 17*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2780270 and 15200.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -17*t**3 - 17*t**2 + 25*t + 59. Calculate w(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1658*v = -1654*v - 14007888, 0 = -3*v - 9. Round d to the nearest ten thousand.\nAnswer: -4670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 c when four letters picked without replacement from {c: 3, q: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m + 3*t + 7, m - t - 1 = 0. What is the second derivative of 2*f**3 + f + m*f**3 - 17*f**3 wrt f?\nAnswer: -78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*t + 18. Suppose 13 = -3*a + t*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 30?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91815 and 390.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(1 + sqrt(288)))**2 + sqrt(288) + 5.\nAnswer: 876*sqrt(2) + 10405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616080 and 5280?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459245 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 - (8 + 240\/(-160)) - 63\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115543311 (base 6) in base 3?\nAnswer: 11012200111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-150)*6\/(-8)*2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 168 = -4*s. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*l - 3*d, -1 = 3*d - 4. Let j = 0 + 2. Suppose -j*g + l*v = -25, g + 4 = 5*v + 29. Solve 0 = -g*a + 4*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -28*n - 7. Let i(r) = 27*r + 6. Let c(f) = -6*i(f) - 5*z(f). Is c(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -6. Let g = 12 + d. Differentiate -3*h**3 + 0 - 2 + g*h**3 with respect to h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (184\/(-10))\/(2\/(-5)). Let n = 198 - i. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -820*33*(-11)\/165. Solve -1791*i = -n*i - 104 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16)*98*(-3936)\/861?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/(-9) - (-16)\/72. Suppose 5*u + 2 = -4*c, 0 = -5*c + 2*u - l*u + 8. Let o = c + -4. What is the biggest value in -5, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {g: 1, f: 1, a: 3, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1320 = 30587*h - 30543*h. Put h, -2, -7 in descending order.\nAnswer: -2, -7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -48. Suppose 78 = 4*r - r. Let l be (-6)\/g + 22\/r. Solve 0 = 2*d + l - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**4\/24 - 4*o**3\/3 + 3*o**2. Let k be m(10). Let w be (2*-1)\/(0 - 2). Sort w, k, 3 in decreasing order.\nAnswer: 3, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 7*f + 5658. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/24 - n**3\/6 - 9*n**2. Let c be f(-3). Let x(w) be the first derivative of -w**2\/2 + w + 1. Calculate x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -20. Solve 0 = d - 6 + m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-3)\/(-3) - -3. Suppose -h*b = -48 - 27. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1175, 6395, 15665, 28985, 46355, 67775?\n\"Answer: 2025*p**2 - 855*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 39\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(6912) + sqrt(6912) + (sqrt(6912) + 2 + sqrt(6912) - sqrt(6912)) + 3)**2.\nAnswer: -960*sqrt(3) + 27673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1)\/(-20)*4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 12. Let r = g + 5. Solve -3*b - r*b = -25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 4697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 131*o**2 - 954*o - 2038. Determine q(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 0*x - 7*x in the form l*x + k and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {k: 1, v: 1, u: 1, e: 5, q: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 11*g**2 + 2*g - 7. What is k(10)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17386\/15 - 1161. What is the common denominator of x and 364\/126 - (-2)\/6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1695540*j**2 - 44*j + 277492876 with respect to j.\nAnswer: 3391080*j - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5186609 is divided by 305094?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429565 is divided by 107158?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1) + 14\/(-4). Let b be ((-25)\/(2200\/(-66)))\/(2\/2 - -2). What is the nearest to -12 in b, z, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63505 + -64309.02. Let o = d + 774. Let q = o - -0.02. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0)*6 - (0 + -1 + sqrt(19)).\nAnswer: 1 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 1a64?\nAnswer: 1a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*p**3 - 36*p**3 - 42*p**3)*(-3*p + 3*p + p) as u*p**2 + q*p**3 + j*p**4 + c + l*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253571983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 30 = -4*h, 8*h + 3*d + 19 = 10*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -13*g**2\/2 - 188*g + 305. Calculate k(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 126*g - 667. Let d be x(5). Which is the biggest value? (a) -0.3 (b) d (c) 1\/56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + s - 3*s + (2*s + s - s)*(4 - 2 - 3) + (-3*s + s + s)*(8 - 3 - 1))*(-s**2 + 0 + 0) to d + x*s**3 + g*s + k*s**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1894 + -777. Suppose -l + 3*o + 298 = -o, -o = -4*l + y. What is the smallest common multiple of l and 4?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1471 - 232. List the prime factors of (1 + 0)*46*x\/354.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*t + 23, -2*h - 3*t + 14 = -5*t. Suppose 0 = -5*x - 5*z - 614990, -x - 2*z = -h*z + 123004. Round x to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3) - (5269\/429 + -17)\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42366 + -200155?\nAnswer: -124456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from {s: 2, w: 2, p: 2, b: 1, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3 + 4 + 7*p + 19 + 7. What are the prime factors of q(8)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 261*l**2 - 147*l**2 + 331*l**2. Let u(w) = -2*w. Calculate r(u(q)).\nAnswer: 1780*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 65 = 0. Let u = q - 11. Factor -1\/3*m**u + 0 + 0*m + 5\/3*m**3.\nAnswer: m**2*(5*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**5\/2 + 890385*d**4\/4 - 2337102*d**3 + 4006419*d**2\/4 + 2225805*d\/2 = 0.\nAnswer: -1\/2, 0, 1, 10, 148387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 - ((-6 - -2) + 27 + -33 + (58 - 57)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5022301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Suppose z*i + 2 = 4*i. Let t = 5 - i. Which is the closest to 0? (a) t (b) 1\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 54 = -5*p. Let z = -7 - -24. Calculate the greatest common divisor of z and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.5 (c) 0.6 (d) 72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513.3 - 1?\nAnswer: -1514.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:19 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-22)*3*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/9687889?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + u + 2, -2*u = -u - 1. Let i(d) be the second derivative of d**4\/6 + 2*d**3\/3 - d**2\/2 + 3*d. Determine i(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -7e19749?\nAnswer: 7e1974d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -61 * -17\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19304, -50506, -81708, -112910, -144112, -175314?\n\"Answer: -31202*o + 11898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:49 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l + 4. Suppose 2*m - 7 = -1. Let g be z(m). Let c = g - 9. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/1)\/(-2 + 4). Suppose 0 = 2*n + g*n - 8. Factor -5*r - 2 + r**2 - 2*r**2 + n*r**2 + 6*r.\nAnswer: (r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*k + 77*k**2 - 31*k to the form u + v*k**2 + d*k and give v.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 17 = -u - 75, 0 = -2*h + 5*u + 187. Calculate the remainder when h is divided by (-2)\/(-5) + 339\/15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*m**2*q**5 + 5*m**2*q**3 - 12*m**2*q**2 + 145*m**2*q wrt q.\nAnswer: 1560*m**2*q**2 + 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4539992 + 4540548.698354. Let i = r + -552.09835263. Let k = i - 4.6. Round k to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2950*r**2 - r + 2*r - r + 891*r**2.\nAnswer: 3841*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.29? (a) 1\/3 (b) -0.3 (c) 713\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12447 is divided by 322.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -7*y**3\/3 - 3*y**2\/2 + 14899*y. Let i(a) = 28*a**2. What is i(c(f))?\nAnswer: 5488*f**2 + 2352*f + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 23, 0, -0.1, 5 in decreasing order.\nAnswer: 23, 10, 5, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3460464*p**3 - 1111661*p - 1 wrt p.\nAnswer: -20762784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6263051823.\nAnswer: 3, 7, 23, 79, 54713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033 take away 0.9?\nAnswer: -0.8967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 880404 divided by 6.\nAnswer: 146734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/666 and -79\/444?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 1804 = 16436. Calculate the greatest common divisor of 133 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, u: 1, i: 3, f: 6, d: 1}. Give prob of sequence ibui.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15062)\/(-238) - (4\/7)\/2. Let v = -58 + l. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**2 + 3*p**3 + 240 - p**4 - 2*p - 240 - p**3 in the form x*p**3 + h*p**2 + c*p**4 + y*p + d and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 37*c + 55 = -687 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a factor of 1388463939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - 3*k + 3*k + (k + 0*k - 3*k)*(111 + 24 + 79) + (1 + 3*k - 1)*(-3 - 1 + 2) as v + u*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 130 = -176. Let p be (3*-1)\/(-3) - g. Suppose 0 = 5*r + 3*a - 8*a - 45, 3*a = r + 1. Calculate the highest common divisor of p and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/33*51\/(-6)*(-3)\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3701, -3444, -3139, -2786, -2385, -1936, -1439?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/3 - 4*j**3\/3 + 3*j**2\/2 + 4*j. Let h(v) = -6*v + 74. Let m be h(13). What is the remainder when t(m) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 - 3452*m + 22343070.\nAnswer: 2*(m - 12945)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 97 + (-3 + 2 - (-1 + 3)). Let h = m - 89. Suppose -4*a = -4*b + 4, -4*b + h*a + 3 = -0*b. Solve -3*w = -9, b*j + 4 = -2*w + 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14452*d**3 + 1905*d**2 - 2 wrt d.\nAnswer: -86712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 2, t: 5, s: 1, b: 2, w: 1}. What is prob of sequence kh?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1140 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1015*(-5)\/((-525)\/30). Solve f*r = 299*r - 63 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 6*l**2 - 5*l - 1. Let n be s(-5). Let q = 38.966 - 38.466. Which is the second biggest value? (a) -0.5 (b) q (c) n (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*o**3 + 2*o**3 + 0*o + 0*o + (-3720*o - 3623*o + 7691*o)*(o**2 + o - o) + (-3 - 2 + 4)*(1 - 1 + 2*o**3) + 0 + 0 + o**3.\nAnswer: 351*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20364920, 40729840, 61094760, 81459680, 101824600?\nAnswer: 122189520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 2*p + p - 3 + 4*p. Let b be c(4). Suppose -b + 17 = -4*g. Do -0.1 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19828316.\nAnswer: 2, 457, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3103 (base 12) in base 15?\nAnswer: -43046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -54*g + 164. Let r be q(3). Solve -c + r*k - 1 = 0, 5*c = c - k + 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*-1 - 224\/(-8). Suppose 0 = -4*b - w - 17, -5*w = -0*w + t. Suppose 3*g = -4*n + 1, -74*n + 73*n + g = -9. Sort b, 9, n.\nAnswer: b, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3751221380 and 263832?\nAnswer: 3750957548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/836 and 31\/177155.\nAnswer: 13463780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76453 to two dps.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*h - 5*h + 7*h + (-3 + 4 + 1)*(-h + h - h))*((-2 + 0 + 1)*(-5 - 1 + 4) - 15 + 5 - 6) as z + d*h and give d.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/6)\/((-1)\/4). Let c be r\/((-4)\/18) - 2. Find the first derivative of 11*v**3 + 2 - 13*v**3 - c wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from ogmgvyb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 4) to base 12\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 168\/23 (b) 9 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*p + 9, 2*p - 2113*b = -2118*b + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4247794?\nAnswer: 2, 2123897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 2*z + 1. Let x be q(2). Let h = 193 - 141. What is the highest common factor of x and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*p + 46*p**3 - 162*p**3 - 72*p - 42*p wrt p.\nAnswer: -696*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 + 5. Let v be m(-5). Suppose -5*p + 67 = 3*o - 0*o, 2*o = 2*p - v. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 580608.2 millimeters to micrometers.\nAnswer: 580608200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/6))**(21\/4)\/(h**7*h\/(h\/(h*h*h\/h**(-1)))) assuming h is positive.\nAnswer: h**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 18. Determine o(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 3 - (-20 + 3 + -2). Calculate the highest common divisor of c and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by ((-6)\/10)\/((6*(-9)\/(-72))\/(-30)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -105 + 113 + 2\/2*-7. Let o be (-27)\/6*(-4)\/6. Suppose -o*l = -2*l. Put -3, m, l in decreasing order.\nAnswer: m, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(10)\/sqrt(5)*4)**2 - (3 + (-3 + sqrt(2) + -2)**2).\nAnswer: 10*sqrt(2) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 1 - (-3 - -789 - -4). What is q rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a**2 + 351*a - 4628. Give w(-44).\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -250 - -255. Let a(r) be the third derivative of -4*r**2 + 0*r - 3\/20*r**k + 0 - 2\/3*r**3 - 5\/6*r**4. Solve a(b) = 0.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 6. What is v(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 171 = -34*h + 86*h. Put -4, h, -7, 95, 0.5 in decreasing order.\nAnswer: 95, h, 0.5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = -4*b - 2*a, -2*b + 220 = 2*a - 116. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -35. Suppose -2*v = 4*v - c*v. Let i be (-1 - v)\/(2\/(-18)). Solve 4*u = -2*b - 26, -5*b + u = -3*u + i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (1 - 3)*-1. Suppose -2*v + 3 + 2 = 5*h, -t*h - 4 = 0. Let q(j) = 2*j**2 - 8*j + 7. Is q(v) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8338.\nAnswer: 2, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -94. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -19*v - 1. Let x be h(-1). What is the units digit of 4\/x + 744\/54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675) + 2)**2*-3.\nAnswer: -2037 - 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 63*-7\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146561 is divided by 24420?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + 35?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -17 + 187 + -168.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:29 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 - 58. Let h(k) = 105*k + 77. Let n be h(10). Let a = -1042 + n. What is the highest common divisor of a and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -457053 <= -457018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1412*s + 1412*s + 499*s**2 + 2669*s**2 in the form w*s**2 + l + k*s and give w.\nAnswer: 3168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8038 + 5 + -8 + 7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:34 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-5)\/2)*((-2301)\/6844)\/(-39)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 329 - 278. Solve 20 = -46*o + c*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3351 divided by -2.\nAnswer: 3351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040239 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 794553922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*21\/28*(-1562)\/(-33)*2.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -130*n - 20. Let u be c(-3). Is 370 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120848284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -110.\nAnswer: -7\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -5, 5, 1 in descending order.\nAnswer: 206, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1)*-4 - -7. Solve -4*u + 23 = 5*q, v*q + q - 14 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 2*i - 10, -3*z + 21*i - 77 + 13 = 23 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (sqrt(320) + 0 + 5 + sqrt(320)) - (sqrt(320) + 1)*-1)**2 + sqrt(35)\/(sqrt(448)*-2) + -3.\nAnswer: -sqrt(5)\/16 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71381 is divided by 23351.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, 1\/4, 6 in increasing order.\nAnswer: -0.5, 1\/4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9938016*j = -9937831*j - 14430 for j.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 358.9806 + -359. Round f to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9345*h**3*j**3 - 882*h - j**3 wrt h.\nAnswer: -56070*h*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-6 + (-5 - -19) + -21 + 15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h - 4. Let q be y(-4). Let t(f) = -f**2 + 12*f + 7. Let n be t(9). Let o = n - q. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 45 (c) 0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3 = -3*u, 0*u - 5*u + 3*a + 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 60 = -27*q. Let u be (q\/4)\/((-2)\/2). Suppose 5*t - 149 = -4*k, 5*k - u*k - t = 57. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-3)\/5) + 1. Let a = z - -7. Solve -3*g = -0*g - a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41553, 80637, 119731, 158841, 197973, 237133, 276327?\nAnswer: 315561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0 + 86 + 35*q + 40 - 67*q + 28*q. Let b be f(31). Calculate the highest common factor of b and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 182 - 2842?\nAnswer: -2660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20235\/8 - -2529. What is the third smallest value in p, -5, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -3.757, -0.06?\nAnswer: -3.757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 6)*17\/(-1). Let i = 2 + w. Let l = i - -46. What is the smallest common multiple of 4 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 10) in base 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 16 = 0, 5*z - 19 = -5*c + 21. Let w be -2 + 2 + (5 - 2). Let j be 1\/(w\/c*2). Sort j, -3, -0.4 in descending order.\nAnswer: j, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -28. Let g = -0.6 + 0.5. What is the nearest to 0 in 2\/7, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 619, -234, -2549, -7058, -14493, -25586, -41069?\nAnswer: -61674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/6)\/(142\/(-426))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - 18*g + 61*g - 422443 = 0. List the prime factors of g.\nAnswer: 7, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/51? (a) 5\/4 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(103 - 103 - 16*l).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/333*(-27)\/684*48?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (347 - 332) + 0 + (-10 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11\/8 (b) 12 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, x: 4, q: 6, s: 3}. What is prob of sequence sppq?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28503644*d + 16429679.\nAnswer: 28503644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 789437576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 17, -1, -5, 148, 3\/5, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u + 9 = 0. Sort u, -5, 0.\nAnswer: -5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1. Let c(o) = 3*o - 105 - 2*o + o + o + 117. Determine -c(z) + 5*x(z).\nAnswer: -3*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 269\nAnswer: -6\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + -4)*5730\/(-10887)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - -2 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 75. Let d be w(0). Let k = 40 - d. Let b be (-10)\/(-2 + k\/(-18)). Calculate the highest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2584 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 243385 and 0.1.\nAnswer: 24338.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23104002 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - -64. Let b be (o\/(-45))\/(2\/9). Let p = b - -31. What is the smallest common multiple of 6 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-863)\/1726*2\/(-9) - 862\/(-18)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(247\/171) - (-308)\/16?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8921 + -1319. Suppose -4*t - h = -4*u - 2*t, -u - 2*t = -1903. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -973*v + 6. Let m(h) = h**2. What is m(k(q))?\nAnswer: 946729*q**2 - 11676*q + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + -4 + 816\/160 and -15\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 * 0.4915031\nAnswer: 26.0496643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2361*c**2\/5 - 6*c\/5.\nAnswer: 3*c*(787*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012854?\nAnswer: 2, 41, 24547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*l = 18, -l = -j + 3*l - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 183?\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 567*w**3 + 233*w**3 - 269*w**3 + (-2*w**2 + w - w)*(-1 + 1 - 2*w) as a*w + t + c*w**3 + n*w**2 and give c.\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -19*v**2 + 28. Let f(j) = 10*j**2 - 16. Let x(k) = -7*f(k) - 4*y(k). Let q = -4 + 6. Let d(z) = 0 - 4*z**q + 0. What is x(d(s))?\nAnswer: 96*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 26*l - 8. Calculate h(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 30. Suppose 0 = -3*y, -3*f + 0*y - 4*y = g. Solve f = -9*w + 4*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3816?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 177391.1mm in centimeters?\nAnswer: 17739.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112603119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*w**5\/3 - 68*w**4\/3 - 20*w**3.\nAnswer: -4*w**3*(w + 3)*(4*w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(720) + 0 + (sqrt(80) + 1)**2 + sqrt(5) + -1 + -4 + (-1*sqrt(2430))\/sqrt(6).\nAnswer: 12*sqrt(5) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37864 is divided by 37766.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 39. Give b(-27).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:09 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26935326.\nAnswer: 2, 3, 11, 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 804 + 1254 = 14*i. Suppose 0*d + 3*d - i = 0. Calculate the greatest common factor of d and 931.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10159252 divided by 5079626\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 634326316 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**2\/11 - 49836*w\/11 - 4584762\/11.\nAnswer: 6*(w - 8397)*(w + 91)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21857*a**4 - 263*a**2 + 328520*a - 96 wrt a.\nAnswer: -262284*a**2 - 526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1388*j - 1382*j + 2563*j)*(-1 + 1 + 2).\nAnswer: -414*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -414 + 422. What is the remainder when 279 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from guuuuuugu.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, 12, 24, 32, 36, 36?\n\"Answer: -2*w**2 + 22*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/3)*v**4)\/(v*v**(2\/11)*v*v*v**(-4)) assuming v is positive.\nAnswer: v**(115\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 48*c**2 - 58*c - 311. List the prime factors of g(-48).\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 80, 94, 120, 164?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 - -1.7. Let s be ((-156)\/(-30))\/((-2)\/(-5)). Let r = s - 12. What is the closest to p in r, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/i**(-5))\/(i**2)**(-24)*(i\/(i**(-5)\/i)*(i\/(i*i**1)*i)\/i*i)**(2\/9) assuming i is positive.\nAnswer: i**(428\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2101 + 2103. Solve -3*o = 0, -u*p = 5*o + 5 + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 177813450.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 2*d + 2. Let o be x(3). Suppose 2*u - 20 = -o*g, 2*u - 23 = -3*g - 7. Solve 0 = 2*t + 2*a, 5*t + g*a = -0*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 27 = 3. Suppose -2*b - j*c = -109, c = 2*b - 6*b + 173. Let r = 66 - b. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*p = 265*p - 144*p - 216 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -9717.\nAnswer: 19434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 1:16 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0*a - 1\/2*a**3 + 0*a**6 + 0*a**4 - 1\/70*a**7 + 0 + 0*a**5 + a**2. What is the derivative of b(z) wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -1450111?\nAnswer: 1450111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 - -61. Let l be 1\/5 + (-6)\/a. Factor 4\/5*u**3 + l*u**4 - 2\/5*u - 4\/5*u**2 - 2\/5*u**5 + 2\/5.\nAnswer: -2*(u - 1)**3*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 2. Let s = 1 - 1.4. Let t = -0.3 - s. Which is smaller: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993 (base 16) in base 2?\nAnswer: 10100110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus -3486233?\nAnswer: 3486246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -2, -11 in decreasing order.\nAnswer: -2, -11, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**2\/3 - 2312*j\/3 - 2324 = 0. What is j?\nAnswer: -3, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17277000 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18863 divided by -16\nAnswer: 18863\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l**2 - l + 1. Let g be p(0). What is the first derivative of h + 2*h - 3*h + 2*h - g wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.28 + -5.2401. Round i to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227148 divided by -1.\nAnswer: 227148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 23 + (155 - (109 + 24))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*p*t + 18*c**3*t**3 + 9*c**2*p*t**3 - 3*c**2*p + 3*c*t - 5*p*t wrt t.\nAnswer: 108*c**3*t + 54*c**2*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 5*l + 2. Let u be i(3). Let r = 130 + -129. Suppose 2*c - 3*c = -r, 2*o + 2*c = 6. Solve -8 = o*y + u*q, -q - q = 2*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224697 divided by 370?\nAnswer: 1224697\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6877 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 186110784 and 1156.\nAnswer: 186111940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 18, p: 1}. Give prob of picking 2 l.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1395009429 and -4.\nAnswer: -4.1395009429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/4 and -97\/524.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5472 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3417\/103919 or 0?\nAnswer: 3417\/103919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -71256, -142669, -214230, -285945, -357820, -429861?\n\"Answer: -d**3 - 68*d**2 - 71202*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3972 - -3971.997209. Round x to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1231845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, j: 2, p: 4, e: 11}. Give prob of picking 1 e and 2 p.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 12.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*g + 9. Suppose -x = 5*t + 46, -3*x + 2*x + 17 = -2*t. What is the tens digit of 2\/g*4*t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -79. Suppose -l + 4 = -c*l - 4*q, -2*q = l + 2. Is -23*(-12 + 4) + l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3133309 to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*d - 6*d + 20*d + 6*d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzx when four letters picked without replacement from zfjfxszqfxjzzfj.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14 - (7 + 0 + -10). Let q(s) = 14*s - 8. Let i(o) = -5*o + 3. Determine j*i(x) - 4*q(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -745010, -1490011, -2235012, -2980013?\nAnswer: -3725014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80345824?\nAnswer: 2, 13, 193139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*c - 98*c - 27*c)*(3 - 7 - 1)*(-5 + 3 + 4)*(-2 + 2 + 2*c).\nAnswer: 3240*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 1. Let i(g) = 9*g**2 + 21. Let o(p) = -i(p) - 3*j(p). Differentiate o(k) wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794*j**2 + 744*j**2 + 32*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 7, -4, 2\/5, 0, 0.04 in increasing order.\nAnswer: -4, 0, 0.04, 2\/5, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 208244501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 911 and 2275.58.\nAnswer: 2073053.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 50, 0.6, -12, 3 in descending order.\nAnswer: 50, 3, 0.6, -4\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*s - 12*s - 41*s)*(-4 + 4 - 11)*(-s + 4*s - s) in the form n*s**2 + l + v*s and give n.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 955334 and 952306?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 8*l**2 + 10*l - 1. Let c be j(-9). Let u be 15\/c*(-8)\/3. What is the third derivative of 0*b**2 + b**4 - 3*b**2 - u*b**4 + 0*b**2 wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59579?\nAnswer: 13, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (1 - 0\/3). Suppose -v = -1 - h. Let i(b) = b**3 - 10*b**2 + 10*b - 3. Calculate the lowest common multiple of i(9) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42771 - 5176*b + 42763 - 85532 to w*b + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - 17 - 48 - (-3 + -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -41\/21*y**3 - 6\/7*y + 33\/28*y**4 + 25\/14*y**2 + 1\/21*y**6 - 13\/35*y**5 - 241. Factor g(r).\nAnswer: (r - 2)*(r - 1)**3*(2*r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -9*p + 15, -2122 = -4*t + 2*p. What are the prime factors of t?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**2\/2 - 4*q - 11. Let h(u) = u - 1. Calculate -a(m) + 4*h(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25526*t**5 + 1511*t**4 + 114283987*t**2?\nAnswer: -1531560*t**2 + 36264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 306\/756 + 5\/(-6) + 1. Factor c*l**5 - 8\/7*l**2 + 8\/7*l**3 - 4\/7 - 12\/7*l + 12\/7*l**4.\nAnswer: 4*(l - 1)*(l + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*q + 0 + 0 + 95*q + 150*q - 344*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6929.324 + 6831. Let b = f + 99. Let g = -0.056 + b. What is g rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 298939529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9 = b, -h + 2*b = -3*h. Let u be h - 4 - (1300000 - 1). What is u rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6468996149 to the nearest integer?\nAnswer: 80430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(228) - 2*sqrt(228)*-6)*3*2)\/(6*(sqrt(300) + (sqrt(300) - sqrt(300)*-1 - sqrt(300)))*-6*4))**2.\nAnswer: 3211\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145527.8 at least 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 777 - 4661\/6. Sort -5, h, -43.\nAnswer: -43, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -34*o**2 - 377*o - 370. Determine p(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 9775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let x(o) be the third derivative of -13*o**7\/2520 - 103*o**4\/24 - 2*o**2 + 3*o. Let j(n) be the second derivative of x(n). Give j(v(l)).\nAnswer: -13*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0052930432 to six dps.\nAnswer: 0.005293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 1, m: 2, f: 1, i: 2}. What is prob of picking 1 z and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 18*l + z + 26, -12 = 2*z. Solve -2*t + 12 = -0*t - 5*o, -l*o + 4 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u - 6. Suppose 2 = -3*i - h, u*i + 3*h + 1 = 2*h. What is the first derivative of -k**3 - 4 + 4 - i wrt k?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-264 - 627 - 94 + 143)*(3*y**3 + 4*y**2 - 4*y**2).\nAnswer: -2526*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -18*c - 3. Let m be i(-1). Suppose 5*s + m + 126 = 2*j, 217 = 4*j + 3*s. Let d = j + -35. What is the highest common divisor of d and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1975, -2, 1.4, -0.1, -3\/11, -0.2?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000643472 rounded to seven dps?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36688 is divided by 166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -18\/11 (c) -4\/9 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -14*d**5\/17 - 4294*d**4\/17 - 3056*d**3\/17 + 72*d**2 = 0.\nAnswer: -306, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(18) + 5 + sqrt(72)*-1 + (sqrt(56)\/sqrt(4))\/sqrt(7))**2.\nAnswer: -110*sqrt(2) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*j**5 + (-172*j**2 + 389*j**2 - 72*j**2)*(0*j**3 - 2*j**3 + 7*j**3).\nAnswer: 723*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**(2\/67)*(l\/l**(10\/3))\/(l*l*((l**(-2\/5)\/l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(-651\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -4 (c) -9\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/((-8)\/(-24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*l**2 + 4*l**3 - l**2 - 5*l**3 + 2*l**4 + 2*l**2 as s*l**4 + b*l + m + n*l**3 + u*l**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/5))\/(g\/((g\/g**15)\/g*g*g))*(g\/g**(-1\/24))**(3\/32))**(1\/15) assuming g is positive.\nAnswer: g**(-17027\/19200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 133221?\nAnswer: 133226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddgpdppp. What is prob of picking 1 p and 3 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -80732 not equal to -80735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g*g\/(g*g**(3\/13)*g)*g)\/g)\/(g**31\/g))**(-3\/29) assuming g is positive.\nAnswer: g**(1101\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(12)\/sqrt(150) + sqrt(50) + sqrt(2) + 3 - ((-2*sqrt(50))**2 + (sqrt(6)*1)\/sqrt(3)))*-1*4.\nAnswer: -104*sqrt(2) + 3940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9673 and 463913.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 5*u**2 - u - 1. Let k be o(-4). Let p = k - -27. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 81 - 130*m.\nAnswer: -130*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-91783)\/(-68) + 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*n + 11*s - 9*s, -2*s = -6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98871905*g**5 - 167943006*g wrt g?\nAnswer: 1977438100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaaaaaaaaao. Give prob of picking 3 a.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 91 - (-1 + (1 - 1))*-1?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.69 + 0.49. Suppose 2*x = -2*x - 20. What is the nearest to q in -0.2, x, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 10. Suppose 0 = -0*u - u + t. Suppose 4*l - 5*h + 0 = 15, 4*l = -u*h + 50. Solve -35 = 5*n - l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*6*3. Let n(c) = -147*c**2 - 11*c + 6. Let l be n(p). Let j be l\/(-1)*(-475)\/(-15). Round j to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 19, k: 1}. What is prob of picking 3 o and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77.6 + -65.6. Which is the second smallest value? (a) -0.1 (b) -3\/4 (c) g (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p**4 + 17328610*p**3 + 13862912*p**2 + 2772584*p = 0. Calculate p.\nAnswer: -2\/5, 0, 346573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/((-29)\/87)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 165*x**2 + 3*x + 54. Let g be c(-4). What is the highest common factor of g and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/48564100 and -19\/16.\nAnswer: 194256400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.9 - 801.9835766?\nAnswer: -822.8835766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/3, 2, -5, -30?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 315*g**2*j**3 + 703*g**2*j**2*v + 1097*g**2*j**2 - 1825*j**3*v - 2*j**3 wrt v.\nAnswer: 703*g**2*j**2 - 1825*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1516148 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 1 + u - 3*u**3 + 2*u**3 - 2*u. Let x(i) = 6*i**3 + 5*i**2 + 5*i - 5. Let o be 20\/5 + -1 + -4. What is o*x(v) - 5*m(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3 = -3*y, 5*y + 5 = -20*z + 22*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-2*z + 5*z - z) + z - 3*z + 4*z + z - z + 2*z + (-4 - 1 + 6)*(-3 + 2*z + 3) + 117 - 117 + 20*z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 12*y**2 + y - 159. Let n be p(-13). Sort 2\/11, -21, n, 0.4 in decreasing order.\nAnswer: 0.4, 2\/11, n, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 13421 = -4*y + 1413, 4*y = -4*w - 11992. Round y to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-22)\/((x\/((x*x*x**19)\/x))\/x) assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2447954 - 2*b**2 + 1223955 + 4*b**2 + 1223999.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from qrvqqvvrrrqrvv?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -478005*d + 1154624 wrt d?\nAnswer: -478005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 9*q**2 + 64*q + 7. Let l be x(-7). Suppose 23*t - 2210 - 573 = l. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 414\/336*21) + 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 230, 59\/2, 5, -19, 5\/3?\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*h - 3*j = 2, 0 = -3*h + 5*j + 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 10*f + 16. Let i be w(-11). Suppose -i*j = -j. Let v = 0 - -2. Solve -v*d + 0 = -g + 4, j = -2*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -15 - (24 + -2 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2701 - 2698. Which is the nearest to 0.7? (a) -3\/4 (b) m (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-12)*5\/(50\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -8 + -1 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h = 16*h + 8. What is the units digit of (2 - -24)*3\/(h + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q - 1. Let b(p) = -p**3 - 19*p**2 - 20*p + 25. Let f(u) = -b(u) + 2*h(u). Let k be f(-20). What is the highest common divisor of k and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.56 - -184.56. Let q = u + -82. Let p = 99.0000071 - q. What is p rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15498\/19 - -816. Factor -o*r + 2\/19*r**2 + 4\/19.\nAnswer: 2*(r - 2)*(r - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2. Let l(k) = -9*k - 6. Let j(c) = -8*c - 5. Let w(z) = -6*j(z) + 5*l(z). Determine w(g(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8249 is divided by 2047.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 2*t**3 + 0*t**3)*(-29 - 606 - 1125).\nAnswer: 1760*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 7. Let q be m(-6). Let x be (-6)\/(-12)*(0 + 0). Put x, q, 1 in increasing order.\nAnswer: q, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 570898 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2 - 10816*w + 2909040 = 0.\nAnswer: 276, 10540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*x + 4*x - 4*j + 9*j + 8, 5*x - 123*j = -97 - 430 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -575 bigger than -576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*i = 5635 - 1059 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**2. Let t(h) be the first derivative of h + 36. Let f(z) = -3*z**2 + 18. Let y(x) = -f(x) + 18*t(x). Determine m(y(l)).\nAnswer: 63*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 4. Let k be v(8). Let p = 7 - k. Let t(u) = 5*u**2 - 5*u + 4. What is the tens digit of t(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -8234 + 8210. Solve -21 = 2*o - 3*r - 1, 0 = l*o + r + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 42 = 8*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -66. Suppose -5*n + d = -31. Calculate the lowest common multiple of 44 and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*v - 2*i, -4*v - 3*i = -v - 24. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/6, 2\/5, -2\/9, -2 in decreasing order.\nAnswer: 2\/5, -1\/6, -2\/9, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from lmlllmlmlll.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 + 6*l**5 - l**3 - 2*l - 2*l**5 + (-l**5 + 0*l**5 + 3*l**5)*(1 - 1 - 4).\nAnswer: -7*l**5 - l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((-32)\/(-620)) + (-3)\/2. Suppose 3*a - 295 = -y. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -400.5.\nAnswer: 1201.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, s: 1, q: 4}. Give prob of sequence qs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - -2*(sqrt(243) - (sqrt(243) - (sqrt(243) + 2 + sqrt(243))))) + (sqrt(243) - -5*sqrt(243)*-2))**2 + -3.\nAnswer: -288*sqrt(3) + 3901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2.9, -0.4, -200 in descending order.\nAnswer: 2.9, 2\/7, -0.4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 61 = 26*p - 34*p, -4*p = -5*a - 23. Sort -96, a, 4, -4, 0 in descending order.\nAnswer: 4, a, 0, -4, -96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3474787 to the nearest integer?\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145050 and 64290995.\nAnswer: 4835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -67. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z + 90. What is the least common multiple of l(9) and 7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 - 1589*m - 1592. Let k(j) = -22*j**2 - 11121*j - 11144. Let n(z) = -15*d(z) + 2*k(z). Factor n(s).\nAnswer: (s + 1)*(s + 1592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -73783, -74664, -75547, -76432, -77319, -78208, -79099?\n\"Answer: -h**2 - 878*h - 72904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y*y)**28\/(y**(-9)\/y*y**(1\/6)*y) assuming y is positive.\nAnswer: y**(221\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1876705.7 and 123235?\nAnswer: 1999940.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12226 (base 9) to base 2\nAnswer: 10000000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8 - 4239*o + 8476*o - 4239*o. Suppose -52 = -0*q + 4*q. What is the remainder when b(q) is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3553139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 1059, 2423, 4337?\nAnswer: 6801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 2454 + 484 + 506 + 489 + 493 + 482.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 28*q = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 41. Let h = v + -18.4. What is the closest to h in -1, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m - 46. Calculate the least common multiple of 40 and z(-17).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 14*m**2 + 5*m - 268. Give d(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1178.118138 and -10456?\nAnswer: 11634.118138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1262*p**2 + 20*p - 17. Let b(h) = -2*h**2 + 3*h - 3. Give 6*b(t) - i(t).\nAnswer: -1274*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 100\/36 - (-2)\/9. Let t = q - -5. Let r = -3 + t. What is the highest common divisor of 35 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 78414130 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*v - 3878 - 6088 + 1540 = 0 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -7*o**3\/3 - 3*o**2 - 1. Let p be (-273)\/(-12) - 4\/(-16). Let d = -16 + p. Let w(u) = 8*u**2 + 7*u. What is d*y(z) + 6*w(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -38668.\nAnswer: -38669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29982065 is divided by 14991024?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 12 + 28)*(-4*w - 13 + 13)*(3*w**3 + w**3 - 3*w**3).\nAnswer: -268*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1794 = -3*u + 26*u + 897 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 1829?\nAnswer: -1827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by -1240372.\nAnswer: -50\/310093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 3392772*c + 183221352.\nAnswer: -4*(c - 848247)*(c + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 92*a**2 - 32*a + 893. Is t(-44) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -106, -128, -186, -292, -458, -696, -1018?\n\"Answer: -2*q**3 - 6*q**2 + 10*q - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/154 and -49\/33009838?\nAnswer: 2541757526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3033212121 (base 4) to base 6.\nAnswer: -30120413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:37 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 59*m + 898. What is g(-34)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-39))\/(24\/(-144)*6).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13200 and 3840?\nAnswer: 211200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 22. Let l = 1873 + -1787. Calculate the remainder when l is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*l + 42*l + 18*l)*(10 - 5 - 4) to c + p*l and give p.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4840*t + 1764*t + 556*t - 3625*t.\nAnswer: -6145*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (408\/(-48))\/(1\/(-6)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4*24\nAnswer: 81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:30 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2*14\/(-21)*(-36)\/(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -16. Let y(b) = -b**3 + 19*b**2 - b + 22. Let r be y(g). Suppose r*v + 65 = 4*v. What is the remainder when v is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -7. Suppose -3*b + 5*o = -302, -j*o + 293 = 4*b - b. Is b a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 7. Calculate p(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(150\/(-4))\/(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11115 by 855.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y + 14. What is the units digit of a(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 150 = 3*r. Let w be (5\/r)\/(2\/12). Let a = -55 + 55. What is the closest to w in -1, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 92*x - 957. Let s be m(-30). Solve 990*j = 991*j - s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/8229 and 73\/4524?\nAnswer: 954564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/19)*y*y**(-2\/3))\/(y\/(y*y**(-1\/4)\/y))**(2\/71))**(-3\/20))**(-15\/8) assuming y is positive.\nAnswer: y**(28965\/86336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -51. Let h = o - 21. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 7*b + 2. Let p be l(-7). Let x(f) = f**2 - f**2 + 2*f**2 - f**p. Let h(m) be the first derivative of m**2\/2 - 3. Determine h(x(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1002340 (base 5) to base 13\nAnswer: 7366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/15 + 112*a**2 + 8. Let b(o) = 421*o**2. What is b(c(g))?\nAnswer: 6736*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 1)*(-10)\/4. Suppose 0 = -a*v - 4*q + 7, 5*q = v + q - 11. Solve 0 = 2*f + 10, -v*b + 7 = -0*b + f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27 + 7)*(-2)\/4. Suppose 0 = -4*q + 2*i - i + a, 12 = 4*q - 2*i. Suppose 3*s = 2*d - 4, 4*s + s - 20 = -q*d. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16297761 - 2*b - 16297761.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 24*r**3 - 3*r**2 + 3*r**2.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*(-168)\/1050\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 - 19 - (51 + (47 - 77))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-279*t - 263*t - 279*t + 795*t)*(-4 - 4 + 6) in the form p + w*t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*k**5 - 3551*k**3 - 50221*k**2 - 2?\nAnswer: 1080*k**2 - 21306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 674835830 to the power of 1\/2, to the nearest integer?\nAnswer: 25978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o**2 + 12 - 80*o**2 - 3*o + 92*o**2 - 40*o**4 to the form g*o**3 + q*o**4 + z*o + n + w*o**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2182642 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.8 + 21.1. Let f = 1.9 - 2. What is the closest to f in 1\/7, d, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -j - 3*v + 4, 4*v - 20 = -4*j. Suppose j*c - 28 = -0*c. Suppose 0 = 5*q - 25. Solve 11 = q*n - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 682 and 21142?\nAnswer: 21142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 123036*y - 123054. Determine f(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-2)*(-2)\/7*21\/12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -46199279.\nAnswer: 461992.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 19*b**2 - 86*b - 8. List the prime factors of f(9).\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6692, -3\/2, 2, -44, -6?\nAnswer: -6692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 6*j**2 + j - 6. Give z(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6.4, 3, -26, 0.0015?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 60*h**3 + 152*h**2 - 96*h.\nAnswer: 4*h*(h - 12)*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Let j(v) = 17*v**2 + 11*v - 34. Let o(g) = -9*g**2 - 6*g + 18. Let p(i) = -6*j(i) - 11*o(i). Determine s(p(m)).\nAnswer: 9*m**4 - 36*m**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9 - (-104)\/12. Suppose -2*b = -l - 2. Suppose 0 = -b*g + 298143 - 1093143. Round g to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25 (b) -5 (c) -253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1848, -3\/7, -2\/11, 14\/33?\nAnswer: 1848","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 1275 + 1327 = 0 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 885276 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.091 - -37.909. Let s = 41.8 - h. Let a = s - 0.8. Sort a, -0.1, -2\/11 in increasing order.\nAnswer: -2\/11, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 7*g**2 - 8*g + 5. Suppose 5*p - 5*n = -45, -7 = -3*n + 2. Let z(j) = -j**3 - 5*j**2 + 4*j - 6. Let y be z(p). Determine w(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 - -101. Solve 2*q - 3 = -b*t + t, -2*t = -5*q + 22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3527*l - 668*l + 80052 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhmppmppphpphpp. Give prob of sequence mphh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - x - 155 = 4*x, -4*f = -5*x - 127. Let h be 6\/f*8\/(-4). Let y = -288\/5 + 58. Which is the closest to y? (a) -4 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 87. Let v be z(-12). Let c be 0 - (-12)\/v*(1 + -156). Which is smaller: c or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -144394, -288786, -433176, -577564, -721950, -866334, -1010716?\n\"Answer: p**2 - 144395*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, i: 5, c: 5}. What is prob of sequence idic?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61.992 + -0.008. Let y = t + 61.299. Let u = y - -0.239. What is u rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 12*h**2 + 1 - 11*h**2 - 3*h + 0. Calculate x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -21*j**2 - 67*j - 310. What is a(-7)?\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/5)\/(2\/13220). Suppose -2*f + 3*f - 344 = 0. Let v = s + f. Round v to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -26 - (0 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 81225860 and 0.004.\nAnswer: 81225860.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2.69 * 61\nAnswer: -164.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-1 - -12) + -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6367 (b) -1.3 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (446\/(-540) - 190\/2565)*37\/231 and 81\/154.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-4434330\nAnswer: -35474640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 10:24 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232315\/39 + -5958. What is the common denominator of w and 7\/3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n**(-4)\/n*n)*n*n\/(n\/n**(-3\/2)*n)*n*(n*n\/(n**42\/n))\/(n*n**(-36)) assuming n is positive.\nAnswer: n**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -832?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4132 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**8\/1008 - 2*i**7\/315 - i**6\/60 - i**5\/45 - i**4\/72 + 5*i**2. Find d such that u(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 14. Let d be 14 + x + 3\/(-1). What is the second derivative of 16*g**5 + 9*g + d*g**5 - 3*g**5 wrt g?\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179\/42 - -55\/14. Let l = -1 - 1. Put 1, i, l in decreasing order.\nAnswer: 1, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 50*i - 70. Is u(20) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101030.\nAnswer: 2, 5, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13874, 27708, 41540, 55370, 69198, 83024, 96848?\nAnswer: 110670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*u - 94*u + v + 754, -4*u - 4*v = 616. Let r be 2\/15 + u\/(-750). What is b in -b**2 - 1\/3*b + 2\/3 + r*b**3 + 1\/3*b**4 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 473055.8 litres?\nAnswer: 473055800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2225234?\nAnswer: 2, 11, 41, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91328 + -65192. Is 44 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3728 - -0.9728. Let f = -1 + -2. Let g be f*(11 - 2)\/(-3). Which is the closest to g? (a) 0.2 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = -3*l + 4*h, 5*l - 20 = -h. Solve l*b - 2*b = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:16 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6053487 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 9 + 1. Suppose -5*a - 1 - 14 = 0. Let l be a\/(-2)*(-1)\/6. What is the closest to -1 in -1\/3, q, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314121 (base 6) to base 4\nAnswer: 12033001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 18 = -2*n, 121*n - 15 = 111*n - 5*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2217 to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*k + 497 = -161*k - 343 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(765\/18)\/(-17) - -33. Let w(o) be the first derivative of 16\/3*o**3 + 5\/2*o**2 + 0*o - r. What is the second derivative of w(a) wrt a?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11894665?\nAnswer: 5, 19, 125207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -4 (b) 57\/4 (c) -3 (d) -734\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/21)*o\/o**(-1))**8*(o*o*o**(-1\/3)*o**(-4\/5)*o)\/(o\/((o\/(o*o**(-1)\/o))\/o)*(o*o\/(o**(-3)*o))\/o) assuming o is positive.\nAnswer: o**(547\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5)\/f)**(-7\/2)\/(f**(-2\/7))**(-10\/19))\/((f**(-2\/3)\/f**(2\/5))\/(f**(1\/6)*f**1)) assuming f is positive.\nAnswer: f**(1669\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 13*j**2 + 1\/15*j**5 + 1\/24*j**4 - 1\/60*j**6 + 0 - 1\/105*j**7 - 1\/3*j**3 + 1\/336*j**8 + 0*j. Factor i(o).\nAnswer: (o - 2)*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 2*a + 2*a + (0 + 4 - 2)*(1 - 1 - a) + a - 4 + 4 - 6850*a - 154*a - 6103*a - 577*a + (-3 + 4 - 3)*(a - 1 + 1) + 0 + a + 0 + 6*a - 4*a - 3*a.\nAnswer: -13688*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/((-45)\/12). Let l = -27.364 - -26.4. Let z = l - 0.036. What is the nearest to v in 2, 1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114446 divided by 3?\nAnswer: 114446\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3945 is divided by 57.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -562.\nAnswer: 31\/562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/1020*-6)\/1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6986 - -7133. Suppose -196 = -0*b - 4*b. What is the highest common divisor of q and b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 4)\/((-290)\/696).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 5*v + 25*f - 26*f, -5*v - 2*f = 147 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j. Let o(c) = -2*c. Let h(g) be the first derivative of -2 + 2*g + 1\/2*g**2. Let u be h(-3). Calculate u*d(w) + 2*o(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 32 = 4*g, 93*g + 11 = -5*b + 96*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 22*s**2 - 94*s + 21. Determine z(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y*y**(-5\/8)))\/y)*y*((y\/(y\/(y\/(y*y*y\/(y\/((y*y*y**(-10))\/y))))))\/y)\/y)**(-20) assuming y is positive.\nAnswer: y**(-335\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-618)\/8*(-392)\/147. Let o = -78 + z. Calculate the least common multiple of o and 6.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 180123619 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 228731 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**3 - 364*y**2 - 415*y - 4989. Give s(-90).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -39*d**3 - 2*d**2 - 7*d - 4. Let u(t) = 838*t**3 - 896*t**3 + 12*t**2 - 6 - 15*t**2 - 10*t. Give 7*h(m) - 5*u(m).\nAnswer: 17*m**3 + m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150748\/(-20293)*(-2)\/(40\/14)?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y. Let i(k) = -k**3 + 5*k**2 - 6*k + 6. Let p = -2 - -6. Let z be i(p). Let m(s) = 2*s**2 + 0*s**2 + 1 + 0 - 4*s**2. What is z*b(q) + m(q)?\nAnswer: -2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6062\/66635 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1 = -2*d + 17, 5*w = -15. Suppose -130 = -d*f + f. Is f\/18 + (-4)\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from nngncgcgnqccgqn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 26 = -3*h + 5*z, -72 = -4*h + 4*z. What is the remainder when h is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -41. Let h be 2*(-5)\/x*(-12 - 3). Calculate the highest common factor of 50 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3\/4 - 194241*y**2\/2 - 81481995*y\/4 - 1069017075 = 0. What is y?\nAnswer: -129284, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29116\/101906)\/((2 - 4)\/322).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 1, m: 1, p: 1, q: 1}. Give prob of picking 1 s, 1 q, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -573 divided by -573\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v - 45*v - 686 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 309725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -337 + -119. Let k = -232 - f. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*u**2 + i**2*u - 16*i**2 + 94*i*u**3 wrt u?\nAnswer: -2*i**2 + 564*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/11, -751, -2126?\nAnswer: -2126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -431513 not equal to -431516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 2 - (-166 + 157)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/6)\/((-1)\/2). Differentiate -1 - 6*v + 9*v - r wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a decade in months?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0066786915 to six decimal places.\nAnswer: -0.006679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1911948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 17. What is the least common multiple of (-2)\/3 + (-1136)\/(-48) and c(7)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.54088 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3233212203 (base 4) to base 9.\nAnswer: -1755216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1, 1\/2, 1\/57, 3, 0.923?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**3\/6 - 4*g**2 + 2*g. Let s = -8 - -12. What is the remainder when s is divided by q(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.2 * -79.47.\nAnswer: -1923.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16390 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74916 and 36?\nAnswer: 74916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i**2 + 17*i + 201. Does 17 divide q(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 3*r. Let v(b) = 5*b**2 + 7*b + 1. Determine 3*v(l) - 7*z(l).\nAnswer: l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 3*l**2 - 2*l - 7. Let d be a(0). What is the tens digit of 188\/(d*(-12)\/42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592658, 1185271, 1777884?\nAnswer: 2370497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 66. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = -22*p + 7 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 19. Determine o(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52330285 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*d - 890*d + 8660 = 1222 - 896 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. What is the third smallest value in -4, -2\/15, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111332 (base 4) to base 5.\nAnswer: 21111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 14*f - 4 + 6*f)*(-6 + 7*f + 6).\nAnswer: -28*f**2 - 28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 2*l - 8. Let g be 1 + -1 + l + 0. Let m be (-1 - 11\/(-9)) + (-12)\/54. Solve 0 = a - m - g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1072 - -0.0272. What is the third biggest value in 4, g, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.23, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 421424158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 53*c + 102.\nAnswer: (c - 51)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*o**3*w**3 - 55*o**3*w - 23*o**2*w**3 + 14*w**3 - 110*w**2 wrt w.\nAnswer: -96*o**3 - 138*o**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = y - 2*o - 3, 4 = 2*o. Let r be (-326)\/8 + 3\/(-3). Let n = 42 + r. Which is the closest to -1\/2? (a) y (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5192\/1365 - 321\/70. Calculate the common denominator of b and 29\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/11 - (222\/(-444))\/((-2)\/(-12))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/170 and -131\/4488?\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*h - 12. Suppose -2*o + 6 + 6 = 0. Suppose 5*f = h*f - o. Solve 3*d + 11 = -z, f*d = -5*z - 11 - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7223*y + 57799. Give n(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, 27, 107, 245, 459, 767?\n\"Answer: 3*g**3 + 2*g**2 + 13*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 19*b - 4. What is the lowest common multiple of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 29. Let h = 565 + -557. Let g(c) = -2*c - 19. What is h*g(z) + 5*u(z)?\nAnswer: -z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxy when three letters picked without replacement from {y: 4, x: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822983.\nAnswer: 7, 89, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.12 + 23. Does m = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*k - 29, -4*k + 2*d + 22 = -10. Suppose -k*n + 524 = -8*n. Suppose 0*g + n = 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1248)\/(-27) + (-8)\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u**2 + 0*u)*((-2*u + 2*u - 2*u)*(-1 + 2 + 1) + 228*u + 24 - 229*u + 20 + (-u + 2 - 2)*(-5 + 0 + 3)).\nAnswer: -6*u**3 + 88*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or 942\/5?\nAnswer: 942\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 11. Let f be o(17). Let h(k) = k**2 - 5*k - 7. Calculate h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 137*s + 2707. Let y be j(-24). Which is the biggest value? (a) y (b) 0.2 (c) -3 (d) 0.5 (e) 29\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60358, -145244, -230132, -315022?\n\"Answer: -l**2 - 84883*l + 24526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12793\/(-15015) + (-26)\/(-14) + -1. Do 1 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0673 and -31.12?\nAnswer: -2.094376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -2. Suppose 4*a - j = -0*a. What is the remainder when 33 is divided by -17*(a + -1 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69 or 64?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qllllqllilqqqlqzq. What is prob of sequence lzl?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + 3*sqrt(1584) + (sqrt(550)\/(sqrt(10) + sqrt(10) + 2*sqrt(10)))\/(sqrt(5) + 3*sqrt(30)\/sqrt(6)))**2.\nAnswer: -2885*sqrt(11)\/8 + 3668619\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 0, -5, 1, 1.02523 in descending order.\nAnswer: 1.02523, 1, 0, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + 23. Suppose -53 = 2*o - n. Solve 6*h - o*h - 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135 + 11 + 21)*(0*a - 2*a + a)*(1 + 2 - 1).\nAnswer: -334*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204 - -327. List the prime factors of r.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 6:11 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, -19, -32\/17, -2 in descending order.\nAnswer: 140, -32\/17, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50909957 at least 50909953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 8*g + 12. Let r be o(5). Let x = 31 - 56. Is -3*(x\/r)\/(-5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -2 - (2 + -8). Suppose -4*c - 77 = -3*f, -f - 32 = -2*f - r*c. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - n + 13 = 0, 1920*n - 30 = -3*t + 1915*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*f - 10*f - 229*f + 78*f + 85*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1630.2 + -1630. What is the nearest to -1\/14 in n, 1, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22*18 - (52 + -41). What is the greatest common divisor of 35 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = a + 3*a - 4*b, -a + 3*b + 14 = 0. Let s = -7 + 11. Let h = -4 + s. Solve h = -a*u - 3 + 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121130020 (base 4) in base 7?\nAnswer: -612535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-105)\/(-33) - 3) + 17398\/22.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.166521 to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8360?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-10\/11)\/(x\/(x\/x**4)))**(3\/19))**(-1\/29) assuming x is positive.\nAnswer: x**(162\/6061)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**2 - 8055*x + 2899710 = 0?\nAnswer: -1914, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 113*g - 1014. Let n be s(9). Solve n*c - 3 = -4*q + 22, -3*c + q + 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -437, -859, -1269, -1661, -2029, -2367, -2669, -2929?\n\"Answer: f**3 - 429*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*g = -221*g - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -7*l**2 + 0*l**3 - 7\/12*l**6 - 13\/4*l**4 + 0*l + 0*l**5 + 2. What is the second derivative of i(n) wrt n?\nAnswer: -420*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 799 = 2*v + 4*l, 3*v - 3*l - 792 = 0. Suppose -14*b - v = -19*b. List the prime factors of b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, 330, 1211, 2922, 5739?\n\"Answer: 46*c**3 + c**2 + 2*c - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112877, -225647, -338347, -450977, -563537?\n\"Answer: 35*f**2 - 112875*f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -115*l**5 - 5260*l**4 + 5720*l**3 + 15550*l**2 - 26645*l + 10750 = 0.\nAnswer: -1075\/23, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64664595 to the nearest integer?\nAnswer: 8041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1396, 2, -4.\nAnswer: -1396, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 891362.6kg?\nAnswer: 891362600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/4*298\/(-447)*46?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 12. Suppose -r*t + 3*h + 20 = 7*h, t + 5*h = 25. Suppose t = 2*u - 380 + 62. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30436?\nAnswer: 2, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -199 - 1523. What is the closest to 1 in p, 4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzp when three letters picked without replacement from zppm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3 - 233\/(-78)). Let z be -4 + 2 + 6\/3. Suppose 3*t = -0*t + 3*x + m, 5*x - 25 = z. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h*v**2 + 5212492*h - 4790697*v**2 - 12 wrt v.\nAnswer: -8*h*v - 9581394*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -16. Let k = 6 - 4. Suppose 0 = -2*b - k*b + 380. Calculate the remainder when b is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 12*l**2 + 2*l. Calculate the remainder when 118 is divided by h(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 + 145 = 3*r. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1111469*s**2 - 77*s - 81*s + 1111470*s**2 + 65.\nAnswer: s**2 - 158*s + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 + 322. What is the remainder when a is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 3:37 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 478627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/4 - l**2\/2 - 3961. Suppose 3*z - 6*z = -15. Let t(r) = 7*r**3 + r - 1. Determine z*x(w) + t(w).\nAnswer: 2*w**3 - 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29823236 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001238741 rounded to 7 dps?\nAnswer: -0.0001239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g - 4*g)*(17*g - 47*g - 42*g)*(2 - 2*g - 4 - 3)*(-2 - g + 2).\nAnswer: 144*g**4 + 360*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16354211 is divided by 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16630 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-4*n - n - 3*n)*(1 - 3 + 4 + 1 - 2 - 1 + (-5 + 3 + 0)*(-4 - 1 + 7) - 1 - 2 + 4 + 4 + 2 + 1).\nAnswer: -64*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3433, 5461, 6087, 5311, 3133?\n\"Answer: -701*k**2 + 4131*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46214982 by -2.\nAnswer: 23107491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/60 + g**4\/4 - 10*g**3\/3 - 3*g. Let c(b) be the second derivative of k(b). Let o(s) = -s - 5. Give 2*c(z) + 3*o(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 558 - 4413\/8. Let i(g) = -g**3 + 20*g**2 + 71*g - 1028. Find the common denominator of i(21) and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 8. What is the units digit of o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:51 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4074?\nAnswer: -1\/2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.96 and -0.09.\nAnswer: 2.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.72 + -373.72. Let s = t - -374.61. What is s rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298272809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 29172.\nAnswer: 58344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**25\/x)\/x*x**(-14)\/x*(x**24\/x*x)\/x**(-1\/3))**(-40) assuming x is positive.\nAnswer: x**(-3880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**4 - c**3 + 7486*c**2 - 1262613?\nAnswer: -12*c**3 - 3*c**2 + 14972*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 10*p**2 + 21*p - 13. Let b be x(-6). Solve 12 = u - 5*a, 3*u + b = -a + 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 10:59 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/15)\/(a*a**(-1\/6)*a)*(a**(-1)\/a)**(-3\/29) assuming a is positive.\nAnswer: a**(-433\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143863*i - 293429*i + 149586*i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1428 and 476?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 + -10. Let h = x - 116. Solve 0*c - c - h*m - 17 = 0, -5*c - 2*m = -5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b - 25*b + 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 5. Let a be k(-10). Let z = a - 22. Let y be (-1)\/z - 14999999\/3. Round y to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106936 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b, 5*q + b + b - 15 = 0. Find the second derivative of -3*a**5 + 3*a**5 + 6*a + q*a**5 + 0*a**5 wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/40 + j**5\/60 - 20*j**2 + 16*j + 8. Let o(z) = 6 + 2*z - z - 2*z. Let q be o(5). Determine u(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -17. What is the nearest to 0.1 in y, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 678831114+-1\nAnswer: 678831113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 1.08?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -14 + 4 - 2*l + 5*l. What are the prime factors of s(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3703746264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 33*i**2 - 13. Let w(o) = -47*o + 47*o + 3 - 8*o**2. Let t(u) = 6*f(u) + 26*w(u). Let v(b) = 4*b**2 + 16 - 16. What is v(t(j))?\nAnswer: 400*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/2 - v**3\/3 - 3*v**2\/2 - 8*v - 1. Let t be m(-7). What is t rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247*m**5 + 5*m**3 + 3170*m**2 wrt m?\nAnswer: -14820*m**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 235.97855 - -0.07145. Let t = b + -231. Let m = t + -0.05. What is the third biggest value in -0.4, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -13*q**5\/20 + 5*q**4\/6 - 14*q. What is the third derivative of f(d) wrt d?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1158\/1040071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**9\/504 + o**5\/5 + 5*o**2 + 32*o. Let k(d) be the first derivative of p(d). Find the third derivative of k(x) wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 19) + -14 + 8 + 2 + -49?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-six fifths of a millimeter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*f + 99*f - 441 - 879. Let m(g) = g**2 - 8*g + 8. Let s(w) = w**3 + 3*w**2 - 6*w - 1. Let u be s(-4). Let i be m(u). Are f and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77138\/7 or -11020?\nAnswer: -77138\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b - 25. Let m be (-4)\/b + (-4)\/10. Let k = m - 11\/15. Sort k, -0.2, 3\/7.\nAnswer: k, -0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5930025 bigger than 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 47*l - 135 = 0. Suppose 12 + l = 21*p. Solve -p - 23 = 6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdprl. What is prob of picking 1 r and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 5*x + 11, 115*n + 5*x = 113*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3071546 greater than or equal to -3071547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -21.1706?\nAnswer: -21.5706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129502 is divided by 2755?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -283468, -283477, -283486, -283495?\n\"Answer: -9*b - 283459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 1. Let p be y(2). Let c be 2\/(4*p\/(-72)). Suppose 0 = 4*k - c, 0 = -5*v + 3*k + 133 + 23. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 665 = -0*f. Find the second derivative of 0 - f*x + 147*x - 14*x**4 + 0 wrt x.\nAnswer: -168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0347 (b) -2\/9 (c) 1\/5 (d) 2\/3 (e) -77 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12059040 divided by -57424?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43156188 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -209 smaller than -213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-108)\/(-84) + (-968)\/693. Which is the nearest to -1\/2? (a) 6 (b) s (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 61724176 = 17124152. Let k = -2401578 - 2239810. Let g = k + t. What is g rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -598633.319 and 116.4.\nAnswer: -598516.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**4\/24 - j**3\/6 + 13*j**2 - 2*j. Let r(l) = -9*l + 4. What is 6*o(f) + r(f)?\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 7*q**2 + 9*q. Let s be p(-5). Suppose s*a + 155 = 2*u, 0 = -u + 5*a + 8 + 82. Is u a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 7:15 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -269076 + 144276. Round u to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (5 + -10) - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/53))\/(w**9\/w))\/((w*w**(-1)*w*w)\/w)**(-2\/65) assuming w is positive.\nAnswer: w**(-23879\/3445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -387 - (-8 + 7 + 0). Let f = 384 + n. Which is the nearest to f? (a) 5 (b) -3 (c) 3\/4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 3*w**2 + 0*w**2)*(-25*w - 21*w**2 + 25*w).\nAnswer: 42*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s = 4*n + 11, -7 = 4*s + 5*n. Let q(k) = k**3 + 3*k**2 + k + 3. Give q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317393 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -472 - -255. Let j = o + 386. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20569, -34960, -49351, -63742, -78133?\nAnswer: -92524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 28*x**3 + 63*x**2 - 63*x**2 + 5*x**3 - 107*x**3 - 1 as m + u*x**3 + w*x + j*x**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -350, -2\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/36558 and 71\/4990844?\nAnswer: 134752788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 - (-7 + 8)) - -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67345157 is divided by 970?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 269 = -353. What is the greatest common divisor of 2772 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (84\/35)\/((-2)\/(-10)). Let s be w\/30 + (-88)\/(-5). Suppose x + s = 4*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 z when four letters picked without replacement from vzvzzzzzfzfvzzzzzz?\nAnswer: 143\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13861, -53400, -119299, -211558, -330177, -475156, -646495?\nAnswer: -844194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 + 14*m**2 - 12*m - 14. Is 10 a factor of c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2443322, -4886643, -7329964, -9773285?\nAnswer: -12216606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((2*sqrt(1728) - sqrt(1728) - sqrt(1728)) + sqrt(12))\/(sqrt(30)\/(sqrt(5)*1)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -48*d + 1497. Let j be c(31). Sort -2\/15, j, 4 in ascending order.\nAnswer: -2\/15, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 1556?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/65? (a) 0.3 (b) -0.5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 286777 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Simplify ((sqrt(18)*-3)**2 - (sqrt(2) + (sqrt(6)\/sqrt(48))**2))*-4.\nAnswer: -1295\/2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38542822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -3. Let j(p) = -3*p - 3. Let f be j(x). Let w(c) = c**3 - 2*c**2 + 3. Let r be w(f). What is the greatest common divisor of r and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 2. Does 8 divide r(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 2:02 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 108 = 5*v, m - 20 - 16 = 4*v. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -533*k - 3311 - 8415 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 2. Suppose -9*q = -4*q - 10. Let z(u) = 1 + q - 2 + 0. Give -c(l) - 3*z(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6849 (base 11) in base 12?\nAnswer: 5267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 5*d**2 - 2*d - 3. Let a(j) = j**2 + j - 1. Give 5*a(y) - f(y).\nAnswer: y**3 + 7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15323.\nAnswer: 7, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46515.\nAnswer: 3, 5, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 1 + 30 - 13 - 9783*s.\nAnswer: -9783*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*k = -2*a - 269, -3*a + 3*k + 801 = 0. Suppose 0 = 5*r - w + 25 - 439, -5*w = -3*r + a. Suppose x - r = -22. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2\/2 - 150*z - 305\/2 = 0. What is z?\nAnswer: -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 1\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1983, 152, -5.\nAnswer: -5, 152, 1983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 6. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 42 = 5*h, 3*h - f + 5*f - 39 = 0. Suppose w = -2*w + h. Suppose -8*k = -4*k + w*t - 35, k - t = 0. Solve -2*j - k = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 377*n - 8173.\nAnswer: -(n - 1486)*(n - 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/11, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334939043, 669878084, 1004817125?\nAnswer: 1339756166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9263 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: b\"What is the xth term of 9758, 39117, 88038, 156515, 244542, 352113, 479222?\n\"Answer: -x**3 + 9787*x**2 + 5*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107713?\nAnswer: 107713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-52) + (2 + -5)*(-6)\/(-6).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -506763? (a) 20 (b) 0.13 (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1014 divided by -1.\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95409609.\nAnswer: 3, 31803203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 2\/19, 1\/202, -17?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 5*r**2 - 4. Let a be s(5). Let z be (-4)\/6*(-24)\/a. Let i(y) = 3*y**2 - y + 3. Is i(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f - 8 = -29*f. Suppose 0 = f*q - 2*q + 4*q. Suppose 21*r - 22*r + 16 = q. Calculate the highest common divisor of 288 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c9ca2 (base 13) in base 2?\nAnswer: 1011001000001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073228131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8795614123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(405))**2 + sqrt(405))*4*2*2 - ((sqrt(80) + (0 + sqrt(80))**2*-4 - (1 + (sqrt(80) - (sqrt(80) + -1)) + sqrt(80))) + -4).\nAnswer: -432*sqrt(5) + 6870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-18))\/((-37)\/(-1332)*132)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/18987 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2336577, -2336684, -2336781, -2336862, -2336921, -2336952?\nAnswer: -2336949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4302*u = 4306*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1499, 1684, 2193, 3194, 4855?\nAnswer: 7344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 h, and 2 i when four letters picked without replacement from rrehrhhrhhhrhrieihr?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 2*j + 3*j - 4 + j**2. Let l be 2\/((4 - 2) + -1). Let u(x) = 3*x - 5 + x**2 - x**l + 2*x**2. Give -3*t(d) + 2*u(d).\nAnswer: d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7174, 7309, 7452, 7603, 7762?\nAnswer: 7929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-4))\/((-1)\/(-24)). Calculate the common denominator of 67\/4 and 439\/q - 2\/9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -882086.0111 - -881935. Let j = 151 + n. Round j to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**4 + 5*g**3 - 11*g**2 - 51*g + 5. Let b(y) = -y**3 - y**2 + 2*y. Let n(l) = 5*b(l) + m(l). What is the second derivative of n(f) wrt f?\nAnswer: -48*f**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/36 + 4*c**3\/27 + c**2\/18 - 4*c\/9 + 2. What is m in b(m) = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 4*w**2 - w - 3. Let d be l(3). Suppose 5*c + 3*z = d, -4*c = -c + 5*z + 11. Suppose -5*h + 90 = c*f, -f + 0 = -5. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-35) + 58466\/489335?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6*-2*-3. Let n(z) = 2*z**2 + 0*z**j + 4*z**2. What is the remainder when 11 is divided by n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a. Suppose a*r + g - 85 = -5*r, 51 = 3*r + 4*g. Suppose 5*x - 4*x - 9 = 0. Calculate the remainder when r is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmmwmmwmmwmw. What is prob of sequence mww?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -3*r - z + 2122, -2146 = -3*r - z. Suppose c = 4453 - r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1788, -1786, -1784, -1782?\nAnswer: -1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/83 + 269\/332. Let k be (-4)\/6*(-30)\/4. Suppose 0 = -0*i + k*i - 25. Put i, t, 1\/8 in descending order.\nAnswer: i, t, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.2 (b) 2\/11 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 0*o - 3*o = 2*o + 15, 2*o = 5*i + 29*i + 96 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -787786 + 155766. Let s be 48\/(-28) + (-2)\/7 - y. Suppose -100982 = -10*f + s. What is f rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 23. Let a be j(-7). Suppose 5*u - 9 = -4*d - 0, -d = -3*u + 19. Sort -5, a, -3, d in descending order.\nAnswer: a, -3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9*f - 5*f + 4 = 0, -4*u + 1 = -f. Are u and 13\/76 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0*q - 49*q**2 + 0 + 0*q**3 + 1\/2*q**4. Calculate the remainder when c(1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 8?\nAnswer: -29\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p. Let h(d) = -d**2 + 18*d + 2. Give h(q) - 2*k(q).\nAnswer: -q**2 + 20*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 0*h + h**2)*(h - 7*h + 3*h) + 4*h**3 + h**3 - 4*h**3 + 2*h**3 - 5*h**3 + 2*h**3 as n*h + f*h**3 + z*h**2 + m and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + sqrt(72) + 3)**2 - (-1 + sqrt(200))**2.\nAnswer: -64 + 68*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, v: 8}. Give prob of picking 2 v.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 6*b + 3. Let l be o(2). Let s = 1131 + -1023. Let t be s\/(-60)*l\/3 + 3. Solve 3*g = -2*n - 0 + 1, -2*g + 2*n = t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 664*w**3 - 1141*w**2 - 8*w + 2. Let l(h) = 665*h**3 - 1142*h**2 - 12*h + 3. Let t(n) = -2*l(n) + 3*u(n). What is the third derivative of t(f) wrt f?\nAnswer: 3972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -54. What is the tens digit of (-15)\/(-2 + 76\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c07 (base 16) to base 10.\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*n - n. Let j = 7 - 1. Let l = j - 4. Solve -3*r = c - n*r + 10, -l*c = 2*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6196.35 - -6070. Round n to the nearest integer.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 12. Let a be i(8). Let f = -12 - a. What is the second biggest value in 5, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 114, 8\/9, -21, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c2d7 (base 14) to base 10.\nAnswer: 264005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 - w**4 + 8*w**3 + 12*w**2.\nAnswer: -w**2*(w - 3)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20514013?\nAnswer: 13, 1578001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 3*y - 3*y)*(0 + 2*y**2 + 0) - 11*y + 2*y**3 - 4*y + 5*y + 0 + 0 - 13*y**3 to v*y + o + g*y**2 + u*y**3 and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -r + 14, -5*l + 6*r - 10 = r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -1, -2, 6 in increasing order.\nAnswer: -2, -1, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n - 8. Let k(t) = -25*t + 21. Let d(l) = 14*g(l) + 4*k(l). Let i be d(3). Solve p = -i + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1.6. Let g = -1.1 - l. Sort g, 0.2, 1 in decreasing order.\nAnswer: 1, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -9) + -5 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 + 336 = -130*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1*3\/2*16\/48\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4577 minus -7.416542688?\nAnswer: -4569.583457312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444052 (base 7) to base 16.\nAnswer: 131a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -145536 (base 7) to base 9\nAnswer: -42853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 13 = 5*n, -5*n + 4*m = m - 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6545 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**3 + 54*l**2 - 54*l**2.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.679698271 rounded to four decimal places?\nAnswer: 0.6797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 194, 8 in ascending order.\nAnswer: 8, 82, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 4*x + 6. Let g(j) = j + 1. Let q(p) = f(p) - 4*g(p). Let b(a) = -4*a**2 - 7. Suppose -5*r + 14 = 124. Calculate r*q(s) - 6*b(s).\nAnswer: 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:33 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)\/w*w*w*w\/w**(-2\/35))\/(w**3)**(-1))**(3\/19) assuming w is positive.\nAnswer: w**(216\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 - 4*y**3\/3 + 5*y**2\/2 + 2*y + 2. Calculate the remainder when 87 is divided by k(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*1 + 1)*-2 - ((0 + sqrt(1584))*5 + (sqrt(1584) - -1*sqrt(1584)*-2)))**2.\nAnswer: 288*sqrt(11) + 57028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 0*t + 0*t**2 - t**2 + t - 2. Let u(q) = -q**2 + 10*q + 9. Let b be u(7). Suppose 13*y = 3*y - b. Determine a(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -3 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 132.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((2 - 2) + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**4 - 2*g**3 + 380*g**2 + 14*g - 80 wrt g?\nAnswer: -48*g**2 - 12*g + 760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2540253*n**2*r**2*z**3 + n**2*z**3 - 10*n*r**2*z + 2*n*r - 7007*n*z**3 - n*z wrt n?\nAnswer: -5080506*r**2*z**3 + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 2*o**3\/3 - 2*o**2 + 3*o + 1. Let p be s(2). Solve b - p*b + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4\/8 + 15891*h**3 + 730407*h**2 + 9080148*h + 15365790 = 0?\nAnswer: -42330, -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3223 - 3223. Solve 0 = -w - 4*g - 12, l = -w - 2*g + 3*g - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 576 = -6*k. Suppose 72 = 17*s - 13*s. What is the highest common divisor of k and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -309, -627, -945, -1263?\n\"Answer: -318*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**15*r))**(-22)\/(r*r\/r**(-30)*r*r*(r\/((r\/(r\/((r*r**(12\/11)\/r)\/r))*r)\/r))\/r) assuming r is positive.\nAnswer: r**(3499\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 c when three letters picked without replacement from {f: 6, t: 1, c: 4, g: 1, o: 3, i: 1}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, n: 5, i: 3}. Give prob of sequence inn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 3*l**2 + 13*l + 6. Let u(k) = k**3 + k**2 - 6*k - 3. What is -6*r(t) - 13*u(t)?\nAnswer: -t**3 + 5*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 583116 by -2.\nAnswer: -291558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.081342 millilitres?\nAnswer: 0.009081342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6\/r*r**1*(r*r**(2\/7))\/r*r**(-1\/9)*r assuming r is positive.\nAnswer: r**(452\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.74, -2.15, 1\/6, -2.1, 0.2, 1 in descending order.\nAnswer: 2.74, 1, 0.2, 1\/6, -2.1, -2.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/2881 and -15\/739.\nAnswer: 2129059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -12, 6\/5, 0.4, 9\/5, 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (266*m - 3 - 1 - 233*m - 151*m)*(2*m + m + 0*m).\nAnswer: -354*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 2:20 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 1, 2412, 5 in decreasing order.\nAnswer: 2412, 6, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.39 * 2.\nAnswer: -2.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 675*b + 189 wrt b.\nAnswer: 675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = l + 8, -7*l + 4*g = -9*l + 8. Which is the nearest to -0.7? (a) l (b) 5 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, -14, 42, 19 in descending order.\nAnswer: 128, 42, 19, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -168 + 9?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4971 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -198cb?\nAnswer: 198d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*a + 4 = -62*a, -12 = -k - 4*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -65 + -3 + 30.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.57 - -34.57. Which is the third biggest value? (a) q (b) 2\/9 (c) -37 (d) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvtkkvk. Give prob of sequence ktvv.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9643, -9600, -9557?\n\"Answer: 43*y - 9686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -545804.603 rounded to the nearest one hundred?\nAnswer: -545800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.0976 (b) 0.3 (c) 146 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14868 = -o + 3*o - 3*c, -2*c = 3*o - 22302. Let b = -74269\/10 + o. What is the common denominator of b and 93\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 54406749.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 728.6 to the nearest 10.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + k + 107, k = -5*x - 0*k + 113. Let s = 49 - x. What is the remainder when 79 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 33?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2708, -3546, -674, 7762, 23616, 48742, 84994?\nAnswer: 134226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464 - 464 + 134*z + 262*z - 524*z.\nAnswer: -128*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 1558574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -50*((-1)\/2)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -979 - 814 + 3 + 4*x - 1463 + (-1 + 1 - 2)*(4*x - 3*x - 2*x).\nAnswer: 6*x - 3253","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose -r*j + 6*p - 3*p + 9 = 0, -4*j - 6 = 2*p. Suppose 2*o - 1 - 21 = j. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6912, -7005, -7100, -7197, -7296?\nAnswer: -7397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2 = 0, 3*p = -2*y - p - 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12039, 43070, 94795, 167214, 260327, 374134, 508635?\n\"Answer: 10347*o**2 - 10*o + 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -159 and 0.659287858957.\nAnswer: -158.340712141043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6*w + 0)*(2 + w**3 - 2) - 450*w**2 + 450*w**2 - w**4 + w to q + c*w**3 + y*w + h*w**4 + k*w**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 13\/(117\/495) + 4\/(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 3*o + 50, -3*p + 7 - 25 = 3*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 1172858?\nAnswer: 1172859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-3 + (-7 - 343\/(-35))). Suppose -c + 79 - 15 = -u, 5*u = 25. Let x = n - c. Solve i = 5*i + v + x, 2*v = 4*i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285 + 55. Let y = -337 + u. Solve -y*n + n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 800009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*m + 2 + (-2*m + 0*m + m)*(-4 + 3 - 2))*(3127 - 3127 - 364*m) to the form i + a*m**2 + g*m and give a.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (328 + 117 - 188)*(0 - 5 + 4)*(a - 2*a + 0*a).\nAnswer: 257*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 4*o + 0*o)*(3 - 4 + 4)*(98*o + 97*o - 7*o + (2 - 2 + o)*(2 - 4 + 0)) to r*o**2 + a*o + g and give r.\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -4 + (-8 - -5). Sort -3, 6, g, -5 in descending order.\nAnswer: 6, g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let p(u) = 5124*u**2 - 1. Give p(g(c)).\nAnswer: 5124*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -498*x + 583*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28225203 and -1?\nAnswer: 28225203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (51 - 169 - 83)*(d + 2 + 2*d - d)*(-4 + 1 + 8) as n + x*d and give n.\nAnswer: -2010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10 = -3*r + 8, n = -3*r + 6. Suppose 5*z - x - 59 = -15, -r*z - x + 28 = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59.2 - 59. Let s(j) = 18*j**3 + j + 1. Let l be s(-1). Let f = -58\/3 - l. What is the biggest value in w, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 1851*y**2 + 8 + 5161*y**2.\nAnswer: 7012*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -1\/4, 750, -2, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 8959784*h - 10034716165832.\nAnswer: -2*(h + 2239946)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6*m = 0. Suppose 2*b - 6 = m, 3*w + 2*b - 3*b = 33. Suppose 3*u - 150 = -2*u. Calculate the highest common divisor of w and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655642 to the power of 1\/2, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37859750?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**2\/2 - 10. Let c(l) = -40 + 40 - l. Calculate c(w(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 + 2*i + 7. Let j be (-148 - -143)\/(5\/4). Calculate z(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -178, -185, -192, -199?\n\"Answer: -7*m - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.529569 and -8.08?\nAnswer: 4.27891752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5575, -11146, -16717, -22288, -27859?\n\"Answer: -5571*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-3)*(-4)\/((-24)\/(-45)). Let g be 16\/j*(-1 - 7\/(-2)). Solve 0 = -l + g*h - 3, 0 + 3 = -l + 3*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 12695907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000737 to six dps.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -11, -9, -7, -5?\n\"Answer: 2*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 923343 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2*i + 2*i**3 + 0 + 3*i**3 + 42 + 25.\nAnswer: 5*i**3 + 2*i + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77523449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1573 + -1568. Put -3, 2, 0, -4, l in descending order.\nAnswer: l, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = 3*l, i + 15*l - 13*l - 4 = 0. Which is the third biggest value? (a) i (b) -0.06 (c) -6\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 1. Let r(b) = -4742389*b. Give g(r(f)).\nAnswer: -9484778*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(80) + (6*(0 + sqrt(80)) - sqrt(80)))**2 + -1*sqrt(80) + -1 + -1.\nAnswer: -4*sqrt(5) + 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 1, l: 1, x: 1, v: 1, c: 2}. Give prob of picking 1 d, 1 w, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 686 and 5782.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -11. Let z be (8\/y)\/(2\/(-3)). Solve p = -0*p - 4*v - z, 4*p + 3*v - 5 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -20*s**2 + 3*s + 4. Let m(f) = -f**2 + f + 1. Give -2*j(q) + 6*m(q).\nAnswer: 34*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52011*z - 52001*z = -70 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 7798*z - 117177. Calculate v(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30103496 a multiple of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82 - -11a?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 417.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 120 = -7*i, -2*i - 101 = -0*i - 6*i + m - 46 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128701343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - 2*v**2 - 5*v. Let j(k) = -6*k**3 - 6*k**2 - 14*k. Suppose 3*m = -2*t - 50, 12 = -3*m + m + 4*t. Determine m*s(z) + 5*j(z).\nAnswer: -2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = -4. Find the common denominator of -4\/7 and (-1)\/u - (-4354)\/(-840).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 6, -7, 5 in ascending order.\nAnswer: -7, -4, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 96?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from jjsyfjsffs?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-806 + -2)\/(0 - 2) is divided by 102?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/(-24))\/((-2)\/6). Suppose -2*k = 2*k - 4. Find the common denominator of -53\/18 and k + 10 + (-1)\/i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/9)\/o*o)\/o)\/o)**(-3\/10)\/(o\/(o*o**12*o))**47 assuming o is positive.\nAnswer: o**(9173\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102200 + 12?\nAnswer: -102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, i: 7, u: 1}. Give prob of sequence aii.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*d - 32 = 0, p - d + 12 + 10 = 0. Let t be (-2)\/(p\/(-63))*-8. Suppose 2*z - t = 5*i, -2*z = 3*z - 4*i - 139. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3247, -12957, -29135, -51781, -80895?\n\"Answer: -3234*i**2 - 8*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*a**2*l**2 - 859*a**2 + 2*a*l - 86*a - 709445*l**2 - l wrt a.\nAnswer: -58*a*l**2 - 1718*a + 2*l - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-532)\/(-80)*452 - 8\/10?\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/70*33*585\/324324.\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-50)*30\/(-135).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 28 = -2*x, -13*x + 3*s = -14*x. Solve 3*i - 2 = -5*h + i, 5*i + x = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*q + 3548 + 4 = 7*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -1. Let a = -278 + 282.79. Let s = a + 0.21. Put h, -5, s in decreasing order.\nAnswer: s, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-2 + 13 - 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/9 and 11\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d + 0*d + (-3*d + 4*d - 3*d)*(-8 + 2 + 2) + 0*d + 3*d - 4*d)*(1 - 2 - 1).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -91, -155, -219, -283, -347?\n\"Answer: -64*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 291328 - 145899 - 145429.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**5\/5 + b**2. Let s = 601 - 588. Let j(a) = -36*a + s*a + 20*a. Determine w(j(f)).\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -713*-61166.\nAnswer: 43611358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -23\/8 (b) -0.1 (c) 0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9128, -36449, -81984, -145733, -227696, -327873, -446264?\nAnswer: -582869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14969*n - 14966*n = 18234. List the prime factors of n.\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*w = 1, 2*f + 4 = 3*w + 1. Is f\/(-4) - (-56411)\/76 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2 (b) -35 (c) 6.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1954\/3 + -13616\/21. Let l = -44175 - -2915611\/66. Calculate the common denominator of p and l.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 - 4*m + 3. Let n be r(4). Suppose y = -10*y + 627. What is the highest common factor of n and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d + 2*d + 2*d)*(0 + 2 - 3)*(3*d - 4*d - 5*d) as z + p*d**2 + c*d and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1*-4 - sqrt(17)) + (-4*sqrt(153))**2 + 1.\nAnswer: 3*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 305.99999066 + -306. Round d to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 r when four letters picked without replacement from arwreawae?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -455, -676, -893, -1106, -1315?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -27900404\/53 at most as big as -526424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, 0.06, -0.06?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/40 - u**5\/15 - 5*u**4\/24 - u**3\/2 - 4*u**2 + 434*u + 1. Give f(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35645, -71233, -106707, -142007, -177073, -211845, -246263, -280267?\nAnswer: -313797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, j: 3, y: 5, z: 5, w: 1, b: 2}. Give prob of picking 2 j.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121558607?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -368*s + 2194. Determine y(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y - 3. Let k(z) = 11*z + 6. Let t(w) = -6*k(w) - 10*o(w). Let a = 131 + -147. Let d(q) = 2*q + 2. Give a*d(s) - 5*t(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**4 - 3*y**4 - 2*y**4 + (-2*y**3 - 3468*y + 332*y**2 + 3468*y)*(-2*y - y + 2*y).\nAnswer: 3*y**4 - 332*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/((-20)\/270). Let y(x) = x**2 + 8*x - 2. Let d be y(f). Calculate the greatest common divisor of 63 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*s + 6, 4*o - 2*s + 0*s = 10. Let c(b) = -1 - 9*b - o + 4. Is c(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/11))**(-11\/2))**30 assuming t is positive.\nAnswer: t**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + 5*d - 13*d**2 + d - 7*d - 8 + 2*d in the form f*d + z + a*d**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1118 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/30)\/(159\/(-103350)*-455)?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c*(c\/c**(2\/21))\/c))\/(c\/((c*c**(-2\/5))\/c)))\/((c*c*c**(-2))\/((c\/(c*c**4\/c))\/c)))**37)**(1\/4) assuming c is positive.\nAnswer: c**(-12247\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/4 (b) -1\/2 (c) -47\/3 (d) -6\/7 (e) 10.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*-2 + (sqrt(125)*4 - sqrt(125))**2 + (-4*(-4 + sqrt(80)))**2*-5 + 2.\nAnswer: -6553 + 2554*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 45\/150*5 - (-1 + 2 + 2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774244 is divided by 110606.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19578429 divided by 1053.\nAnswer: -18593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**3 - a**2 + 5*a + 2. Let s(i) = -i**3 + i + 1. Suppose -6*o + 5 = -11*o. Determine o*g(n) + 5*s(n).\nAnswer: 2*n**3 + n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 9*b**2 - 7*b + 6. Let h(w) = -7*w + 172. Let d be h(25). Let o be t(d). Let y be 2 + (1 - (3 + -2)). Solve o = -s + y*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6030 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 122, -43, 4, -3 in increasing order.\nAnswer: -43, -3, 2, 4, 6, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -11*w - 61. What is v(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -2 + 0*s**2 + 14\/3*s**3 + 0*s. Let w(l) be the second derivative of l**3\/3 - 8*l. What is w(q(b))?\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fggffffgffffgggfgff. What is prob of picking 3 f?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2138? (a) 3\/2 (b) 1 (c) -159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/128524 and -73\/61468.\nAnswer: 1413764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199 + 547. Suppose 5*x + v = 33. Let u = x + 100. What is the remainder when 108 is divided by u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03386 to 3 decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-280)\/(-25))\/((-1)\/(-5)). Suppose w = -9*x + x. Let i = x + 22. Solve 3*j + 2*j = i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 1 = -4*h - 5, -4 = -4*h - 4*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1685 - 1710) + (4 + -2 - 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-2 - -8) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 + 12*b**3 + 4*b**2 - 12*b - 8.\nAnswer: 4*(b - 1)*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:31 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -462, -924, -1384, -1842, -2298, -2752, -3204?\n\"Answer: d**2 - 465*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 81\/4 of a meter?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 43?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 22248189.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 269154 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -16)*(5*(-14)\/35 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = -3*v, 3*l + 0*l - 4*v = 17. Suppose l*m - 4*o - 12 = m, 2*o - 2 = -3*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -12, 3 in descending order.\nAnswer: 12, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 2*j - 1. Let m(s) = 192*s**2 + 14*s - 7. Let p(r) = 2*m(r) - 14*v(r). Let f(c) = 3*c. What is p(f(k))?\nAnswer: 3708*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfwffwftt. Give prob of sequence wff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 941*l**3 - 1 - 102*l**2 - 939*l**3 - 12*l + l**4 + 95*l**2 to k*l**3 + c*l + q*l**4 + s + g*l**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2913 - -2930. Sort 11, -1, o in descending order.\nAnswer: o, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5 + 2838*l**4 - 2637896*l**3 + 757278704*l**2 + 42477879600*l + 81905495776 = 0. Calculate l.\nAnswer: -46, -2, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187 divided by -8912.\nAnswer: 187\/8912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/11 - 8\/11*s**4 + 76\/11*s - 26\/11*s**3 + 42\/11*s**2 = 0 for s.\nAnswer: -4, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**3 + 400*a + 402*a - 802*a.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1411 + -776. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634, 2514, 5662, 10090, 15810, 22834, 31174?\nAnswer: 40842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 291 + 13. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-141)\/(-47) - 317*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 630.1047 weeks to hours.\nAnswer: 105857.5896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2757, 5468, 8141, 10758, 13301, 15752, 18093?\nAnswer: 20306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/60 and 9\/(27\/(-2)) + (-1585)\/(-2850)?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (31\/2 + 1)*(-4)\/(-6). Suppose -10623 = -h*m - 2890. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-30) - (-3 + (-2144)\/3). Let v = n + 210. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74834)\/8804)\/(1\/6).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from hzczhcczc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2390601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430 = 101*d - 106*d. Let g(x) = d*x**2 + 15 - 4 - 11. Let p(h) = -2*h. Determine g(p(w)).\nAnswer: 344*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*v - 176 = 23 - 13. Sort v, 3, 19, 8 in increasing order.\nAnswer: v, 3, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*5\/((-45)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**2 + 8*w**2)*(3 - 4 + 3)*(-23 - 160 - 132)*((0*w + 2*w - 4*w)*(0 + 0 - w) + w + w**2 - w - 2*w**2 + 0*w**2 - 9*w**2).\nAnswer: 30240*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m\/(m\/m**6))\/m)\/m))\/m**2*m\/(m\/(m\/(m\/(m*m\/(m*(m*m\/m**(1\/5))\/m*m)*m))))*m*m*m*m**8*m assuming m is positive.\nAnswer: m**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 3589771\nAnswer: 17948855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(9*2\/24). Let p = y + -2. Suppose -f = 1 - p. Solve 2 = -x + f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, -2\/13, 1151, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2744873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -102063?\nAnswer: -102063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035667 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -257 + 250. Which is the nearest to 0? (a) 0.9 (b) t (c) -2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/18 - (-762)\/216)\/(798\/608). Let -8\/7*q**3 - 8*q + 4\/7*q**4 - l - 48\/7*q**2 = 0. What is q?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 542 and 72899.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 46*l**3 + 4*l**2 - 8*l + 5. Give j(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-72)\/(-15))\/((-1199)\/110 + 11). Solve -2*k - a = -42 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 30. What is the common denominator of -47\/10 and 1 + (-2 - (-1)\/(7\/u))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-1*-2.\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1461606, 1461613, 1461634, 1461675, 1461742?\n\"Answer: t**3 + t**2 - 3*t + 1461607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4268450 (base 11) to base 13.\nAnswer: -172b149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 449\/(6*(-3 + 102\/36)). Let u = a - -484. Suppose 120 = -4*n + 388. Calculate the remainder when n is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - n + 3*n + 8 = 0, 5*t + n = -22. Sort 9, t, 0.\nAnswer: t, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(-4 + sqrt(931)*-5 + -2 + (-1 + sqrt(931))*-4 + -1))**2.\nAnswer: 6048*sqrt(19) + 1206725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -5\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13330.2876 hours?\nAnswer: 79.34695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82317, 164671, 247027, 329385, 411745, 494107?\nAnswer: 576471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 72*z + 1. Is f(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 7*c - 130 = w, 2*c = 4*w + 52. Calculate the lowest common multiple of c and 134.\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**4 + 26666*l**3 + 1493746*l**2 - 753540*l = 0.\nAnswer: -6610, -57, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 - 2*w + 5. Let i be l(-3). Let k = i + 20. Let a(u) = -2*u - 4. Give a(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*l + 16 = 0, 0*d - 5*l = -4*d + 19. Solve -w - d = 0, -w - 3*w = -4*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -70. Let k = -3 + 2. What is the nearest to k in m, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - 2. Let z be w(0). Let m = 1 - -4. Suppose 0 = 3*i + 2*i + m. Which is greater: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 7*u**2 + u - 3. Let b be z(7). Let d = 118 - 67. Let x = d + -7. Calculate the highest common divisor of b and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a. Let d(o) = 12*o**2 - 4*o - 16. Let n(s) = 2*s**2 - s - 2. Let k be (-88)\/10 + ((-176)\/(-20) - 8). Let f(c) = k*n(c) + d(c). What is f(h(v))?\nAnswer: -36*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 39*x - 197. Let k(w) = 19*w - 98. Let j(t) = -5*k(t) + 2*s(t). Calculate the smallest common multiple of j(5) and 222.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 78\/21 - -2. Let z = t - -4\/35. Is z smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let u(m) = -5*m**2 + 3*m - 3. Let h = 20 - 38. Let l = h + 12. Let q(x) = -19*x**2 + 11*x - 11. Let v(y) = l*q(y) + 22*u(y). Determine t(v(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1079*p**3 + 1083*p**3 - 2154*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 2. Let v be w(-2). Solve -i = v*n - n, 5 = 2*i + 5*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2969 = -65*h - 14539. Which is greater: -176 or h?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 2)*5\/(-2) - -2. Factor b**3 - u*b**4 + 8*b**4 - 2*b**4 + b**2 - b.\nAnswer: -b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2 = -14, 4*h = 4*d + 12. Let j be ((-18)\/(-4))\/(d\/(-2)). Find the common denominator of -40\/9 and ((-35)\/(-8))\/(j\/12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-1))\/(4 + -3). Let p be ((-3)\/2)\/(1\/w). Find the second derivative of 5*l**4 - 3*l**4 - 2*l + p*l wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648 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: Let r(y) = y**3 - y**2 - 2*y. Let a(x) = 11*x**3 + 5*x**2 - 223*x. Let w(d) = a(d) - r(d). Find the second derivative of w(p) wrt p.\nAnswer: 60*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/54*27 + 4 + (3 - 1). Let a(z) be the third derivative of 0 + 1\/6*z**3 + q*z + 1\/12*z**4 + 23*z**2. Calculate a(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6. Suppose 5 = -r + u, -8 + 33 = -r + 5*u. Suppose 3*c + c - 15 = p, -4*c - 3*p + 3 = r. Solve 0 = -5*j - c*f - h*f + 14, -4*j + 7 = f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 21. Let g = -12 - h. What is the lowest common multiple of (-161)\/(-14) - 3\/2 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2. Let g = 178 - 172. Let x(r) = -38*r**2 + 17*r - 34. Let k(c) = 13*c**2 - 6*c + 12. Let p(l) = g*x(l) + 17*k(l). What is p(q(j))?\nAnswer: -252*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 1765860.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(288)*-1)**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/23)*p**(5\/2))\/(p*p**(-1\/6)*p*p*p*p)**(14\/9) assuming p is positive.\nAnswer: p**(-6125\/1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1465197*m**3*q*w**2 - 9*m**2*w**2 + 192*m**2*w + 8*m - 24*q wrt m.\nAnswer: -8791182*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 524885605*g**3*v**2 + 5112*g**2*v + 2*g**2 - 5*g*v**2 - 388 wrt g?\nAnswer: 3149313630*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*s - 171*s - 167*s + 501*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6954*g - 811. Is b(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 553\nAnswer: 1\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Is 15 a factor of (-1 - 1)\/l*-30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1050.2 - 55.2. Let r = z + -995.0519. Round r to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.2566 (b) -0.054 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**4\/18 - d**3\/3 + d - 1. Let h(m) be the first derivative of p(m). Let h(a) = 0. What is a?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*7*(5*(-4)\/(-20))\/((-15)\/15).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19850 + 19850.000019712. What is b rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40423411 (base 6) to base 4\nAnswer: 10121302333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 23, 41, 71, 119, 191, 293, 431?\n\"Answer: v**3 - 3*v**2 + 14*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26389 + 26384. Which is the nearest to 99? (a) r (b) -0.03 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**5\/20 - f**4\/6 + f**3\/2 + f**2\/2 - 19*f. What is u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7966689 millilitres in litres?\nAnswer: 0.0007966689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -19*p**8\/42 - 86*p**5\/15 + 168*p**2. What is the third derivative of s(l) wrt l?\nAnswer: -9120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 132\/(-28)) + 240\/252. Put 2\/17, -2\/35, 19, d in descending order.\nAnswer: 19, d, 2\/17, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose -2*x + 48 = -f*x. Let u = x + -12. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78267 is divided by 2896.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 + -116. What are the prime factors of x?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73465.4 to the nearest one thousand.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.0819, 3\/5, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 120*f + 1557. What is o(-24)?\nAnswer: -1323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227935?\nAnswer: 5, 45587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4\/3, -14, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 462 = -5*x. What is the least common multiple of x and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25994820 divided by -10567\nAnswer: -2460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i - 15 = 0. Suppose -i*k + 3*c = -20, 0 = 3*k + 2*k + c - 20. Suppose -k*x = -9*x + 20. Solve v - x = 0, -5*v + 19 = -5*f + 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + 2*a)*(-2*a**2 - 4*a**2 + 8*a**2 - a) - 4*a**3 + 4*a**3 + 4*a**3.\nAnswer: 8*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*o + 76*o = 173. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -53*r - 575. What is the remainder when 80\/3 + 2\/(-3) is divided by z(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.6 + 5.1. What is p rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -0.053, 1\/4, 2?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 16*p - 2. Let w be x(3). Let c = w + -43. Solve c*q - 9 - 3 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {v: 2, m: 3, g: 2, c: 2, d: 2, h: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - -13. Let q(f) = -49*f**2 + 50*f**2 - 11 + 11 + 17 - 14*f + c*f**3. Is q(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 9*o**2 + 7*o - 10. Let t be v(-8). Let x = t - -3. What are the prime factors of (1 + 0)*8 - x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 1, -1\/20, 0, 0.4, -203?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 2:12 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mpmmpqqp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2977, -3022, -3099, -3214, -3373, -3582, -3847?\nAnswer: -4174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 - ((53 - -24) + 20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-270)\/(-180)*226*73\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p**2. Let c(m) be the third derivative of m**5\/60 - 2*m**2. What is g(c(x))?\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0 (c) -12\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 13030 = -3*b, -3*b + 4*o + 12994 = -o. Suppose -19478 - b = 13*i. List the prime factors of i\/(-10) + 13\/(-65).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 0 + 2*w**2 - 6*w + 7*w + 8*w - 15 - w**2. Give f(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14430 - 259643\/18. Calculate the common denominator of (75\/21 - 1) + (-2)\/4 and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2876938 is divided by 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 681 - 201. What is the units digit of p - ((-12)\/(-2) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - 4*j**3 + 5*j**3)*(6 + 3 + 5).\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12124.9917 to the nearest ten.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*0*3\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -17\/1948882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/36)\/(2 - 0). Let a be -1 + -1 + (-1754)\/(-936). Let u = k - a. What is the biggest value in -0.4, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/9 + 686*m**3 - 16426*m**2\/3 + 43106*m\/9 = 0. What is m?\nAnswer: 0, 1, 7, 3079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a19b + -200?\nAnswer: -4a39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z + 25717 + 14519. Suppose 3*b + 444 = z. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3924\/42 - (-3)\/(-7).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82747 divided by -7\nAnswer: -11821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/55 and 74\/561.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from oujcrso.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v**3 + 2*v - 1. Let d be o(2). Let y = 139 + d. Suppose 214 = 4*s + y. Calculate the remainder when s is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -12*p**3 + 9*p**2 - 5*p - 4. Let s(d) = 35*d**3 - 26*d**2 + 15*d + 11. Calculate 6*s(u) + 17*v(u).\nAnswer: 6*u**3 - 3*u**2 + 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 4:51 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19039244 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: Let x(s) = -s**2 + s - 15. Calculate x(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkdodhkkkkkdhk. What is prob of sequence dd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -941354, -3765406, -8472156, -15061598, -23533726, -33888534?\nAnswer: -46126016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.52 and -128.\nAnswer: 66.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*11292\nAnswer: -4516.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 11. Let b = 2 - 2.6. Let v = 0.4 - b. Sort q, v, -1 in descending order.\nAnswer: v, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/94 + (-142362)\/(-337930)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + f + 4. Let s be x(5). Let d(k) = s - 3*k - 12 - 18 - 17. Give d(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204 + 23 + 4*w**2 + 318 + 460.\nAnswer: 4*w**2 + 1005","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 + (-4 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + n - 3. Let f be w(-3). Let k = 16 + f. Let j = 25 + k. Which is the closest to j? (a) -0.4 (b) 3\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -2*x. Suppose 1 = 3*j - 4*y - 2, x*j + 5*y = 35. Suppose -12 = -2*s + j*o, -5 = s + 3*o - 0. Put -5\/3, -1, s in decreasing order.\nAnswer: s, -1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 34*q**3\/3 - 6. Let u(l) be the first derivative of -l**3\/3 + 583. Determine u(a(x)).\nAnswer: -1156*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3\/17))\/z**33)\/(z\/(z**(2\/9)\/z))**(3\/13))**44 assuming z is positive.\nAnswer: z**(-950620\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k - 11*k = 31941. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130 - -3005?\nAnswer: 2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11062 + -66377\/6. What is the closest to x in 3, 4\/7, -0.4, 16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6848, 13637, 20426, 27215, 34004?\n\"Answer: 6789*c + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*q - 25 = -z, q = -5*z + 29. Is (-4)\/3*(-477)\/z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -0.0662785437?\nAnswer: -4.0662785437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10*585\/1053?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(343) - ((sqrt(343)*-2 - sqrt(343)) + 0 + sqrt(343) + sqrt(343))) + 1 + (2 + sqrt(343) + 0 - (sqrt(343) + 1)*4) + 2)**2.\nAnswer: 14*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 29. What is the tens digit of b(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 15 = 2*z - 10, -5*z + 10 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -638632, -1277251, -1915868, -2554483, -3193096?\n\"Answer: w**2 - 638622*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -151*c - 62. Let r(b) = 162*b + 63. Let g(k) = -4*l(k) - 5*r(k). Find the first derivative of g(j) wrt j.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ed4 (base 15) in base 4?\nAnswer: -10013101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2346107 - 2?\nAnswer: -2346111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5 - -1.437650928?\nAnswer: 16.937650928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 1 + 0 - -4. Suppose u + g = -3*q, u + q + 1 + 0 = 0. Suppose 0 = u*f - 4*f + 40. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3984563, -7969125, -11953687, -15938249, -19922811?\nAnswer: -23907373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -121\/3 less than -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e5b (base 15) to base 8.\nAnswer: -40540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/22 or 1285?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 6. Let f(k) = -k**3 - 5*k**2 - k + 1. Let s be f(d). Suppose -5 - 6 = -4*w - i, w - s = 3*i. Solve 0*q + 15 = w*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 + 8. Suppose -658 = q + 5*x, -q - 410 = 2*x + h. Let r = q + 1221. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -433487093 - 2?\nAnswer: -433487095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*g + 4193314 = 1308810. List the prime factors of g.\nAnswer: 2, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -636, -1109, -1578, -2043, -2504?\nAnswer: -2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 330640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4495 - -5917. What is the remainder when z is divided by 79?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8433, -8447, -8451, -8439, -8405?\nAnswer: -8343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 785478 divided by -8?\nAnswer: -392739\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 530, 8\/57, -2 in ascending order.\nAnswer: -2, 8\/57, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.5, -5, 155.72?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27687777.\nAnswer: 3, 13, 97, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 1367 = -205. Suppose t*v = 74*v + 153. Let h(m) = -9*m**3 - 6*m**2 + 5*m - 6. Let i(q) = 26*q**3 + 17*q**2 - 14*q + 17. What is v*h(d) + 6*i(d)?\nAnswer: 3*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36022 or -36025?\nAnswer: -36025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 8*w + 55. Suppose x + 114 = -4*d + 620, -w*x + 2467 = -d. What is the greatest common divisor of x and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 188, 187, 186?\n\"Answer: -t + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 - 4*k**4 + 4*k**4 + (0*k + 0*k - k**2)*(1 - k**2 - 1) - 59*k**4 + 19*k**4 - 45*k**4.\nAnswer: -86*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3599730252444.11200268 - 3599730151470. Let j = 100928.112 - o. Let q = j + 46. What is q rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 8 + 6 - (-32 + -10)) + (0 - 1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -285.55 (c) 6\/215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 1:35 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n + 94. Let u(k) = -2*k**2. Determine u(v(d)).\nAnswer: -200*d**2 - 3760*d - 17672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 0 - 1\/3*g**3 + 0*g**4 + 0*g**2 - 3\/20*g**5 + 2*g. Find the second derivative of f(v) wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 610 = -6*i + 4*i, -3*q + 918 = 3*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 258*o + 2165. Determine g(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + 18*q**2 - 19*q - 4. Calculate i(6).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*u**3 + 3\/7 + 0*u - 6\/7*u**2 + 3\/7*u**4 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 640594899 and 72?\nAnswer: 5124759192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 + 13)*(0*z - 21*z**2 + 1 + 22*z**2 + z) to m + u*z + w*z**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 + 1600*w - 884*w - 825*w to q*w + s + v*w**2 and give q.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.54364*-0.162.\nAnswer: 0.08806968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3328833 + -14?\nAnswer: 3328818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7353 divided by 9?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3769*653.\nAnswer: 2461157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:23 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 9. Suppose -554 + 50 = -9*c. Let p = c - 51. Let q(o) = 2*o - 5. Give p*n(v) + 9*q(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18064 = -5*t - 4*s + 6834, -s = t - 4981. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*s**4 + 1427*a**3*s**2 - a**2*s**4 - 403*s**3 wrt s?\nAnswer: 48*a**3*s - 24*a**2*s - 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 5. Let b = s + -1. Suppose b*y = -0*y + 27. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -1. Let a = 3132\/11 - 3130\/11. What is the second smallest value in a, f, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1760, 1, 5, -1, -3, 3 in ascending order.\nAnswer: -8, -3, -1, 1, 3, 5, 1760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*y = -28, 11 = 4*u + y - 11. Let s = -3 + u. Let c be 12*2 + (-3)\/s. What is the highest common factor of c and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 15, 14, 9, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7176 and 2652?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/30)\/(9\/5) - 176\/9.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 4, -2\/9, 2\/7, -0.343?\nAnswer: -0.343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from {g: 1, c: 7, e: 2}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Let u = q + -3.1. Let g = 8678 - 8675. Which is the closest to u? (a) 4 (b) g (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -98*r - 13. Let a(b) = -95*b - 12. Determine -6*a(n) + 5*w(n).\nAnswer: 80*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153895 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 8*c - 24 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 + 56 = -3*p, -4*p + 10 = -v. Let j = 95 + v. Let x = 109 + j. What are the prime factors of x?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -400266072 or -400266074?\nAnswer: -400266072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 258.\nAnswer: 14706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/140 - 3*d**4\/28 - 5*d**3\/14 + 16*d**2. Determine i, given that w(i) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2550510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1724\/372) + -6*(-5)\/45?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 9*j - 3*v + 32 = 0, 8*j = -4*v - 60 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q**3 - 13*q**3 - 7*q**3)*(-434*q + 873*q + 29 - 437*q) + 2*q**4 + q**2 - q**2 as l*q + t + j*q**4 + m*q**3 + b*q**2 and give m.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3 - 1 - 3*j + 0. Let g be 3 + 1\/3*0. Let k(l) = -g + 0*l - 3*l + l. What is -4*k(f) + 3*o(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j + 16. Let r be a(7). Let i(o) = -7 + r*o - 7*o - 9*o + 1. Let n(v) = -14*v - 5. Let t(z) = 5*i(z) - 6*n(z). Let k(s) = s**2. Determine k(t(x)).\nAnswer: 196*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d0da + 3?\nAnswer: -d0d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11968 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Let p = 157 + -158.5. Which is bigger: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306014800 divided by 2.\nAnswer: -153007400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7687 + -7687.5. Let w be 4\/(-10) + 9\/10. Let o = 0.44 + -0.04. Put w, a, o in decreasing order.\nAnswer: w, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 248.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 21 = -192. Suppose -2*x = -5*x - 2*o - 16, -3*x + o = 1. Is 14 a factor of y\/x*10\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082695 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 + 36418*f\/5 - 8967672\/5.\nAnswer: 2*(f - 243)*(f + 18452)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 186846 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 132*i**3 - 4*i + 133*i**3 - 3*i**2 + 7*i + 2 in the form u*i + o*i**3 + n*i**2 + s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 + 289. Suppose 2*p - 192 = 3*f, 2*p = -4*f + 6*f + 196. Calculate the highest common factor of p and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 2886*n**3 + 5*n - 2868*n**3.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(18) - sqrt(18)) + sqrt(18))\/(sqrt(45)\/(sqrt(20)\/sqrt(4))) + -2.\nAnswer: -8*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 50*u**2 - 1284*u - 16342. What is y(35)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1583 + -1581. Is 6.63 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34949 + -5310?\nAnswer: 29639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7485783 millennia in decades?\nAnswer: 74.85783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28618 and 82164?\nAnswer: 28675236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/3)\/(-4))\/((-3)\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 6, 13, 1021 in descending order.\nAnswer: 1021, 13, 6, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612963\/76792 + (-3)\/12 + 177\/(-12) + -6?\nAnswer: 1\/232","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11124 + 11376. What is the smallest common multiple of 420 and w?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l - 205. Is (5 + l)\/(0 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 20526.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 4244*q + 1326642.\nAnswer: 2*(q + 381)*(q + 1741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-1)*1635\/19075)\/(2\/(-70))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 15. Suppose 307 = 2*c - c - 4*p, 5*p = c - 309. Let r = c + -305. Is r less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3703.159 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119.4 - -97. Let z = q - -15.7. Let l = z - -7. Put -0.3, l, -0.5 in increasing order.\nAnswer: -0.5, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/12*-4*44\/(15708\/(-1581)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -430, -821, -1326, -1939, -2654, -3465?\nAnswer: -4366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:54 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.75 (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.8 - -1.8. Let w = 5.582 + 0.018. Let q = w + h. Round q to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 1100111011101001010?\nAnswer: 1100111011101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-77504 + 4)*34\/(-5). What is w rounded to the nearest ten thousand?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-3)\/1 + 0. Let l(o) = -o**3 + 4*o**2 - 4*o - 4. Let j(d) = 0 - d**2 + 2*d**2 - d - 1. Let y(r) = 6*r**2 - 2. Let v be y(-1). Give i*l(h) + v*j(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:14 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -816*g**3 + 16*g**2 + 4*g + 21. Let t(d) = 163*d**3 - 3*d**2 - d - 4. Let m(b) = 11*t(b) + 2*x(b). Is m(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/5, -0.3, -0.162, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -65*y**7\/42 - y**4\/12 + y**3\/6 + 257*y**2\/2 + 3*y - 86. What is the second derivative of x(d) wrt d?\nAnswer: -1300*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6080*a**2*p**3 - 9969*a**2*p**2 + 8*a*p**2 - 8*a*p - 45*a - p**3 + p + 1369 wrt a.\nAnswer: 12160*p**3 - 19938*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 113 = y, 28*z = -5*y + 32*z + 551. Calculate the remainder when 317 is divided by y.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -4113649\nAnswer: -822729.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 13 - 14 - 111*s**2 + 101*s**2. Determine x(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*k - 12, 2*p - 23 = 2*k - 11. Let q(t) be the second derivative of 4*t + 3\/4*t**2 + k - 7\/16*t**4 - 5\/8*t**3. Factor q(f).\nAnswer: -3*(f + 1)*(7*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23184 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50038189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 4. Let n be w(2). Suppose 2*r = -n, 2*r + 2 = 3*x - 3*r. Let j be (-183997)\/(-2) - 3\/2*x. Round j to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.16 - -1.243. Round v to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 2*t**2 - 2*t - 109. Let b be g(0). Let m = -73 + b. Let j = m - -314. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 12 - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -772.3 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/4 + 0\/(-2). Let g = k + 2. Let l = 1 - g. Solve 4*c + 2*d = 24, 32 = 3*c + d + l*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -67, 1016.\nAnswer: -67, -24, 1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1094*z + 4282 - 2916 = -8480 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117291098807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-144)\/(-15) + (-2)\/(-5). Let x = k + 2. What is the units digit of (-32)\/x*(-18)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f = 21*f - 5*t + 10, 3 = -f + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**3 - 2*m**2 + m - 2. Let v = -9 - -7. What are the prime factors of o(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/68475 and -77\/12450.\nAnswer: 136950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -4\/3 (c) 320 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -1. Let w = -11 - b. Is w equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7366058 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 2 (b) 121 (c) -6914 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 26 + 188. Let a = i - 150. Let h = -20 - a. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6116 and -185.\nAnswer: -6301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -37625.\nAnswer: 2\/37625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 49, -4, -5 in decreasing order.\nAnswer: 49, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -32157?\nAnswer: 32143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1427460*a. Let p(q) = 26*q. What is p(o(y))?\nAnswer: -37113960*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bllbblqobol. Give prob of sequence bqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2748057 is divided by 1582?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21975, 88116, 198337, 352638, 551019?\n\"Answer: 22040*s**2 + 21*s - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let l(k) be the third derivative of 21*k**5\/20 - 30*k**2 + 2*k. Give l(c(m)).\nAnswer: 252*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 1 - (-4 - -1). Suppose 3*n + 6 = 3*c, 2*c + 4 = n - c. Suppose 3*p = -2*x + 19, 0*p + 4*p = -2*x + 22. Put i, x, n in increasing order.\nAnswer: n, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = n + 80, 3*n = 2*w + 96. Let l = -40 - w. Calculate the lowest common multiple of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*j - 25, -11 = -5*w + 4*j + 21. Suppose 3*h = 5*z + 15, -5 = 4*z - 2*h + h. Solve k - 5 = -4*l, w*l - k = -z*k - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 12*p**2 + 5. Let c be z(12). Let x = 5 + c. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zivzikvvvviiz. What is prob of sequence zi?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99\/49 + -141\/49. Sort 0, 125, -4, -0.2, g.\nAnswer: -4, g, -0.2, 0, 125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-18))\/(2\/8). Let n = 0.8 - -0.2. Which is the closest to n? (a) 1 (b) -1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-7 + 5))\/(-2). Suppose u*k + 3*k + 4901 = 5*h, 2*k = -4. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 18*f**2 - 35*f - 23. What is the remainder when y(-16) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16924 and 84?\nAnswer: 355404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22 - (-1 - 1))\/(-1). Let u = n - 18. Let s(p) = 4*p - 1. What is s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20200011 (base 4) to base 6.\nAnswer: 425113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1188 + 1939. Suppose 5*a - 2*z - 1079 - 2637 = 0, a - 3*z - p = 0. Suppose -3*m + 2*x = m - a, m = -5*x + 202. Is m a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -212.09 - -7.09. Let a = -205.2 - z. What is the third biggest value in -1.3, -0.1, a?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*c - 35. What is the second derivative of 40*w - c*w - 32*w**5 + 82*w wrt w?\nAnswer: -640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4 - 2*a**3 + 18*a**2 - 22*a + 8 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2089 = -5*u - 3*v, -2097 = 5*u - 0*u - v. Which is greater: 0.4 or u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a**2 + 91*a - 179. Let z = -1 + 4. Suppose -z*d + 2 = o - 11, 3*d = 5*o - 101. Calculate the remainder when m(2) is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k**3 + 5*k**2 - 5. Let v(t) = 8*t**3 + 3*t**2 - 3. Suppose 25 = -2*c + 49. Suppose -d = -5*d + c. Give d*q(o) - 5*v(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 9. Let s be q(4). Let m(a) = -10*a - 8. Let r be m(2). Let c be ((-21)\/r)\/(3\/8). Solve -2*n + n = -s*l - c, 2*l - 10 = 4*n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -63*y**5\/20 - 49*y**4\/24 - y**3\/2 - 40*y**2 + 2*y. Find the second derivative of s(a) wrt a.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**4 + z - 1. Let m(o) = -8*o**4 - 26*o + 6. Let x(c) = m(c) + 6*y(c). What is the second derivative of x(h) wrt h?\nAnswer: -168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 - x - 3. Let d(q) = -q**3 + 6*q**2 + 2*q + 4. Let h be (-2 - 0)\/((-7)\/(-14)). Determine h*y(j) - 3*d(j).\nAnswer: -j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 6*w + 3. Let g be m(-6). What is the third derivative of -g*h + 3*h + 2*h**3 + 2*h**2 wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*h - 4. Let t = 39337 - 39325. Solve -t = -h*i + i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 7*w**2 + w - 6. Let y be u(7). Put -1, 3, -5, y in decreasing order.\nAnswer: 3, y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 625981648*t**3 + t - 340944936?\nAnswer: 3755889888*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oovoovoovv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q + 2. Let r be (3 - q) + -14 + 17. Solve 10 + 10 = r*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*t + 2*r + 38, 3*t = -r + 26. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 35 = -7*d. Suppose 5*r - d = 3*c - 0*r, -20 = -5*c + 2*r. Calculate the remainder when (2*(-7)\/(-35))\/(2\/140) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(8) + -3*sqrt(8)*6))\/((sqrt(100)\/sqrt(5)*-2)\/sqrt(4)).\nAnswer: sqrt(3)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60642436 to the nearest integer?\nAnswer: 7787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1920) + -2*sqrt(1920))\/(4*sqrt(10)*-1 - sqrt(10))*-3)**2.\nAnswer: 6912\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a kilogram in grams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(1452)).\nAnswer: 5 + 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 - 5*s - 15. Give g(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-21)\/175*(25 - (-15)\/3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -26. Let k = -15 + z. Let d(x) = -x**3 + 6*x**2 + 4. What is the remainder when 11 is divided by d(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxvvxxxxxvxxx. Give prob of sequence vxx.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6*g + g = -45, 2*c = 2*g + 30. Suppose c*p = 20*p - 165. Which is bigger: p or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1500 and 20042700?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z - 31*z - 9*z + 204*z**2 - 96*z**2 - 111*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*r - 65, -2*x + 6 = -4. Suppose -w = d - 4*d - r, -4*w + 44 = -4*d. What is the lowest common multiple of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -252 + 247. What is the nearest to c in 0.2, 12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 10*j + 5*j = -5, 4*q + 4 = 4*j. Suppose -2*u + 24 = m, q = -0*u + u + 5*m - 3. Solve -u*a + 11*a = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -1, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(89*s + 21*s + 4*s) + 7 + 1 - s - 6 to m + x*s and give x.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39 - -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -77, 18, 0.011, 5 in increasing order.\nAnswer: -77, 0.011, 2\/17, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4671 a factor of 732977115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - -1) + -7 - 1) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from vobbbxoqb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+0.576\nAnswer: 0.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - ((3*sqrt(209) - sqrt(209)) + sqrt(209)) - sqrt(209))\/sqrt(11) + 4 - -3*(sqrt(19) + 0 + sqrt(19) + -4 + sqrt(19))) + 5)**2.\nAnswer: -36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3857*f**2 - 681.\nAnswer: 7714*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/30020724 and 149\/26190?\nAnswer: 450310860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 5}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (44 - (2 + 11)) - (6 - -8).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 18 = -13*q - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5538097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 + 445. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Let f be (-260)\/j*(-6)\/4. What is the remainder when 4\/12 + f\/6 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -669*a - 16562 + 2*a**2 - 4*a**2 + 268*a + 37*a.\nAnswer: -2*(a + 91)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 13*i + 48. Let l be q(-6). Let o be 1620\/(-660) - 1\/((-2)\/l). Let f = -0.3 - -1.3. What is the closest to -2 in 0, o, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(427\/(-70) - -6). What is the highest common factor of a and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 15574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i = 60. Suppose 7*r = 2*r + i. Suppose 0 = 149*s - 167 - 282 - 232 + 85. Solve -2*b = -s*x - 4, r*b + 3*x + 5 = 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8738907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(3 - (10 - 2)). Which is the second smallest value? (a) x (b) 4 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 - 0.2. Let r = -0.292 - -0.292. Sort t, r, 0.1, 2 in descending order.\nAnswer: 2, t, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 31 = r, 3*d = -0*r + 4*r - 49. Suppose -10*b + r = -6*b. Solve b*i - 4*q + 8 = 0, 0 = -3*i + 4*q - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) + (-81)\/(-15). Does 18 divide 3*m*(-15)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2309960 by -1154980.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u - 2. Let t be 3 - (-1 + u) - 2. Let x = t - -2. What is the remainder when 22 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*t - 6 = -3*t, -4*t + 8 = -v. What is the third derivative of v*i**6 + 7*i**2 + 4*i**3 - 14*i**2 - 21*i**2 + i**6 wrt i?\nAnswer: 120*i**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 10:28 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 1. Let o be n(1). Suppose -v = o*v. Let p = 4.7 + -4.4. Which is the third smallest value? (a) v (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 396 + -398. Let l be (1\/((-5)\/(-5)))\/(i\/(-266)). What is the highest common divisor of 38 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2880 is divided by 674.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11270 and 460.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-72)*45\/55.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 30 = -0*r. Let i be 1 - -6*(-28)\/12. Let g = i - r. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000162487 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -2. Let w be (-1)\/((-1)\/1)*h. Put 1, w, -4 in descending order.\nAnswer: 1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - u**4 - 2*u**4)*(-u + 2*u + u + (-2 + 7 + 1)*(-4 + 2*u + 4) - 3 + 2*u - 9*u + 5*u).\nAnswer: -12*u**5 + 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.288 to 1 dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.97 + -11.27. Let j = 49 - s. Let i = -0.07 - -0.01. Sort i, 0.1, j.\nAnswer: i, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5672 + 0?\nAnswer: -5672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/31))**28\/((h**(-4)*h)\/h)**(9\/2) assuming h is positive.\nAnswer: h**(1370\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 112199383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w**(-7)\/w))*w\/(w\/(w\/(w\/(w\/(w**(2\/5)\/w))))) assuming w is positive.\nAnswer: w**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oclocccccooco. What is prob of sequence cclo?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523680, -523682, -523684, -523686, -523688?\nAnswer: -523690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = 4*y, -9*q + 14*q - 4*y = -12. Let r(v) be the third derivative of -1\/24*v**4 + 0*v - v**2 + q*v**3 + 0. Let u(o) = o**2. Calculate r(u(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 40 + 20)*(-2 - 1 + 0)*(-3*d**3 + 0*d**3 + d**3) as h + p*d**3 + t*d + k*d**2 and give p.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*q = -21, 76*g - 3*q = 79*g + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5426809, -2.\nAnswer: -5426809, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 + 3*q**4 + 0*q**4)*(2*q - 3*q + 2*q) - 906*q**5 - 293 + 293.\nAnswer: -905*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 553781060992 + -259\nAnswer: 553781060733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/(-6))\/((-2)\/(-6)). What is the units digit of 7\/(k\/(-30)) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d + 0*d - d + 1)*(80*d - 80*d - 50*d**2) - 6*d**3 + d**3 + 4*d**3 to k*d**2 + x + z*d + t*d**3 and give t.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa9302 (base 11) in base 7?\nAnswer: -21016130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16e + 239c?\nAnswer: 222e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251258351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a centimeter in millimeters?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75070940 to the power of 1\/2, to the nearest integer?\nAnswer: 8664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -14\/979, 0, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*b + 0 = -4, 0 = -5*b - 20. What is the highest common factor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 18 + f**3 - 43*f**2 + 25*f**2 + 9*f**2 + 16*f + 19*f**2. What is the remainder when 35 is divided by p(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 c, and 1 p when four letters picked without replacement from cpppwwswpppppp?\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + 0.08. Suppose -3*r = 2*r. What is the nearest to 0.3 in 2\/11, z, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(34\/255) + 12\/48*286?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (3 + (-3 - 4)))*105. Let w = r + 64. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 792114 divided by 10\nAnswer: 396057\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*s - 92, -w = -0*w - 2*s - 30. Let b(r) = r**3 - 2*r - 1. Let l be b(-1). Let o = w - l. Calculate the greatest common factor of 85 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39299161 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 94220102 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-6 + (0 - 5)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - -2) + (4 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8649, 1, 12, -1 in increasing order.\nAnswer: -1, 1, 12, 8649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.2. Let f be ((-15)\/(-5) + (-1 - 2))*-1. Put f, 1, z in decreasing order.\nAnswer: 1, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/5 and 167\/513876.\nAnswer: 2569380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + o - 0*o - 11, 3*o + 21 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313 (base 6) in base 16?\nAnswer: -14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z**2 - 5181*z + 208120. Give r(37).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 10:38 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.223, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594 - 3766 - 4123 = -17*h. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k + 58 - 1468*k**2 - 1468*k**2 - 4*k**4 + 2937*k**2 + k**4 + 0 + 0 + (-4*k + k + 2*k)*(3*k**2 - 2*k**3 - 3*k**2).\nAnswer: -k**4 + k**2 + 3*k + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**3 - 2*s**2 + 2882*s + 14390. Give m(-5).\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14936*c - 12565 wrt c?\nAnswer: -14936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 70888563?\nAnswer: -70888567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 3, -88735 in decreasing order.\nAnswer: 3, 1.5, -88735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1997704696 to four decimal places.\nAnswer: 0.1998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-6)\/89) - -15. Determine i, given that -1\/2*i + d*i**3 + 1\/3 + 0*i**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110000110 + -11?\nAnswer: 110110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of (-120590)\/(-22) + (-64)\/176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45702085*r**3*w**3 - 87*r**3*w**2 - 2*r**3*w + r**3 + 2*r**2*w**4 + 220*r**2*w**2 + r*w**2 - 19*r*w wrt w?\nAnswer: -274212510*r**3 + 48*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 286 - 283. Suppose 3*w = -q, 4*w - 7*w = 5*b - 7. Calculate the remainder when 2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082312290 to the power of 1\/3, to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 9*t**2 + 8*t - 5. Let s be 116\/14 + (-8)\/28. Let u be k(s). Let z = -0.8 - 0.2. Which is the closest to 2? (a) u (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.1 (b) 7 (c) -4\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 3. Suppose 4*r + 2 = -10. Let x be (-30)\/(-9)*r\/(-2). Suppose -23 = -j + x*h, 0 = -3*j - h - 2*h - 21. Determine s(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 66.6. Let m = i + -13. Put m, -5\/3, 2\/3 in decreasing order.\nAnswer: 2\/3, m, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 3*y**2 - 2*y - 5. Let c be u(4). Let v be 0\/(-2 + 1*6\/1). Let m = c - v. Solve -3*q + m*r + 12 = 0, -2*r = -3*q + 9 - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -967 by 4.\nAnswer: -967\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*p**2 - 57*p**2 - 768 + 767.\nAnswer: -168*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2868*q - 20903 - 23988 = -153769 - 51730 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + sqrt(2057) + sqrt(2057) + (sqrt(2057) - 1*(1 + sqrt(2057))) - (2 + ((2 + sqrt(2057) - sqrt(2057)) + 3)**2 + 2).\nAnswer: -29 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pwhpappgafpppg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 38. Calculate the least common multiple of 2 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2988755\/33)\/7 + 1\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35049 is divided by 962.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.93 - 0.07. What is the smallest value in -3, -1.2, q, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 64\/5 of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 16) to base 2.\nAnswer: -1100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(85)\/sqrt(5) + 2)*-1)**2.\nAnswer: 24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*10\/(-160) - (-429)\/582. Is f at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {q: 1, i: 3, l: 4, s: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.94 + 21. Let d = -1177\/3 - -389. Let c = -3 - d. Which is bigger: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9422 = -t + o, -8 + 14 = 2*o. Does 145 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 3:22 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500190436?\nAnswer: 2, 59, 269, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 20, 40, 66, 98, 136, 180?\n\"Answer: 3*c**2 + 5*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 + 23*v**2 - 2*v - 2. Let r(j) = -10*j**3 - 69*j**2 + 7*j + 7. Suppose -18*u + 191*u = -1328 + 117. Give u*l(z) - 2*r(z).\nAnswer: -z**3 - 23*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5\/3, 1\/6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27 (b) -26\/11 (c) 1647\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -157830904947 and -4.\nAnswer: -157830904951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 1521 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*c - 52 + 73 = -83, 5*i = -13*c + 265 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -37*u + 166. Suppose 3*q + 32 = 4*z, 70 = 5*z - 5*q + 25. Let p be x(z). Sort -3, 0, p.\nAnswer: p, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7875 divided by -2625.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 171095 from 0.81.\nAnswer: -171094.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1340673\/335 + -4002. What is the common denominator of 7\/50 and d?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-2)\/(-1 - 1). Let p(g) = 40*g**2 + g. What is the tens digit of p(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35834001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 435132 and 253827.\nAnswer: 3045924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 349*i**4 + 269 wrt i.\nAnswer: 1396*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + -2 + (29 + 9 - 44).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-10)*(-1520)\/456. Let n = -1.93 - 0.07. Which is the closest to n? (a) 1.6 (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 971 + 538)*(3*m - m + 0*m).\nAnswer: 2940*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 59*l - 64*l = 12, 2*l + 4 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:07 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (148 + -143 - -22*10\/(-12))*(-90)\/(-40)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/30)\/((-12)\/10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 225.394 + -226. Let s = i + 0.49. Let m = s - -0.115909. Round m to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90115.14 times -0.5?\nAnswer: -45057.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = q + 1186001, 0 = -3*y - 5*q - 1779005. What is y rounded to the nearest ten thousand?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*u + 2*z - 167, -155 = -u + 2*z. Let a = u - 155. Calculate the remainder when 32 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 5:19 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87160 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-16)*(2*4 + (-638)\/145).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 0.041 (c) -5 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 57.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8446128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15206523 (base 7) in base 16?\nAnswer: -16172a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 3025.\nAnswer: 14\/3025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2892)\/(-520) - 6\/(-15). Let m = j - 11\/2. Which is greater: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:17 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -9. Suppose a*v = 4*v + 20. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32073, 128540, 289759, 516090, 807893?\nAnswer: 1165528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1655114 to the nearest 10000.\nAnswer: -1660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 701 or -2946\/7?\nAnswer: 701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18279019063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) - (0 - (-21)\/(-12)). Suppose -k + 0 = -r. Solve 4 = z + k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vecgtvtytevettyvy. Give prob of picking 1 y and 2 t.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3799 divided by -372\nAnswer: -3799\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 71*z**2 - 4*z. Let h(l) = 72*l**2 - 5*l. Calculate -6*h(c) + 7*v(c).\nAnswer: 65*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022548 rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 1e59b65?\nAnswer: -1e59b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-2))\/((390\/20)\/(-39)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {j: 3, b: 1, i: 3, x: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + (-5895)\/(-375))*5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797519?\nAnswer: 727, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -487 + 7309\/15. Let g be 2\/(-5) - (1 + -2). Let z = m - g. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 102 = 2*z - 4*z, -167 = 3*z - 4*r. Let h = 55 + z. What is the least common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose -35 = -c*l + 5. Calculate the lowest common multiple of 22 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v - 1. Let r(x) = x + 1. Suppose 0 = 5*j - 10*j. Let n be r(j). List the prime factors of y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34600 + -15614. Is w a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 91?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -11947*y**2 + 2*y + 7. Let f be g(4). Let v = -1798863 + f. Round v to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 311 - 311 + 75*j + (-1 - 3 + 2)*(2*j - 3*j - 2*j) - 1 + 1 + 2*j.\nAnswer: 83*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 66 - -1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*c = -226, 5*c - 2*c = -3*j - 132. Let v = -39 - j. Suppose 48 = 7*f - f. Calculate the highest common divisor of f and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*h**4*n**2 - 9*h**3 + h**2*n**2 + 9*h*n - 23*n**2 wrt h.\nAnswer: -120*h**2*n**2 - 54*h + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/53980513?\nAnswer: 6\/53980513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**5 + 199*m**4 - 18209*m**3 + 20*m**2 + 209359?\nAnswer: -120*m**2 + 4776*m - 109254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 783043 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (((-1785)\/10)\/(-7))\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413526 (base 7) to base 9.\nAnswer: 117253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-21))\/((-4)\/(-21)*(-231)\/99).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2.276 (b) 4 (c) -14 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13083719 - 6*n**2 - 26167453 + 4*n**2 + 13083709.\nAnswer: -2*n**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, d: 1, t: 2, a: 8}. What is prob of sequence ff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13714 and -0.0303?\nAnswer: -415.5342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.059, -1, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**2 - 5*y. Let s(d) = d. Let r(v) = 4*s(v) + x(v). Let g be r(1). Solve 0 = -a + g - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a milligram in micrograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b - 1154*b**2 + 5*b + 2*b + 1153*b**2 + 4 + 6*b. Let i be 62\/8 - 1\/(-4). Let w be 2\/((-14)\/i - -2). What is m(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25969 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a + 5 - 2*a**3 - 8*a + a**3 + 4*a**3 in the form f*a + u + i*a**2 + l*a**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12597 + 24263. Suppose -6*b + f = -38308. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {n: 2, r: 6, m: 5, i: 1, f: 1}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/4)\/(20\/(-40)). Suppose -4*g - 2*h = 32, 5*g + 15 + 11 = h. Let y be (-3 - (105\/g)\/a)*17. Is y < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, 8, 10, 10?\n\"Answer: -o**2 + 7*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 20 = -75. Let u = -13 - z. Let m(b) be the first derivative of b**2\/2 + 2*b + 9. Calculate m(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*z - 158*z = 141*z - 2298 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u = 72. Suppose u = -4*c + 2. List the prime factors of c\/2 - (-41 - -6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**4 + 7*g**3 + 15*g**2 + 3*g + 1. Let c(w) = 11*w**4 + 15*w**3 + 29*w**2 + 7*w + 2. Let m(f) = -3*c(f) + 5*q(f). Factor m(a).\nAnswer: -(a + 1)**3*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24334 and 168590.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*b - 0*d - 54, 3*b - 46 = -4*d. Let h(u) = u - 2. Let m be h(16). Suppose 198 = -m*w + 15*w. What is the highest common factor of w and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 4)\/(21\/(-70)*5). Let v(b) be the first derivative of 13\/4*b**4 + 0*b**3 + 1 - 4*b + 0*b**c. What is the derivative of v(l) wrt l?\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -35*m. Let g(f) = 5*f. Let l(y) = -20*g(y) - 3*k(y). Let i(o) = 3*o**2. Calculate l(i(n)).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10205 = -0*r. Let l be r\/126 - 8\/(-28). Let x = 163\/2 - l. Put x, -4, -0.1 in increasing order.\nAnswer: -4, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -243. Let f = u + -210. Solve f*x = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) 2\/9 (b) 0.4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1483*n**2 + 344 - 351 + 9*n - n**3 - 1478*n**2. Let f be ((-6)\/(-6))\/((-2)\/(-14)). What is x(f)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 9540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = -53*b + 805. Let w(v) = -v**3 - 11*v**2 + v + 8. Let j be w(-11). Let h = 9 - j. What is the greatest common factor of b and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 15*y**2 - 48*y - 5. Let w be d(5). Solve -30 = w*q - a, -3*q + 2 + 3 = 4*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f - 126 = -54*f - 12*f. Solve f*v + 3 + 6 = 0, -3*v = 4*m + 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8959 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 510 - 2?\nAnswer: 50d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12223233 (base 4) in base 6?\nAnswer: 330423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -834*q**4 - 33364*q**3 + 192494*q**2 + 226104*q + 1080 = 0.\nAnswer: -45, -1, -2\/417, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-5)\/2))\/(3\/(351\/(-26))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19136 and 135056?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113114134 + 1103?\nAnswer: -113113031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.300418947 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/(-6) + 2\/3. Let z be -3*12\/(-9) + t. Suppose 4*c = -2*f, c - f - 3*f - 9 = z. Is 2\/7 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -155*v + 439. Let a = 409 - 403. Let g be r(a). Which is greater: g or -490?\nAnswer: -490","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26183\/19 or 1379?\nAnswer: 26183\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 12*o**2 - 4*o - 18. Calculate s(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o + 26. Let g(z) = 17*z - 1. Let p(c) = -65*c + 17. Let m(b) = -4*g(b) - p(b). Calculate -5*m(j) - 2*x(j).\nAnswer: j + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c + 5. What is the units digit of c - (0 + -2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1738 - -1750. Suppose -3 = -n + 2*n + 2*x, 0 = -2*x - 2. What are the prime factors of -8 - -4 - q\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x + 2\/9*x**3 - 1\/12*x**4 - 1\/6*x**2 + 2. Factor j(k).\nAnswer: -k*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:05 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -206186, -412374, -618562?\n\"Answer: -206188*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 6290 and -14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 745208628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 27*u**2. Let m(r) = 2*r - 26. Calculate o(m(c)).\nAnswer: 108*c**2 - 2808*c + 18252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 86 - 56a5?\nAnswer: -561e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 101792*l + 712443. Give p(-7).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbb when three letters picked without replacement from {t: 3, b: 13}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 1852 - 1703 + 3457.\nAnswer: -2*p - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 804 or -4559?\nAnswer: 804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 16. Let j = -10.993 + h. Round j to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -245\/1549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -497*x + 1743 + 1736 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -40. Suppose -4 + 1 = o*i, -5*i = -5*q + 5. Suppose q = -11*u + 7*u + 500. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*v - 110*v = -5*g - 53, 3 = -g - 3*v for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 35.9 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 106 - (1 - (-95 + 89)) - 12\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + -0.0299934. What is l rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013170370183 to seven decimal places.\nAnswer: 0.0131704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (208*y - 34*y**2 - 491*y + 175*y + 194*y)*(-3*y + 4*y - 3*y).\nAnswer: 68*y**3 - 172*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*r + 5*q, -21*q = 5*r - 22*q - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*n + 19 = 3*b, 2*b + 4*n = -46. Let t be 2400\/b + 4\/14. Let g = t - -194. Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -8.59\nAnswer: 17.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-557)\/(76866\/2760))?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-104)*4)\/(-88*(-28)\/(-224))?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-2) - (-5 - 3). Let c be ((-2)\/(-4))\/(r\/(-48)). Sort c, -5, 4 in increasing order.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9216*o - 3461*o - 634647 + 633879 wrt o?\nAnswer: 5755","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (24 - 7)*(-2 + 7 + 7502) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s\/s**7)**49\/((s\/s**(-2\/5))\/(s**(2\/5)\/s))**22 assuming s is positive.\nAnswer: s**(-142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -513.4 + 513.9394. Let o = 659.46 + -660. Let k = o + f. What is k rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 + -10402 + 8)*(20\/6 - 6) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 2*k**2 - 5*k + 3. Let f be n(4). Let d = -16 + f. Let i be (11 + d)*198\/45. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 18*x**2 + 10*x - 18. Let s(t) = t**2 + 2. Give 2*m(n) + 18*s(n).\nAnswer: 54*n**2 + 20*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4717*y + 2*t = 2366*y + 2358*y - 26, y + 82 = -4*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 + 6 = 0. Let p = 169\/8 - 21. Put p, k, 22 in descending order.\nAnswer: 22, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*u + 0*u + 37116 + 4296 = 0 for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-67*x - 3 - 78*x + 137*x)*(-14*x - 16*x - 5*x).\nAnswer: -280*x**2 - 105*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 0*d)*(-9*d**3 + 4*d**3 + 8*d**3)*(3*d - 6*d + 5*d) - 2*d**5 + 0*d**4 + 0*d**4.\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/((2 - -4)*1). Let a be 189\/252 - (-2 - 23\/(-4))\/9. What is j in a*j**3 - 5\/3*j**2 - 1\/3*j + 0 + b*j**4 = 0?\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1020372554?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -187, -193, -189, -169, -127, -57, 47, 191?\n\"Answer: g**3 - g**2 - 10*g - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 66188889 + 54320\nAnswer: 66243209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/36 and ((-107)\/126)\/((-2640)\/(-154)).\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 11 - 3 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 1426.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.052 or 7?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1941057)\/(-290) - 48\/160. Is 6692 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*v + 10, -3*c + 3*v = -10 + 40. Let n be (-2 - 0 - -3)*12. Let l be n\/(-10)*30\/(-84). What is the second biggest value in c, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q**4 - q**3 - 6*q**2 - 6*q - 5. Let j(d) = -11*d**4 + 9*d**2 + 5*d + 7. Let t(y) = 2*j(y) + 3*r(y). What is the second derivative of t(o) wrt o?\nAnswer: 60*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 0*v**2 - 1 - 5*v**2 + 4698*v - 4697*v - v**2. Let h(n) = -n**2 + 1. What is a(o) - 5*h(o)?\nAnswer: -o**2 + o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56589 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 + 33 = 5*c, 0 = 2*i + 10. Calculate the smallest common multiple of 1 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 14*p**2 - 11*p - 1. List the prime factors of a(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*(w\/((w*w**(-3\/2)\/w)\/w))\/w)\/w)\/(w\/((w\/(w*w**(-2\/7)*w)*w)\/w)))**(-1\/2))**(1\/92) assuming w is positive.\nAnswer: w**(-11\/2576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*k + 4*h, -3*k + 2*h - 12 = -3*h. Let f be 350\/126 + k\/(-18). Solve 5*d - f*x = 11, -5*d - 1 = 3*x - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/3 + -1\/3. Let m = 0.1 + 0. What is the smallest value in -2\/15, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6877 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 0*v + 56. Suppose -v = 4*i + 2. Let u be i\/(-2)*(-1)\/2. Is 0 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1100100?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -152717900 rounded to the nearest one hundred thousand?\nAnswer: -152700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4\/2 + 1773*b**3\/2 - 12960*b**2 = 0.\nAnswer: 0, 15, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/81, 3, -91?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11537574 is divided by 1033.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((2 + -3 + 2)\/3)\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y + 2*y**2)*(-75 + 75 - 51*y) + (-20 + 4*y**2 + 20)*(-3*y + 6 - 6).\nAnswer: -114*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 - -1654. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 9*r + 4. Let q be n(9). Let h = 0.04 + -4.04. Which is the second biggest value? (a) 0.3 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-717)\/(-1434))\/(3\/306)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -272, -4, 0, 5, -1, -6 in ascending order.\nAnswer: -272, -6, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.3634 - -0.3634. What is the nearest to 0.2 in -3, j, 1\/9, -0.05?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h**4 + 2330*h**3 + 21870*h**2 - 65. Let f(p) = p**4 - 212*p**3 - 1988*p**2 + 6. Let d(y) = 65*f(y) + 6*n(y). What is l in d(l) = 0?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**4\/24 + 2*w**3\/3 + w**2 - 5*w. Let r(c) be the first derivative of o(c). Let j be r(-11). Solve 4*y = -y + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*c - 6*k + 12, c = -2*k + 11. Suppose -g - 6 = -3*g. Suppose g*d - 5*d = -10. Put d, c, -5 in decreasing order.\nAnswer: d, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -8, 29, 104, 229, 416, 677, 1024?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -24. Calculate the remainder when u is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201823.\nAnswer: 201823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (13 + -3 + -1 - (38 - 34))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 4*a - 15. Let v be (-16)\/(-6) + (-16)\/a. Solve -87 + v*k**3 + k**2 + 87 + k**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1556706 and 107\/7783530.\nAnswer: 7783530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k - 62 = 0. Let m = -30 + k. Let y be 11\/7 + -2 + m. Which is the closest to -1? (a) 1\/4 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(-12))\/(228\/48 - 6) + 26\/(-39).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 2*m**4 - 7*m**4 + 2*m**4 + m**4 - m**4 + (-4*m**2 + 2*m**2 + 3*m**2)*(m**2 - m + m) - 15*m**2 + 4*m**4 + 15*m**2.\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414663?\nAnswer: 3, 67, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-286)\/(-33)*(-42)\/(-2). Let y(u) = 3*u + 20. Suppose 8*h = 3*h + 10. Let a be y(h). Calculate the greatest common divisor of r and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -98 (b) 1\/4 (c) 177 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 96\/11?\nAnswer: 96\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 o when four letters picked without replacement from {u: 5, o: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-126)\/(-3))*2*1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**6\/360 - q**5\/20 + 3*q**4\/8 - q**3\/3 - 4. Let c(n) be the third derivative of p(n). Factor c(j).\nAnswer: (j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/151452 and -19\/441476.\nAnswer: 2387943684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -201 - 91 - 225 - 43*r + 28 + 42*r as p*r + c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0.03 (c) 1\/4 (d) 8169 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from jjkkjjmjk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62016416 is divided by 876.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:05 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14225 less than -42674\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-256*m + m**2 + 256*m + (m - m - m)*(2*m + 4 - 4))*(2 + 1 - 2) + (-2*m + 1 - 1)*(-20 - 9*m + 20).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20347.\nAnswer: 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 308*k + 132 = -305*k, -19*c - 904 = -2*k for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2381617, 9526349, 21434235, 38105275, 59539469, 85736817?\nAnswer: 116697319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -0.16978?\nAnswer: -0.16978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.85233s to nanoseconds.\nAnswer: 76852330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -633 > -632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from cccocoofowccfccofo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 650*f**3 - 13*f*w**3 + 21*w**3 + 29*w**2 + 4 wrt f.\nAnswer: 1950*f**2 - 13*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/7 and (-50)\/4*(-115)\/75.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*w + 126*w - 208 = 0. Calculate the greatest common divisor of w and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 2 (c) -66480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-114)\/(-12) + 2\/4. Suppose 5*c - v = 0, -5*a - 15 = 3*c - 116. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(102)\/(sqrt(6) + sqrt(96)) - (-6*sqrt(34)\/sqrt(72))**2.\nAnswer: -17 + 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61673.9ml to litres.\nAnswer: 61.6739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5 + 4 = 3*r, -5*h - r + 23 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 5*k - 2665*t + 2661*t, -10*k - t - 11 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*0\/2. Let s be -7 - (4 - (4 - 3)). Let d(w) = w**2 + 8*w - 10. Let x be d(s). Solve h = 2*i - 0*i - x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t - 20. Let q be 1 + -3 - 5\/(-1). Suppose -2*z - q*l = -20, 0 = t*l - 7 - 1. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1463.9 and 2259.\nAnswer: 3306950.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 143 divided by 5\nAnswer: 143\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (1\/(-1) + 238)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 20*q**5 - 1292*q**4 + 708*q**3 + 3836*q**2 + 280*q - 1536 = 0.\nAnswer: -1, 3\/5, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2125.112 (c) 0.07 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 559\/4 - 140. What is the closest to -53 in -1, -2\/7, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:12 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -963\/179257 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppphpppppppphpphpph. Give prob of picking 4 p.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408935 and 2312?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -19 + 8 + 12. Let t(z) = z - 3. Let l(v) = 2. Let p(s) = -2*l(s) - t(s). What is -2*h(d) + p(d)?\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*-57.\nAnswer: -85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49102 - 48587. Which is smaller: p or 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/108 + (-3)\/(-36). Solve 4*w + g*w = z + 7, -2*z = 4*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 2*y - 3. Let h be d(2). Suppose 2*g - 6*g - 1 = -h*w, -2*g - w + 17 = 0. What is the tens digit of -9*g\/2*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 11) to base 7\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o + 8. Let g(x) = 15*x + 23. Give 6*g(p) - 17*k(p).\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**3 + 8*d - 15. What is the least common multiple of 24 and n(-3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1093*o**3 + 581*o wrt o?\nAnswer: -6558*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/5)\/(1\/(-10)). Let c(j) = -4*j - 24 + 61 - 17 - 2*j**2 - 25 + j**2. Calculate c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 0*v**2 - 7*v**4 + 2*v**4 - 1 - 2*v**3 + 3 - 2*v in the form m + b*v**4 + t*v**3 + u*v + d*v**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 50 = -3*q - 6*s, s + 22 = 29. Suppose 9 = 5*k - 2*k. Let p be (1 + 1)\/(2 - k). Let i(r) = r - 2. Let d(b) = 3*b - 4. Determine p*d(x) + q*i(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 10*p + 26. Let z be h(7). Let f(n) = -39*n - 2. Let d be f(-2). Let b be 4*(d\/(-32) - z). Which is bigger: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5903 is divided by 2924?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -344*l + 52270. Determine r(152).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -21*q**2 - 4*q + 11. Let j(u) be the first derivative of -4*u**3\/3 - u**2\/2 + 2*u + 102. What is -11*j(f) + 2*r(f)?\nAnswer: 2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 11*m**2 - 54*m - 14. Let c be b(12). Let f = -9840\/19 - c. What is the second smallest value in 0, f, 1\/3, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/10 and -39\/3377?\nAnswer: 33770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -23, -9, 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3247*y - 63 = -3239*y + 3*m, -y - 2*m = 16 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 4*y + 4. Let k(l) = -9*l - 66. Let m be k(-7). Let q(b) = -5*b**2 - 9*b + 9. Let o(g) = m*q(g) + 7*i(g). Determine o(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -68, -1\/2, 0.4, 6 in increasing order.\nAnswer: -68, -1\/2, 0.4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1857 - 2066 = 19*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -721, -1582, -2779?\nAnswer: -4312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -74*i**3 - 3*i**2 + 6. Let a be r(-2). List the prime factors of a + 4 + 10\/(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 25 = 5*q, -4*h - q - 10 = -8*h. Suppose 3*u = -h*m + 4*u - 14, -3*u = -15. Let y(k) = -k**3 - 7. Let r(b) = -3. Calculate m*y(a) + 7*r(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -25, 4430 in decreasing order.\nAnswer: 4430, 3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60247 + 29842 = 125*r - 23905 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(18)*-2)\/sqrt(6))*5 + -1 + sqrt(300)*1)**2.\nAnswer: -50*sqrt(3) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*v - 11092 + 11134 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -30. Suppose -w - 20 = -4*x + 62, -3*w = s*x - 111. Calculate the least common multiple of x and 132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102048 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329026*z + 329014*z - 658040*z - 8*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.4 - 21. Let w = 3.4 - n. Let t = -5.000022 + w. Round t to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 24003.39 minutes?\nAnswer: 1440203400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -93090, -186172, -279254, -372336, -465418, -558500?\n\"Answer: -93082*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.034 + -46. Let s = -0.066 - v. Let w = 1\/63 + -23\/126. What is the closest to s in 0, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2925.429 millilitres in litres?\nAnswer: 2.925429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 9697440. Let m(t) = 2*t. What is w(m(a))?\nAnswer: 2*a + 9697440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13977 is divided by 1302.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 257\/159?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 12*f + 21. Let s(g) = -g + 8. Let z be s(-6). Does 33 divide d(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -337 + 367. Suppose a + 2*j - 3 = 0, -g*j = -3*a - 25*j + 9. Solve 0 = 3*t + 2*q - 4, -a*t + 5 = q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + x**2 + 3*x - 60. Determine u(0).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -130882*c + 2. Let x(s) = 5*s**2. Determine m(x(v)).\nAnswer: -654410*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*t = -97*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 165170712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(128) + -2)*6 + (5*(sqrt(128) + -2) - sqrt(128) - sqrt(128)) + -3 + sqrt(128) + 2 + -1)**2.\nAnswer: -4800*sqrt(2) + 13700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -4 - 3 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9865, 98, 2\/9.\nAnswer: 2\/9, 98, 9865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1597*k**3 - 10*k**2 + 6*k + 3. Let p(n) = -1598*n**3 + 8*n**2 - 6*n - 3. Let r(i) = 7*p(i) + 6*u(i). Is 68 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 6*r**2 - 2*r + 6. Let u be f(6). Let l(w) = -2*w - 1. Let s be l(u). Find the second derivative of -12*c + 201*c**2 + s*c**4 - 201*c**2 wrt c.\nAnswer: 132*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 109712\/265 and 413 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 8180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 5*t - 2*t + 7*t + 5*t + 5*t**2 - 1 + 6. What is c(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 30634170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7079 is divided by 253.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 63.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 145*q + 72*q + 70*q to the form u + k*q and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4882 = 4*j - 5*z, 12*j + 5*z = 7*j + 6125. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2583 + 2155 - 5498 - 8238)*(-r**5 - 2*r**5 + 0*r**5).\nAnswer: 42492*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1748 greater than or equal to 838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8785698 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 144*-0.5\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 45 = 3*b, -b + 75 = 4*b - 3*k. Let f(r) be the third derivative of b*r**2 + 0 + 0*r - 1\/3*r**3 + 1\/12*r**4. Calculate f(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 47 + 3 - 5)*(38 + 87 - 1 - 5) to h + i*l and give h.\nAnswer: 5355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1648854316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2579483 - 4?\nAnswer: 2579479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/823, -5, 32\/7, -4, 2\/13, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from llhllllhl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*s = 320, -5*s - 25 = -0*s. Let f = t + 166. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15284*(1\/(-7))\/((-28)\/49) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-65))\/(4\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 5. Suppose -u + 10 = -6*u. Let z = f - u. Solve 2*r = l - 12, z = -3*l + 2*r + 2*r + 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 3*m**2 - m. Let i be u(-3). Is (-2*i)\/((-6)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(29*s**2 + 262 - 262)*(-2 + 5 - 4)*(34*s - 34*s - 62*s**3).\nAnswer: -5394*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whwjymjs. Give prob of picking 2 w, 1 j, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2. Let i(k) be the second derivative of -7*k**3\/6 + 171*k + 3. Calculate i(u(w)).\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:58 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let a(y) = -3337*y + 4. What is a(z(i))?\nAnswer: -3337*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c**2 + 16*c - 17. Let y(l) = -4*l**2 + 5*l - 6. Let a(v) = -3*d(v) + 8*y(v). Let f be a(8). Factor 23*h - 64*h**2 + 62*h**2 - f*h - 50.\nAnswer: -2*(h - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35952389.\nAnswer: 11, 19, 172021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9417 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 6*t + 103 - 91, -3*d - 2*t + 5*t = -3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/15)\/(1\/3). Calculate the greatest common divisor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22 - 0.42. Let l = -8 - -4. Which is the nearest to -2\/7? (a) -1\/8 (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86 + -2?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*v - 17 = -5*p + 274*v - 138*v, 311 = 59*p - 4*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19131192373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -1 + (34 - 20) + 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-1156)\/(-153)))\/6\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6218.19136 plus 20.0641?\nAnswer: 6238.25546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6990794?\nAnswer: 2, 3495397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 708292 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8016 divided by -13?\nAnswer: 8016\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 15 + 49 + -65?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 u when three letters picked without replacement from {d: 1, a: 2, v: 2, u: 2, x: 1, g: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (1 + sqrt(1053))*-3)**2 - sqrt(1053).\nAnswer: 207*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(875)*3 + sqrt(875)))\/(sqrt(7)*-2*1 - sqrt(7)) + (-2*-1*(sqrt(320) + 1 + sqrt(320))*4)**2.\nAnswer: 6163*sqrt(5)\/3 + 81984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 71*a - 74*a - 24, -3*j - 20 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339725 is divided by 272.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - t + 2, 2*t = -0*t - 12. Let x = 8 - 8.03. What is the third biggest value in 0.4, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/13 - 180*y\/13 - 4050\/13 = 0. Calculate y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 1, 0, 2.\nAnswer: -30, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -21. Suppose m - 1 = 5*w, -m = -z*m + 5*w - 11. Let y(d) = d**2 - 6*d - 7. Calculate y(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 7, q: 6, k: 2, u: 3}. Give prob of picking 2 k.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0*n**3 + 1\/6*n**4 + 0*n**2 + n + 0. Let r(j) = j + 3. Let s(b) = -2. Let o(f) = 2*r(f) + 3*s(f). Calculate o(p(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104567859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12119*c**2 + 3*c - 2. Let d be q(1). Suppose n + d = 25*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let g(j) = -9*j - j + 6 - 4 - j**2 - 2. Determine r(g(w)).\nAnswer: -w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 + 64*t - 1415. Determine r(-35).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1897249, -3794569, -5691889, -7589209, -9486529, -11383849?\n\"Answer: -1897320*x + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 + -54)*1*(-2)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1116 = 4*h - 2*n, 2*n = 3*h - 851. List the prime factors of h.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**4 - 4*q**3 + 23*q - 24128?\nAnswer: -4*q**3 - 12*q**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from syssmzzztzyyzma?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(9\/5))**(-6\/23)*(h\/h**(-12\/5))**(-6\/13))**(-18\/13) assuming h is positive.\nAnswer: h**(54864\/19435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - a + 2*a = 10, -5*q + 30 = -3*a. Suppose 4*y + 0*y - 7812 = -q*i, 2*i = y + 5197. What is i rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 3*a - 1. Let j(g) = -g**3 + g**2 - g - 2. Let v be j(0). What is c(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2995, -5962, -8929?\nAnswer: -11896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**5\/3 - 4*q**3\/3 + 2*q**2\/3 + q - 2\/3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (986\/29)\/((-76)\/(-38)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -28*l**2 + 32*l + 21. Let u(b) = 13*b**2 - 16*b - 10. Determine -6*r(x) - 13*u(x).\nAnswer: -x**2 + 16*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68146 > 68145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (sqrt(637) + -1)*6 + (sqrt(637)*2 + 5 - sqrt(637) - sqrt(637)))**2.\nAnswer: 168*sqrt(13) + 22936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(432)\/(sqrt(27)\/sqrt(3)) + -2 - (-2*(sqrt(3) - (sqrt(6)\/sqrt(2) + 3)) + -5)))**2.\nAnswer: -24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -28, -45, -68, -97, -132, -173?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 - 267416*c**4 + 5966124592*c**3 - 44571879066968*c**2 + 3397233780083404*c - 3352667866873616 = 0.\nAnswer: 1, 76, 22259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let g be l(-3). Suppose 5*s = -4*f + g*s - 1011, -3*s = 3. Let v = -138 - f. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 3. Let j(y) = -y. Suppose -g + 3 = -0. Let z(h) = g*j(h) + a(h). Calculate z(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5588*z**2 - 1379.\nAnswer: -11176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1002\/(-2*((-5)\/10)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11582.5 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 19*f**2 - 2*f - 24. Let r = 346 + -194. Suppose -5*d - 5*p = -275, -5*d + 5*p + 123 = -r. What is the remainder when d is divided by k(-19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**2 + 0*c**2 - 2*c**2 + (-4*c + 5*c - 3*c + (c + c + 0*c)*(-4 + 3 - 2))*(46*c + 368 - 368) in the form p*c**2 + t*c + b and give p.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 - 73. Suppose -4*h + b = i - 5, -i - 5*h = -3. Suppose i*u = 18*u - 500. Calculate the remainder when u is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5270230, 5270297, 5270364?\n\"Answer: 67*l + 5270163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 23*z + 5. Let a be g(0). Find the third derivative of 4*y**2 - 988 - 5*y**2 + 1005 - 90*y**a wrt y.\nAnswer: -5400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnt when three letters picked without replacement from wttcttcnnnncng?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2 - 150*f + 781. Calculate x(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.81 + -4.81. What is the biggest value in -0.5, -1\/5, z, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.66782 litres in millilitres?\nAnswer: 34667.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9395 - 3649 = -3*a. Suppose 4*i + 2*w = -8692, 2*i - 3*w + a = -5*w. Is 21 a factor of (-3)\/4 + i\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 30*z. Let t(b) be the second derivative of b**4\/12 + 62*b + 1. Calculate i(t(d)).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 40*15\/10. Let v = b - 38. Let m be (v\/(-21))\/(2\/14). Let j(z) = z + 6. What is j(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11.99, 5, 1?\nAnswer: -11.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/4 (b) -1 (c) 4\/5 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 15 = -3*m, 4*q = m - 0*m - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 38 = -5*x. Suppose -x*o + 24 = -4*o. Solve -2*y + o*y = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f + 2*f)*(5 - 3 + 0) + (7 + 2 + 15)*(3*f - 2*f + 5*f).\nAnswer: 146*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, 5, -0.1, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 6*i - 1. Let t be s(4). What is the third derivative of -h**6 - t*h**2 - h**6 + 0*h**2 - 2*h**6 wrt h?\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 53 = d. Put -5, d, -2 in decreasing order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/7 - 4\/35. Sort b, 2, 0 in descending order.\nAnswer: 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + 1. Calculate the remainder when 112 is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 - (-2700)\/204)\/(2 - 0). Put 1, a, -3\/8, 0.4 in decreasing order.\nAnswer: 1, 0.4, a, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/19)*z**(-4\/9))**(-46) assuming z is positive.\nAnswer: z**(2668\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 4. Suppose 0 = -5*q - 3*p - 11, q + 5*p - 7 = -q. Let m be v(q). Solve m = i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4110 is divided by 1347.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1625a3 - 11?\nAnswer: -162604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 265.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 217, -0.4, -165?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -5 - (-3)\/(-9)*0. Solve 2*q - 2 = v*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = 96 - 45 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Suppose 248 = 3*a - a - 5*y, n*a + 4*y = 372. Let v = a - 129. Let m(r) = r**2 + 4*r + 1. Calculate m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 50.4811.\nAnswer: 50.6811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iur when three letters picked without replacement from {q: 4, r: 2, u: 1, i: 4}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 d when three letters picked without replacement from {q: 2, k: 1, t: 2, d: 3, y: 3, x: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20.667 and -11.\nAnswer: 9.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19100 and 2836900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h**2 - 10*h + 10*h)*(13*h**2 + 20 - 20)*(2 - 2 - 2*h).\nAnswer: -286*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**5 + h**4*y - 6*h**3*y - 2*h - 10*y - 10 wrt h.\nAnswer: -60*h**3 + 12*h**2*y - 36*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 u when four letters picked without replacement from mmwmmmmmmmmmmum?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 0 - (305 + -308) - (19 - -1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -453738*z - 1. What is t(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25*2443.9\nAnswer: -61097.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 7. Let r(f) = -1. Give -40*r(q) + 5*z(q).\nAnswer: -5*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -10*v + 14. Suppose 25 = 5*t + v*w, -3*t + 0*t = -5*w + 16. Solve -7 = -4*y - 3*r - 2, 0 = 5*y - t*r + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -22?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-462)\/154*(-2)\/(-14)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 0*q + 40. Let n be 4\/q - (-2)\/4. Let r = 14931\/11 + -1357. Which is the fourth biggest value? (a) n (b) 0.4 (c) -5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, 3, 1, 0.68, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7412 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:51 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + l - l - 3*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14106758, -28213521, -42320284, -56427047, -70533810?\n\"Answer: -14106763*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2551943.\nAnswer: 2551943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*h**5*z + 2*h**3*z**2 + 68*h*z**2 + 2 wrt h.\nAnswer: 240*h**3*z + 12*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 6:00 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**6\/135 + 13*z**5\/90 - z**4\/18 - 41*z**3\/27 - 26*z**2\/9 - 283*z - 2. Suppose v(i) = 0. What is i?\nAnswer: -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/(4\/24). Find the second derivative of n**3 - 2*n**3 - 6*n - 1 - 406*n**h + 394*n**2 wrt n.\nAnswer: -6*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4*-1*2\/(-60)*(-490)\/2058).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*j**2 + 4\/9 - 2\/9*j + 2\/9*j**3.\nAnswer: 2*(j - 2)*(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 4:46 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7935585 = 5*z + 5*t, -5*z + 7935593 = 18*t - 17*t. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 6299 + 2036 = 0. Let z = 40 + 11. Calculate the remainder when f is divided by z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 270060 = -3*t, 4*x - 360055 = -4*t + 3*x. Suppose 7*k = 3*s + 2*k - t, -5*s = 3*k - 149991. Round s to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 3:52 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220780 and 20.\nAnswer: 220780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003062196 rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 1. Let j be i(1). Let f = -1 - j. Let m = -2884 + 2884.5. Which is the second smallest value? (a) m (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3198897\/1368 + 6\/(-16). Does z = 2338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 8) to base 12.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29387.\nAnswer: 29387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13438724, -53754880, -120948472, -215019500, -335967964, -483793864?\n\"Answer: -13438718*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 224*l**2*q + 15*l**2 + 200*l - 128284*q**4 + 46 with respect to q.\nAnswer: 224*l**2 - 513136*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55625?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 + 166. Suppose 7*z - 420 = -8*z. Calculate the greatest common factor of z and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/(-3*(-15)\/270).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 176 = -69. Let s = c - -104\/3. Let a be (-14)\/3 - (-1)\/(-3). Put 3\/4, s, a in descending order.\nAnswer: 3\/4, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 1. Let o be l(-4). Suppose o*z = 5 + 10. Suppose 10 - 2 = 4*y - 2*a, 3*y - 2*a - 4 = 0. Calculate the remainder when y is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 - 10*f**3 + 8*f**3)*((8*f - 2*f - 2*f)*(-f + 2*f + 0*f) + 0*f**2 + 5*f**2 - 2*f**2 + (5*f - 3*f + 0*f)*(0*f + 0*f + 5*f) - 2*f**2 + 5 - 5).\nAnswer: -105*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6112153*i**4*n**3 + 12*i**4 - 68*i*n**3 - 21675*i*n**2 - 9 wrt i?\nAnswer: 73345836*i**2*n**3 + 144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 7*y - 27. Let w(j) = j - 3. Let k be w(3). Solve 0 = -l - k*l + 1, -v + y = 3*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 38.5554.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 9*k + 137. Determine p(0).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 10 + 23 + 167*t - 508*t + 92.\nAnswer: -341*t + 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 702 and 51327.\nAnswer: 1334502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 1626848?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*g - 17. Let n be -2 - 8*(-27)\/36. Suppose 3*s = -15, -g*l = s - n*s - 47. Calculate the highest common divisor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2913*n + 5822*n - 2910*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -2*j**5\/55 - 93*j**4\/22 + 808*j**3\/11 - 4976*j**2\/11 + 13440*j\/11 - 13101. Factor x(m).\nAnswer: -2*(m - 4)**3*(m + 105)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(4\/5 - (-132)\/(-15)). Let s(a) = -a**3 + 15*a**2 + 20*a - 24. Let d be s(m). Let b = 183 + d. What are the prime factors of b?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00186224077 to 5 dps.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755\/(-234)*4\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*(42\/1449)\/((-12)\/9)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/3 - 582518*h**2\/3 - 14135818256*h + 410102044896.\nAnswer: -2*(h - 29)*(h + 145644)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -892, -1797, -2714, -3643, -4584, -5537?\nAnswer: -6502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + q + 42 = 5*q, -3*k + 4*q + 6 = 0. Solve 13 = -4*n - y, k*n = 4*n + 2*y - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 2257 = 888563. Round x to the nearest one thousand.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 - 5*a + 5. Let j be f(2). Let o = j - -26. Factor 5*y + 4*y**3 - 4*y + 0*y - o*y**3.\nAnswer: -y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + sqrt(343) + (sqrt(343) + sqrt(343) + 5 + sqrt(343))**2 - sqrt(343)) + (2*sqrt(343)*3)**2 + -2*sqrt(343)*3.\nAnswer: 168*sqrt(7) + 15469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172 and -0.98.\nAnswer: 168.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 30902916, 4.\nAnswer: -2, 4, 30902916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k**7*k)\/k))*k\/k**(-4\/3)*k**(-2\/5)\/k**3)\/((k**(1\/9)*k)\/k**(-2\/21))**(-16\/3) assuming k is positive.\nAnswer: k**(11687\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - ((-230)\/(-68) + (-1)\/(-2)). Which is the second biggest value? (a) 2 (b) -5 (c) l (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in -11\/16, 2, -4.2?\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1458356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 + 13*l**2 - 3013*l - 20402. What is j(-7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 349699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2438*l**2 + 2437*l**2 + 0 + 4*l**4 + 2*l**3 in the form h + x*l + g*l**4 + b*l**3 + a*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (2 - -13) - (3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + z + 2. Let k(f) = 219*f**3 - 13*f**2 + 7*f + 14. What is -k(b) + 7*r(b)?\nAnswer: -219*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 31*j - 26*j - 177, 4*u - 3*j - 393 = 0. What is the smallest common multiple of u and 16?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(1 - 1 + 2*k) - 2*k + 5*k - 5*k - 6*k + 2*k + 5*k + 5 + 0*k - 2 + 6*k.\nAnswer: 9*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 20, 3, 13 in ascending order.\nAnswer: -7, 3, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -24*f - 9. Let m(w) = -11*w - 4. Calculate 3*a(h) - 7*m(h).\nAnswer: 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 14) to base 12\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 838 + -839. Let v(q) = -717*q - 58. What is the tens digit of v(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m. Suppose -88 = 3*a + 3*f + f, 5*f = -5. Let i = -26 - a. Let j(s) = 21 - 2*s**i + 21 - 42. Determine y(j(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from lwkqlvb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5219.4 times -2.14?\nAnswer: -11169.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 481418659\/3395 + -992345\/7. Let b = v - 387\/10. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -954 divided by 159.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 49*r**2 - r. Let b(m) = -4*m**2 + 58*m - 98. Calculate the lowest common multiple of b(12) and f(1).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -716 divided by -6.\nAnswer: 358\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94068 * -71.6.\nAnswer: -6735268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -323*i + 322*i + 6. Let t be 6\/(-15) - (6 - i\/(-10)). Let b(r) = 24*r**2 + 5*r + 5. Let h(c) = -36*c**2 - 7*c - 7. Give t*b(x) - 5*h(x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gehl when four letters picked without replacement from eggppelnnghhpn?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 586*c**3*m*s + 1081178*c**3*m + 93925*c*m**3*s - 6*m**3 with respect to s.\nAnswer: 586*c**3*m + 93925*c*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1544142 is divided by 71?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*n**3 + 4*n**4 + 7 + 95*n**3 - 2*n + 1 wrt n?\nAnswer: 48*n**2 - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.53 + -2.53. Let k = 20 - 59\/3. Which is the fourth biggest value? (a) p (b) -3 (c) -1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111001 - -11001101110100?\nAnswer: 11010001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 - 4.87. Suppose -2*q + 3*q = -4*s - 4, 4*s = 2*q + 8. Let z be (s - 1\/(-15))\/(18\/30). What is the third biggest value in f, -0.3, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.04. Let w = 0.2 - 0.16. Let v = w + i. Which is smaller: v or 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31751, 21, -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 18*u**2 - 2*u + 11. Determine p(18).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t + 2. Let q be x(-1). Let s(k) = 6*k**2 - 5*k + 3. Let d be s(3). What is the greatest common divisor of d and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494093875?\nAnswer: 5, 11, 227, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101102 - 120111321?\nAnswer: -120010213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355271*a - 21 = 5*l + 355269*a, -3*l - 21 = 3*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.25 or -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -17. Calculate the highest common divisor of p and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 64 + 199 = 0. Suppose -943 = -16*x - 511. Calculate the highest common factor of w and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, h: 2}. What is prob of picking 4 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqa when three letters picked without replacement from {q: 2, a: 11}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/563277 and 52\/9?\nAnswer: 1689831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*r = 5069016, 0 = -p - 3*r - 2659807 + 125309. Let n = p - -1794513. Round n to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -149*w + 504. Solve -6*c + 2*q - 28 = 0, -w*c + 4*q + 10 - 34 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -d + 12, 5*d + z - 9 = 3. Let k(b) = 49*b**2 - 5*b + 12. Let h be k(d). Calculate the highest common factor of h and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -25) + -9 - (-2 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 15781.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwkkwww. What is prob of sequence www?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 13*i**2 - 20*i - 415. What is w(-10)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 365019 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 960227406 to the power of 1\/3, to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3528656432?\nAnswer: 2, 7, 29, 719, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -455 + 2*q - 4*q**2 + 470 + 2*q**2 - q in the form a + t*q + b*q**2 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, y: 2, h: 4, m: 6, r: 3}. Give prob of picking 1 y, 2 w, and 1 m.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/1*5320\/(-7315)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o = 4*t - 3142 + 3222, 3*o + 2 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.154 - 5.2. Let h = z + 0.446. Let f = 0.1 + 0. Which is the second biggest value? (a) h (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrrrrsrrs.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -24 + 1\/2*j**2 + 0*j. Let u = -15 + 11. Determine w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01456 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 192 + -327. Let x = 189 + o. Calculate the remainder when x is divided by 7\/2*(10 - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259224242 is divided by 3189.\nAnswer: 3188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, -67, -91, -117, -145, -175?\n\"Answer: -m**2 - 19*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 3. Let y(l) = l**2 - 11*l + 12. Let o = -33 - -69. Suppose 0 = 5*u - 14 - o. Let t be y(u). Calculate f(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**8\/168 + 4*v**7\/105 - 17*v**6\/20 + 47*v**5\/15 + 7*v**4\/3 - 40*v**3 - 2*v**2 - 391. Suppose c(l) = 0. What is l?\nAnswer: -10, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24677700 divided by -82259\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 8. Let b = v - -3. Suppose 10 - b = 4*n. Solve 0 = n*p - 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 542 divided by -9\nAnswer: -542\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-3)\/(24\/292)))\/(446\/(-446))?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(173\/(-25) - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -8 + (1 - -3) + -4 - (70 + -65)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.96046us in hours?\nAnswer: 0.00000000082235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22174135*h**6 + 3945*h**2 + 446 wrt h.\nAnswer: -2660896200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 10. Let u be s(-7). Let k = 1.1 + -0.1. Let b(r) = -r**3 + 12*r**2 + 14*r - 13. Let n be b(13). What is the nearest to n in k, u, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**2\/3 - 10960*q\/3 - 43904\/3 = 0.\nAnswer: -4, 2744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/3 - x**2\/2 - 2*x + 3. Let m be u(-3). Calculate the greatest common factor of m and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41396 - 41396.3. Let l be -4*((-2)\/2)\/2. What is the second smallest value in s, -2\/35, l?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 144*y + 721. What is w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1, -1\/4, 3\/23 in increasing order.\nAnswer: -5, -1\/4, 3\/23, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by 4?\nAnswer: 185\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/63 and 562403.01 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 21*w - 18*w + 27, -2*x - 4*w = 44 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(243) + sqrt(243) + -4)**2.\nAnswer: -144*sqrt(3) + 985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 - 110. Suppose 3*m = c*m - 540. Solve -4*l = -l + h - 14, -5*l + m = -2*h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9752 - -9752.1449. What is j rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)*y**(-1\/4)*y**(-9)\/((y\/(y\/y**(-9\/4)))\/y)*((y**4)**(-8))**(4\/33) assuming y is positive.\nAnswer: y**(-491\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289712109?\nAnswer: 7, 137, 167, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(2\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-12))\/((-2)\/20). Let u = -11388 - -34162\/3. What is the closest to u in h, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6490 and 2006.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -24 and 35.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let c = -3 - -5. Let z(o) = 0*o**2 - 3*o**2 + 2*o**c. Give m(z(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from essfeeesjessfeee. What is prob of picking 1 f and 1 j?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1903, 15167, 51159, 121243, 236783, 409143, 649687, 969779?\n\"Answer: 1894*n**3 + 6*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 19\/23648 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6848064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-192)*6 + 2\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10411206*h**3 - 10411202*h**3 + 133*h - 133*h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1113888 - 2019549\nAnswer: -905661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 48579 = -b, 0 = -2*p - 682*b + 687*b + 24267. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 50. Let l be (-1 - 35)*n\/(-6). Suppose -m = 2*m + l. What is m rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 25 = -3*f, -c + 5*f = 2*c + 19. Suppose -r - 35 = -c*s + 2*r, -s = -4*r - 10. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 21 = -0*p - v, 3*p = -3*v + 63. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 28 = 9*g. Let d = -464 + 472. Let c = g + d. Solve -c - 2 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2488485*p + 1001694?\nAnswer: -2488485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20395.\nAnswer: 5, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448965 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -141 + 120. What is the derivative of 9*f**4 - f**t - 18 + f**3 - 85 wrt f?\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 10, c: 7}. What is prob of sequence raa?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2890*w + 20266. Let r be v(7). Suppose -2*j + 5*j = 5*b + 34, j + b - 6 = 0. What is the greatest common factor of j and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*u - 5*k, 0 = 3*u - k - k - 18. Suppose 0 = 18*n - 26*n + 224. What is the remainder when n is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 280.9 - 281. Which is the fourth smallest value? (a) -2 (b) 3 (c) g (d) -0.087\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 10 - 7)*(-z + 0 + 0*z - 2).\nAnswer: -10*z - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 161, 284, 601, 1208, 2201?\n\"Answer: 16*g**3 + g**2 + 8*g + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -7510 (c) -2 (d) -286\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 553\/9 in 0.5, -0.4, -5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = 0. Suppose r = 3*z - 0*z - 12. Suppose g + k + 3*k - 48 = 0, -3*g = 4*k - 104. Calculate the highest common factor of g and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3)*g)**(-1\/24)*(g**0\/g)\/g*g\/(g*g\/((g**(2\/7)\/g)\/g)*g) assuming g is positive.\nAnswer: g**(-953\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42641630 (base 7) to base 13.\nAnswer: 9a60b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/(-85)*10\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 7*g**2 + 6*g - 4. Let m be (-3)\/(9\/2) + 240\/36. Give w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*o = 113*o + 11564. Let s = o - -416. Solve -4*m = -6*m + z - 3, 0 = s*m + 5*z - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-6 - -11 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6394064 is divided by 1096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27287342 to the nearest integer?\nAnswer: 5224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -45*j. Let b(c) = -299*c + 8. What is r(b(s))?\nAnswer: 13455*s - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b + 38. Determine i(22).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 6*t**2 + 11*t**2)*(-t**2 + 2*t - 2*t + 1) + 0*t**4 - t**4 - 3*t**4.\nAnswer: -5*t**4 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -48. Suppose 0 = -2*s - 0*s + c. What is the third derivative of 0*w**5 - 6*w**5 - s*w**5 + 5*w**2 wrt w?\nAnswer: -660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -5 + (1 - (0 - 4)). Suppose 5*d + n - 26 = 0, -4*d = -q*n - 6 - 12. Suppose 0 = -d*t + 66 + 49. Calculate the highest common factor of t and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*z - 7*z - 4*z + (z - 4 + 4)*(-3 + 1 + 3) - 3*z + 2*z + 2*z + 16*z + z - 5*z to m*z + g and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37.1 and 0.715.\nAnswer: -26.5265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -27, -54, -97, -162, -255, -382?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 o, and 1 k when four letters picked without replacement from eokooqoeqeeqo.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 495251691*o**3 + 6*o**2 + 1959974*o wrt o.\nAnswer: 2971510146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - c + 3. Let j(a) = -6*a + 23. Calculate j(x) - 4*u(x).\nAnswer: 4*x**2 - 2*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - c + 28 = 0, -8*a - 204*c + 208*c + 56 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3656595 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7092 = -3*q - 15*q. List the prime factors of q.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012418068 rounded to 7 decimal places?\nAnswer: 0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 6. What is x(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17643531, -17643530, -17643529, -17643528?\nAnswer: -17643527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-16)\/(256\/24))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 57*m - 18. Let c be z(-11). What is the derivative of -67*h**c + 120*h**4 + 253*h**4 - 289 wrt h?\nAnswer: 1224*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0\/1)\/(-1). Let d(o) = o**2 + 4*o - 2. Let m be d(q). Let v be (15\/25)\/(m\/(-15)). Is -3 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4 + (-11)\/46)\/((-252)\/(-84))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 15.6. Let h = 0.3 - 0.2. Let k(n) = -n + 4. Let w be k(8). Sort h, i, w.\nAnswer: w, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2.1. Let j = 69\/4 + -17. Let y = 87 - 86. What is the nearest to g in j, -2\/5, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - x - 3*x - 12 = 0, -5*z - 2*x - 12 = 0. Let p = 3 - z. Suppose p*i + 301 = q + 3*q, 5*q = 5*i + 380. What are the prime factors of q?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9*d = 0. Suppose d = c - 6 + 3. Suppose c = t + 3*z, 4*z + 27 + 64 = 5*t. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -364019*f**5 - 5*f**4*x - 24508*f*x - 2*f + 33*x wrt f.\nAnswer: -7280380*f**3 - 60*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-330*x**2 + 1105666 - 1105666)*(-1 - 7 + 4) as f*x**2 + p + s*x and give f.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-35) - (-2)\/10. Determine b so that 2*b - g - 10\/7*b**2 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/3)*w)*w*w*w*(w\/(w*w\/w**(-14)*w))\/w)**(-1\/9) assuming w is positive.\nAnswer: w**(44\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37462980 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 5109523 + 6*g - 5109517 - 4*g**2 - 2*g**2. Let j(d) = 3*d - 4. Let x be j(3). Give h(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 6:04 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9402785 + -9402785.70000006. Let u = f - -0.7. Round u to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.36977 millimeters in centimeters?\nAnswer: 5.336977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 20*i**3 + 5 - 22*i**2 + 21*i**2 + 7*i - 5*i + 24*i**3 to d*i + t*i**2 + f + h*i**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:42 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4624\/(-12))\/(-4) + (-2)\/6 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26505 and 128250?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17102159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 19. Let t(a) = -56109*a**2. Give u(t(q)).\nAnswer: -56109*q**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -44*(0 - 3 - (-10)\/4). Let h(t) = t**2 - 21*t - 16. Let f be h(o). Suppose f*w = 8*w - 36. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 0, 68 = 4*r + 3*u - 76. Solve 2 = -s + 3*h, -s - 41*h + r*h + 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, 8\/32603 in ascending order.\nAnswer: -4, -0.5, 8\/32603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1069\/5 + 213. Let k = 4.23 - 4.419. Let m = k - 0.011. Which is the nearest to m? (a) 2\/9 (b) x (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 579426, 2317721, 5214880, 9270903?\nAnswer: 14485790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 + 20 - -9 - (1 - -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46217?\nAnswer: 113, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + sqrt(2)*2 + sqrt(6)\/sqrt(192) + ((sqrt(18)\/(sqrt(90)\/(1*sqrt(10))))**2 - ((4*sqrt(242)*1 - sqrt(242) - sqrt(242))**2 - sqrt(242))).\nAnswer: -973 + 105*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15123 - 7115.\nAnswer: 8008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -12*y - 1. What is the lowest common multiple of (-4)\/(-10) + 8\/5 and x(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -70, -133, -230, -373?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**3 - 10*b + 90 with respect to b.\nAnswer: 12*b**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 6. Suppose 6*v - h = 3*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2446121840?\nAnswer: 2, 5, 17, 1798619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -7*x + 522. Suppose -3*l = l - x. Solve w = -2*w + l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -9*g**4\/4 + 11*g**3\/7 + 27*g**2\/14 + 3*g\/7 - 1005. What is y in w(y) = 0?\nAnswer: -1\/3, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384.5370816 rounded to two decimal places?\nAnswer: 384.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 + 359. What is the remainder when 240 is divided by x?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59472.6 and 0.2?\nAnswer: -11894.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665 is divided by 240?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 591 divided by 4.\nAnswer: 591\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14321*f - 1489399. What is b(-104)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33806*y - 67657*y + 33819*y.\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 177045 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: Is 962110723 a multiple of 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 11632*k + 8456464.\nAnswer: 4*(k - 1454)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 31*j + 629. Let l be c(14). What is the nearest to l in 0, 4\/5, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1766 divided by -3\nAnswer: -1766\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**3 - 890*g**2 = 0.\nAnswer: 0, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/3 + x**3 + 3*x**2 - 9*x.\nAnswer: -x*(x - 3)**2*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*u**4)*(-1 - 1 - 4) + (u**3 + u**3 - 11*u**3)*(-4*u + 5*u + 0*u) as o*u**2 + r*u**3 + w + h*u + b*u**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 228408.\nAnswer: 228408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*z**2 + 35*z**2 + 76*z**2)*(-3 + 4 - 2*z + 0).\nAnswer: -294*z**3 + 147*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61874275 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 11294 = 7783. Let h(n) = -4*n**2 + 6359*n - x*n. Let f(b) = 4*b**2. Calculate h(f(i)).\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(99) - (sqrt(99) + 0)) + sqrt(99) + -1 + 0)**2 - (3 + 1 + (-2*sqrt(132))\/sqrt(12)).\nAnswer: 8*sqrt(11) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2\/(-4))\/((-12)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + t - t**2 + 3*t**2. Let o = 6 + 11. What is the remainder when o is divided by z(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:09 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -50, -174, -2\/21, -3?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060485 is divided by 350?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3 - 51*s + 54*s + 3. Let b be 4\/(-6) - (-24)\/9. Let k(p) = -3*p**2 - 2*p**b + 6*p**2. Give k(o(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 11:03 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -13 + 35 + 3 + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13302 + -9167. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14 - -5)*(-6)\/(-9). Let n(c) be the second derivative of -c**4\/12 - 7*c**3\/6 - 7*c**2\/2 - 2*c. Calculate n(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18)\/(12\/36).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197 - 188. Let j = 7 + -5. Suppose -5*n + j*n + t = 0. What is the third smallest value in n, 1\/4, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 44. Let p = 5 + -5. Let r = 0 + p. Which is the closest to k? (a) -0.1 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.52 - -10. Let r = 0.02 + d. What is the third smallest value in -5\/6, -1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*y + 250 = -192*y + 123*y. What is the smallest common multiple of y and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 937497 + -328636. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(86\/6 + -13)*(-9)\/(-42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17536 and 7818496?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 48. What is f(-25)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 + 18678*z**3 + 46684440*z**2 - 186961832*z + 187036512 = 0. What is z?\nAnswer: -2053, 2, 11388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 168\/35) + (-18)\/(-10). Suppose -4 = p*j, 4*n + 4*j - 17 = -5. Let r = 15 - 13. Solve -n*a + r = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -305*z**2 - 3081*z + 62. Determine a(-10).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4081762918.\nAnswer: 2, 149, 2341, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.0612 + -0.1.\nAnswer: -28.1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1953\/837)\/((-1)\/21) + 10\/(-15)*6.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 5829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5 - 1556*o**4 + 52*o**3 + 20180*o**2 - 18672*o = 0.\nAnswer: -389, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**4 - 1945412*d**3*k - 1855*d**2*k - 4*d**2 + 1669*k wrt d?\nAnswer: -144*d - 11672472*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -73 + 17. Suppose -4*b + 3*d = -4, d = -3*b - 6 - t. Let o(j) = 3*j**3 - 3*j**2 - 2*j + 2. What is o(b)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1761154833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (50\/75)\/(((-7)\/252)\/((-5)\/(-15)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 6. Suppose 0 = -f*b + 4*i + 32, -5*i = -0*b - 4*b + 70. Suppose -2*w - 6 = -b. Solve 2*q = 4*q - 5*g + w, -3*q = -2*g + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*2\/4*(-95)\/(-19). Let q(j) = -4*j**3 + 2*j**2 - 2*j + 2. Let z(b) = 9*b**3 - 5*b**2 + 4*b - 5. Calculate v*q(s) - 2*z(s).\nAnswer: 2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - -5 - (-1095104)\/(-19280)?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/108)\/(198\/27). Do q and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*o + 939, 11*r + 4620 = 16*r - 5*o. Is r a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 790*d**4 + d**3*j - 75*d**2*u + 2*j*u - 36491*j + 10*u - 1 wrt d.\nAnswer: 3160*d**3 + 3*d**2*j - 150*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 248\/3. Let k(o) = o + 11. Let j(t) = -1. Let l(h) = 2*j(h) + k(h). Let c be l(-9). Which is greater: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-98)*-3)\/(((-3120)\/140)\/(-26))\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 10*c - 8. Calculate m(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-109*t**2 + 107*t**2 + 79*t**2) + (-2*t - 3*t + 4*t)*(0*t - 2*t + 0*t).\nAnswer: -152*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2597701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 9) to base 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1616622 and -3?\nAnswer: 4849866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/14 and -37\/5668?\nAnswer: 39676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 40812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57441861 is divided by 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-405)\/(-2)*(-308)\/(-385)*20\/36\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28*9\/(-1458) + 0 + 0 and -32\/111.\nAnswer: 2997","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 117 = -47*k + 499 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 + 7*w + 3. Let h be b(-5). Let f = h + 160. Suppose 5*y - 5*z - f = 42, 0 = -y - z + 29. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 57, 1, -4, -3, -28506.\nAnswer: -28506, -4, -3, 1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53035 + 465773 + 50802 = 6622*u for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + -2)*4 - -1*sqrt(288)*1)**2.\nAnswer: -960*sqrt(2) + 7264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17 less than -1485433307?\nAnswer: -1485433308.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 4*g + 2. Let q be m(3). Let i(k) be the first derivative of -k**2\/2 - 157. Let w(v) = 5*v + 0*v + 2*v - 6*v. Give q*w(x) - 2*i(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-7)*1674\/(-108).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -6 - 20. Suppose 3*i = -2*i + l*h - 10, 25 = 5*h. Solve 4*c - 2*a + 22 = i, -40 = 5*c - 5*a - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyllylyyyle. What is prob of sequence lyl?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 2. Let s be n(-4). Suppose 7703 = -s*j - 1879. Let k = 2874 + j. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blctlc. What is prob of sequence clb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1527*5\/(-15) + 1. What is v rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((9*(-9)\/(-405))\/((-14)\/(-7))).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 63 = 5*k - 5*x, -3*x + 9 = 0. Let f be 6\/k + (-456)\/15. What is f rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13897, -28233, -42569, -56905?\nAnswer: -71241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**2. Suppose 25 = 5*r + a, -4*r + 3*a + 15 = -5. Let v(g) = 2*g. Let d(k) = 2*k. Let q(o) = r*d(o) - 4*v(o). What is h(q(u))?\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-135*(-76)\/2850)\/(285\/25)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -12. Suppose -246 = r*u - 7690. Suppose -9*t - u + 11302 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - d + 0*d - 14937*d**2.\nAnswer: -14937*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -119 divided by -95\nAnswer: 119\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*z**2 + 3*z**4 - 419*z**3 - 200*z**2 + 100*z**2 + 304*z**3 + 4*z to l + j*z**4 + t*z + n*z**3 + i*z**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (299\/(-26910))\/(((-5)\/10)\/(4\/(-2)))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 21713976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 412 - 385. Solve q = -5*u - 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4 - 366*p**3 + 2818*p**2 - 3114*p - 6300 = 0. What is p?\nAnswer: -1, 3, 6, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 4. Let d be (-2 - 0)\/(2 - c). Is -1 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (3*(sqrt(153) + (sqrt(153) - (sqrt(153) + -3*sqrt(153) - sqrt(153)))) - sqrt(153)))\/(sqrt(72)\/(sqrt(32)\/sqrt(4))).\nAnswer: -13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {j: 1, q: 11, c: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 779\/10 - 78. What is the third biggest value in n, 4, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/45)\/((-2)\/(-24)). Find the common denominator of (65\/40)\/(o\/(-16)) and 19\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 - 3*d**2 + 7*d + 12. Let q be c(-4). Calculate the greatest common factor of 4064 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 = 3*n, 0*n - 30 = -3*d + 3*n. Let l be (d\/3)\/(2\/12). Solve -7*q + 5*q = l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 530 + -523. Find the first derivative of -84 + b - 88*y - 42 - 60 - 32 wrt y.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 greater than or equal to 7959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in 0, 1, 0.2, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 7*h - 4736. Let c(k) be the first derivative of 49*k + 277 - 11*k - h - 6*k**3. What is the first derivative of c(q) wrt q?\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 316\/21, -0.2, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/(-10503))\/(-1*(-2)\/488590). Let h = x - -628. Is 1 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*c + 11, 3*x - 5*c - 31 = 6. Let d = x + -10. Solve 16 - d = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100656922 is divided by 319.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -22. Let s be r - (2 + -1 + -3). Let i = 8 - s. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 3)*(-23 + 23 + 6*p).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(1 + (-59)\/(-6)). Let m = s - -197\/6. What is the closest to 5 in -0.2, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -460 + 10582\/23. What is the closest to -0.1 in l, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**2 + 10*w + 50. Determine n(7).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 + 6*y**5 - 2*y**5 + (-3*y + 3*y - 2*y**4)*(y + 1 - 1).\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a + 7. Let k(x) = -3*x - 1. Suppose -3*l - 5*l + 24 = 0. Let r(g) = 4*g + 2. Let c(i) = l*k(i) + 2*r(i). Determine 5*c(p) - q(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -2512*y**2 - 4471*y + 9180. What is the derivative of p(r) wrt r?\nAnswer: -5024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) -15 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 3. Let f(l) = 2*l + 3. Suppose 64*y + 389 = 5. Give y*u(x) - 5*f(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 390953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 - 1.9. Let q = n + 4.2. Let f = 8 - 12. What is the biggest value in f, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30854 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/10))**(-1\/45)\/(j**22\/j**(-22)) assuming j is positive.\nAnswer: j**(-19799\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/130 and -53\/15.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -8. Suppose 2*t + u = 6. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3434.2966 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18954 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - 5*o - o)*(-3 + 1 + 0) + (2 + 4*o - 2)*(0 - 3 + 0) in the form k*o + w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15521.\nAnswer: 11, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 90. Suppose 0 = -t - t + n. Let h = -1 - -3. Solve h*o - 4*p = -0*o + 2, 0 = -2*o + t*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 1. Let z(i) = -3*i**2 - 2. Let k(b) = 2*n(b) - z(b). Let c(t) = -1. Give 2*c(q) - 2*k(q).\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:27 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6 and -28\/9191219.\nAnswer: 55147314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2186886cm in kilometers?\nAnswer: 0.000002186886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/3)\/(((-8)\/15)\/8). Does 6 divide ((-12)\/16)\/1*2*o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/60 - 7*p**4\/24 + p**3 + 15*p**2. Suppose c(h) = 0. What is h?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19719 (b) -2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (2767\/(-2))\/((-5)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 28. Suppose -s + 2*s = 96. What is the greatest common factor of s and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/11))**(-4\/7)*(r**(-6)\/r*r*r)\/r**(-1\/4))**(23\/3) assuming r is positive.\nAnswer: r**(-36961\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 394, 3233, 10954, 25999, 50810, 87829?\n\"Answer: 407*t**3 - t**2 - 7*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 13094956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -413\/4. Is 14\/3 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.038 less than or equal to -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/((-4321)\/290 - -21)*54\/(-135)?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-10\/3)*o**(-34)\/o*o**(2\/19)\/(o\/o**(-23\/4)) assuming o is positive.\nAnswer: o**(-8507\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.984 - 0.034. Round i to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394882?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, a: 1, c: 6, l: 3}. Give prob of picking 1 l, 1 j, and 1 a.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*206836.\nAnswer: -11375980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - t - t = 2, -2*t = -2*c. Let g be 2 + -4 + -99 - c. Let z be 4\/18 - g\/27. Solve 4*o = -z*f - 24, 9 = o - 2*f - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + b**2 + b + 1. Let h(n) = -23*n**3 - 20*n**2 - 3*n - 5. Give -3*a(u) - h(u).\nAnswer: 29*u**3 + 17*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41\/21 - 9\/7. Let d = -0.2 - -5.2. What is the closest to 2\/3 in p, d, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148 + -159 + (-2 - 2) + 5 + 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2505166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(16\/10)\/(-4). Let u be 84\/m*60\/(-9). What is the greatest common factor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1193\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 d when four letters picked without replacement from {u: 7, d: 9}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 430? (a) -4\/5 (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g + 5*g)*(562 + 2220 + 86 - 431).\nAnswer: 12185*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4*o - 6)*(25*o**2 + 38*o**2 - 56*o**2 + 8) as t*o + p*o**3 + q + f*o**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -1. Let v = -2.4 - -1. Let s = d - v. Which is the nearest to -0.1? (a) -0.2 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 104603090, 209206179, 313809268, 418412357?\n\"Answer: 104603089*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4000 - 2?\nAnswer: -4002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38311, 38306, 38289, 38254, 38195, 38106, 37981?\n\"Answer: -a**3 + 2*a + 38310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4899883, -9799791, -14699699, -19599607?\n\"Answer: -4899908*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 25 = 5. Suppose -11 = -2*u - f, -2*u - f - 2*f + 21 = 0. Let l(g) = g - 2*g**2 - 3*g + 4 + u*g. Let a(q) = 4*q**2 - 2*q - 7. Give d*a(p) - 7*l(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -34*h**2 + 3*h - 2. What is u(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215242199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6425*k**3 - 88*k**2 + 11*k - 10277. Let z(y) = 3213*y**3 - 48*y**2 + 6*y - 5138. Let c(v) = -6*a(v) + 11*z(v). What is the derivative of c(p) wrt p?\nAnswer: -9621*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 207 = -2*p, 0 = -3*p + f + 295 + 14. Let c(r) = -8*r - 6. Calculate the remainder when p is divided by c(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*h - 93*h = 1822. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62631.\nAnswer: 3, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6664061, 13328117, 19992173, 26656229?\n\"Answer: 6664056*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4)\/16*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from yyyyysyoy.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -59 + (-1519)\/(-26 - 23)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + (9 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*y - 758 + 1234 = -2278 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 5*z)*(-727*z**2 - 165*z**2 + 73*z**2).\nAnswer: 3276*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*n + 30, -14*s + 18*s - 2*n - 28 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let c be 18\/(2\/z) - 0. Calculate the common denominator of -34 and c\/(-11)*51\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s - 13. Let b(t) = 13*t - 26. Let u(w) = -4*b(w) + 9*z(w). Let g be u(9). Let d(y) = y**3 - 5*y**2 + 2*y + 1. Determine d(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -88, -194, -342, -532?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n + 12. Suppose -4*c = -5*u - 8, -c + 3 - 1 = -4*u. Let o be n\/c*16\/(-12). Solve -2*j - o*i = i + 10, -3*i = j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + j = 12, -j - 21 = -2*d - 6*j. Let k be -1 + d - -151 - -2. Is (-2 - k)*1*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*l - 37 - 15, 4*l - 16 = 0. Solve 4*i - r = -5*f + f, -3*i - f = -12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18250, 36170, 54090?\nAnswer: 72010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 - 33*z - 2440. Give l(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5*v**2 + 54531*c**5*v - 2*c*v + 1016*c + 5*v**2 wrt c.\nAnswer: -20*c**3*v**2 + 1090620*c**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 11. Suppose -3*b = -c*b. Suppose 11 = j - b*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5443236959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 - -86. Let x = -22 - v. Solve -x*n + 6 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 2*a**2 - 1. Let n(i) = i**3 - i**2 + 2. Let t be n(2). Suppose 0 = -5*r - 1 + t. Is w(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -295 or -301?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 7, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*8\/(-6). Let m(z) = -3*z - j*z + z + 2*z. Let p(k) = 4*k**2 - 2. Let d(n) = -n**2 + 1. Let l(g) = 2*d(g) + p(g). Give m(l(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + (sqrt(5) - (-1*sqrt(5) + 5)))*3)**2.\nAnswer: -270*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/238847 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51194 + 51192. Suppose 3*g + 5 = 56. Which is the smallest value? (a) g (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 112*h + 2. Let k(o) = -2*o**2 + 112*o + 3. What is -3*b(x) + 2*k(x)?\nAnswer: -x**2 - 112*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40617970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 15 = -3*a. Solve 0*z = -3*s + 4*z - a, 0 = 3*s - 5*z + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/693 + 256\/231. Calculate the common denominator of -31\/102 and v.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 4*p**7\/21 + 2*p**6\/3 + 4*p**5\/5 + p**4\/3 + 63*p - 83. Let x(r) be the first derivative of g(r). Solve x(c) = 0 for c.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 19732*n**2 - 2*n - 19732.\nAnswer: 2*(n - 1)*(n + 1)*(n + 9866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -134499 divided by -24\nAnswer: 44833\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + t + t - 2*t in the form y + g*t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 + 2*c - 1. Let m be q(1). Suppose 3*t = 4*t - 13. Solve m*x + 0*i = -4*i + t, -2*x - 5*i + 12 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4080712*z**3 + 35554*z + 25 wrt z.\nAnswer: 24484272*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19486935?\nAnswer: 3, 5, 13, 33311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.716 to one dp.\nAnswer: -24.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 3*t**4 + 2*t**4 + (-t**3 + t**3 + t**3)*(-t + 3*t - t) - 51*t**4 + 57*t**4 + 254*t**4 - 4*t**4 + 0*t**4 + 3*t**4.\nAnswer: 261*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (45\/6)\/5*-2. Let f = b + 4. Let g = 10 - f. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.41 - 1.41. Which is smaller: -48 or d?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*m - 2)*(3*m - 4*m + 2*m)*(-5*m + 3 + 0 + 2*m).\nAnswer: 6*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 197, 142, 57, -52, -179, -318?\n\"Answer: d**3 - 21*d**2 + d + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 2*q**2 - 4*q**2)*(1 - 3 + 0) + q**2 + 2 - 2 + (q + 1 - 2 - 3*q)*(2 - 6*q - 2).\nAnswer: 17*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 5*n - 91, -14*o + 72 = -18*o + 4*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 7. Suppose 5*d - u + 56 = 0, -4*d - 44 = -3*u - 8. Let k be w(d). Let x = -22 - k. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/945 and 98\/2182815.\nAnswer: 15279705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Let j(k) = -k**2 - k + 5. Let s be j(y). Let q = s - -3. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/17 + 1720*m\/17 + 1722\/17 = 0. Calculate m.\nAnswer: -1, 861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/420 - 2*j**5\/21 - 52*j**4\/21 - 64*j**3\/3 - 2*j**2 - j - 11. Solve f(x) = 0.\nAnswer: -4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1422 + 1517. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 6\/41, 7?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.1 (c) -2.7 (d) 2\/755\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -5 (b) -6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 162, 1347, 4562, 10821, 21138, 36527?\n\"Answer: 169*a**3 + a**2 - a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 19*z = -4. Solve -h + 17 = 5*i + 2, 2*i + z = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.631 + -0.191. Let x = g - 4. What is x rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 18. Let n = -569073.00095 - -569129. Let u = n + w. What is u rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j - 13*j - 74 = 0. Solve 0 = d - 5*o + 19, d - 2*o + 18 = -j*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f = 3*i - 3, 2*i - 17 = 3*f. Let x = 8 - 2. Find the third derivative of -x*h + 6*h**5 + 7*h**2 + 6*h + i*h**2 wrt h.\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8454025?\nAnswer: 5, 338161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3383763 (base 11) in base 13?\nAnswer: -12c36ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - 0) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 3\/2 (c) -29 (d) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 9*m - 2. Let y be n(4). Suppose -y = 5*l + 2, 21 = -r - 5*l. Let v be 2 + r\/2*-4. Solve v*p - 2 = -4*t + 2, t + 8 = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1224642 - 615651. Suppose -3*y - u = -3*g, -8*y + 3*g = -9*y - 203009. What is y rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3686112.\nAnswer: 2, 3, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 40215 divided by -5\nAnswer: -8043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 51.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 104*c**2 + 2. Let o(z) = 45*z + 330. Let x(r) = r + 11. Let h(t) = -o(t) + 30*x(t). Determine h(j(k)).\nAnswer: -1560*k**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 35. Suppose -m + 5 = 3*z, 3*z + 1 + 24 = 5*m. Suppose 0*i = -4*t - i + 18, m*t + 5*i = 30. What is the remainder when g is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = -14. Suppose 3*j - 99 = -3*s, 3*s - 17 = -j + n. Suppose l - j = -l. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - y**2 - 4*y - 3. Let t(p) = -p - 5. Suppose 5*l - 3 = 6*l. Let g be t(l). What is a(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 26*b - 35. Give d(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.301 - -2.3. Let q = -0.401 - r. Round q to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/12377702 and 55\/14?\nAnswer: 86643914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 7\/6, 0.3, 3, 31, -4, -0.2413?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - w + 6. Let s(i) = i**2 - i + 2. Let h be s(-3). Suppose -2*g = 4 - h. Suppose -15 = -g*b + 5*j, -3*b = -2*j - 9 + 3. Determine t(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - -1301. List the prime factors of f.\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 17 = 1. Find the third derivative of -1789 + 9*u**q + 7*u**6 + 1789 wrt u.\nAnswer: 840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415305*k**3 + 415302*k**3 - 830600*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - i - 3. What is k(-6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 171, 1, -5, -859 in ascending order.\nAnswer: -859, -5, 1, 9, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*q - 407*q + 17565 = 0. Suppose -83*l - q = -88*l. What are the prime factors of l?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {m: 6, r: 4, q: 1, y: 4, e: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 0*h**3 + 2 - 3*h**3 - 17*h + 19*h + h**2. What is c(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 1:28 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -161, -518, -1123, -1988, -3125, -4546, -6263, -8288?\n\"Answer: -2*q**3 - 112*q**2 - 7*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + 6 - 4 - (0 + 89 - 5).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2645*s**3 + s**2 - 18704*s?\nAnswer: 15870*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4 - (-28)\/7*(-4620)\/(-1232).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80342540.\nAnswer: 2, 5, 37, 108571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 645, 642, 641, 642, 645?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ba6a (base 13) in base 3?\nAnswer: -2202202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*(6\/(-3))\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8954869 and 1309.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -38. Let l = 11.1 - h. Which is the nearest to -0.1? (a) l (b) -2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-1) + (1 - 1). Let w(o) = -o + 4. Let l be w(q). Let u(g) = g**3 - 10*g**2 - 13*g + 29. Let i be u(11). Is l != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39707641.\nAnswer: 29, 1369229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2675*w**3 + w + 8. Let a be b(6). Suppose 1 + 8 = 3*c. Suppose c*g = 322186 + a. What is g rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1488)\/(-1178))\/(4\/(-38)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1209633*-1\nAnswer: -1209633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22179307 to the nearest integer?\nAnswer: 4709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaui when four letters picked without replacement from cieueecaeaauee.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 395 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -34. Let m = w - 15.9. Let o = 0.8 + m. What is the closest to 1\/3 in 0.1, -1\/2, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 20*n - 81. Let x be a(4). Which is greater: 23 or x?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6445 or 6489?\nAnswer: 6445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -52, 0.2 in decreasing order.\nAnswer: 0.2, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*t - 2964 = 1862 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a + 12 = 32*a. Is ((-206)\/a)\/(2 + (-6)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.4 - -11. Let t = 6 - i. Let l = 1298\/9 + -144. Which is the nearest to -2? (a) l (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 3*r - 5. Let c = 7 + -12. Let v(h) = -h - 3. Let i be v(-6). Sort c, i, r.\nAnswer: c, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14706259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 1:38 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let u be (m + 9\/(-6))*10. Let d = u - 1. Solve -5*p + 4*y + 40 = 0, 0*p - 5*y = -d*p + 41 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23220421 (base 5) to base 12.\nAnswer: -a1b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-243))\/(6\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = q, -3*k + q + 2*q + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -91.3.\nAnswer: -92.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 60*r - 15. Let u(o) = -5 - 12*o + 0 + 8. Let y(m) = 2*i(m) + 11*u(m). Is y(-3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Suppose -2*m + 5 = o. Differentiate 2*c + 2*c**2 - m*c - 1 wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 85*p**3 - 1. Let m be y(-1). Let j = m - -121. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ba8 (base 14) to base 12\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -4, 0, 104, -9 in ascending order.\nAnswer: -9, -4, -3\/5, 0, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-12) - (-4)\/3. What is the second derivative of r - y*r - 3*r**4 + 2*r**5 + 3*r**4 wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1425.2373 months to centuries.\nAnswer: 1.18769775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = -12*m - 27. Suppose -5*k = 2*b - 23 - 9, -2*b + 2*k + m = 0. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:57 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 + 174*d**4 - 2*d**3 - 3959*d**2 - 3*d - 2.\nAnswer: 60*d**2 + 4176*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -2\/169, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + 7*d - 5*d)*(0 + 2 - d + 3*d) to the form y + t*d + l*d**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 3*k - 9, 3*k + 6904*j = 6908*j + 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**4 + 14272*y**3 + 312532*y**2 + 1716264*y = 0 for y.\nAnswer: -3546, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2441, 4923, 7405?\n\"Answer: 2482*u - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f - 6. Let w(t) = 4*t - 5. Let u(b) = 3*k(b) - 2*w(b). What is u(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69220, 69267, 69314, 69361, 69408, 69455?\n\"Answer: 47*w + 69173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23558\/3 - -2143070\/273. Let c = 30\/13 + y. Sort 3, 1\/5, c in decreasing order.\nAnswer: 3, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*l = -448*l + 30 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**5\/20 - q**4\/3 - 2*q**3\/3 - 5*q**2\/2 + 1233*q. What is x(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (952 - 962) + (-12 - (-1 + 2))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.2 - 23. What is the third smallest value in -0.3, u, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2. Suppose 0*x = 4*x. Suppose 2*l - 1 - 3 = x. Let z(m) = -7*m**l + 2*m**2 - m + m. What is z(r(w))?\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (29 + -17)) + (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 389 - 340 = 3*k, 0 = 2*d - 5*k - 25. Which is smaller: d or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.449519 kilograms?\nAnswer: 8449519000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88845 (base 11) to base 5.\nAnswer: 13110133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - 2*y**2 + y + 1. Let s be f(4). Is -218 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99)*2*4 - sqrt(99)) + (sqrt(99) - 6*2*sqrt(99)))\/(-4*1*sqrt(576) - (3*sqrt(576)*2 - sqrt(576))).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 163\/3 in 0.06, 0.4, -0.076?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.8 (c) -0.3 (d) -2 (e) -1539\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125647 is divided by 1513.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1298 - -1068.2. Let w = -15.8 - v. Let d = 214.0000885 - w. What is d rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.76781 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 831*l**3 + 6*l**2 - 6*l + 4. Let b(h) = 2494*h**3 + 16*h**2 - 16*h + 11. Calculate -3*b(p) + 8*o(p).\nAnswer: -834*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 2\/13, -0.01, -18, 1\/5, 0.24605?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**2 + 56*x + 5. Let o(z) = 7*z**2 - 37*z - 3. Give 5*g(n) + 8*o(n).\nAnswer: n**2 - 16*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + y + 158 = 0, 73*z - 4*y = 72*z + 86. Calculate the greatest common factor of z and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2786 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 591 (base 10) to base 2\nAnswer: 1001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*f - 4564 = 9444 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 557868*p - 2 + 0 - 443*p**2 - 557866*p + (-2*p + 3*p - 2*p)*(6 - 6 - p).\nAnswer: -442*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -142*s + 34. Let r(x) = -47*x - 2. What is 2*r(a) - y(a)?\nAnswer: 48*a - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 8.3?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttititt.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(1\/(-1)*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -29. Suppose -k = 4*k - g. Suppose -8 - k = -2*v. Calculate the remainder when 22 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*o + s + 1 = -0*o, s - 11 = 10*o + 2*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, -7048, 2, -22, 1 in increasing order.\nAnswer: -7048, -22, -4, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 364\/(-3822)*(-14)\/(-20) - 166\/(-1590)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2235 + 125*m + 77*m - 81*m.\nAnswer: 121*m - 2235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n + 17. What is f(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 75456.\nAnswer: 75456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -285979448*o**2 + 369468180?\nAnswer: -571958896*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 6*l = -10*l - 112 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q = 77*q - 126 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4869 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341547 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**5\/20 - s**4\/12 - s**3\/6 + 2*s. What is the remainder when v(-4) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -46. Which is smaller: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -3 + 1 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 404 + 104. What is the remainder when f is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.1933l to millilitres.\nAnswer: 490193.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**9\/1512 + d**8\/280 + d**7\/210 + 4*d**3\/3 - 7*d**2. Let r(b) be the first derivative of t(b). Factor r(l).\nAnswer: 2*l**3*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88080 = -3812*o + 876*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4\/3 + 10*y**3\/3 - 7*y**2\/3 - 64*y\/3 + 20 = 0?\nAnswer: -10, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + -2*51\/8. Which is the nearest to 7\/12? (a) g (b) 1\/3 (c) 4\/3 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52641829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 508.6158 nanoseconds?\nAnswer: 0.0000005086158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43335508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9642573876 - 0.\nAnswer: 9642573876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3*6\/(-9))\/((-16)\/(-88)). Let p be 4*(-5 - (c + 5)). Suppose -p*b = 4*l - 6*l - 84, 0 = 5*b + 3*l - 127. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f + 11. Calculate l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -b59ce (base 16) to base 8\nAnswer: -2654716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155 + -156. Put 1, m, -15 in decreasing order.\nAnswer: 1, m, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 4*w**2 - 3*w**2)*(11*w + 342 - 342) + (14*w**3 + 18*w**3 - 35*w**3)*(2 - 1 + 0).\nAnswer: 8*w**3 - 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 355, 1174, 2767, 5392?\nAnswer: 9307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 498 + -271. Suppose 599 = m - y. Suppose -p + m = p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 592 = 2*b - 200, -3*m = 4*b - 294. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 5:14 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-36)\/(-48)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**2\/5 - 5208*q\/5 - 2503296\/5 = 0?\nAnswer: -1968, -636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 - 35\/(-15). Let y be (4 - 4)\/(t + -2). Let s(g) = -8*g - 7 + 6 + y. Give s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 4\/7, -120?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 3110*i - 3110*i. Let o(n) = 46*n. Calculate p(o(c)).\nAnswer: -2116*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5013 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: Let p(v) = v**3 - 5*v**2 - 3*v - 9. Let s be p(5). Let t = 25 + s. Let r be ((-30)\/9)\/(t\/(-15)). What is the highest common divisor of r and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/43)\/(o\/(o**(3\/2)*o*o))*(o\/o**(-10))**(13\/2) assuming o is positive.\nAnswer: o**(3180\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91 - -46) + -3 - -13.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58\/387? (a) -0.3 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 29*v**2 - 22*v**2 + 5*v + 2 wrt v.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**6 - 130*h**5 + 39*h**2.\nAnswer: 120*h**3 - 7800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -6768638, 4 in descending order.\nAnswer: 8, 4, -6768638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -11f64?\nAnswer: 11f65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, l: 11}. Give prob of sequence pl.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-181 + 490 - 308 + 3485*h)*(5 - 1 - 5).\nAnswer: -3485*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 3*v + 4*v**3 - 2*v)*(-202 + 201 + 9*v + 5*v).\nAnswer: 42*v**4 - 3*v**3 + 14*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let j(b) = -8207 + b + 8207. Let f(a) be the second derivative of 3*a**3\/2 + 4*a. Give v*f(p) - 6*j(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8337 divided by -27\nAnswer: 2779\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 7*f + 2. Calculate o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-4 - -7) + -19 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-27)\/6)\/(-9)*4. Let b = 15665 + -188089\/12. What is the common denominator of b and (q\/2)\/2*(1 - -48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5640?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77936.19681 - -78283.56. Let v = t - 320.3646. Let h = 27 - v. What is h rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404108 is divided by 322?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 122*j**2 + 83*j - 5. Let c(b) = 62*b**2 + 37*b - 3. Let l(w) = -7*c(w) + 4*o(w). What is the second derivative of l(y) wrt y?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5096133 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, g: 2}. Give prob of picking 3 n.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71421306 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1642*i = 744*i + 706*i - 7872 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23593892 a multiple of 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (131 - 123)*11\/(-44)*(-3)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42 + 1 + (-13 - 2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 0*f**2 + 0*f + 0*f**4 + 11\/7*f**7 + 1 + 0*f**5 - 2*f**3 + 0*f**6. Find the third derivative of n(a) wrt a.\nAnswer: 1320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, h: 2, d: 1}. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2 = 5*r + 2*q, -14 = 2*r - 5*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + (7 - 5) + -6)\/1. Let x = -8 + 9. Sort x, m, 5, 2 in descending order.\nAnswer: 5, 2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**2 - 2*g + 1. Let q be m(1). Let i be 3\/2*20\/q. Let n be 18\/30*(1 - -14). Solve -n - 11 = -i*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 221*a + 107. What is z(-1)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 79 - 12)*(-4*d + 2 - 2 + (5 + 1 - 4)*(-2*d + 2*d - 2*d) + 3 - 2*d - 3).\nAnswer: -730*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - -2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/11)*u*u**16)\/(u**(-4)\/(u\/((u\/(u**5*u))\/u))) assuming u is positive.\nAnswer: u**(314\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/9 + 253*v**3\/3 + 3364*v**2\/9 - 1385*v\/3 - 1250 = 0?\nAnswer: -375, -5, -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + (-4 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 12:29 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85108572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -9 - -11 - -24?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -140554.34 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 125. Let a(l) = -l + 25. Let j(v) = 11*a(v) - 2*w(v). Is 23 a factor of j(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 2, w: 3, b: 8, x: 2}. What is prob of picking 2 m and 1 l?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 2*x + 30. Let v be (-135)\/(-4) - ((-50)\/8 - x). Calculate the greatest common divisor of 238 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136245158 and 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*m*o**3 + 299*m*o - 3*o**4 + o**2 wrt o?\nAnswer: 72*m*o - 36*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*s**3 + 3*s + 45*s**3 - 3*s + 23*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5 - 166*c**4 + 4214*c**3 - 31266*c**2 + 50544*c - 23328 = 0. What is c?\nAnswer: 1, 9, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 1810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -228?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6934279?\nAnswer: 11, 443, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 316083149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {q: 1, t: 1, k: 7, f: 3, a: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*x, -4*g + 1 + 5 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -665, 10 in increasing order.\nAnswer: -665, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12830*s**3 - 17 + 38486*s**3 - 12829*s**3 - 12828*s**3 - 9.\nAnswer: -s**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 + 0.5. Let u = s + -4.75. Let l = 0.8 + u. What is the nearest to 1 in -3, l, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**5 + 3*q**4 + 23601*q**3 - 189793*q**2 + 2*q - 1 wrt q.\nAnswer: 60*q**2 + 72*q + 141606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-1*-2 - (0 + -2*sqrt(162))) + ((sqrt(162) + -1*(sqrt(162) + 0))*-4)**2 + 0.\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s + 4*s + 2*s - 6*s + 5. Let l(i) = -i - 1. Calculate 6*l(p) + t(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000661 to seven dps.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 6 = -48. Calculate the lowest common multiple of 3 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 89*r - 4. Let f = -11 + 14. Is v(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403147781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/3072080 and -73\/160.\nAnswer: 6144160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 1.13, 3?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-11\/5))\/(a*a*(a\/((a\/((a*a*a\/(a*(((((a\/a**(-5)*a)\/a)\/a)\/a)\/a)\/a)*a)\/a))\/a))\/a))\/(a**(2\/7)*a*a**14*a))**43 assuming a is positive.\nAnswer: a**(-29326\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = q + 1, -2*q + 10 = 3*q - 5*v. Let s be 2\/10 - q\/(-10). Which is smaller: s or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(35)\/(sqrt(15)\/sqrt(3)*-1))*-1*1)**2 + 5.\nAnswer: -2*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Suppose h*p = -5 + 1. Let m = p + 8. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5, 5*q + 3*t - 444 = 2*q. Suppose 12*x - q = -35. Calculate the least common multiple of x and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/11856 and -56\/21375.\nAnswer: 4446000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y - 3*y + y + 2*y to j + n*y and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/5 - 156441*r - 782208\/5 = 0. What is r?\nAnswer: -1, 260736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218124, -435943, -653762?\nAnswer: -871581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 297858890 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**6)\/z)\/(z*z**(-7))*(z*z*z*z*z\/z**0)**(14\/15) assuming z is positive.\nAnswer: z**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 8:54 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7317748273395.74999935 + -7317748443849. Let o = 170447.25 + l. Let p = 6 + o. Round p to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4521*l**2 + 2. Let d(q) = 74*q - 179*q + 104*q. Determine d(h(s)).\nAnswer: 4521*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -3777706?\nAnswer: 3777706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6093272 and 4472.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 + 61*x - 26. Let o be z(-14). Which is bigger: o or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/9*(-3)\/1. Suppose -d*m = -157 - 646. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 3 + 354\/3. Suppose 4*d + n = 4*c, -c + 22 = -2*d + 3*d. Calculate the remainder when 76 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 815 or 165897?\nAnswer: 815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 20 - 0. Suppose -7 = -5*g + 3. Suppose 2*r - 12 = -p*j, -8 + g = r - 4*j. Solve 4 = -0*n + r*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*y + 33, 2*y - c + 4*c - 27 = 0. Let f(s) = s. Determine f(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = d - 0*d, 68 = 5*j + d. Suppose 10*o - j*o + 48 = 0. What is the remainder when 93 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w + 1. Suppose -w*b + 2*q - 5 = 13, 0 = 5*b + 3*q - 2. List the prime factors of b\/(-9) - 43\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 23. Let i be (-902)\/(-33)*((-5)\/(-2) + -1). Let j = i - 20. Calculate the remainder when v(-16) is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3986 + 3988 - 575*p**2 + 3980 - 11955 - 77*p**2.\nAnswer: -652*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39767 not equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amaa when four letters picked without replacement from hahppppppaphhmqa?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c + 323469 - 322842 = 0 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 8*k**2 - k - 79. Determine d(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -31. Let i = b + 13. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 2, -12, -17 in descending order.\nAnswer: 2, -12, -17, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 6 + 9 + 3*k**4 + 0*k**4 - 2 to y*k**4 + s*k + p*k**2 + h + o*k**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(5) + (sqrt(5) - sqrt(125)*-3)) + sqrt(84)\/(sqrt(2352)\/sqrt(4)))**2.\nAnswer: 576\/2023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t - 5*t - 9*t)*(-2*t - 1 + 1) + 0 + t**2 + 0 - 5 - 9*t**2 + 5 - 12*t**2 + 4*t**2 - 5*t**2 to the form g*t + a + o*t**2 and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 3*u**4 + 0*u**4 + (22*u - 3*u - 79*u)*(-8*u**3 + 2*u**3 + 0*u**3).\nAnswer: 358*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22504 - -2540?\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and 37.093222667409?\nAnswer: 30.093222667409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + n - 4*n + (n - 3*n - 4*n)*(1 - 1 - 4) to y + b*n and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 + 2*z**3 - 3*z - 4*z**3 + 4*z**3 - 1. Let b be p(-3). Let c = b + 13. Sort -5, 5, c.\nAnswer: c, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**2 - 27795*d + 27790 = 0?\nAnswer: 1, 5558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034194405976 take away -382?\nAnswer: -1034194405594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Suppose 4*a - 42 = 2*f, i*a + 3*f - 7 = -2*f. Suppose 3*l + a = 44. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 225a48a?\nAnswer: -225a485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75\/6*-48*(-8)\/(-80). Let n(c) = -4*c + 1. Let i be n(1). Let a be (8\/f)\/1*i. Sort a, -3\/5, -5\/3.\nAnswer: -5\/3, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 35*k + 14 = 0. Suppose -5*n + 346 = -k*v, n - 4*v - 31 - 31 = 0. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x + 102*x + 1 + 59*x.\nAnswer: 198*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 - -193. Let w = 47 - n. Let u = w - -183. List the prime factors of u.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsxj when four letters picked without replacement from jxsssjsjjxxjxj?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 6*w**2 - 8*w + 5. Let y be x(6). Let n = -23 - y. Suppose 0 = 2*v - 2*r + 6, -3*v - 5*r + n = -11. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/5*60\/24 + 8294. Suppose -22*r + 20610 + b = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*i**5 - 34795745*i**4 - 101488160*i**3 + 34795775*i**2 + 84090110*i + 17397960 = 0. What is i?\nAnswer: -3, -2\/3, -1\/4, 1, 579932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 15*b - 19*b + 173, -k = 5*b - 65. What is the greatest common factor of k and 396?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 709*x + 2801 + 308*x - 1399 - 1398 + 1297*x in the form w + j*x and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/60 - 11*k**4\/24 - 25*k**3\/6 + 37*k**2. Let t be q(-8). Put t, 3, -20 in decreasing order.\nAnswer: 3, t, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrrhhhh. Give prob of sequence hh.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -49*l - 675. Let p be a(-14). Solve -2*t + 4 = 7*h - p*h, -h = -t - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -27, -51, -83, -123, -171, -227?\n\"Answer: -4*g**2 - 4*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1964 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/20*345\/69*224\/24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + 11*f**2 - 7*f**2 - 3*f + 3*f + 2*f**2 + 3*f**2 - f**2 - 3*f**2 + (3*f + 0*f - 2*f)*(f + 0*f - 3*f) + 5*f**2 + 2*f**2 - 4*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21958607 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14658 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 276840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + k + 0*k)*(3*k + 0*k - k) - 6*k + 3*k - 1849*k**2 - 11*k + 14*k to m*k + f + h*k**2 and give h.\nAnswer: -1851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38504446 or -38504443?\nAnswer: -38504443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + (-6 + 11 - (-94)\/12))*-66.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-6)*t**(3\/5))\/(t**(3\/2)*t**(-1\/7)))**(-1\/10) assuming t is positive.\nAnswer: t**(403\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*u + 1948 = -564*u - 1192 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5.7 times 0.4\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 16 - 9 + 493*b)*(-2*b**3 + b**2 - b**2)*(5 - 6 - 1) to the form v*b + d*b**4 + j*b**3 + o + s*b**2 and give d.\nAnswer: 1972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y + 83*y - 28*y)*((0 + 0 + 2)*(-5 + 5 + 2) + 2 - 4 + 0)*(5 + 1 - 3).\nAnswer: 396*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -22. Let k(z) = z - 26. Let s(q) = 2*q - 52. Let r(o) = 5*k(o) - 3*s(o). Is r(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5, -2\/13, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 6*m = l - 60, -5*m + 80 = l. Suppose -279*z = -281*z + l. Solve -6*k + 5 = z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724619.3 centuries in decades?\nAnswer: 7246193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 6. Let j be l(-7). Let i be (16\/j)\/((-6)\/15). What is the smallest value in i, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -5, -12, -19, -26?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 22 = -w + 4*b, 0 = 5*w + 2*b - 110. Suppose -2 = -w*q + 21*q. Solve q*o + 2 = -y - o, -6 = -y + 5*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times 41?\nAnswer: 114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 41068322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7912729?\nAnswer: 11, 431, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiq when three letters picked without replacement from {x: 2, q: 2, i: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*h - 442*h + 219*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -125 + -2739?\nAnswer: -2861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 - -200. What is the third derivative of k*f**4 + 21*f**2 - 379*f + 379*f wrt f?\nAnswer: 1344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46958, 187844, 422654, 751388, 1174046, 1690628?\n\"Answer: 46962*f**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = h + 5*y - 5, -5*h + 10 = -4*y. Suppose 2*l + h = 5*l. Let i be (2 - 0 - l)*-1. Solve -5*w = -1 + 6, i = 2*a - 3*w - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 6*o - 3. Let f be y(-5). Suppose 5*w = -i - 10, -f*i + 4*i + w = 7. Solve 25 = -5*r - i*j - 0*j, 0 = -r + 5*j + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 77, 191, 351, 557, 809?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.4, 595.3 in ascending order.\nAnswer: 0.4, 3\/2, 595.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 greater than -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006081 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17085 divided by 5?\nAnswer: -3417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.9536819 rounded to 0 decimal places?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnvnnnnnnnnnnnn. Give prob of sequence nnnv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -d7d3?\nAnswer: -d7d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.35 + -0.05. Let i = 4.6 - 4. Let o = i - -3.4. Sort o, 1\/2, w in descending order.\nAnswer: o, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15716651448*k + k**2 - 15716651448*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = -3*i. Let m(a) = a**3 - 6*a**2 + 2. What is the smallest common multiple of m(6) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222 (base 3) in base 16?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -65*y + 895. Solve -4*n = 3*f - 198 + 197, 0 = 3*f - 3*n - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 93441845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*z + 8*z - 119*z + 15*z - 1836 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 13. Let g be d(-7). Suppose 4 = -4*j - 0*j. Let n be ((-5)\/15)\/(j\/g). Calculate the greatest common divisor of 4 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49990 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 8) to base 12.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12670896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 169, 663, 1691, 3451, 6141, 9959, 15103?\n\"Answer: 33*m**3 - 30*m**2 + 17*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: -2211 (base 5) to base 9\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + -2 + sqrt(833).\nAnswer: -4 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6\/5)\/((g**(-2\/17)*g)\/g))\/((g**(-1\/7)\/g)\/(g*g*g**5*g)))\/(g**(12\/7)*g**(2\/7)) assuming g is positive.\nAnswer: g**(3606\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 82. Suppose z*p - 215 = -p. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/7 + 1286*w**3\/7 - 29440*w**2 - 29624*w.\nAnswer: -2*w*(w - 322)**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8308.399 weeks to milliseconds.\nAnswer: 5024919715200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378389.\nAnswer: 3, 459463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 726302500*l**3 - 403098103100*l**2 + 119658016*l - 8880.\nAnswer: 4*(l - 555)*(13475*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(3 - 2 - 5)*(6 - 6 - 1)*(m**4 - 3*m**4 + 0*m**4).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208 + 483. Suppose -f = -4*z + 253. Suppose -9*u = -6*u - z. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(-1)*4*67*(-102)\/(-52394)\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 0\/(3 + -2). Let c = 5 - 6. Let n(x) = -1. Let u(v) = v + 1. Let w(l) = 6*l + 3. Let z(s) = -5*u(s) + w(s). Calculate c*z(j) + p*n(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**20)\/((n\/(n**0*n))\/n*n) assuming n is positive.\nAnswer: n**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaaaaaaadaaaaaaa?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b + -1365aa?\nAnswer: -13655d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 3839?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7 + 1. Suppose 4*m - 5*k - 22 = w*m, 4*m - 44 = 2*k. Solve -4*a = -i - 8, -5*a - m - 4 = 5*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (0 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, r: 2, t: 8}. What is prob of picking 2 d and 2 r?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*l = 4*l. Let h(g) = 7*g - 3*g + 7 + 7*g + l. List the prime factors of h(6).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*t + 2739*t + 238456 = -443*t for t.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 36 = 8*p. Suppose -p*z = -3*m - 7*z + 39, -12 = -3*z. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1831*v - 10976. Calculate f(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 43 + 11. What is the highest common factor of o and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - 4\/(-12)*0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221*x**2 + 221*x**2 - 6*x**3)*(-3*x + 3*x - 2*x) + 2*x - 2*x - x**4.\nAnswer: 11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-17 - -18))*(1 + 0). Solve -64*z + 67*z + 4*j - 9 = 0, q*z - 5*j - 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(4125\/300))\/((-4)\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3483.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 3:16 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*2)\/sqrt(12) + -1)**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1050 or -1079?\nAnswer: -1079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = 15. Suppose i + y = v*i + 45, 5*y - 27 = 2*i. Let b be 2\/(-4) - i\/26. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -185 (b) -0.11 (c) -253 (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h = 68*h - 25. Find the third derivative of 4*j + 57*j**5 - 274*j**2 - 4*j + 57*j**2 - 8*j**3 - 48*j**h wrt j.\nAnswer: 540*j**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*n**2 + (2*n + 3*n - 4*n)*(3*n - n - 3*n) + n - n - n**2 + (-2 - 2 + 2)*(4 - 4 + 3*n**2).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 254 - 260 = 0. Let t be 16\/12*(14 - d). Let g be (1 - 0) + 10*1. Solve -3*z + g = -k, 4*k - 7*z + 3*z = -t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234045311.\nAnswer: 234045311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 685117 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13363 (base 11) to base 9\nAnswer: 28134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Factor -3 + i - f*i**2 - 3 + 5 - 4*i - i**3.\nAnswer: -(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*-1.458\nAnswer: -14.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5))\/(2\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y**2 + 2*y**3 + 19*y**2 - 3347 + 3347.\nAnswer: 2*y**3 + 37*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3583 or 3587?\nAnswer: 3587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 868 a factor of 5302612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/11 + 62098*n**2 + 58322053414*n\/11 - 408287845406\/11.\nAnswer: 2*(n - 7)*(n + 170773)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z - 2. Let n(k) = 19 - 10 - 3 - 7. Determine -c(y) + 3*n(y).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1494 = 3*f, 0*b + 2*b - 3*f - 585 = 0. Suppose 78*q = 75*q + b. Let m be (-3)\/(-2) - q\/18. Sort 4, m, -14, 5.\nAnswer: -14, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from pzmzmmmrpmpzmmmmmp.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*9\/(-189)*1*-9*154\/132.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 69.08944 grams?\nAnswer: 69089440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/505 and (3*30\/225)\/(1616\/145).\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, d: 2, r: 1, e: 2, s: 1}. What is prob of picking 1 z and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (390\/1430 - (-138)\/(-22)) + 3*2. What is the nearest to r in 1, -2\/95, -0.3, -1\/2?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5953980, 5953963, 5953946, 5953929, 5953912?\nAnswer: 5953895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**2 + 74*h**4 - 75*h**4 - 3*h**2 + h - 1 in the form w*h + p + z*h**3 + j*h**2 + n*h**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/6 - 8\/12. Let p(m) = -m**3 - m**2 + m. Let z(v) = -5*v**3 - 10*v**2 - 2*v - 4. Let y(c) = 6*p(c) - z(c). Let b be y(i). Round b to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-7 - 5088\/(-726)). Let b = -336 - z. What is the remainder when 186 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Let j be (c + (-30)\/9)*-9. What is the smallest common multiple of 7 and (3 - 12\/j)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 23*t**4 - 151*t**3\/2 + 1814*t**2. Differentiate k(j) wrt j.\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**4\/24 - 2*i**3\/3 - 535*i**2. What is n(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714 divided by 126.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.723665 weeks in days?\nAnswer: 47.065655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 2. Let x be (-2)\/(-32) - (-663)\/272. Let n(q) be the second derivative of -2\/3*q**3 + 0 + x*q**2 + 2*q. Give -7*l(m) - 3*n(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*h**2 + 13*h**2 - 14*h**3)*((-4 + 6 - 3)*(1 - 3 + 3) + 0 - 4 + 2 + 108 + 12 + 31) as t*h**3 + k*h**2 + z*h + q and give t.\nAnswer: -2072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4980 at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504725?\nAnswer: 3, 5, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-1)*((-138)\/(-48))\/(-23)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 1. Let r(i) = 3*i. Let f(g) = 7*g. Let k(l) = 4*f(l) - 9*r(l). Suppose 0 = 3*c - 5 - 4. Suppose -s + c*s + 8 = 0. Determine s*k(z) + q(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + m + 3. Let h(n) = -3*n**2 + 3*n + 7. Let d(l) = 5*c(l) - 2*h(l). Suppose -z - 4*a - a = -11, -2*z + 4 = a. Suppose -u + z = -0. What is d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 335 + -334.659. What is s rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 682\/4 + (-10)\/((-200)\/(-30)). Let z = q - 173. Sort -1, 3, 0, z.\nAnswer: z, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226607 rounded to the nearest 1000?\nAnswer: 227000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2082 = -20*b + 18*b, 0 = -5*l - b + 2094. Does 38 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 13*p**2 + 106*p - 103. Give a(-17).\nAnswer: 4164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 0 + 0*n**3 + 2\/3*n**4 - 2\/3*n**2 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.80072 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 2 - 38. Solve -2 + n = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-7) - (1 - 2). Let p be 34\/153 - (-184)\/(-18). Let k be p*(3 - 10\/4). Put k, 3, d in decreasing order.\nAnswer: 3, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + r = -9, -r + 3 = 5*x - 12. Suppose -3*z - 2*z + o + 28 = 0, -4*o - 27 = -x*z. Find the second derivative of 23 - 23 - 6*s**2 - z*s wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82043*c**3*q**4 + 15*c**3*q**2 - 4826349*c**3 wrt q.\nAnswer: 328172*c**3*q**3 + 30*c**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16599540?\nAnswer: 2, 3, 5, 19, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 2405145.07?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346296471?\nAnswer: 3, 115432157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 154*z - 2003. Let m be y(13). Let d be (-60)\/(-9) - (-2)\/6. Which is the closest to m? (a) d (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*k + 41*k + 62*k.\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + j = -1, -5 + 0 = 5*t + 2*j. What is the first derivative of 16 + 8 + t - x - 17*x wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m - 4. Let l = -20 + 40. Calculate the lowest common multiple of l and b(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*h**3 + 124 + 270*h**3 + 72 - 182 - 18*h**3.\nAnswer: 550*h**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2061450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(27) - (sqrt(48) + 5 + sqrt(3)).\nAnswer: -8*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -305 - -279.6. Let c = -20 - a. What is c rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1872)*5 + -4 + (1*sqrt(1872) - sqrt(1872)) + 1 - -5*(sqrt(1872) + -5*(-3*sqrt(1872) - sqrt(1872)))*5)**2.\nAnswer: -38160*sqrt(13) + 525844809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -9.2 (b) 1 (c) -1 (d) 2\/3 (e) -374\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34c75 - -2?\nAnswer: 34c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4978 divided by -51\nAnswer: -4978\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.041 - -1.339. Let n = -1.08 + x. What is the nearest to -2\/5 in n, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6265174 is divided by 281.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2350, -4668, -6974, -9268, -11550, -13820, -16078?\n\"Answer: 6*f**2 - 2336*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.858 to 1 dp.\nAnswer: 17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 1115, 3786, 8985, 17552, 30327?\nAnswer: 48150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -58.41 and -3.\nAnswer: -61.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.186876 rounded to 2 decimal places?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*k + 3908 = -2859 - 9504 - 7654 for k.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 100, 293, 646, 1177, 1904, 2845?\n\"Answer: 3*z**3 + 62*z**2 - 14*z + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -48, 19*y = 5*x + 18*y - 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-6)*32\/28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 3*l**3 + 0*l**3)*(2*l**2 + 3*l**2 - 4*l**2) + 3*l - l - l**5 + 2*l**5.\nAnswer: 3*l**5 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5986276, 11972552, 17958828?\n\"Answer: 5986276*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k = 27*k + 76. Let v(s) = -2*s**2 + 35*s + 27. Let y be v(k). Let q = 17 - 46. Which is smaller: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.5*-0.088\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9362470 and 485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/25245 and 131\/16524.\nAnswer: 908820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -54*q**2 - 4*q. Let n(c) be the first derivative of -2*c**3 - 1745. Give d(n(t)).\nAnswer: -1944*t**4 + 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 110\/(15 - 1270\/85). Sort 4, b, -2 in ascending order.\nAnswer: -2, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18330375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117471428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 51, 111, 207, 345, 531, 771, 1071?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jakg when four letters picked without replacement from zagkjzf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2054 = -4*p - 2038, 0 = 4*p - 9*p - j + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 + -5 - (-3 + 2) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 134?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1351\/(-42) + 2\/((-24)\/92) + 2\/(-12).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 21\/(-9))\/((-19)\/(-190))*2850\/760\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljclllclmrijljcrljc. Give prob of picking 1 r, 1 c, and 1 m.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*u = 58*u + 63*u - 151450. What is u rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413151 a multiple of 950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 59. Let d be 0 - (2 + (b\/(-2) - -2)). Put 5, d, 19 in increasing order.\nAnswer: d, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/2596167 and 19\/343?\nAnswer: 2596167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49799*f**3 + 13*f**2 + 0*f**2 - 49801*f**3 - 7*f**2 - 6*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -13, 27?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 + 4*r**2 + 2*r - 30. Let q(m) = m**3 + m**2 - m - 1. Let x(s) = 10*q(s) + 5*t(s). Factor x(z).\nAnswer: -5*(z - 4)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (595*c + 520*c - 305*c)*(-3 + 2 - 1)*(-9 + 2 + 19) to t*c + n and give t.\nAnswer: -19440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - 0.3. Let l = -110 - -215\/2. Let v = 22.9 - 23.3. Which is the closest to n? (a) v (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522923 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.25 - -11.25. Let a = i - 11. Let y = -8 + 6. What is the closest to 0 in -3, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64940.1 decades to millennia.\nAnswer: 649.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 1\/2, 1, 1.3 in increasing order.\nAnswer: -6\/13, 1\/2, 1, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11730190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 15 = u + 2*z, -3 = 4*u - 5*z. Suppose 1 - 392 = -2*l - 3*t, u*l = -5*t + 588. Suppose 0 = 3*r - 190 - l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*m - 36*m + 152. Suppose -m*g - 199 = -66. Suppose 0*u = -2*u - z - 10, 4*z = 2*u + 10. Put 0, -2, g, u in decreasing order.\nAnswer: 0, -2, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*h + 49, -11310*h = -11307*h + i - 43 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 9*b. Let k be f(-6). Suppose 0 = -c + 12 + k. Calculate the highest common divisor of c and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003492 to five dps.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -38 * 5684914\nAnswer: -216026732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 9) to base 13\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 7 = l, 5*l = 2*a + 13. Find the common denominator of 55\/28 and 380\/(-48) + a\/(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 9. Let m(d) = -3*d + 4. Calculate -9*m(x) + 4*t(x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 49. Let q be 694\/i - (-20)\/(-40). Let x = q - 101. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((-110)\/165)\/(2 - (-272)\/(-132))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10445 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3991 is divided by 425.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 7*f)*(5 + 6*f - 5)*(-1 + 3 + 3).\nAnswer: 210*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 130?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -103*o**2 - 110*o**2 - 2*o + 228*o**2 + 3. Let z(f) = -46*f**2 + 7*f - 10. Calculate -7*y(j) - 2*z(j).\nAnswer: -13*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.240613 rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 4 = 4*n + 5*w, 4*n - 2*w = 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1542 (base 7) to base 9\nAnswer: -756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147516 and 2356?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 - 221525.\nAnswer: -221522.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*d**3*n*v - 13*d**3*n + d**3*v**3 + 3*d**2*n*v**2 + 310*n*v**2 + 6*v**3 wrt d.\nAnswer: -144*n*v - 78*n + 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30553 + 1?\nAnswer: -30552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/10 + (0 - -406). Let o be k\/45 - 10\/75. Is (o\/(-3))\/((-2)\/20) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 117 - 4a?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 14 + 14. List the prime factors of p\/10 + 926\/10.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -21*r + 1\/8*r**4 + r**3 + 0 - 15\/4*r**2. Factor a(t).\nAnswer: 3*(t - 1)*(t + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + d**2 - 2*d**2 + (-1 + 4 - 2)*(132*d**2 + 99*d**2 + 67*d**2).\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 7*c**2 - 9*c - 14. Suppose 232*o = -154*o - 45*o - 3448. Calculate r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/5 (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 16 = -4*z. Solve z = 2*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.986. What is i rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {h: 1, y: 2, p: 5, z: 6, w: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004494945 to 7 decimal places.\nAnswer: 0.0000449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38409, -38417, -38429, -38445, -38465, -38489?\n\"Answer: -2*h**2 - 2*h - 38405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126.8 - 126. Let g = -32 + 31.21. Let r = g + b. Round r to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*g + 399*g + 385*g + 20 = -4*m, -2*g + 20 = -4*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 9. Suppose -7*j = -s*j - 20. What is the lowest common multiple of 1 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2046600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -107*m**3 + 3*m + 2. Is 21 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384, -512, -850, -1506, -2588, -4204?\nAnswer: -6462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 373097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -1124?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -702 - -702.0362. Let h = m - 0.0362. Which is the biggest value? (a) h (b) -13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krrc when four letters picked without replacement from {c: 10, r: 4, i: 2, k: 2, e: 1}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.919 + -0.009. Let x = 1 - i. Let u = 0.77 + x. Round u to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 3, y: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -52.50905913?\nAnswer: 52.60905913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 835644021 to the nearest ten thousand.\nAnswer: 835640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**2 - 1. Suppose -5*y + 10 + 5 = 0. Determine q(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27220 and 15?\nAnswer: 81660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from wvzwwzzzzw?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -6, -16, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/170*2\/4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128115680 to the nearest integer?\nAnswer: 11319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ava when three letters picked without replacement from {v: 4, u: 6, e: 1, f: 1, a: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 15830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 271 - 271. Sort l, -3\/5, 2, 7 in descending order.\nAnswer: 7, 2, l, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7093406 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1365)\/49)\/13*2\/(-10)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-3 + 1 - 1)*(-l**2 + 3*l**2 + 6*l**2).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*t - 342, t - 684 = -3*t + 5*f. Let b = t + -169. Solve c - b*l + 4 = 2*l, 5*c - l = -20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/4 + s**3\/3 - s**2\/2 - 36*s. Give z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(150)*1 - sqrt(150) - sqrt(150) - sqrt(150))\/sqrt(3))\/(-1*sqrt(30)\/sqrt(3))*-5 + 4.\nAnswer: -10*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 3}. What is prob of picking 2 a and 1 d?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/16 + (-30)\/(-8). Let k(z) be the first derivative of -2*z**3\/3 + 7*z**2\/2 - 6*z + 4390. What is k(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3214a05 (base 11) in base 8?\nAnswer: -25452555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*u**3 + 42096*u**2 - 8268*u - 49 wrt u?\nAnswer: 42*u + 84192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 394437240 + 2*i**2 - i**2 + 394437240.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 86*t**2 - t - 10. Let v be r(-3). Is v\/1 + -1 + (2 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569473 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 4 + 15*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2*35*-2. Let m be ((-4)\/30)\/(t\/(-10)). Let s = m + -19\/35. Are s and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 11. Solve -p*n + 6 = -14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 31*c - 233. What is t(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-8) + (-3)\/12. Let v be 38\/171 - 4\/18. Let z be v - (3 + -3 - -1)*-1. Solve -5*a + z = -g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**5 - 22*y**4 + 9924*y**3 - 351234613*y**2 wrt y.\nAnswer: 180*y**2 - 528*y + 59544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -55, 3\/4, 1, 2\/13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9265.84777 to the nearest 10.\nAnswer: -9270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*i + 4*l - 8, -4*i - 25 = 5*l. Suppose -o + 4 = -i. Suppose o*n - 33600 = 7*n. What is n rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1266 (base 9) to base 5.\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2151\/346 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23225819*h**3 + 21118585*h**2 - 6 wrt h.\nAnswer: 139354914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 21.4. Let w = x + 21. Let q = -1.2 - -0.2. Sort w, -2\/11, q in increasing order.\nAnswer: q, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 17*a**2 - 26*a - 154. Give l(-7).\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1216 + 502 = 0. Let q be 10\/(-3)*k\/(-16). Let a = q - -148. Put 2\/11, a, -3 in descending order.\nAnswer: 2\/11, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160517 (base 9) to base 15.\nAnswer: 1e441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(14\/6) + (-1800)\/(-63). Let i = u - 21. Calculate the smallest common multiple of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*-990.\nAnswer: 2277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Calculate the least common multiple of m(-8) and ((-1340)\/(-35))\/4 - (-64)\/(-112).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31949 + 4.68051. What is the nearest to -1\/3 in 10\/27, 7, k, 1?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14152)\/(-24) + 8\/6. Is x equal to -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1 + 1 + 3*p. Let u = 28 + -23. Let a(t) = -t + 10*t - 6*t - u*t. What is a(w(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 14 = -3*a. Suppose -a*b + 5 = -b. Suppose -4*y + 5*o - 5 = 0, 7 = y + o - 3. Calculate the highest common factor of y and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 a factor of 4012998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1221 + 1224. Let w(p) = p**2 + p - 6. Let h be w(-6). Suppose r - 4*a - 126 = 0, -r - d*a + 102 + h = 0. Does 22 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2\/3 + 902482*t\/3 + 601652 = 0.\nAnswer: -451239, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121002 (base 3) to base 9.\nAnswer: -2532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtt when three letters picked without replacement from {d: 5, r: 1, c: 8, t: 2, s: 2}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpppplzpppppplp. Give prob of picking 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 2. Let y(w) = -w**2 + 19*w - 13. Let q be y(18). What is k(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(50)\/(sqrt(10) + sqrt(90)*5))**2.\nAnswer: 15\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-12)*2\/(-4). Let i be 1\/(-6)*(-6)\/69. Let d = 131\/483 + i. Which is the nearest to 1? (a) p (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -15. Let k = s - -30. Which is the nearest to k? (a) -3 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 - 2. Which is the nearest to 0? (a) p (b) -0.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6462490 rounded to the nearest 10000?\nAnswer: 6460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2748 and 43219928.9.\nAnswer: 43222676.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k - 20. Let s = 10 + -23. Sort 5, s, k.\nAnswer: s, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -11 + 9*v - 7\/3*v**3 - 1\/2*v**2 + 1\/4*v**4. Let k be h(7). Solve 2 + k = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1168 and 4745073?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 s when three letters picked without replacement from aaaaaaaaasaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 257727427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10100110010010100 (base 2) to base 4\nAnswer: -110302110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0*z + 7*z - 4*z)*(-468 + 12*z + 468) as r + g*z + b*z**2 and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1122 + 2.13. What is z rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = 7. Let r = 16 - k. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/11250 and -53\/33750.\nAnswer: 33750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z*z*z*z**(-18)*z*z)*z\/z**(-3\/8)*z**(-19)*z*z**(-29)*z*z assuming z is positive.\nAnswer: z**(-229\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83466106, 83466104, 83466102?\nAnswer: 83466100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 + (-90)\/40?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015369 rounded to four decimal places?\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2262*x - 1116 + 1116)*(3 - 5 + 3)*(x - 2*x + 0*x) to q*x**2 + y + z*x and give q.\nAnswer: -2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + 1 + -4 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 734 * -0.5.\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 19*v**3 - 24*v**2 - 32*v - 90. Let t be s(-20). Round t to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1826, 1, 3, 0.4 in descending order.\nAnswer: 1826, 3, 1, 2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3236169.2 and -0.2.\nAnswer: 3236169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 1463161.\nAnswer: -41\/1463161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*b*p**5 + b*p**2 + 10*b + 5*p**4 - 8*p**2 wrt p?\nAnswer: -1140*b*p**2 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18144628 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 7:15 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19246 - -19248. Let -1\/3*d**x + 0*d + 4\/3 = 0. What is d?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4044*d**3 - 5011*d**4 - 4044*d**3 - 4018 - 779*d**4 + 437 wrt d?\nAnswer: -23160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-12)*-4 - 121. Let d = u - -122. Suppose -2*t - d*t + 40 = 0. Solve -4*y + 3*x = -2*x + 20, y - 3*x = -t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.531 + -4.531. What is the third biggest value in j, -1, -0.47, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1 - 3 - 8*u + u - u**2. Let l be s(-5). Let j be 0 - (-3 + (33\/l - 2)). Which is smaller: 14 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.972 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 337*b**4\/4 + 38*b + 193. Find the first derivative of a(u) wrt u.\nAnswer: 1011*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143)*-2 + sqrt(143))*-3 + sqrt(143) - sqrt(143) - (sqrt(143)*-1 + sqrt(143))*-4)\/(sqrt(77)\/sqrt(252)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 277275751 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6705.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = 54 - 120 + 39 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 161*g. Let b(d) = -2*d. What is z(b(l))?\nAnswer: -12*l**2 + 322*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3 times -96580?\nAnswer: -511874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -m - 6*p + 8*p, 11*p = 15*p + 4 + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2631090 and 358785?\nAnswer: 7893270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1700476 and -3.\nAnswer: 1700473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/4620*-55 - (0 + 22\/(-84))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-4)\/5)\/(9\/45))\/1. Which is smaller: -5\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t. Let p(b) = 12*b**2 - 55*b + 14. Let n(k) = -6*o(k) - p(k). What is the remainder when 105 is divided by n(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7868 = -2921*o - 85696 + 11776 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 3*u + 2*w, 5*u = -2*w + 8. Solve -4*b = -2*d + 8, -u*d + 0*d - 13 = 3*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -52\/21 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -197*b**2 - 4033*b - 15250. Determine z(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 8*r**2 - r - 1. Let f(n) = 7*n + 69. Let v be f(-11). Give i(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.44 - -6.14. What is the nearest to -2 in 0.1, i, -35?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovvnvovonvooonvonnvv. What is prob of picking 2 n and 2 v?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-54)*((-127872)\/(-10915))\/(-96).\nAnswer: -6\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 92.61603 decades?\nAnswer: 0.9261603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 66. Let d be ((-48)\/3)\/1 - 2. Let f = d + 24. Solve -n = x - f*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.395 in -0.1, 1\/3, 9, 1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmighimigidr. What is prob of sequence gg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x = 4*i - 14, 5*x - 25 = -2*i. Suppose -55 = -x*s + 572. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3958, -7756, -11470, -15058, -18478, -21688?\nAnswer: -24646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5+4.94\nAnswer: 9.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -381910 to the nearest one thousand.\nAnswer: -382000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - q + 197 = -2093, -3*y - q = -1376. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230331 is divided by 230063?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = z + 2*f, -2*z + 3*f + 4 = 0. Sort -5, -6, z, -2 in descending order.\nAnswer: z, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.578879km?\nAnswer: 4578879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-480)\/56)\/(4\/28). Let k(g) = -20*g - 8. Let f be k(-7). Let n = f + w. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63596247 divided by 148243.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 4)*(-3*v + 4*v - 3*v) + v + v - 4*v - 2*v - 5 + 5 + 19)*(154 - 98 + 55).\nAnswer: -666*v + 2109","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:56 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a63 - -104?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22860303?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/17 - 8*s**2\/17 - 56*s\/17 - 64\/17.\nAnswer: 2*(s - 8)*(s + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/11))**(-18)*(a**0)**(-5\/17) assuming a is positive.\nAnswer: a**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -676*o - 5381. Calculate p(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10 + -12 + 19 + -18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (82\/6)\/(14\/(-336)*8). Calculate the remainder when h\/((12 + -5)\/(-21)) is divided by 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 929\/15. Let x(j) be the third derivative of 0*j - 1\/3*j**3 - 1\/4*j**4 - o*j**5 + 3*j**2 + 0. Factor x(s).\nAnswer: -2*(s + 1)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19586\/91 + -110 - 106.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/20370 and -97\/1155?\nAnswer: 224070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29*(16 - 46\/3). Put 0.07, m, 2\/5 in increasing order.\nAnswer: 0.07, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.08 (b) -4 (c) -0.3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9519908176 + 4*m**2 - 6*m + 9519908176 + 6*m - 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/16380 and 73\/94068?\nAnswer: 3292380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1466*u + 1460*u - 13*u**3 + 1462*u - 4388*u.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*f - 147*f + 301*f = -u + 23, u + 9*f - 71 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - 9*2\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -56. Let g = 63 + u. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 709 + -680. Calculate the remainder when 192 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + p - 1. Let g(t) = 5*t**2 + 12*t + 1. Let c(w) = g(w) - 6*i(w). Let f be c(6). List the prime factors of 82\/7 + 2\/f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1029, -3 in decreasing order.\nAnswer: 1029, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 3*s + 2. Let h = -17 + 19. Let f be x(h). Find r, given that 24*r**4 + f*r + 24*r**5 - 3\/2*r**3 - 3\/2*r**2 + 0 = 0.\nAnswer: -1, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1728 and 14.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4125.3, -4 in descending order.\nAnswer: -0.2, -4, -4125.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 68 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c - 6*c - 22*c - 3*c**3 + 2*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19871581, -19871574, -19871553, -19871512, -19871445, -19871346, -19871209, -19871028?\nAnswer: -19870797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 791 - 791.0006672. What is w rounded to 5 dps?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*u + 72*u - 40 = 5*r, 4*u - 5 = -5*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(7\/4)*(t**(2\/23)\/t*t)\/t assuming t is positive.\nAnswer: t**(-153\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 + -2)*(-8)\/(-12). Suppose -f = f - l. Let n be 26\/6 - 1\/f. Solve -n*h + h = 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -0.304648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.50034 * -0.8\nAnswer: 0.400272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 36. Let k(q) = -q**3 - 5*q**2 - 5*q - 3. Let c be k(-3). Let l be (a + 9)*2\/c. Put 3, l, 4, -1\/2 in decreasing order.\nAnswer: 4, 3, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m**2 - 5. Let t be -7 - 7 - (0 + -4 + 1). Let q(c) = -3*c**2 - 2. Let j(y) = t*q(y) + 6*b(y). Differentiate j(o) with respect to o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -3*b + s, 663*s - 667*s = -20*b + 840 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29691 or -9450?\nAnswer: 29691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/61918 and 85\/746?\nAnswer: 61918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + b - 50 + 51 = 0, -3*b = 3. Solve z = -11*q - 3*q + 70 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*z - 2*z + 2*s, -s - 7 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2240 (base 5) to base 2.\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9702, -9879, -10362, -11307, -12870?\n\"Answer: -26*r**3 + 3*r**2 - 4*r - 9675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(1\/2). Suppose 9 - p = 2*f. Solve l - f*m + 4 = 0, 0 - 6 = -3*l + 3*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.171819t in kilograms?\nAnswer: 6171.819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -928*o**2 - 929*o**2 - 334*o**3 + 1857*o**2.\nAnswer: -334*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123405 and 254604?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 + 2*l. Let i be o(-5). Let v(c) = -c**3 - 12*c**2 - 10*c + 15. Let f be v(-11). Suppose -i = -f*n - n. Solve -n*k + 8 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*z**2 + 2*f**2 + 16850*f*z**3 - 6*f + 5925 wrt z?\nAnswer: 4*f**2*z + 50550*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 + 11*z + 12. What is b(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/279732 and -5\/66.\nAnswer: 3077052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2. Let h(i) = 10*i**2 - 3*i - 3. Let f(z) = -10*z**2 + 2*z + 2. Let a(r) = -3*f(r) - 2*h(r). Calculate a(n(g)).\nAnswer: 360*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 29*j + 11. Let w(r) = 11*r + 4. Let m(v) = 3*k(v) - 8*w(v). Let u(x) = -6*x**2 + 3. Suppose 4*y + o + 0 = -8, -1 = 5*y - o. Give y*u(i) + 2*m(i).\nAnswer: 6*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(88)\/sqrt(8))*4.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*w + 15. Suppose 0 = -2*g + 5*u + 30, -5*g + 0*g = -w*u - 113. Suppose -g - 3 = -4*q. Solve 1 = -2*p - 4*n - q, -4*p + 3*n + 6 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243393, -243394, -243395, -243396?\nAnswer: -243397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2327934*m - 36 = -4*o + 2327935*m, -4*o = 3*m - 73 + 21 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 708.005404 - 708. Round o to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 35 = 0, 0 = 70*f - 71*f + 2*s - 6. Let i = -14 - -27. Calculate the smallest common multiple of f and i.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 + 75 = -4*i. Suppose -30*u - 1643 = 997. Let h = i - u. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let z = 6 - 4. Suppose -z*m = 2*h - 44, 0 = 4*h + 2*m - 28 - 68. Let o = h - 28. Let y(r) = -r. What is o*y(w) - 3*x(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - a = -24, 14*l + 2762 = 3*a + 2655 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13950.9 and 0.5.\nAnswer: 13951.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + 3.477095898115\nAnswer: 4.077095898115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1472.02994 - 1472. Let b = -0.039975 + y. Let o = -0.01 - b. What is o rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 36*i**2 + 70*i - 14. Let n be q(34). What is the highest common factor of n and 1242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, 12, 0.6, 7, -5\/3, -9\/5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 6*t**2 - t + 6. What is r(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 996, 1987, 2978?\n\"Answer: 991*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - i + 7, 2*o - 7*o + i + 9 = 0. Let f = 41 + -370\/9. What is the second smallest value in -1\/3, o, f, -5\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)*o*o*o*o*o**(3\/11)\/o assuming o is positive.\nAnswer: o**(-140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3677*k + 99186. Give x(27).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633343 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 7830\nAnswer: 9396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13356 = -6*w - 6*w. Suppose 6*q - w = 2097. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let c(y) = -37*y + 75*y - 39*y. What is c(b(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 + 2754*f - 632043 = 0.\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941 is divided by 66.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 11*h**2\/2 - 19*h + 9. Let x be c(3). Suppose 10*b + 12 = x*b. Is 2 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozoozzoovzznooozozvo. Give prob of sequence onn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 13*i + 1. Let o be h(0). Solve -18 = -j + 4*d, -2*j - j + d = o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from zokkhokzdyyydk?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f - 2. Let w be c(-2). Let t = 31 + w. Suppose -21 + 66 = 5*u. What is the highest common factor of u and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h - 19*h + 1 - 2 + 10*h. Let x(a) be the first derivative of 6 - 4*a - 1\/2*a**2. What is 4*u(r) - x(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72633 - -42?\nAnswer: -72591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 285322 divided by 862?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + -4*(sqrt(117)*2 - sqrt(117) - sqrt(117))))\/((1*sqrt(54))\/sqrt(6)) - ((sqrt(13) - (sqrt(13) + -1)*-3) + 4 + sqrt(208)))**2.\nAnswer: 16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174051457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-15))\/((-8)\/(-20)). Solve g - 1 = d*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 56*f**2 - 47*f + 574. What is u(-57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-210)\/(-36) - 3\/(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 65434 (b) -0.1 (c) 2\/185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2 + 3464*s - 3466 = 0. What is s?\nAnswer: -1733, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.13226 rounded to one dp?\nAnswer: 171.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, e: 1}. Give prob of sequence pp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 387, 1085, 2353, 4359?\nAnswer: 7271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 324*u**2 - 3376*u - 51836. Let x(w) = 5*w**3 - 1295*w**2 + 13560*w + 207345. Let i(n) = -15*c(n) - 4*x(n). Factor i(f).\nAnswer: -5*(f - 36)**2*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/((w*(w*w**(-1))\/w)\/w)))**48*w**(2\/7)*w**(-2\/13))**(1\/18) assuming w is positive.\nAnswer: w**(2\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s**3 + 3*s**3 - 5*s**3)*(3*s + 2 - 2 + (3*s + s + 3*s)*(1 + 1 - 1)) to g + b*s + j*s**2 + n*s**3 + o*s**4 and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-13)*91\/14)\/(2\/(-68)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -52?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.19, -28, 6\/19, 2 in decreasing order.\nAnswer: 2, 6\/19, 0.19, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -157 + 6 + -3 + (-7 - -2). Calculate the common denominator of ((-54)\/81)\/((-4)\/g) and -83\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:35 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/5952 and -17\/24960?\nAnswer: 773760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 227203 (base 8) to base 16\nAnswer: 12e83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 494725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 324 - 564. Solve 72 = -3*h + m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1568 + 1573. Sort 2\/7, -1\/7, o in descending order.\nAnswer: o, 2\/7, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -321?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmts when four letters picked without replacement from {e: 3, d: 2, s: 2, m: 2, a: 4, t: 2}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52469.\nAnswer: 71, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**17*k*k*k**(-2\/19)*k*(k*k*k*k**(-18))\/(k\/(k*k*k*k\/(k\/(((k\/(k\/(k*k**(-12))))\/k)\/k)))) assuming k is positive.\nAnswer: k**(-116\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {d: 1, j: 1, p: 1, v: 2, y: 1, r: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 - 2 + 373*m**3 + 2*m**4 - 760*m**3 - 2*m + 382*m**3 in the form x*m + z*m**4 + c*m**3 + g*m**2 + k and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 10:54 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782944687?\nAnswer: 7, 131, 283, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4174\/6255 + -4\/6255. Let p = 3 + -2.9. Let f = -8 + 4. What is the closest to p in 0.01, f, r?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + f**3 + 4*f**3)*(-f + 2*f + 2*f) + (-234*f + 5507 - 5507)*(-2 + 2 - f**3).\nAnswer: 240*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q**2 - 7 + q - 8*q**3 - 19*q**2 + 2*q**4 - 14*q**2 + 46*q**2 + 2*q to the form f*q**3 + d*q + s + c*q**2 + p*q**4 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1446*f + 2895*f + 23 - 23 - 1458*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 20376.6 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g*q**3 - 1120386*g*q**2 + 195*g + 5475 wrt q?\nAnswer: 3*g*q**2 - 2240772*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 4:37 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -158 - 43. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 16*h**2 + 29*h - 537. Determine x(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3283 = 9*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8466 is divided by 650?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2)\/(-1))*6. Let k(o) = -o**2 - 14*o + 13. Let d be k(-15). What is the third smallest value in d, 1\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*v, 0 = v + 4*v - 4*o + 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 709.89 + -706. Let q = i - -0.11. What is the third biggest value in q, -5, -3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22788.87g to tonnes.\nAnswer: 0.02278887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -236755 divided by -47351?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 3*d**2 - 6*d - 133. Calculate a(0).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 25651*x - 511. Does 271 divide n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 0 - 24\/7*w - 60\/7*w**2 - 3*w**4 + 78\/7*w**3 = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*m - i, -13*m + 4*i - 46 = -68 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0027917 to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2955 and -1695?\nAnswer: -2195.8725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 62?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -39. Let h be 0\/(u\/(2 - 0)). Let f(o) = -o**2 + 3*o + 3. Let i be f(3). Solve 4 = -j + 2*j + i*p, 2*p = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -212.986284 to 1 dp.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132232 - 3?\nAnswer: 132223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1837 is divided by 1830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19960, 79823, 179596, 319279, 498872, 718375?\n\"Answer: 19955*b**2 - 2*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90084076 is divided by 2845.\nAnswer: 2841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 0.2 (c) 5 (d) 1335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16*28\/77 + (-22)\/(-121). Solve u*l = 11*l + 35 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -45*y - 332. Let l be a(-22). What is the highest common factor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1.1. Let i = -2.06 - -0.06. Let m be (-45)\/150*25\/(-30). Put r, m, i in descending order.\nAnswer: m, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719*y - 723*y - 719*y + 2160*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39068321 rounded to 4 decimal places?\nAnswer: -0.3907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*q + 252, 6*q - 5*q + 52 = r. Let u = 55 - r. Solve 6 = -u*k + 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 1, f: 1, m: 5, c: 3}. What is prob of picking 1 k, 2 c, and 1 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 <= 452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 22. Determine t(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 13) to base 6\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 1. What is j(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k + 56. Let j be f(-11). Let w be j - (7 - 5) - 2\/(-2). Solve 5*t - 3*o + 13 = w, 5*t + 0*o - 2*o = -12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*d. Suppose h + 2*f + 7 = d, -3*h + 3 + 1 = f. Differentiate -s**h - 12 + 0 + 2*s**3 with respect to s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*a = 3*a - 646, -3*a = -h - 202. Let v = h + 217. Solve v*k - 2*q + 5*q - 30 = 0, -5*q = -3*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/10 + 1 + 1. Let p = 2 - -2. Suppose -7 = 5*v - 2, -3*g = 2*v - 1. Which is the biggest value? (a) g (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let i = f - 1. Let g = 852 - 856. Which is the nearest to 2\/5? (a) g (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231100 (base 5) to base 6.\nAnswer: 102151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -19*h**4 + 3*h**2 + 6*h - 3. Let v(m) = 18*m**4 - 2*m**2 - 6*m + 2. Let o(x) = 2*l(x) + 3*v(x). What is the second derivative of o(d) wrt d?\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -2 + 83*1. Let y = 3008 + -2896. What is the greatest common divisor of v and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(14\/6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.2 (c) 4206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(3 - (-7 - 12)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/(8\/(-36)). Let m be 2 + 3\/(d\/(-8)). Solve -2*o - m = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8819\/52 + -2208\/13. Let h = -3.1 + 3. Which is the third biggest value? (a) 1 (b) -0.2 (c) r (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1848 + -92397\/50. Let g = p + 91\/150. Which is the third biggest value? (a) 5 (b) g (c) 4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, g: 10, l: 1}. What is prob of sequence ggi?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17002 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*s + 12*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 - 0.04. Put w, 2.3, -0.1 in descending order.\nAnswer: 2.3, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/30 and 5\/87?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 5)\/((-2)\/(-7)). Suppose 2*r - 12 = -l, 0 = -2*r + 36*l - 31*l + 36. Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -1. What is the nearest to -2 in -0.3, -0.2, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 18 = 2*c. Calculate the least common multiple of 30 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 13. Let f = -14 + 10. What is the units digit of (-2)\/f*(-6 - z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.2, 1\/67?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.32 - 1.32. Let b(r) be the second derivative of -r**4\/12 + r**3\/2 - r**2 - 3*r. Let c be b(3). What is the biggest value in -0.1, m, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 - 52. Let j = f + -75. Suppose -4*z = 5*w - j, 5*w + 2*z + 0*z = 70. What is the lowest common multiple of w and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/((f**(-5)\/f)\/f))\/f*f)\/f)*f**(-2))**(-26\/9) assuming f is positive.\nAnswer: f**(208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 30, -5, -210, 9\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - v + 5. Let m be p(0). Let b be (-360)\/27*12\/m. Let j be (-4)\/14 - b\/14. Solve -2*g = -3*g - j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**18\/((q*q*q**(-1\/29)*q*q)\/q*q))**(-38) assuming q is positive.\nAnswer: q**(-15466\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 4. Let r(p) be the second derivative of -p**2\/2 - 19*p + 2. Calculate -h(c) + 5*r(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*s**3 + 17481*s**2 - 2676636*s - 766180 = 0. Calculate s.\nAnswer: -2642, -2\/7, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532435505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 6315?\nAnswer: 50520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417\/(-3336)*(-3 + 1)*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2760*n - 8280. Let i be a(3). Let o(c) be the third derivative of 1\/8*c**4 + 0 - 34*c**2 + 5\/6*c**3 + i*c. What is o(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -22. Which is the second smallest value? (a) d (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 - 8*a**2 + 7*a - 2. Let f be o(-5). Solve -17*q = 6*q - f for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -167 - -55843?\nAnswer: 55687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqquvqvqvquqqqq. What is prob of picking 2 u and 2 q?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 = -2*p, 20 = 4*y + 2*p - 7*p. Let s = -56 + 55.8. Let f = -2 - -3. Which is the nearest to y? (a) s (b) 3\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -9020.\nAnswer: -2\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 377943 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -24.051. Let y = i + 5.051. Which is the third smallest value? (a) 4 (b) -0.03 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j = -j. Suppose -2*k = 2*a - 20, 0 = 2*a - j*a - 4*k + 10. Let f be (9 - (5 + 1))*(-8)\/(-6). Solve a*r - u + 4 = 0, -3*u = f*r - 1 + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*a = -1, 5*v - 4*a - 20 = -4. Let b = v - 4. Suppose b = -4*o + o. Solve o = -5*k - 15 - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5871, -6065, -6583, -7587, -9239, -11701, -15135?\n\"Answer: -27*o**3 - 5*o - 5839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/15)\/(9\/(-225)*5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c - 10. Let h be d(9). Let z = h + -10. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/20)\/(10\/16)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4355 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 236 and -21.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (9 - -65) + -3 + (14 - 15) + -2?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 3*n - 5. Suppose 3*k - 63 - 21 = 0. Calculate the remainder when k is divided by g(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-8\/11)*l*l**(-45))**(-1\/5) assuming l is positive.\nAnswer: l**(93\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -7 - 13. Suppose 0 = -3*d + m + 25. Solve 0*b - 5*b = -d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 43 (c) -5 (d) -4 (e) -58 (f) 0.0046\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 408*y + 15 - 8)*(2*y - y + 5*y).\nAnswer: -2448*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6\/g**(2\/5)*(g\/(g*((g*g**(4\/3))\/g*g*g*g)\/g)*g)\/(g*g\/(g*g**8)) assuming g is positive.\nAnswer: g**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -67*c**4\/24 - 561*c**2. Let d(o) = -8*o**2. What is u(d(x))?\nAnswer: 536*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (154\/(-84))\/(-11) + 183\/(-18). Is -485\/48 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*m + 32*m - 3*m**4 + m**3 + m**3 - m**3 to the form x*m + u + s*m**2 + j*m**3 + a*m**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) 2\/7 (c) 0 (d) -1.006 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 - -69. Suppose -3*q + 60 = 2*k, 3*q = 4*k + 58 + 2. Calculate the least common multiple of q and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 i when four letters picked without replacement from {l: 4, t: 1, s: 10, i: 4}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003376 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731734.\nAnswer: 2, 865867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09915 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(11) + -4.\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -919, -2039, -5181, -11383, -21683, -37119, -58729, -87551?\nAnswer: -124623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g. Let m(v) = -4*v. Let i(w) = -6*d(w) - 10*m(w). Let u(h) = -7*h**2. What is i(u(o))?\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -211963589, -211963590, -211963591, -211963592, -211963593?\n\"Answer: -j - 211963588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-16 + (18 - 16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 48320*a**4 - 229536*a**3 - 60324*a**2 + 20*a = 0?\nAnswer: -1\/4, 0, 1\/3020, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.79 * 10745.\nAnswer: -62213.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(2*(-3)\/15))\/(1\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*h*m*x - 12372*h - 11156*m**2*x - m**2 wrt x.\nAnswer: 6*h*m - 11156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 112, 204, 296?\n\"Answer: 92*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpo. What is prob of sequence pj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 2*h**7\/21 + 17*h**6\/15 - 29*h**5\/5 - 25*h**4\/6 + 92*h**3\/3 + 44*h**2 - 18*h + 23. Solve i(p) = 0.\nAnswer: -11, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6455 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**6\/30 - n**5\/120 + n**3\/3 - 6*n**2. Let s(q) be the first derivative of m(q). What is the second derivative of s(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10494*w - 36*w**2 - 10494*w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puuu when four letters picked without replacement from nnunppppnupopuppi.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -1047?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 12*j - 292050. Suppose 2*d - 2*a + j = 4*d, 4*a = 2*d - 97344. Suppose 0 = -2*z + 51326 + d. What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5\/((-50)\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*v + 2 = 0, d + 8 = -12*v + 17*v. Solve -2*j + 20 = d*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 21527500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(108)\/sqrt(2))\/(2*(sqrt(2) + sqrt(32))) + (sqrt(6) - (sqrt(600) + -2*sqrt(600) + sqrt(600)))\/(3*(sqrt(2) - (sqrt(8) + sqrt(2)))))**2.\nAnswer: 49\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 + v**2 - 6*v - 6. Determine g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*q = 35. Suppose 130 = q*f - 90. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -394886?\nAnswer: 7897.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttctcqqqtqtccqqqqtq. Give prob of sequence tccq.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2105.\nAnswer: 1\/2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 21 = -5*o, -13 = 3*v - 2*v + 3*o. Suppose 12 = 3*d - v*w - w, -3*d - 5*w = 4. Sort 5, -2, d in descending order.\nAnswer: 5, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.285, 20\/9, -2\/17, 4\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 + 58 - 115 + a**3 + 18*a**2 + 56 + 0*a**4 to the form w*a**4 + i*a + v + t*a**2 + m*a**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1446 + -134442?\nAnswer: -132885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x. Let g be c(-1). Let j = -3 - -2.5. Let n = 0.3 + -0.3. What is the closest to n in 2\/7, j, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + u - 6*u + 29 = 0, -5*u + 22 = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 196086851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242 + -242. Solve 6*k - k = w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**2 + 0*t + 0 - 2\/27*t**3 + 1\/270*t**5 - 1\/108*t**4. Let n(x) = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -53, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 279607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -16. Let x be 24\/(-16)*8\/o. Let t(u) = u**2 - 2. Let c(i) be the second derivative of -i**5\/20 + i**4\/6 - i**2 + 2*i. Give x*c(d) - 3*t(d).\nAnswer: -2*d**3 + d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - -2. Let j = 25 - t. Suppose 13*k - 15*k + j = 0. Which is the closest to 0? (a) 1\/6 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - d - 17, -6*f + 4*d = -4*f - 26. Let l be 3\/((-105)\/483*f\/(-5)). Solve 2*p + 4*o - l = -1, o + 8 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -734 times -0.882789?\nAnswer: 647.967126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -73dda (base 15) to base 16\nAnswer: -59c0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/36 - 5*n**3\/27 + n**2\/18 + 5*n\/9 - 231. Let m(t) = 0. What is t?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*z - 37 = 0, z + 8 = 2*r - 5. Let f(o) = -2 + 10*o + 866*o**2 - 865*o**2 - 19. Let s be f(r). What is the greatest common factor of 10 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-15)\/6)\/5*-274 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 5043*t**4 + 8446826*t**3 - 4647553414*t**2 - 86275550235*t - 81619544951.\nAnswer: (t - 1687)**3*(t + 1)*(t + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 18*u**3 + 2*u - 1. Is 6 a factor of j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 + -0.02. Let w = -21 + 16. Is o >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.4 + 21. Which is the closest to 1? (a) 5 (b) o (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849961 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -3, 7, -1, 2 in increasing order.\nAnswer: -3, -1, 2, 7, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 275822797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4444 + -33?\nAnswer: -10032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*8256\/(-516)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1279\/30 + -314\/5. Suppose -3*o + 4*o - 2*z - 37 = 0, -o = 5*z - 23. What is the common denominator of l and (173\/o - 5)*(1 + -19)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 140*m + 2017. What is the remainder when o(-135) is divided by 168?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130231113 (base 4) to base 15\nAnswer: 24c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/60 - x**4\/12 - 2*x**3\/3 - 8*x**2. Let b be i(4). What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3, 92.9?\nAnswer: 92.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s - 2*s + 0*s)*(-5*s**2 + 4*s**2 - 2*s + 4*s**2) to the form r*s**2 + u + l*s + a*s**3 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.0633274 meters?\nAnswer: 63327400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77427036?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9315)\/7452)\/(306\/(-296) + 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*o - h + 32, 0 = 4*o - h - 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(17) + -5)*4.\nAnswer: -22 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95063 divided by -2?\nAnswer: -95063\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**5*h**3 - 26*d**5 + 2*d**2*h**3 - 5*h**3 + 34*h**2 wrt d.\nAnswer: 300*d**2*h**3 - 1560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, 2, -10, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 + 0.04. Which is the closest to 1? (a) 5 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3. Let c = 3 - w. Suppose 2*j - 3*u = -1480012, c*j + 0*u - 2*u + 2220008 = 0. What is j rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9063130745 and -3.264?\nAnswer: 9063130741.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 288.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.021, 2, -1\/2, 1.73.\nAnswer: -1\/2, -0.021, 0.3, 1.73, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1068, 2\/5, -1.2, -4, -2.\nAnswer: -1068, -4, -2, -1.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1584) + 4*sqrt(1584)*6 + (sqrt(1584) + 5*sqrt(1584))*-1 + -3)**2.\nAnswer: -2280*sqrt(11) + 571849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 2\/6*-15. Which is the biggest value? (a) 2\/13 (b) -0.03 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 256 = 2*d, 0 = -4*l + 5*d + 326 + 186. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4848 is divided by 144.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*x = -3, -3881*x - 42 = 3*c - 3891*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 0.02 (c) 356\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4781\/2 or 2392?\nAnswer: 4781\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 t when three letters picked without replacement from {s: 8, t: 4, u: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 33. Let g = r + -23. Suppose -12 = 3*w, 5*f + 3 - 26 = -3*w. Calculate the lowest common multiple of g and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 561340 and 340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 6*y**2 + 5*y - 1. Let b be r(-5). Suppose -126 - 10 = -4*l. Let v = -31 + l. Sort 1, b, v in ascending order.\nAnswer: b, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/6 + 51\/(-9) + 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j + 5. Suppose l - 12 = 6*c - c, 5*l + 3*c - 144 = 0. Suppose -d - l = -10*d. Let k = -12 - -20. Let o(p) = 14*p - 14. Give d*o(x) + k*m(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2508)\/132 - -20)\/(1*(-2)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**2*x**2 + 193562*l**2 - x**2 + 40323*x + 5 with respect to l.\nAnswer: 10*l*x**2 + 387124*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -16) + (3 - -1) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 49\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwuvuduuuzwvdw. What is prob of picking 2 v and 1 d?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 476989, 476978, 476961, 476938, 476909, 476874, 476833?\n\"Answer: -3*h**2 - 2*h + 476994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -9*r - 42. Suppose 204 = 5*z - r. Is 45 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 36148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1583*d = 1586*d - u - 21, 0 = 3*d - 2*u - 27 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -14*a + 1. Let n(g) = 3*g - 103 - 10*g - 22*g - 12*g + 106. Calculate -17*i(w) + 6*n(w).\nAnswer: -8*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 14, -44, -108, -172?\n\"Answer: b**3 - 12*b**2 - 17*b + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-1 + 4)*-208. Let u = j - -616. Sort u, -6, -4, 3 in decreasing order.\nAnswer: 3, -4, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -163\/30 >= 137\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*t + 7*t - 60 = 0, 10 = -c + 2*t. Find the common denominator of 103\/18 and (-1)\/7*399\/c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(2299))*-5 + (sqrt(475)*-2 + 0 + 2*1*sqrt(475))**2.\nAnswer: -55*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 3. Let x(u) = 10*u + 16. Let b(i) = 11*j(i) - 2*x(i). Suppose 3*r + 24 = -2*y + 1, 4*r + 24 = -y. Determine b(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 45*y - 130*y - 6 + 26*y in the form a*y + v and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -370*t. Let v(x) = 5*x + 2. Calculate v(o(y)).\nAnswer: -1850*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 + 0 + (-105)\/(-60). Suppose 3*t - 14 = 5*o, m*t + 2*o = -o + 3. Sort t, -18, 5 in descending order.\nAnswer: 5, t, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*t = 270*t - 45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yltylyy. What is prob of picking 1 y and 2 l?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - -2 - (-42 - -52 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 w when four letters picked without replacement from {n: 5, w: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/(6\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m**2 + 0*m - 1\/7*m**6 + 1\/14*m**4 + 4 + 4\/35*m**5 + 0*m**3. Factor b(w).\nAnswer: -2*w**3*(w - 1)*(3*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*s + 21*s - 36*s)*(3 - s - 3) - 3 + 3 + 2*s**2.\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let j = -777 + 31855\/41. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12568544 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 5*c**4 + 14*c**4 - 2*c**3 - 1 + 538*c**2 - 15*c**4 - 538*c**2 as b*c**4 + i*c**3 + d*c + u*c**2 + r and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -14.6. Let w = v + 0. Sort 1, 0, w in ascending order.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0*q + 4 = -4*q, -14 = -5*m + 2*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3764.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 6:34 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-5)\/10)*180. Let w be ((-30)\/8)\/((-6)\/16). What is the highest common factor of w and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3784407ml?\nAnswer: 0.0003784407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9364575 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45397.337 rounded to the nearest one hundred?\nAnswer: 45400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-714)\/(-78) - (9\/4 + 189\/28).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 278, -111, 30 in descending order.\nAnswer: 278, 30, 1, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -8 (b) 9 (c) -1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4155897 - 12*k**2 - 4155904 + 12467699 - 4155898.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5355, -10531, -15473, -20091, -24295, -27995?\nAnswer: -31101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w**2 - w + 1. Let f(v) = -v**3 - 12*v**2 - 10*v + 6. Let q be f(-11). What are the prime factors of x(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077\/4 != 519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-51615)\/434)\/(-111))\/((-1)\/(-7)*2)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/21)*(f*(f\/(f\/((((f*f\/((f*f**(-4\/11))\/f))\/f)\/f)\/f)))\/f)\/f assuming f is positive.\nAnswer: f**(-169\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-10930))\/((-1)\/(-15)). Let r = -299\/339887 + -36768688093\/1485985964. Let g = w - r. Calculate the common denominator of -1\/6 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7975*o - 2340*o + 823122 = -6294*o + 310175 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10596)\/9560 + -1 + (-3)\/(-2). Let s = 2\/239 + f. Put -2\/9, s, 6 in decreasing order.\nAnswer: 6, -2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 - 3764*d**2 + 2759*d + 1887527. What is b(-1255)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*a - 79, -2*t + 3*t - 2*a + 40 = 0. Let g = 180 + t. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-3)*(-42)\/(-105).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 4*p - 2. Suppose -3*a = -4*j - 6 - 9, 0 = -3*j - 2*a - 7. Give v(j).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3179 = 100*u + 10079 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 17 + 13. Let j be 5 + -1 + -1 + -2. Solve -h = -r*b - 10, 0*b - j = b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - -0.34. Let l = -10.1 - -9.1. What is the third smallest value in 0, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11634678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 - 18 = 28*x. Solve x*a - 55 = -67 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8.5, -4, 5\/7, 4\/5?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -463056 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 24 = -2*k, 4*h + 1 = -2*k - 7. Is ((-12)\/h + -65)*(-1)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20.627 or 15577?\nAnswer: 15577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 28, 75, 152, 265?\n\"Answer: q**3 + 6*q**2 - 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18.33 times 0.5\nAnswer: 9.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295*-0.2.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*-3)*6 - sqrt(204))\/sqrt(12).\nAnswer: 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.4. Let d = -81 - -77. Put 2, d, x in descending order.\nAnswer: 2, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 4*v**2 + 2*v**2 + (v**2 + 9*v**2 + v**2)*(-3 - 1 + 6))*(5 + 0 - 3 + 3 + 1 - 3 + (-2 + 1 + 3)*(-2 + 2 + 1) - 1 + 1 - 1)*(-1 + 0 + 0).\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1232*w**3 + 106*w**2 - 7 - 119*w**2 + 2*w**4 - 1233*w**3 - 48*w**2 - 2*w in the form j + c*w + a*w**2 + v*w**4 + i*w**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-5)*345\/46\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (0 + sqrt(363)))*3 + 1*sqrt(363) + 1)**2.\nAnswer: 22*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/49 and 29\/7021.\nAnswer: 49147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**2 - 178*u + 1716. Let f be o(9). Solve -5*b + f = 797 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 922 - 303 = -257*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*3*(-21)\/(-18). Solve 6*b = f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 10. Let l be (6 + -7)*2\/4*-14. Suppose l = -3*o + 28. Determine u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(156) + 1*sqrt(156) - sqrt(156)))\/(sqrt(300)*-2 - sqrt(300) - sqrt(300)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2208a0 (base 11) to base 4\nAnswer: -1112003032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14607.861 rounded to the nearest 100?\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s + 4*y - 1220, -2*y = -10. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15993 - -2?\nAnswer: -15991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -76*s**2 - 9*s + 10. Give y(1).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a - 20. Suppose -3*s + a*s - 9 = 0. Suppose 0 = 3*m + 3*b - 0*b - 57, -5*m + 85 = s*b. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.45, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - 1. Let s be (-5)\/(-30) + r\/(-12). Let y be (2\/s)\/(3\/27). Solve -2*a + 0 = -y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:36 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-3))\/(-2*(-7)\/(-84)). Factor -40*c + 25*c**3 - 2*c - z*c**2 + 2*c - 5*c**4.\nAnswer: -5*c*(c - 4)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*t = 254, 3*v + 7*t - 3*t = 381. Calculate the remainder when v is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1680*l - 1338 + 6378 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1490.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sggi when four letters picked without replacement from {i: 1, n: 6, s: 1, g: 1, q: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - (87 + -193)) + 24?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186453*p**3 + 218*p**2 + 575 wrt p.\nAnswer: 1118718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f - f**2 + 0 - 6 - 1. Let s be p(-4). Suppose 7*k + 3 = s. Calculate the greatest common divisor of 24 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54059, 105193, 156327, 207461?\n\"Answer: 51134*k + 2925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 2*u. Let h be d(-2). Let i be ((1 - 1) + 3)\/(-6 + 49\/7). Determine f so that -344*f**h + f**3 + 349*f**4 - 15*f**2 - 10*f - f**i = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g - 24. Let v(b) = -2*b**2 - 25*b + 7. Let f be v(-13). Calculate the lowest common multiple of 2 and s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/21)*l**(-10\/9)\/l)\/(l*l**(-5)*l)**(-13\/5) assuming l is positive.\nAnswer: l**(-3092\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42101 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) - (-1284)\/1161. Is w greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/3 - (-2)\/(-6). Suppose 1 + l = 3*d. Suppose 2*o = -d*o + 85. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z. Let v(h) = -28*h**2 + 7*h - 11. Let b(x) = 15*x**2 - 4*x + 6. Let y(w) = -11*b(w) - 6*v(w). Calculate m(y(d)).\nAnswer: -24*d**2 - 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 1\/180*h**5 + 11\/6*h**3 + 0 + 41*h - 9\/2*h**2 - 19\/108*h**4. Factor u(i).\nAnswer: (i - 9)**2*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 796*p**2 + 217*p**3 - 795*p**2 - 4.\nAnswer: 217*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/9334921 and -121\/738.\nAnswer: 168028578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from sssssslsssssssssss?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1278 and 57272718?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5868954 and 183456.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3 - (2 + 2)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 5*b**3\/6 - 3*b**2 - 59*b. Let n(q) = q - 1. Suppose 2*p - 16 = -4*z, 3*p = 6*p + z - 9. Determine p*j(v) - 11*n(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2099*(6\/(-21) - 408\/(-56)) - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13)*9\/1620*12*-5?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**4\/4 - 29*s**3\/2 - 173*s**2. Let b be d(21). Calculate the highest common divisor of 52 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (869\/99 - 9)*(-9)\/33069. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -10034110?\nAnswer: -10034112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4822203 and 1173.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*l = -149, -3*i = -4*l - 64 - 17. Suppose 0 = 3*b - 2*b - i. Suppose 4*a = -0*m - m - 8, -4*m + 5*a = -b. Solve 0*p = p - 3*o, m*o = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -2*m. Suppose -5*c - 11 = 2*q - 2, 4*q + m*c = 0. Suppose -q*v = -9, -v + 3 + 5 = 5*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*((sqrt(833)*-3)**2 - sqrt(17)) + 0)*2.\nAnswer: -12*sqrt(17) + 89964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6976286*p**2 + 3474999*p.\nAnswer: -13952572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469613 is divided by 180?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffafafaffffffaffffff. What is prob of picking 3 f and 1 a?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2515201?\nAnswer: 13, 17, 19, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5298170 times 5\nAnswer: -26490850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n**4 - 22234*n**3 - 21*n**2 + 44461204*n wrt n.\nAnswer: -48*n**2 - 133404*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 0*q + 1 + 11\/2*q**2 - 1\/3*q**3. Let r(d) = -2*d**2 + 21*d - 1. Let b(j) = 7*m(j) - 4*r(j). What is b(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -286 + 285.5. Which is the nearest to -0.2? (a) -2\/21 (b) m (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2 + 2)*(-15 - 22 - 33)*(4 + 9*v - 10 - 7*v).\nAnswer: -280*v**2 + 840*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - ((-108)\/(-2))\/(-2) is divided by -3 + (-539)\/(-33) + (-4)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 3 (c) -6 (d) 0.6 (e) 59116\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 278 or 277?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/125)\/(27\/(-20)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = s - 21, 4 - 11 = 2*o - 3*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 5. Let f be s(-15). Suppose g - 6*g = -f. What is the units digit of 5 + -5 + g + 44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/21 - (-6)\/(32\/(-16)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k*v**2 - 2*k + 36512*v**2 - 7387889*v wrt v.\nAnswer: 10*k + 73024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-n + 0*n - n) - 4 + n + 4 - 3*n + 6*n - 2*n + (-3 + 0 + 2)*(-n - n + 4*n) - 40 + 40 + 88*n + n + 27 - 27.\nAnswer: 91*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, 0, -28, 5, -4, 3.\nAnswer: -183, -28, -4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1498 + 3*r**2 - 2*r**3 + 0*r**3 + r + r**4 - 1500 - r**2 to q*r + n*r**4 + u*r**3 + f + h*r**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.76 rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 23*x + 131. Let d be o(14). Solve -448*z + d*z - 30 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, k: 9, r: 6}. Give prob of picking 2 k and 1 v.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58153.69 hours in minutes?\nAnswer: 3489221.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13962 is divided by 668.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/(-6))\/(-16)*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*g + 26421 - 1122429 = 0, -4*g = 4*r + 1095992. What is r rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -14. Let h(f) = f**3 - f + 22. Let i(w) = w - 2. Let y be i(2). What is the remainder when h(y) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6743*d**3 + 10 - 436*d**2 + 436*d**2 - 10.\nAnswer: 6743*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-4))\/1*(-132)\/858*403.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 61*w**5\/20 - w**2\/2 + 5*w. Let y be z(1). Suppose -2*u = 2*u - y. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 - 20*r + 20*r - r**2 + 5 + 3*r**3 in the form f*r**3 + m*r + i*r**2 + a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 0 - (1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35606, 35911, 36216, 36521, 36826, 37131?\n\"Answer: 305*u + 35301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -23. Solve 3*f + x + a = -0*x, -5*f + 5*x = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 + -1110003321?\nAnswer: -1110010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 7 + 7 + 191*o + 15 + 6 - 119*o.\nAnswer: 76*o + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 - 2226 + 1126 + 1100.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209325 + -209327. Let z = 1.8 - 2. Which is the closest to u? (a) 0.1 (b) 4 (c) z (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from jnjjnjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -2)*1 + 5. Let y(r) = r**2 + 4*r + 2*r + 0*r**2 + 9 - z*r. Is 16 a factor of y(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1.8. Let w = 254.262 + -0.262. Let a = -249 + w. Put a, -5, f in descending order.\nAnswer: a, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/28800 and 59\/11940.\nAnswer: 5731200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.329037 litres in millilitres?\nAnswer: 9329.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - x**2 - 1 + 695*x**3 - 694*x**3 - x + 2*x**3 - 1 + 1 + (-2*x + x**2 + 2*x)*(5*x - 2*x + 2*x) + 3*x**3 - 3*x**3 + 2*x**3.\nAnswer: 10*x**3 - x**2 - x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/182 and 119\/2574.\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (9 - 3 - (2 - -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3002 and 4142.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1391, -0.5, 0.1, -3\/4, 1\/3 in increasing order.\nAnswer: -1391, -3\/4, -0.5, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 11*q + 14. Let y be k(-1). Which is smaller: -476 or y?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 750789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/5 + 44*m**3\/5.\nAnswer: -2*m**3*(m - 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46431493*a - 23215776*a - 23215716*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 265.212865207 and 513.\nAnswer: 778.212865207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**5 - 9*f**4 - 19*f**3 + 5*f**2 + 20*f + 20. Let w(m) = 2*m**5 - 9*m**4 - 20*m**3 + 2*m**2 + 21*m + 19. Let v(q) = 3*u(q) - 4*w(q). Factor v(z).\nAnswer: (z - 1)*(z + 1)**2*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7389.2 take away 713036?\nAnswer: -720425.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 9534139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 841*-3.\nAnswer: -2523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 divided by -441.\nAnswer: 122\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1538596 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2463\/328 + -3\/328. Let m = 40 - 46. What is the common denominator of w and (2*2\/(-40))\/(m\/915)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 7*d**4\/12 + d**3\/3 + d**2\/2 - d. Suppose -17*p - 20 = -22*p. Suppose p*a - 5 = -3*u, 2*u - 2*a = -u - 7. Give s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32cb74 + -1?\nAnswer: 32cb73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 219246 - h**2 + h**2 + 219246.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 95878482 and -219.\nAnswer: 95878263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:30 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7844?\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2014\/103, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pis when three letters picked without replacement from {p: 3, s: 1, i: 2, c: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -715.69 - -32.79. What is y rounded to the nearest ten?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25979901 + -30.64591\nAnswer: -25979931.64591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((-21 - -11) + -2 + 11 + -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/11 (b) 4 (c) 1484\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 126 = 21*b. Suppose -4*q - 4*f = -36, 11*q - 2*f - 2 = b*q. Which is bigger: 29\/6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1))**21*(h**(2\/5))**(-8))**(-30))**(-27) assuming h is positive.\nAnswer: h**(-19602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2*(-1 - -1). Let n = 348.6 + -348.56. What is the closest to -1 in n, 0.01, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 + 1.49. Let c = m - -0.66. What is c rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/4 + 181*r**3\/4 + 561*r**2\/2.\nAnswer: -r**2*(r - 66)*(3*r + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 36*o + 36. Let p(a) = 7*a + 7. Let s(y) = 4*f(y) - 21*p(y). What is s(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*d - 9 - 12, -4*d - 10 = 5*a. Let k be (2*-3)\/(1\/(-1)). Suppose 0 = 3*h - 36 + k. What is the highest common factor of h and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 88066.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 12905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9790878001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*v - 35 = -112*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 251500207 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 215825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 1 - 1)*(3*m - 2*m + 0*m) + (-7*m - m + 22*m**2 - 23*m**2)*(69*m - 26*m - 15*m).\nAnswer: -27*m**3 - 224*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 25 = 23*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let m be t(-2). Let n(p) be the second derivative of -p**3\/2 - 2*p. Let h be n(-1). Solve -h*v + m*v = 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 5. Let j be -1 + 0\/q + 3. Solve 0 = c + j*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 8:34 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (492\/(-252))\/((-3)\/(-9)) + 2*3. Let d = 10.5 - 0.5. Let r = -9.6 + d. Which is the closest to r? (a) -2 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818.042 - 0.208?\nAnswer: -1818.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 5 + -7 - (1 - 15)) + (-45 - -23).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 16838097*u**2 - 1 - 16839675*u**2.\nAnswer: -1578*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*o + 27 = 0, 19*x - 21*x + 15 = 3*o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37614 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1671963, 3343925, 5015887, 6687849?\n\"Answer: 1671962*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -19*u + 1000. Let p be y(52). Suppose -n - 4*n + 60 = 3*c, -3*n + 4*c + 36 = 0. What is the greatest common divisor of n and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -210*u**2 + 157*u + 3991. Determine l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*c = 19, -2*h = c - 10 - 0. Suppose 132 = -h*a + 559. Suppose -7*x = a - 733. Calculate the greatest common divisor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/810)\/(38\/342))\/((42\/(-15))\/(-7)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -7397141?\nAnswer: -7\/7397141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(3)*1 + sqrt(9)\/(sqrt(6)\/sqrt(2)))*1)**2.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303029 is divided by 455?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + -1 - 51\/(-30) and 8\/(-12)*-3 + 114\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51833490 and 1290?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1170 - 2?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 12222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1219 is divided by 88.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 280045803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*z + 78, -5*m = -10*m - 3*z + 195. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*d + 16 = -4*d, 2*x + 8 = -3*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -40951*f. Let s(w) = 13649*w. What is 2*h(o) + 7*s(o)?\nAnswer: 13641*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27893728+19\nAnswer: -27893709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 639088247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 56. Let k(j) = -21*j**2 + 6*j - 21. Let u(z) = 22*z**2 - 8*z + 28. Let l(w) = -4*k(w) - 3*u(w). Give v(l(x)).\nAnswer: -324*x**4 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**2 - 13*o - 28. Let i(l) = 4*l**2 + 7*l + 15. Determine 6*g(z) + 11*i(z).\nAnswer: 2*z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.8 - -2.2. Let d = 9.6 - f. Let j = -2 - -2.5. What is the third smallest value in 5, j, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 619 - 77. Let v = -6 - -16. Is v\/(-25) - x\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 300484729 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 44*r + 900. Calculate y(-12).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12055, 12037, 12011, 11977, 11935, 11885, 11827?\nAnswer: 11761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*(m\/m**(4\/5))\/m)*m**(-1\/4))**18*(m\/m**(3\/4))\/(m**(-6)\/m)*(m**0*m*m)**(1\/25) assuming m is positive.\nAnswer: m**(-77\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 57. What are the prime factors of f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 4\/3, 26, -4, 297, -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-1\/5))\/(h*h**(1\/10)*h))\/(h**1*h)**(16\/7))\/((h**(-1\/3))**(2\/43))**29 assuming h is positive.\nAnswer: h**(-45347\/9030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (3 + -2 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -17. Suppose y + 4*y - 15 = -q*c, -5 = -c - 3*y. Solve 3*z - 25 = -c*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23340)\/25)\/6*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 0.3, 2\/11, 2\/9, 3\/53, 3?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -246e?\nAnswer: -2470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-312))\/(11\/(-132)).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.177 * -3.1\nAnswer: -6.7487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47704 and 416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399491, 399489, 399487?\nAnswer: 399485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 65411602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 4*f**2 + 4*f. Let a be w(-5). Suppose 0 = -l - a*o + 67, 2*l + o = -0*l + 134. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*t + 2*d = -50*t, 0 = -4*t - 4*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3251.\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 24 = -3*v, 3*v = 5*s + 4*v - 18. Let b(g) = -g**3 + 4*g**2 - g - 2. Let u be b(s). What is the derivative of 9 - 4*w**4 + 3*w**u - 15 wrt w?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 94 = 2*s, 2*y - 188 = -2*s - 2*s. Suppose -13*h + s + 5 = 0. Solve -5*d + 4*f - 32 = 0, -2*d + 6*f - 14 = h*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 + 0*y**3 + 4*y**3 + 3*y**3 + 1. Calculate f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -24. Let r be 0*2*1\/(-4). Suppose -3 = 3*l + 3*p + 2*p, -4*p - 12 = r. Is n not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115 + 441 + 48)*(2*v**4 - 2*v**4 - v**4).\nAnswer: -374*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 10*l - 288. What is the third derivative of -l*r + 96*r + 5*r**5 - 2*r**2 wrt r?\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/22 + 0)*-1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from {q: 4, z: 14}.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/15 + (1025024\/120)\/(-16). Let f = p + 533. Sort -2\/3, f, 1\/4, 2\/9 in descending order.\nAnswer: 1\/4, 2\/9, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 6 = 126. Suppose -4*d - 5*j - 104 = -5*d, -h*j = -4*d + 352. What is the lowest common multiple of d and 30?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*(sqrt(200) - (sqrt(200)*-1 - sqrt(200))) - (-2*sqrt(200) + sqrt(200))*-1)**2 - (2 + sqrt(200)*1 - (4 + sqrt(200) + 1)))*1.\nAnswer: 9803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {l: 6, z: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 11*c**2 + 8*c**2 - 4*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 15314310.8 to the nearest one hundred thousand.\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.85*-4.\nAnswer: -63.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 289. Determine d(47).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.4 - -8. Let y be 1\/(-2)*(-8)\/22. Put 0.5, y, o in increasing order.\nAnswer: o, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/1637, -1, 3, -2\/5, 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 + 24*r + 1. Let a be g(8). Suppose -z - u = -0*z + a, -15 = -3*u. What is the nearest to -1 in z, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s = 0. Suppose s = o + 15 - 0. Let p be 2\/(-5)*o\/54. Which is the second biggest value? (a) 0.2 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 4483\/1321?\nAnswer: 4483\/1321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18357719*v**5 + 15766214*v**2?\nAnswer: 1101463140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.85 + 3. What is the smallest value in d, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11.0441*323\nAnswer: -3567.2443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3625*g + 10871. Let l be o(-3). Let w = 2 + -1.5. Let v = w - 1. Sort -2, l, -0.3, v.\nAnswer: l, -2, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 42.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*i = -14. Let m(x) = -i*x - 6*x + 94 - 85. Let y(c) = -7*c + 5. Determine 6*m(o) - 11*y(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*p**3 - 6*p**3 - 14*p**3.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 2*o + 2. Let l be h(0). Suppose 0 = -2*v + l, -24 = -5*b - 5*v + 26. Let i be b\/(-8)*(-28)\/(-21). Are i and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - -141. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 15 = -5*c. Let h = 8 - c. Suppose 0 = -3*v + 62 + 34. What is the remainder when v is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.3 + 1.3. Let n = j + 6.4. Sort -0.04, 4, n in descending order.\nAnswer: 4, n, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395560 divided by -2.\nAnswer: 197780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31225 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -313\/247 + 27\/19. Let g = -6786\/41 - -54165\/328. What is the smallest value in g, x, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.034 + -0.966. Let q = r - -1.3. Let g(k) = -k - 3. Let w be g(-7). What is the smallest value in -3\/7, w, q?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000090062 rounded to 7 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7932 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**3 - 6*o**2 + 61*o + 3. Give c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2751 rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -134 + 8. Let h be (90\/36)\/(3*(-3)\/m). Suppose -3*f = f + u - 218, 3*f - 163 = -u. What is the greatest common factor of f and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083 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: What is the smallest common multiple of 2338 and 1670?\nAnswer: 11690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11461104 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 8614194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/1685813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565*y = 560*y + 55. Suppose y = -6*z + 5*z - h, -4*h = 5*z + 59. Put z, 12, 1 in decreasing order.\nAnswer: 12, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 + 219. Let g = f - 46. Let p = g - 36.000023. What is p rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 27 = 4*c, -i = 4*c + 27 - 4. Let j be 2 + 4\/c*-6. Solve b = -b + j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 2. Suppose -41 = n*a - 158. Let u = a + -24. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 2897390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*j + 2, -2 = -a - 3*j. Suppose -p = -0*p - a. Calculate the remainder when 42 is divided by 20 - -1 - p - -3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001078502523 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxxxxxxxxxxkxxxxx?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(153) + 1)**2 - (sqrt(68)*-2)\/sqrt(4)) + -5.\nAnswer: 8*sqrt(17) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - i - 6 + 8 - 7*i)*(-i + 11*i - 23*i) as g + h*i + w*i**2 and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 163 = 73*n - 80*n, 8*n - 32 = 0 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(32) + sqrt(98) + (sqrt(98) - (2 + sqrt(98))**2) + -3.\nAnswer: -105 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - 2*a**2 - 2*a - 2. Let r be s(-2). Suppose 4 = 5*c - y - 21, -2*y = -r. Calculate the greatest common divisor of c and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b*i*n**2 - 11189*b*i*n*p + b*i*n - 2098*b*n**3*p - b*n*p - 2*i*n**2*p - 2*p wrt n.\nAnswer: -10*b*i - 12588*b*n*p - 4*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*a - 17*a + 8*a + 225 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(1900))*3 - (sqrt(1900) + 1)*4) + 5*(2 + -1 + sqrt(1900) - sqrt(1900) - sqrt(1900)))*4 + -3)**2.\nAnswer: 5280*sqrt(19) + 1094521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/15 + y**4\/8 - 5*y**3\/6 + y**2. Let r(z) = -2*z**2 - z + 2. Suppose -m = -8 + 3. Give m*r(u) + 2*h(u).\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1453*q**4 + 10*q + 85607 wrt q.\nAnswer: 5812*q**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 3*y**3)*(-8*y - 3*y - 1 + 10*y)*(11 - 11 - 5*y).\nAnswer: 15*y**5 + 15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + p = 24, -3*z - 2*z - 120 = -3*p. Let q = 28 + z. Suppose 0*r + q*r = 108. Calculate the greatest common divisor of 135 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/70394 and 79\/8.\nAnswer: 281576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142009 is divided by 284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -335.11 + 332. Let o = -0.11 - z. Sort 5, -4, o.\nAnswer: -4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 6 = 5*y, 0 = -y - 6*v + 4*v - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(2\/7)\/w)\/w)*w**(-5))\/(w\/(w\/w**(-1)))**(-10\/19))\/((w**(-6)\/w)\/(w*w**(3\/5)))**(-1\/80) assuming w is positive.\nAnswer: w**(-155319\/53200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 136\/10 + 2\/5. Let q(w) = -w**3 - 18*w - 45. Let t be q(-2). Let v be -4*t\/k*5\/(-10). What is the smallest value in 1\/7, -3, 0.4, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 3. Suppose 3*z = -3*k - 12, 2 = -2*z - 3*k - 6. Let q(y) = -y - 3. Determine z*q(i) - 3*t(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, u: 1, h: 2, n: 1, w: 1}. What is prob of picking 1 h and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 168177, 336186, 504195, 672204?\n\"Answer: 168009*h + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/7 + 36*h\/7 + 80\/7.\nAnswer: 4*(h + 4)*(h + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - 5 - (57 + -80).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4 + 4*y - 2 + (1 - 3 + 1)*(-2*y + 0*y + y) + 9 - 9 + 8*y.\nAnswer: 13*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -306 + 310. Which is the closest to 0? (a) 0 (b) v (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2328*m - 8. Does 40 divide k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 23 - 32 - 22 + 83 - 255*l.\nAnswer: -255*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by (-3 + (-50)\/(-8))*12?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from llllllxxlll.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 718.6865 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/(2\/(-9)). Suppose -h = 4, -s*h = 3*f - 2*f + 10. Is 0 + -1 + f + 25 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + s + 4*s + 60, 4*o - 4*s - 160 = 0. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -152*h + 3. Let t(g) = -52*g + 1. Let q(i) = 6*s(i) - 17*t(i). What is q(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4073*h - 3386*h + 5496 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 11*b - 36827. Calculate h(109).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 12, -111 in decreasing order.\nAnswer: 12, -2, -3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*n - x, -2*x = 5*n - 6*x + 35. Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -299 + 27*i + 153 + 146 in the form o + f*i and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -56.98744. What is b rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5068292224 - -5068292190.99999951. Let s = -33 - z. Round s to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14028, 14124, 14220, 14316, 14412, 14508?\n\"Answer: 96*d + 13932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f + 38. Let i be w(6). Let m(n) = -17*n - 46*n - i*n. Let g(y) = -3*y**2. Determine m(g(z)).\nAnswer: 213*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -225230*q*v - 270834*q + v**2 wrt v.\nAnswer: -225230*q + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**3 - 5*y**3 + 2*y**3)*((-2*y - 6*y + 2*y)*(6 - 1 + 0) + (-2 + 2 + y)*(-2 + 1 + 3)) as q*y**4 + s*y**2 + d*y**3 + o*y + z and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (918*d**3 - 2*d - 1247*d**3 + 0*d)*(-2*d + 2*d + 2*d) + (0*d - 4*d + 3*d)*(-3*d**3 + 5*d**3 + d**3).\nAnswer: -661*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 696 by -4.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 27*g**2. Let c(m) = -9*m**2 - 7*m - 7. Let f(a) = -5*a**2 - 4*a - 4. Let h(y) = 4*c(y) - 7*f(y). Calculate u(h(k)).\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t - 5. Give i(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5015480975 to the nearest integer?\nAnswer: 70820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -43) + (-5 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -184.3 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16960938.\nAnswer: 2, 3, 563, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25254*k - 19627*k - 2 + 59418*k - 20963*k)*(-k**3 - k**3 + 0*k**3).\nAnswer: 12852*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1115*n - 915*n + 634*n + (3 + 3 - 5)*(2*n + 0 + 0) as k + f*n and give f.\nAnswer: -1394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 22. What are the prime factors of 0 - q\/(-2) - -20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4528*s + 130. List the prime factors of k(4).\nAnswer: 2, 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 611, 700, 789, 878?\n\"Answer: 89*g + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4979178 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -817061 + 817061 + 2*o**2. Let q(z) be the first derivative of 39*z**3 + 7. Give q(g(b)).\nAnswer: 468*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*x + 6. Let c(f) = 230*f**2 + 55*f - 10. Let t(n) = -n**2 - n - 1. Let d(j) = x*c(j) + 15*t(j). What is p in d(p) = 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-67 - 73 - -184).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8 - 111*i**3 - 4*i + 0 - 4.\nAnswer: -111*i**3 - 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75177497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 + -824\/7. What is the third biggest value in -5, o, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1539))*-4.\nAnswer: -36*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**6*d*d)*d\/d**(-2\/15) assuming d is positive.\nAnswer: d**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 1407*c**5\/5 + 945*c**2\/2 + 2447. Find the second derivative of y(v) wrt v.\nAnswer: 16884*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59 + 17 + 43*p + 24*p + 5*p wrt p?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n + 3. Let p be ((-164)\/123)\/((-6)\/9). Let c(o) = 1. Calculate p*c(h) - z(h).\nAnswer: 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006717 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 981.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 - m + 5. Let k = 29 + -26. Let q be i(k). Let j = q - 27. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552442, 552424, 552400, 552370, 552334, 552292?\nAnswer: 552244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 25\/4 + 1\/4*f**2 + 5\/2*f = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: c220 (base 16) to base 14\nAnswer: 1417a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-19)\/h*h*h**(-43)\/h*h)\/((h\/((h\/h**5)\/h))\/h*h**(-9\/11)) assuming h is positive.\nAnswer: h**(-728\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(((-4)\/6)\/((-156)\/(-117)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 17\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/44 and 23\/13197767?\nAnswer: 52791068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4 - 5 + 3 + b**2 + 3. Let q = -1462 + 1468. What is the units digit of r(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2437220104.\nAnswer: 2, 11, 503, 55061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67533675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = x + 229, 5*j + 3*x - 169 = 236. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 take away -546362?\nAnswer: 546361.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(300\/(-9))*(-1304)\/1956.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-2)\/(-8)*-2). Let q(v) = -v**3 - 4*v**2 - 10*v - 3. Calculate the remainder when q(w) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -13379, -371.1 in ascending order.\nAnswer: -13379, -371.1, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18\/13 - -280\/221. Let k(z) = -z**3 - 4*z**2 - z + 3. Let h be k(-3). Which is the third smallest value? (a) j (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001111111001 (base 2) to base 7\nAnswer: 35564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*y*z**6 - 7*y*z**3 - 3*y*z**2 - 69*y wrt z.\nAnswer: -1920*y*z**3 - 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58543.\nAnswer: 58543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2 + 4. Suppose g = -o*g. Solve g*z = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 1. Let a = j - -30.4. Let m = a - -8.36. What is m rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101031 (base 5) to base 10.\nAnswer: -34516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1475*c**2 + 45*c + 1021. Let r(y) = -369*y**2 - 11*y - 255. Let d(p) = -9*r(p) - 2*x(p). Find the second derivative of d(l) wrt l.\nAnswer: 742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, j: 1}. What is prob of sequence oj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544248.\nAnswer: 2, 3, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 22*w - 9881 - 4465. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*d = -507538 + 513438 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 6*t - 9. Let b be j(-4). Let r(v) = v - 1. Determine r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q**3 - q**3 - 3*q**3)*(-3 + 5 - 5) + q**3 - q**2 + q**2 - 393*q**3 + 163*q**3 + 93*q**3 in the form g*q**2 + i*q + x*q**3 + s and give x.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5 - 3 - -2) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 2*z - 4*t, -4*z + 5*t + 1248 = 1306 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 + 0 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 2192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -37 + m**3 + 109 - 41 - 15*m - 36 + 10*m**2 - 2*m**3. Determine f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020406 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 8*w**2 + 10*w + 3. Give m(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*24\/30)\/2*(-129330)\/(-479)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -1 + (0 - 3\/3). Solve 4*u = -g*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 9750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6943539+-17627\nAnswer: 6925912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 + 3*l**3 - 4*l**2 + 0 - 4 + 3*l**2 to h + z*l**2 + n*l**3 + p*l and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*u = 7 + 28, -3*v + 4*u = -41. What is the third derivative of -v*y**3 - 17*y**5 + 2*y**2 + 15*y**3 + 2*y**2 wrt y?\nAnswer: -1020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*g - 3*g = -21*g - 2365 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18440861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -29, -70, -137, -236, -373, -554?\n\"Answer: -f**3 - 4*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*n = -77, 2*r - 13*n + 16*n - 50 = 0. Factor 4*v**2 - 132*v - r*v**3 + 252 - 20*v**3 - 17*v**3 + 60*v**3 + 0*v**2.\nAnswer: 4*(v - 3)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/135 + (-1)\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -5, 4, -2 in increasing order.\nAnswer: -7, -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 928166085 a multiple of 1309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 4*u - 5*u + (4 - 2 - 3)*(-u + 2*u + 0*u) + 2*u - 2*u - 5*u to b*u + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**4 + 175*l**3 - 8240*l**2 + 8060*l = 0?\nAnswer: -62, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -6*k**2 + 3\/5*k**5 + 0*k**4 - 10*k + 0*k**3 + 0. Differentiate p(b) with respect to b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*w + 1, -3*k + 0*k + 2*w + 9 = 0. Suppose 0 = -2*s + k*u + 77 + 79, 2*s - 176 = -5*u. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 17, o: 3}. Give prob of sequence ooqq.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(sqrt(66)*1 + sqrt(66)))\/(((1*sqrt(72) + sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(3)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -17*p**2\/2 + 33*p - 88. Let a be n(0). What is the highest common divisor of 33 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/40*16\/6. Solve 0*a - r = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 26*o - 77. Give n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18334 (base 9) to base 15.\nAnswer: -3b47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1413418, -2826474, -4239530, -5652586, -7065642?\nAnswer: -8478698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**3\/3 - 51. Let c(n) be the third derivative of 5*n**2 + 0 + 0*n**4 + 1\/30*n**5 + 0*n**3 + 0*n. Determine l(c(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**40*s)\/(s*s*(s**(-39)*s)\/s*s))**(35\/2) assuming s is positive.\nAnswer: s**1365","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/12 and -95\/74.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 0*c - 2*c)*(-c**3 - 3*c**3 + 2*c**3) + 0*c**4 - 2*c**4 + c**4 + 2*c**4 - c**4 + 0*c**4 - 143 + 22*c**2 + 5*c**4 + 143.\nAnswer: -c**4 + 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 6441406663*k - 6441406663*k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -1*(4\/4 + -2). Let o(h) be the second derivative of h**4\/3 - h**3\/6 + h**2 - h. Does 7 divide o(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(136) + sqrt(136))*-1 - (-2*sqrt(136) + sqrt(136))*1)\/(sqrt(392)*-1*2 + sqrt(392)))**2.\nAnswer: 68\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**8\/84 - 2*w**7\/35 + w**6\/10 - w**5\/15 - w**2. Factor h(u).\nAnswer: 4*u**2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*15\/18*8. Let m = -33 - t. Let f = -24.5 + 25. What is the third biggest value in f, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 3810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 47125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2100 and 14340.\nAnswer: 501900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61332 and 134961066.\nAnswer: 269922132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 125 + 198 = -5*b + a - 171, 23*a = -4*b - 437 for b.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 3, -14, 0, -5 in ascending order.\nAnswer: -14, -5, 0, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 462, 3187, 10362, 24141, 46678?\n\"Answer: 359*o**3 + 71*o**2 - o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81587808 divided by -6.\nAnswer: 13597968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eolqqeolpqlpoqqoqqp. Give prob of sequence lqlo.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 12:37 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7990 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4283 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -415\/7 - -59. Is x bigger than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 11*r = 288. Suppose -p + 17 = -r. What is the remainder when 260 is divided by p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 10. Let o = -256 - -1789\/7. Which is the smallest value? (a) o (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11878, 11942, 12006, 12070, 12134?\nAnswer: 12198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**3 + c**2. Let f be s(-1). Solve 2*g + g - f*q = -32, -5*g + 2*q - 28 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936*l = -920*l - 57488. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2746.9 - -2747. Sort 0.048, 5, v in descending order.\nAnswer: 5, v, 0.048","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.079779104 to five decimal places.\nAnswer: -0.07978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-86)\/(-20))*(-135)\/567\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 1:10 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -2041*a**7\/42 - a**3\/6 - 17*a**2 + 2*a + 690. Find the second derivative of o(x) wrt x.\nAnswer: -40820*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.031 - 4.631. Let u = d + -0.4. Which is the second biggest value? (a) -2\/13 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2964 divided by 6\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r + 222*r = -54*r - 1908 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from cchqfeehec?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/45 + (-116)\/(-10). Is 200\/(-6)*q\/(-10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -4)\/((-4)\/22). Let s = -16 + g. Let f = 2.02 + -0.02. Sort s, 0.4, f.\nAnswer: s, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000084231369 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 0*v**5 + 0*v + 19\/2*v**2 - 18 + 0*v**3 + 0*v**4 + 10\/3*v**6. What is the second derivative of s(d) wrt d?\nAnswer: 400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760224488.\nAnswer: 2, 1259, 75479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1089 + -49?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(3 + sqrt(1008))**2*-2 - (sqrt(1008) + -3 + sqrt(1008) + 1 + -2 + -1)**2.\nAnswer: -40669 - 2352*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1 + 15\/3. Let w be (-150)\/c*(-4)\/3. Suppose -i + 0*h + w = 5*h, 3*h + 60 = 3*i. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-13 + 8 + 10 + 6 - -58)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*k - k = -20, 4*k - 4 = -x. Suppose -5*y - 13 = 2*v, x = -y + 5*v - 4. Let g = y - -8. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 - x - 1. Let y be n(3). Let k = 15 - 13. Suppose 4*f + 6 = 5*l - y, -k*l + f + 5 = 0. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2152272955 + 2152272955 - 32*m.\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15371 and 0.168.\nAnswer: -2582.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51.4 - 120.5. Let g = -72 - l. Does g = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 1678795691786.\nAnswer: 1678795691786.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -37.99\nAnswer: -1329.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 - -136. Let g = 0.9 - -4.1. Sort p, 0.05, -1, g in decreasing order.\nAnswer: g, p, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372 smaller than 1371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/81991 and -63\/3604?\nAnswer: 327964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 10*j - 3. Let i(y) = 3*y**2 - 9*y - 2. Let m(g) = 5*i(g) - 4*r(g). Let o be m(-5). Suppose -2*w + o = -0*w. Is 2\/5 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 28 + 10 = 0. Suppose -7 - 74 = -y - 5*r, p*r = 3*y - 297. Suppose 9*f = 10*f - y. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9 and ((-92)\/1216)\/23*30.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -184*m**4 - 2*m**3 - 8*m**2 + 28227 wrt m.\nAnswer: -736*m**3 - 6*m**2 - 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 909*h**2 - 5*h - 287*h**4 - 410*h**2 - 711*h**2 wrt h?\nAnswer: -6888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-8)\/(-756)*-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 1\/6 (c) 3\/7 (d) -720 (e) 4\/3 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, n: 1, d: 3, f: 2, p: 2}. What is prob of sequence ffnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32165243017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83309735?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 519 and 46499113?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v, 0*u - 3*u = -2*v + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22254*c - 8492 with respect to c.\nAnswer: -22254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2913508 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:22 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 2*m - 19. Let b be 8\/(-48) + m\/6. Suppose -9 = -2*n + b. Solve -3*j - n + 34 = -3*h, -5*h = 4*j + 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/24 and (-8874)\/41120 + 0 - ((-145)\/(-25) - 6).\nAnswer: 12336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 117, 234, 347, 456, 561, 662, 759?\n\"Answer: -2*s**2 + 123*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g + 95. Give x(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, a: 12}. What is prob of sequence gaag?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 550360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(15120\/(-1863)) - (-4)\/(-14). Factor 3\/10*c**2 + s*c + 1\/5.\nAnswer: (c + 2)*(3*c + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 246225, 246290, 246355, 246420, 246485?\n\"Answer: 65*w + 246160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3243725 rounded to the nearest 10000?\nAnswer: -3240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -143.6924\nAnswer: -1005.8468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61 - 0?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40794 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-3 - 1) + 1. Let o = b + 14. Is (o\/12)\/((-1)\/(-83)) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - (37 - 32)) + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 + 132. What is the biggest value in 0.5, -1, -3, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -4*l + 6, -13*h + 521*l - 48 = 518*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 8*b**2 - 12*b - 13. Let s be g(5). Suppose -3*q = 4*o - 25, 0 = -s*q - 4*o - 10 + 32. Sort -4, -2, q in decreasing order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 18\/(-11)*(-17)\/(-34)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51.47 + -52. Let x = o + 0.43. Which is the nearest to -1? (a) 4\/7 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o - 6*o**2 + 2*o**3 + 6*o**2 + (-2*o + 5*o - o)*(3*o**2 + 2*o**2 - 3*o**2).\nAnswer: 6*o**3 - 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + 7)\/((-6)\/6). Let u(h) be the second derivative of h**4\/12 + 5*h**3\/3 - 9*h**2\/2 - 4*h. Let b be u(g). Which is smaller: 5\/7 or b?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235.6*-22069.\nAnswer: -5199456.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k**4 + k + (-k - 5*k + 3*k)*(-2 + 1 + 0)*(-k**3 - 1 + 1).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 5*t**2 + 8*t - 1. Calculate m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -6. Let l = 13 + p. Is ((-12)\/9)\/(l\/(-96)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12988*k*w**2 - 2*k*w - 25132*k + 467*w**2 - 41*w wrt w.\nAnswer: -25976*k + 934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3 - h**2 - 5 + 8*h + 5. Let v(s) = -36*s. Calculate the remainder when v(-1) is divided by k(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -236*x + 14620. Determine d(62).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**4\/24 + 7*i**3\/6 - 3*i**2. Let z be p(-5). Suppose 2*d - 106 = 4*c, -4*d + 0*d + 242 = z*c. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287913732 to the power of 1\/2, to the nearest integer?\nAnswer: 16968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6954500 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3965, 7927, 11891, 15857, 19825?\nAnswer: 23795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + 98 + (-10 - 2) - 7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31477 is divided by 281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39480 and 260393160.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 14) to base 12.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17975562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w. Let j(s) be the first derivative of 1 - 3\/2*s**2 + 0*s. What is r(j(k))?\nAnswer: -27*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.003 times -1.61\nAnswer: 0.00483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1540564*h + 0 - 1540596*h + 3081137*h - 5.\nAnswer: -23*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.053778376 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 - 4*m**2 - m. Suppose -6*x = -x - 10. Let p(o) = o**3 + 0*o**3 + o**x + 0*o**2 + 0*o**3. Give l(t) + p(t).\nAnswer: -2*t**3 - 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1031.71 and 3.\nAnswer: -3095.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let w(o) be the first derivative of 0*o**2 + 0*o - 1\/3*o**3 - 2. Determine u(w(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llyhlylhy. Give prob of sequence yl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = 5*o + 107, -3*j - 39 = 2*o. Let v = -18 - o. 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 the biggest value in -0.033, -0.0451, -21\/47, -1\/4?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43302 - 42420 = 126*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 2, -5, 0.1, -3\/14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3219 + 3222. Let t(r) = -4*r - 4. Let i be t(-6). Let a = i - 4. Solve -g*f - a = -7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + y**2 + 0*y**2)*((2*y + y - 5*y)*(-y - y + 4*y) - 2*y**2 + 3 - 3 + (y**2 + 0*y**2 + 0*y**2)*(2 - 1 + 0)).\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 10 + 3*n)*(0*n + 2*n + 0*n).\nAnswer: 6*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = 3*k - 7, -k = 1. Let i(d) = 2*d**2 - 6*d - 4. Let n(s) = 2*s**2 - 5*s + 3. What is the remainder when n(6) is divided by i(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7102, -228, 11 in ascending order.\nAnswer: -228, 11, 7102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 14. Suppose 4*c - 3*k = -42, -3*c + 56 = -7*c - 4*k. Calculate r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 12*l**2 - 34*l - 11. Give i(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15070 + 15030. What is the third smallest value in q, -2\/7, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d, -4*z + d + 15 = -7*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 77 = 17*h. Which is the fourth biggest value? (a) h (b) -1 (c) 0.4 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/2 + 5*p**4 + 29*p**3\/2 - 2*p**2 - 66*p - 72 = 0. What is p?\nAnswer: -4, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2*p - 16, -2*p = -36*t + 31*t - 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -9.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141\/164 - 9\/82. Which is the closest to -0.1? (a) -0.2 (b) 717 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/22 (b) 3 (c) -0.3 (d) 8\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -1724565892.\nAnswer: -1724565891.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*52 + (-836 - -893)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x - 4. Let k be p(-10). Suppose k = 3*q - 51. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.017 - -1.017. What is the closest to 5 in 28, -1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 218950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 10, -3*b + 13*x = 12*x - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {c: 1, t: 7, o: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1269 - 17?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/151131 and 51\/2?\nAnswer: 302262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 15) + 25 + -3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (261\/(-3045))\/((24\/80)\/1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n - 5. Let r be 2\/(-5) + 64\/10. Let j(y) = -y + 7 - 3*y - 3. Let z = 26 - 21. Give r*j(t) + z*m(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o - 1. Suppose 7*m - 18 = 4*m. Suppose m*b - 50 = b. Suppose -5*t - 4*z = -21, -3*t - b = -4*z + 3. Give n(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -745\/2 + 1973\/6. Let w = h - -43. What is the closest to w in -1, -2\/3, 2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -336*y + 945 - 492 + 1563 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**4\/24 + 74*d**2 + 6*d. Let r(f) = f**2 + 218*f. Calculate w(r(b)).\nAnswer: -b**2 - 218*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -55. What is the units digit of g*10 - (2 - (0 + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -3*m + 4*s - 42, 98 = -5*m + 2*s. Let t = m + 28. Are t and 12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + (-4*(sqrt(833) + 2 + sqrt(833)) - sqrt(833)) + sqrt(833) + sqrt(833) - 2*sqrt(2448)*2)**2.\nAnswer: 1440*sqrt(17) + 137764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, 0.1, -1 in descending order.\nAnswer: 4, 0.1, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158*j**2 - 2*j**5 + 498*j**2 - 188*j**3 - 46*j**4 + 348*j**2 + 338 + 172*j**2 - 962*j.\nAnswer: -2*(j - 1)**3*(j + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 104\/3, -13, -1\/4, 2\/11, 0.1, 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-1)\/(6\/(-2))). What is the first derivative of -48*r**2 + 9*r**2 + 16 + 8*r**2 + 20*r**j wrt r?\nAnswer: -22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 3*f**3 - 70 + 207 - 72.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 2*r**2 + r - 2. Let w be a(-4). Let u = 17 + w. What is the tens digit of u\/2 + (-4)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-192)\/(-10) + (-270)\/(-900). Let u(f) be the first derivative of -20 + z*f**2 + 0*f. Let i(y) = -y**2. What is i(u(b))?\nAnswer: -1521*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**3 + 2*h**3 + 2*h**3)*(-3*h + 3*h + h**2) + 134*h**5 - 96*h - 97*h + 194*h.\nAnswer: 132*h**5 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 10*w - 11. Let z be h(-8). Let v = z - 22. Suppose -v = -2*p - p. Solve -4*f + g = -p + 12, 0 = -3*f - 2*g - 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 373 = -2*o - 3*o, 0 = 3*o - u - 215. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27484 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*k + 16 = 96*k. Solve 5*d + 3*v = -5, 3*d + d - k*v + 36 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/(-3))\/(4\/(-1308))?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27\/8005 + 568517\/48030. Let f = 12 + -1. Which is bigger: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473545221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 = 5*o, 4*o - 2*w + 5 = 3*o. Let a = 1 - -0.9. Let z = 6.9 - a. What is the third biggest value in z, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3261 + 2059. Does -1202 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4 + 23\/2. Let w(v) = -v + 6*v**2 - v - 3 + r - v**3. What is w(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 5*c**2 - 19*c - 42. Determine p(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 21*p + 20. Let l be ((-2)\/p)\/(5\/100). Is l < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, a: 6}. What is prob of sequence haah?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(6) + sqrt(726)*-2 + sqrt(384)*2)\/((sqrt(12)*1 + sqrt(3))*-6))*-3)**2.\nAnswer: 10*sqrt(2) + 673\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002146 to 5 dps.\nAnswer: 0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*q - 4. Suppose 9*o - 5*o = q. What is the derivative of -o - 5*s**2 + s**4 + 5*s**2 wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 4*w + 16, w + 1 = -t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 17*p - 22*p**2 - 8 + 21*p**2 - 8*p. Let z be j(7). Solve -2*y + 2*m - 14 = -0*y, 2*m = -2*y - z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 182823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 474*v**3 - v**2 + 2*v - 4. Does 11 divide y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 50098.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*s**2 - 1803*s**3 + 154*s**2 - 86*s**2.\nAnswer: -1803*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -6, -2, 7 in descending order.\nAnswer: 17, 7, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15309 and 399735.\nAnswer: 3597615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 20081434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6114961113?\nAnswer: 3, 41, 49715131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -i + 39. Let x = i - 19. Solve x*f = -36 + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -29*r - 107 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-21 - -33 - -4)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1197 and 57722?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1092, 1140, 1216, 1320, 1452?\nAnswer: 1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 495 + -473. Calculate the remainder when 172 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 218\/12 - (-7 + 18\/6) and 37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(72) + (sqrt(72) - (sqrt(72)*-3 + sqrt(72)))).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (9 - (1 - -9))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 90 (b) 8320 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 345365271 a multiple of 1149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4170*l - 834. Let x(u) = -378*u - 76. Let r(n) = 6*p(n) - 68*x(n). Differentiate r(f) wrt f.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = -30*y - 40*y + 39*y. Let m = -13.12 - -0.12. Which is the third smallest value? (a) 0.5 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5 + 18832\/(-12))\/(55\/(-990))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 17.52254949198.\nAnswer: -17.92254949198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1681284 is divided by 27116?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - -5) + 59 + -173 + -3 - -10) + 6.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4 = -3*t - 0*t, 0 = 2*t + 4*v - 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 10. Let g be v(11). Let m = 3 + g. What is the remainder when 14 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c + 1a?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1824)\/(-120))\/(0 + (-4)\/(-10)). What is the greatest common divisor of 152 and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 56 + 117 - 173 - 17*k + 3*k. Let j(v) = 7*v - 10. Give n(j(y)).\nAnswer: -98*y + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 2601783563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 5519076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 11*d + 0 - 3\/2*d**2 - 5\/6*d**3. What is the tens digit of v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 19*v - 2*v**3 + 4*v - 20*v.\nAnswer: -2*v**3 - 30*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, w: 2, q: 2, v: 1, r: 6, d: 2}. Give prob of picking 2 q, 1 w, and 1 v.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -226, -0.3, 26?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -0.38 in descending order.\nAnswer: 5, -0.38, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-1)\/(-4)*-20. Let g = -88 - -124. Let z = g + b. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3725 - -6235. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -412 and -0.2.\nAnswer: 82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 306, 905, 1830, 3081?\n\"Answer: 163*v**2 + 110*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -4 (c) -2\/15 (d) -0.0568 (e) 4\/2889\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0250174 to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = 4*d, 0*p - 4 = -3*p - d. Let f(s) = -2*s - 7. What is the remainder when f(-6) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 85 - 14*h + 102 - 293.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/(-28))\/((-640)\/(-256)))\/((-152)\/(-252)*-3).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(180) + 0)**2 + 3 - (((-2*sqrt(90) + sqrt(90) - sqrt(90))\/sqrt(6))\/(sqrt(72)\/sqrt(6)))**2.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1087, 2136, 3145, 4108, 5019, 5872, 6661, 7380?\n\"Answer: -f**3 - 14*f**2 + 1098*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*v - 134*v = -208. Solve 32*h - v + 58 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151 - -155. Which is the second smallest value? (a) 0.27 (b) 2 (c) 3\/2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -226821 * 482\nAnswer: -109327722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32539777.\nAnswer: 43, 756739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19658.1 + 19658. What is the closest to h in -0.4, -44, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 12 + 2)*((4*v**3 + 0*v**3 - 5*v**3)*(0 + 1 + 1)*(-11*v + v - 31*v) - v**2 + 3*v**4 + v**2) to q*v**3 + g + n*v**4 + h*v**2 + j*v and give n.\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (5 + 2*sqrt(325)))**2 + (4*sqrt(91)*-2 + sqrt(91))\/sqrt(7).\nAnswer: 43*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = 5*c - 5, -17*y - 2 = -2*c - 18*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.51363 and -0.3.\nAnswer: 0.454089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*u - 129*u = 140 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 518\/(-63) - (-3 + 0). Sort x, 10, 0.05 in descending order.\nAnswer: 10, 0.05, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**3 - 310953*h**2 - 8073637560*h - 828289046484 = 0?\nAnswer: -51774, -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2\/5 + 101960181*d\/5 + 101960178\/5 = 0.\nAnswer: -33986726, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 202*v + 1016. What are the prime factors of d(17)?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 258*68\/153 + (-4)\/(-3). Which is greater: n or 1151\/10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -4, 56, 2 in ascending order.\nAnswer: -5, -4, 0, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 404?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -11. Let v be j + 3 + 3 + -2. Factor v*g**3 - 1\/4*g**4 + 1\/2*g**2 - 1\/4 + 0*g.\nAnswer: -(g - 1)**2*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175237\/30 - -5838. What is the common denominator of -187\/180 and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -1260*a + 1262*a - 7, 2*m - 14*a + 34 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -53, -103, -155, -203, -241, -263?\n\"Answer: s**3 - 10*s**2 - 19*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 367*w + 107*w + 67*w to the form j + y*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 5:32 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htjn when four letters picked without replacement from jjjnhjtn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 12. Let z = 7 + -13. Let q = z + 1. Sort w, q, -2\/7.\nAnswer: q, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1148.687744 + 27.283106. Let m = n - 1176. Let p = -0.016 - m. Round p to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6234*s**2. Let t(m) = -m**2. Give a(t(r)).\nAnswer: 6234*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/(-3) - -1)*-3. Let y(z) = -z**3 + 6*z**2 - 5*z + 2. Let h be y(5). Suppose 3*g - h*g - 16 = 4*o, -2*o - q = g. Solve g*p - 3 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**4\/8 + h**3\/2 - h**2 + 4. Let r be z(0). Solve r = -5*a + 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -402729 - 17\nAnswer: -402746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 30 = -j, -5*j = -j + 3*u - 28. Suppose c = 4, -c = -2*w - 2*c + j. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -2*a**5\/25 + 38*a**3\/15 + 6*a**2 + 9288. Factor i(o).\nAnswer: -2*o*(o - 5)*(o + 2)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22635, -4, -561 in descending order.\nAnswer: -4, -561, -22635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211 - 419. Suppose -797*b = 2*g - 798*b + 417, 833 = -4*g + 3*b. Is m != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*a + 10, a - 24 = -4*j + 23. Suppose j = 10*k - 109. What is the smallest value in k, -2\/7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 63. Let j be ((-2)\/21)\/(27\/(-105)*-5). Is j equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzr when three letters picked without replacement from {z: 6, s: 3, r: 8}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21870965 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011001010 - 101010010111100000?\nAnswer: -101010111010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 3065051243504.\nAnswer: 3065051243505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 5 (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5684687821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11125*d**3 + 5*d**2 - 15*d**2 + 10*d**2.\nAnswer: -11125*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*j**3*u**2 + 524*j**3 - 54*j**2 + 4*u**2 - 3*u wrt j.\nAnswer: -102*u**2 + 3144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*k, 3*m - 7*k + 233 = -m + 215 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -21?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of ((-999)\/18)\/(-1 + (-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - c**3 - 16*c**4 - 6*c + 14*c**4 - 1 to l*c**4 + n*c**3 + g*c + f + w*c**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v**2 - 1. Let h be l(0). Let k be (-1 - -3) + (-2)\/h. Let g(y) = -1370*y - 6836. Let i be g(-5). Put i, -2, k in descending order.\nAnswer: i, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1880*m - 3756. Let k be g(-2). Let b(y) be the first derivative of 0*y + 1\/4*y**k + 0*y**2 - y**3 - 24. What is b(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5\/q)\/q**(-4)*q\/(q\/(q\/(q\/((q\/((q**(-5)*q*q)\/q))\/q))))*q*q**(-6)\/q assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 69*u - 4. Let q(y) = 15*y**2 - 552*y + 31. Let l(s) = -46*m(s) - 6*q(s). Let d(i) = -2*i. Determine l(d(r)).\nAnswer: 8*r**2 - 276*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i**3 - 8*i + 8. Let d(g) = g**3 - g + 1. Determine 24*d(f) - 3*x(f).\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2977236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477234, -954451, -1431668, -1908885, -2386102, -2863319?\nAnswer: -3340536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w + w**2 + 4*w**2 - 3*w**2 - 144*w.\nAnswer: 2*w**2 - 178*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 2, k: 4, r: 3, w: 2}. What is prob of picking 1 r and 1 p?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 + -185. Suppose 3*w + 37 + 25 = 2*b, w = -4*b + 138. Calculate the remainder when s is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 2*m**4 - 5*m**3 + 3*m**2 + m + 4*m**3 as z*m**4 + g*m**3 + r*m**2 + w + t*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jppjprppppjjz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgfgg. Give prob of picking 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 268\/3*h + 5\/3 - 384*h**2.\nAnswer: -(4*h - 1)*(288*h + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*d**2 + 112*d**2 + 17*d + 2*d**3 + 1 - 16*d to k*d**3 + z*d**2 + u*d + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 + 2. Let i = -14 + 14. Suppose -5*t - 5*j + 0 - 5 = i, -3*j - 9 = 0. Let w(u) = -2*u**2 + 3. Calculate t*w(s) - 3*h(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2. Let b(m) = 52 - 52 - 4*m**2. What is b(f(c))?\nAnswer: -324*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/65 (b) 2\/63 (c) -1\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001673566 to 6 decimal places.\nAnswer: -0.001674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 117355 + 6*s - 117355. Let p(u) = -12*u**2 + 4*u. Give z(p(b)).\nAnswer: -72*b**2 + 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 + 150 = -2*t + 2*u, -u = 5*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-5)*(-4900)\/2940?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47358 divided by 15786\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 15. Let u be 12\/(-15)*(-10)\/4. Suppose u*v - g = 4. Solve -c = -v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*y + 3325 = -49*y. Calculate the highest common divisor of 95 and y.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 7*x - 18. Suppose 3*w - j - 10 = 3*j, 0 = -w - x*j - 10. Let s be 45\/(-9) + (3 - (w - -2)). Let b(p) = -p**3 - 4*p**2 - 2*p - 2. Give b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 9 + 0*r + 6*r)*(-7*r + 2*r - 3*r).\nAnswer: -16*r**2 + 72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = 1. Suppose q + 0 = -4, -5*t + g = q. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32384 divided by -1408\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Let l be 3 + -2 + 6\/2 - 2. Suppose -l*d - 3 = d + 4*r, -4*d + f*r + 18 = 0. Solve -2*w = -d + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a103b (base 14) to base 15\nAnswer: 134021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 2, m: 3, b: 4}. What is prob of picking 1 m and 1 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24801964 is divided by 12400976.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 + 3 = 0. Let x(n) = -3*n**2 + s + 0 + 758*n**3 - 3*n**2 + 175*n - 180*n. Let y be x(3). What is y rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/100*(-7104)\/(-888)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 3 - 1\/(-1). Suppose g*r + r = 25. Suppose 3*t - 5*b = -19, -t + r + 2 = b. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 3:09 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {i: 2, d: 4, x: 3, z: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351 and 819?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126287*o**6 - 17*o**4 - o**3 - 12779443*o**2 - 5*o + 1?\nAnswer: -15154440*o**3 - 408*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6555.57 + 6509.6157. Let d = -0.0457 + z. Which is the third smallest value? (a) 1 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156485 - -155334.41. Round g to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101010100 (base 2) to base 10.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 530343 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c36c + -a?\nAnswer: -9c377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*3\/18*-4. Let p be (20\/25)\/(d\/10). Let r(q) = -3*q + 1. What is the units digit of r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d - 5 + 12 + 9*d + 21*d + 296*d + 375*d + (0 + 2 - 1)*(-2*d - d + d) + 2 + d - 2 as z + s*d and give s.\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*p**5\/9 + 1292*p**4\/9 + 1018*p**3\/9 - 1276*p**2\/9 - 296*p\/9 - 16\/9 = 0 for p.\nAnswer: -1, -2\/19, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 2, a: 2, e: 1, g: 4, o: 2}. Give prob of sequence ae.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7*-70*30\/(-6600)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15)\/(-6)*101\/(-25) and 171\/(-6)*(-4)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 + 2087 = 135*u. What is the greatest common factor of u and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39517 - -1?\nAnswer: 39518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720)*-1 - sqrt(720)*1*2)**2 + (sqrt(720) + (sqrt(720) + sqrt(720) + 2)**2*1 - (sqrt(720)*2 + 5)**2).\nAnswer: -132*sqrt(5) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5\/3 - 189296*x**4 + 7166254370*x**3 - 271244153749892*x**2\/3 - 488396862783873*x - 651264622900572 = 0. Calculate x.\nAnswer: -3, -12\/5, 37861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 5*z - 1\/2*z**2 + 1456\/3*z**3 + 14. Let n be o(5). Round n to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-18)\/(-345))*3. Let f be ((-20)\/8 + 1)\/(3\/(-92)). What is the greatest common divisor of f and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/9 - 526*y**3\/9 + 12536*y**2\/3 - 68920*y + 64800 = 0.\nAnswer: -324, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 5*s. Suppose -s*o + 3 = 1. What is the biggest value in 2, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*x + 35*x + 896. What is the highest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/(-20))\/(1\/2). Sort -6, -1, -5, w in descending order.\nAnswer: -1, w, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 122.26 and 106.5855?\nAnswer: 15.6745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155331, -157870, -160409?\nAnswer: -162948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26822 - 26815.1718. Let o = -214.3638 - m. Let h = o - -222. Round h to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 606*q**2 - 4305*q + 14. Calculate p(-7).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.044 (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/3 - -7) + -2. Suppose v*p + p - 1320 = 0. Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 970*z**2 - 332*z**2 - 298*z**2 - 341*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.8 in -1\/10, -1, 3, -2\/9, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 27600*h - 55200*h + 27612*h in the form j*h + g and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11760*s + 1 - 742*s - 1 - 15798*s.\nAnswer: -28300*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -41?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + 2*y**2)*(-53*y - 11*y**2 + 53*y) + (y**3 + 4*y**3 - 4*y**3)*(-2*y - 2*y + 6*y) - 5*y**4 - 345*y**3 + 345*y**3 + 2*y**4 + y**2 - y**2.\nAnswer: -23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 2.3. Let y = u + 1.5. Let f = -1.3 - -1. Which is the nearest to 2\/3? (a) y (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110\/592*(-6)\/(-9)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*s + 2253, 5*t + 14*s = 15*s + 2790. Let l = t + -553. Solve 6 - 2 = l*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -303 + 765. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27273398 + -27277256.5758. Let p = v - -3861. Let q = p + -2.46. What is q rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*v + i - 23, -4*i = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96888236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 4)\/(9\/(-6)). Suppose -k*f + 4*f = 24. Let s be 76\/f*(-1 + -8). Calculate the greatest common factor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 13, r: 5, j: 2}. Give prob of sequence jrr.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -120, -882, -2942, -6948, -13548, -23390?\n\"Answer: -108*s**3 - s**2 - 3*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 503.\nAnswer: 4024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**4\/12 + 3*z**3\/2 + 2*z**2 - z. Let g be f(-8). Let b = 9 + g. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 1. Let r be (1 - 2)*-2 - 4. Let q be y(r). Let m = 40 - q. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2. Let y(v) = -3*v**2 + 10*v - 10*v + 2*v**2. Determine y(a(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*b = 9*t - 34, -4*b = -3*t + 22. Suppose 400 = -t*g + 7740. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14763124199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 - -64. Let h be 8\/n - 46\/(-14). Is 3*(h + -2)*13 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(((-45)\/50)\/9). Let w = 25 + k. Suppose h - 5*t = 115, -h - w*t = -20 - 45. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -14. Let v be 2\/y + (-22)\/(-4). Suppose -2*k = -7*k - v. Which is bigger: k or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u**3 - 11*u**3 - 3*u**3 + (-4*u + 3*u + 0*u)*(u - 3 + 3 + (1 - 1 + 2)*(4*u - 2*u - u) + (0 - 2 + 0)*(u + 3 - 3))*(2*u + 6 - 6).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -730*y**2. Let q(g) = -122*g. Determine q(s(d)).\nAnswer: 89060*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 796061061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3891.\nAnswer: 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 207059902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1509 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -0.4, -1, 59, 5, 2, 27 in descending order.\nAnswer: 59, 27, 5, 2, -0.04, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 - 20412*z**2 + 6150624*z + 58300389440 = 0. What is z?\nAnswer: -1385, 3244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000772 to five decimal places.\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (184*g**2 - 701 + 701)*(15*g**3 - 9*g**3 + 14*g**3) + (-g**4 + 4*g**4 - 2*g**4)*(1 + g - 1) - g**5 + 0*g**5 - g**5.\nAnswer: 3679*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -802909931 + 802909893.0000089. Let n = z - -38. Round n to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 840.4437ug?\nAnswer: 0.8404437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12404*p**5 + 12692*p?\nAnswer: 248080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -957, 2\/3, 3\/7, 5, -0.09?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*x + 35, 67*x = 63*x - 5*v - 35 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -9 - 3. Let r(o) = -o + 4. Let d be r(0). Let s = d + b. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*d**3 - 347 + 7*d**3 - d**4 + 480*d - 293 - 51*d**3 + 6*d**4 + 230*d**2.\nAnswer: 5*(d - 8)**2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2269524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.062.\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 146137 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: Evaluate ((-528)\/1320)\/((-15)\/((-13125)\/56)).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6310, 34392, 81194, 146716, 230958?\n\"Answer: 9360*t**2 + 2*t - 3052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -3)\/((-8)\/(5 + -1)). Let h be ((-132)\/(-24))\/(z\/2). Factor -2*k**4 - 14*k**5 - 9*k**3 + h*k**5 - 3*k**2 - 7*k**4.\nAnswer: -3*k**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28981018?\nAnswer: 2, 11, 1317319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/216 and 11 + 67\/(-20) - 9.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -308.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1889538 to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 2*r**2 + r - 27. Suppose -20 + 23 = y + n, -2*y + 4*n = 0. Let l(f) = f**2 - 13. Give y*k(i) - 5*l(i).\nAnswer: -2*i**3 - i**2 + 2*i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*52\/1638*28\/204?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*y + 4*y. Let l(i) = i**2 - 5*i + 6. Let c be l(4). Suppose 0 = -2*a + c*z + 16, -4*a = -a - z - 16. Sort y, 1, a in decreasing order.\nAnswer: a, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/4 + 27*z\/4 + 29\/2 = 0 for z.\nAnswer: -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 19*i**2 + 11454 - 11454. Let h(d) = -81*d. Determine r(h(c)).\nAnswer: 124659*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1541?\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**3 + 3*n**2 + 20*n - 21. Calculate j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(f**2 - 4*f**2 + 2*f**2)*(15551 + 28*f - 15551).\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8790*n**3*q**3 + 2*n**3 - 2*n*q**4 + n*q + n - 15544*q wrt q.\nAnswer: -52740*n**3*q - 24*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*o - 893 = 972 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(160\/(-28)))\/((-4)\/(-40))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 7:38 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -18 + (-5 + 3 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 808220 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1400421*g*y**3 + 2*g*y**2 + 57*g + 1200*y wrt y.\nAnswer: 8402526*g*y + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/16)\/((44\/6336*-36)\/(10\/(-12)))\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 386552, 774660, 1162768?\nAnswer: 1550876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine sixteenths of a day?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31965875783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -1 + -23 + 19.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92065132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3012 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10152760, 10152774, 10152802, 10152850, 10152924, 10153030, 10153174, 10153362?\nAnswer: 10153600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**7\/105 + 3*n**5\/5 - 27*n**3 + 5*n**2. Factor t(l).\nAnswer: -2*(l - 3)**2*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1928493519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242 - 241.57. Let l = 0.19 + q. Let w be 1\/(-18*2\/8). Put 2, w, l in decreasing order.\nAnswer: 2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 3*a**2 - 7 + 1\/24*a**4 + 0*a + 1\/6*a**3. Let l(w) = 5*w**2 + w + 3. What is l(f) - 3*p(f)?\nAnswer: 5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138336070 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123752 + 18*m + 61884 + 61868.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 181980295 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5*(-6)\/9*(-162)\/(-15) is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4501350 and 93\/1400.\nAnswer: 18005400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + o + 0*o)*(4 - 4 + o)*(-5 + 5 - 3).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1136 + 1135. Is 4\/953 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 8*v - 2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 7*j + 9. Suppose 0 = 9*p - 5*p + 16. Let t be k(p). Let y(d) be the first derivative of d**4\/4 + d**3\/3 - 2*d**2 + d + 2. What is y(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1049 - 854. What is the greatest common factor of p and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3)\/(-6)*(-29)\/145\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47118304?\nAnswer: 2, 1472447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-764)\/3 - 2\/(-3). List the prime factors of (-2)\/(-3) - j\/6.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/40*-28*-3*(-80)\/(-144).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1121508, -2243040, -3364580, -4486128?\nAnswer: -5607684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - z + 4*z + 5*z - 2*z - z + (1 + 3 - 3)*(4*z - 5*z - z) - 3*z + 2*z + 0*z + 3 - z - 3 + (3*z + z - 6*z)*(1 - 5 + 5))*(0*z**2 - 2*z**4 + 0*z**2).\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:43 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 5 + 8 + -15 + 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36561135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11811043 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6689078 to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 4. Let f be m(3). Let o = f - 6. Let s = 8 - 7. What is the remainder when o is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 - 2*q**5 + 0*q**4 + 5*q**5 - 3*q**5 - q**5 + (q - 3 + 3)*(q**4 + 4*q**4 - 2*q**4).\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, x: 5, c: 1}. What is prob of picking 3 x and 1 c?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.05 (b) -5 (c) -1\/7 (d) 0.05 (e) 1\/2 (f) -4 (g) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/11))**(-1\/18))**(-1\/38)*(j\/(j*j**(2\/5)*j*j))**(2\/97)\/((j*(j**1*j)\/j*j*j)\/j**(-7)) assuming j is positive.\nAnswer: j**(-20161043\/1824570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3932289708 + 3932289478.00000137. Let b = n + 230. Round b to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.33 - -22.83. What is the third biggest value in -6\/25, f, -6, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3180*j**3 + 45*j**2 - 45*j - 132. Let l(r) = -288*r**3 + 4*r**2 - 4*r - 12. Determine -45*l(s) + 4*t(s).\nAnswer: 240*s**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -189, -187, -185?\n\"Answer: 2*f - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5507 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s**2 + 156*s + 1. Calculate u(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -468*i**4 + 396*i**4 + 342 + 0*i - 2071*i**4 + 3*i wrt i.\nAnswer: -25716*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36668, -36799, -37016, -37319?\nAnswer: -37708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = -4*d, 2*d + 0*d - 4*i - 18 = 0. Let v be d*2*2*2\/(-2). Let a(c) = -3*c**2 + 9*c - 12. Let t be a(v). Is -25 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 64882497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34645.\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - -0.01. Suppose -6*w - 123 - 57 = 0. Let q be (-22)\/w - (-12)\/(-30). Put 5, q, o in decreasing order.\nAnswer: 5, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*d - 5 = d, -r - 5*d + 19 = 0. Let b = r + -1. Let j = 3 + b. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79.2193954 + 0.004\nAnswer: 79.2233954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3 and 0.034?\nAnswer: -0.0782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxzxxgggxgxz. Give prob of picking 2 g.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**4 + 36*b**3 + 508*b**2 + 684*b - 1224 = 0. Calculate b.\nAnswer: -6, -3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -1\/2*z**2 + 0*z**3 - 5*z - 1\/6*z**6 + 0*z**4 + 0 + 0*z**5. Differentiate w(f) with respect to f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - 3) + (-572)\/(-836)*19.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/6 + 1)*-3. Let d be -3*b + (-5)\/5. Is (2 - 2\/d)*22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1951 divided by 58103?\nAnswer: -1951\/58103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4322, 0, 338, -7?\nAnswer: -0.4322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*z - 800 + 677, -5*b + 190 = z for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42173 and 362.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*v = -4112, -8*t + 7*t - 824 = v. Round t to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -60415?\nAnswer: -60426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (405\/162)\/(25\/(-30))*2\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-2 - -20) - -24 - 17 - (-8 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 159, -3, 0, -2, 1\/10?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11)*u*u)**(-15)*u*(u\/(u*(u\/(((u\/(u\/(u**(-26)\/u)))\/u)\/u))\/u))\/u*(u*u*u**(-16\/7)*u)\/u assuming u is positive.\nAnswer: u**(740\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 96, 481, 1760, 4455, 9088, 16181?\n\"Answer: 87*y**3 - 75*y**2 + y + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 329.932 + -329. Let l = n + 0.068. What is the fourth biggest value in -0.07, 2\/3, l, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 72, 234, 502, 876, 1356?\n\"Answer: 53*a**2 + 3*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 16. Let r(s) = 3*s - 1. Let q(v) = -v + 1. Let k(w) = 2*q(w) + r(w). Let x be k(-8). Let p(n) = n - 11. What is x*p(a) + 5*l(a)?\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -10 - -2 - -1) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 312625677 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -23 - (62 - (111 + -70))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -3*l + 15, -7*q + 8*q - 3 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 784 and 880.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 4. Let r be 3 + (-4 - h\/3). Let k be 6\/(-15) - 4\/(-10). Solve r = 3*a - k*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**3 + 164*a**2 - 164*a**2 - 8*a + a.\nAnswer: -20*a**3 - 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(44))\/sqrt(4) - sqrt(55)\/(sqrt(20)\/sqrt(4)))*-3.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/((-6)\/(-54)) + 3920003. What is i rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -58. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 147 = -c + 164, 4*c + 140*u = 316 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 735850, 735734, 735618?\n\"Answer: -116*v + 735966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 3*i - 14. Let p be y(6). Suppose 2*g - 7 = 3, -2*g = -x - 39. Let n = p + x. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -53. Let m be (x + 4)*3\/(-6). Solve -2*u + m = q + 1, -8 = -2*u + 2*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*2 - (-5 + sqrt(19) + -1))**2.\nAnswer: 180*sqrt(19) + 4311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b = -43 - 56. Suppose -6668 + 2015 = -b*s. Is s a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313470, 1253932, 2821374, 5015802, 7837222, 11285640, 15361062?\nAnswer: 20063494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-21))\/(2\/(-48)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {o: 1, s: 3, p: 2, u: 1, h: 1, m: 5}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1)*(-14)\/(-2). Let b = w + -6. Calculate the greatest common divisor of 8 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -130, -209, -294, -385, -482?\n\"Answer: -3*c**2 - 70*c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 60 = v. Let w = v + 33. What is the derivative of 5*h - w + 0 - 4*h + 5*h wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**5\/110 + h**3\/33 + 4*h - 3. Let l(u) be the first derivative of a(u). Find y such that l(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6 and -19\/196704?\nAnswer: 196704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -378 - -405. What is the smallest common multiple of 10 and (1 - (0 - 3 - -1)) + a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65874151 and 2.3.\nAnswer: -151510547.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3870.3 + 3871. Is -10 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 425499073474 + -425541801276.999979. Let w = q - -42727830. Let z = -27 + w. Round z to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 15. Suppose r = -2*w + 6*w + 2*d - 42, 3*w = -2*d + 34. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 0.1 (c) -0.275 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g. Suppose 3*h + 5 = -1. Let z be k(h). Suppose 70 = 6*d - 2*d + 2*v, -5*d = 2*v - 90. What is the highest common factor of d and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 divided by 2758?\nAnswer: -167\/2758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:55 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 200111020022222112?\nAnswer: -200111020022222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 416 + -2910\/7. Factor r*y**2 - 8\/7 - 6\/7*y.\nAnswer: 2*(y - 4)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1341 - -2308. List the prime factors of k.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = z + 5*u + 52, 39 = -2*z + 3*u. Let s be ((-1)\/z)\/((-14)\/12). Let y = 67\/126 + s. Do 1 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**3 + 1. Let g(r) = -25*r - 8*r + 5*r**2 + r**2 + 33*r. Calculate l(g(n)).\nAnswer: -108*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.35 + 14. Let g = 0.05 + d. Sort -3, -2, g.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*22896\/(-96)*(-368)\/276?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 36*n + 8. Let q be (-792)\/(-110) + (-1)\/5. Let b be x(q). What is the greatest common divisor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5622656244419 minus 3?\nAnswer: -5622656244422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*f = 10000, 35*f - 31*f = 5*l - 25000. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and (-1)\/(-2 + 1\/(30\/57))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -7 - (-1 - -3)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:54 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058862658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -21, -2 in descending order.\nAnswer: 2, -1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000675 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(630\/3320) + 12\/9. What is the highest common divisor of 105 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87418007077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5*13\/325)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24377409 and 12852?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.8 greater than or equal to -0.975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*u = -4*s - 10, u - 7 = 4*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290994 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from poppippippxo. What is prob of picking 4 p?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + 83 = -34 - 28 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5960)\/23840 + 17\/36\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -90. Let p = -51 - k. Suppose 3*a - 12 = -3*w, -a - 4*a = -3*w + 36. Solve p = 3*j - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 23*f**2 + 69*f + 150. Give m(26).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4 - 558*l + 540*l - 5. Calculate b(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*t + 149*t - 51*t = -30628 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/27 and ((-3406)\/(-195))\/((-9)\/5 - -1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 + -83. Suppose -8*t = x*t - 26982. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.33, -109.45, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 152 - 11*n**3 + 512*n**4 - 21*n**3 - 6*n**3 + 38*n**3 wrt n?\nAnswer: 2048*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16237962.\nAnswer: 2, 3, 13, 23131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7))**(-4\/15)\/(h*h**(-1\/4))**(-9\/5))**(-2\/75) assuming h is positive.\nAnswer: h**(-107\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + a - 31 - 42 = 0, -102 = -3*g - 4*a. Let h be g + (0 - (-4)\/1). Let w = 4 + h. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*c**3*p**3 - 2*c**3*p**2 - 31*c**3*p - 5*c**2*p**2 + 44*c*p**2 + 16589*p**3 wrt p.\nAnswer: -168*c**3 + 99534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.22, -1\/8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4549*a - 2174*a + 2 - 2295*a.\nAnswer: 80*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by -1?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3123660 and 47\/14.\nAnswer: 21865620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -57, -165, -369, -699, -1185, -1857, -2745?\n\"Answer: -5*o**3 - 3*o**2 + 2*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, 65, 283, 713, 1427, 2497?\n\"Answer: 12*s**3 - 2*s**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 23. What is the second derivative of -2*q + z*q**5 - 3*q**5 - q wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 140. Let j = m - 132.999947. What is j rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23585\/8 - 2954. Let o be ((-1821)\/18)\/((-2)\/(-6)). Let p = -277 - o. Find the common denominator of w and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 112213321?\nAnswer: 112213313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -265.09 + 265. What is the third smallest value in d, 2, 2\/5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 339707 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 73.8 and -0.4.\nAnswer: 73.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (19 + -1 + -9) - -7 - (8 - -83)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2346 by -2.\nAnswer: -1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*z + 3 - 69*z + 31*z)*(5*z + 43*z + z) as u + l*z + w*z**2 and give w.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 c when four letters picked without replacement from pppzzpzzzjppcdziic.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8294.495 nanometers to micrometers.\nAnswer: 8.294495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 3380, 7856, 14134, 22220, 32120, 43840?\nAnswer: 57386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10781*z**2 - 5464*z**2 - 5323*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 6003*u + 6006.\nAnswer: -3*(u - 2002)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 5*a + 324 - 319 = -s, 2*s + 2*a = a - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/15)*a**(-6\/5))**9*(a*a**(-5)*a)\/(a**(-1\/3)*a)*a**(-4\/5)*a**1 assuming a is positive.\nAnswer: a**(-196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 890159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11019, -10962, -10797, -10470, -9927, -9114?\nAnswer: -7977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242571651.\nAnswer: 3, 7, 19, 127, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 6*w - 3*w + 39, -5*n - 18 = -4*w. Is (-3412)\/n*(-42)\/(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*p = 12, 2*z = -3*z - p - 32. Let r be 3\/(-6)*z + 250. Suppose 2*f - r = -5*l - 0*f, 4*f + 33 = l. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 9*r + 3 + (1 - 1 - 1)*(2*r + 0 + 0) - 1 + 3*r + 1 + 2*r + 3*r - 3*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17062 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 0 + 0*l**2 - 2 - 6 + l**2 - 5*l. Calculate y(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-80)\/60)\/((-4)\/30))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -32, -5, -31, 2 in decreasing order.\nAnswer: 2, -3\/4, -5, -31, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Solve -3*x = -2*x + i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001001100101000111 (base 2) in base 8?\nAnswer: 10114507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 454648965 divided by 15.\nAnswer: 30309931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5819929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5395057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139142 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: Suppose -n + 3*n = -4. Let d = 4 + n. What is the closest to 1 in -1\/12, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/9 + ((-2)\/(-1) - -2). Find the second derivative of k + 199654*k**3 + 7*k - 199737*k**d wrt k.\nAnswer: -498*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**3 - 44*h - 11*h - 14*h**3.\nAnswer: 3*h**3 - 55*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5711349*6.\nAnswer: 34268094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1598 and 221?\nAnswer: 353158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 8*r**2 + r + 8. Let i be h(8). Solve i = p - 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58.8 + 41. What is q rounded to zero dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 186 and -41.7.\nAnswer: 144.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 1, -13*k + 30*n - 13*n - 14*n = 146 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1169\/6 in 3, 4\/9, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23\/3*j**3 - 1\/6*j**5 + 10*j**2 + 0 + 2*j**4 - 25\/6*j.\nAnswer: -j*(j - 5)**2*(j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 887 - 193. Suppose -h - 5 = 0, -5*c + 2009 - g = 2*h. What are the prime factors of c?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-3\/2)*x\/(x**(-2)*x)*x*x*x**(-1\/3)*x*x**(-3\/2))**(-1\/4) assuming x is positive.\nAnswer: x**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**0)**(-1\/37)*(f\/f**(-3\/10))\/f**(-3\/5)*(f*f*f\/(f\/(f**7*f))*f)\/f*f**(-2\/19)*f*f\/(f**(-6)\/f*f)*f**(-2\/13)\/f assuming f is positive.\nAnswer: f**(1701121\/91390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*k + 2*p, 2*k - 5*p = -10 - 5. Let w be ((-5)\/2)\/((-5)\/k). Suppose 3*n - 5*n = 5*r + 3, 2*n - 5*r = 7. Sort n, w, -0.1 in descending order.\nAnswer: n, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3483 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1700 and 113\/3060?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.024 - -0.476. Which is the closest to 0.1? (a) 1 (b) -5 (c) -4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 + 0*r**2 + 339 + 9*r**2 + 307.\nAnswer: r**2 + 646","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1511025.3\nAnswer: -4533075.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, t: 1, r: 4}. What is prob of sequence trqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25839925 to the nearest integer?\nAnswer: 5083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/996 and -103\/2607030.\nAnswer: 5214060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-58 + -5))\/((-14)\/63)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 75*p + 215. Determine v(-77).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5010 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101\/156 - -1\/52. Solve 2\/3*b + l*b**2 + 0 = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 78*m**2 - 3 - 17*m**2 + 2*m**3 - 33*m**2 - 2*m - 1 to the form c*m + t + o*m**3 + s*m**2 and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 5. Let h be t(0). Suppose 4*y = 3*q - 0 + 1, -4*q = -h*y. Differentiate 0*l**3 + 3 - 4*l**3 + q*l**3 with respect to l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = 0, 0 = 5*l + 4*x - 19 - 13. Let w(a) be the first derivative of -1\/15*a**3 + 1\/20*a**2 + 0*a + 1\/40*a**l + 12. Factor w(q).\nAnswer: q*(q - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - q - 15 = 0, -5*i + 35 = 2*q. Let t(n) = -8*n**3 + 2*n**2 + 3*n + 2. What is the remainder when t(-1) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + u**2. Suppose 2*s + 13 = 4*s + 5*p, -5*s = -5*p + 20. Let h(o) = 2*o**3 + 3*o**2 - o. Let b = 36 + -35. Calculate b*h(f) + s*n(f).\nAnswer: f**3 + 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34581*x**5 - 26*x + 19 wrt x?\nAnswer: 691620*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111877 + -5814?\nAnswer: -117691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.7. Let f(d) = -4*d + 1. Let m be f(0). What is the nearest to m in -2\/3, i, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-66 + 18)) + 51 + -5?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 893*m + 18204. Does 64 divide z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32123769660 rounded to the nearest one million?\nAnswer: -32124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + b**2 + b. Let i(g) = 12*g**4 - 6*g**3 + 6*g**2 + 6*g - 5. Let z(m) = -i(m) + 6*t(m). Find the first derivative of z(a) wrt a.\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1\/39 (c) 0.06 (d) 3\/8 (e) -966 (f) -2 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4360010657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 30*i = -29*i + 31, -39 = 6*s + 3*i. Sort -1, 4, 3, s in decreasing order.\nAnswer: 4, 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 72 = 141*k + 38 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4791 + 4787. Put -3, -1, l, -56 in ascending order.\nAnswer: -56, l, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reewdwberbrebb. Give prob of picking 1 r, 1 d, and 1 w.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6397993 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793958.\nAnswer: 2, 11, 151, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29365270 is divided by 444.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1217*t**2*u - 58*t**2 - 5*t*u - 3*t - 43351159*u wrt t?\nAnswer: -2434*t*u - 116*t - 5*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-7 + (1 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m = 17*m + 111*m - 905 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259303.\nAnswer: 11, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*w + 2. Suppose w*z + 3*x - 24 = 0, -x - x = -4*z + 62. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/53904 and 7\/48?\nAnswer: 53904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 + 276. Suppose -3*u - 5*k = -g, 4*u = -4*k + 9*k + 139. Calculate the smallest common multiple of u and 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 164 - 23. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5364 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1224*l**2 + 489 - 991*l**2 - 489 to the form w*l + f + o*l**2 and give o.\nAnswer: -2215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12437 divided by 36.\nAnswer: -12437\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3150436 + -66181748\/21. Let i = h + 1076. Which is smaller: 1\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*q - 17*q + 1 + 31*q)*(500*q**2 + 1009721*q - 1009721*q).\nAnswer: -500*q**3 + 500*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2))**(1\/23)*(d**1)**(-47))**(-32))**46 assuming d is positive.\nAnswer: d**69312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -168958, -1351669, -4561878, -10813333, -21119782, -36494973, -57952654?\n\"Answer: -168958*h**3 - h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 2*s + 3. Let i be l(2). Let f = -0.601 - 0.399. Which is the closest to -1? (a) f (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -63 in descending order.\nAnswer: 6, -1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*p = -8, 0 = h - 3*p - 4 - 7. Let a = h + 4. Solve a = o + o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.263 (b) -852 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - 1 - ((-14 - -1) + (-45 - -131))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21011 - -21010.6. Which is the second biggest value? (a) w (b) 10.87 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(5\/4))**(-12\/11)*(c\/(c\/c**(-4\/13)*c)*c)\/(c*c\/(c\/((c*c**16\/c)\/c))))**(-5\/3) assuming c is positive.\nAnswer: c**(11465\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 33*b**2 + 2*b + 1. Is s(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 68, -7, 14 in increasing order.\nAnswer: -7, -5, 14, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-41)\/615*(-2 + 7). Sort 17, n, -1.\nAnswer: -1, n, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3238597 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1849?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**6\/8 + 2*o**5\/15 - 1081*o**3\/2 - 5*o**2 - 37*o. Differentiate j(x) with respect to x.\nAnswer: -45*x**2 + 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -123, -181, -239?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 + 361*d**2\/2 + 6741*d\/2 + 30699\/2.\nAnswer: -(d - 379)*(d + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7406, 7408, 7410?\nAnswer: 7412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1\/6)\/i)*i)**11*(i*i*i**(2\/7))\/i**(-7) assuming i is positive.\nAnswer: i**(1853\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, 6, -5, -1, 3, 30.\nAnswer: -5, -1, 3, 6, 30, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 104 = -29. Solve m*h = 10*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*u + 1750, -2*u - 1803 = 3*k - 88. Is 23 a factor of (8\/5)\/((-10)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761770423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 360, 727, 1094, 1461?\n\"Answer: 367*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*g - 5*a, -3*g = 4*a - 38 - 58. Let c = -26 + g. Which is bigger: 6 or c?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 720014, 719848, 719682, 719516?\n\"Answer: -166*p + 720180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.02 (b) 0.2 (c) -0.47 (d) -1\/2 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -21.7.\nAnswer: 43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -3, 22, 67, 138, 241, 382?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*k + 3117, -6294 = -2*i - 0*i + 4*k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/220)\/6 + 1602\/4950\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16753 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 8*g**2 + 15*g - 6. Give o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/20)\/(4114\/(-605)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9628\/9 - 1070. Which is the smallest value? (a) 1 (b) 1\/3 (c) t (d) 1\/6 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162972 and 11752092?\nAnswer: 105768828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*l + 30 = 0, 0*l = 4*l - 20. Suppose 0 = -v - 1, r*s - 7 = 2*v + 3. Calculate the highest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2. Let a(w) = -w**2 + 1. Let i(l) = -10*l**2 + 9. Let x(z) = -18*a(z) + 2*i(z). Calculate -7*x(c) + 5*y(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus -0.42088573737851?\nAnswer: -0.44088573737851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewweeeeeeeeeweeee. What is prob of picking 3 w and 1 e?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-23)\/46)\/((-1)\/(-20)). Let d(p) = -p**2 - 11*p - 1. Let i be d(l). Solve -4*t = -i*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = r - 9, 4*u + 30 = -0*r - 2*r. Let z be 28\/(-42) - (-197)\/3. Is 8 a factor of 2\/(-7) - z\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 12:44 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 7.4593595?\nAnswer: 7.1593595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19551 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 614867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3974998965 and -322.1.\nAnswer: 3974998642.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 582552 and 3931416?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -246, -507, -1018, -1863, -3126, -4891, -7242?\nAnswer: -10263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -391, -3160, -10721, -25468, -49795, -86096?\n\"Answer: -399*z**3 - 2*z**2 + 30*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33670 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = r - 6*r - 2*t, r - 2*t = -11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-600)\/(-56) - 11) + (-90)\/(-21). Put -57, -4, 2, j in descending order.\nAnswer: j, 2, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 77 - 2931. Let m = v - 230. List the prime factors of m.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 3\/5, -14059, 2\/3, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = m + 32, 72 = -3*m - 4*t. Let i be -6 + ((-432)\/m)\/4. What is the third biggest value in i, -17, 0.1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:41 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49626975 divided by -661693.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9057487*b = -9057609*b - 13054 for b.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 110494*i**2 + 1616*i - 1616. Let p(n) = 205*n**2 + 3*n - 3. Calculate -1616*p(c) + 3*x(c).\nAnswer: 202*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 115080 divided by 21\nAnswer: 5480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*r**2 - 3*r**3 - 48*r**2 + 101*r**2.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 6*v - 3. Let a be x(3). Suppose 7*t - a = 1. Let m be (-2)\/((-8)\/(-12)) - t. Are m and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3 + 2360*v**2 + 9500*v + 9520 = 0. What is v?\nAnswer: -2, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 35259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {h: 8, v: 3}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.569012 and -3?\nAnswer: -1.707036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6))\/((-8)\/48). Solve -2*i**5 - 40*i - 8*i**4 + x*i**3 + 16 + 45*i**2 - 17*i**2 + 4*i**5 = 0 for i.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21557139?\nAnswer: 3, 17, 422689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.349 + 0.249. Which is the closest to -1\/2? (a) 4 (b) 6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-3)\/(-9))\/(364\/42)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 5*m**2 - 4*m + 2. Let y be (-5 - -1)*(-2)\/4. Suppose -y*l + 5 = -1. Does 4 divide s(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 24. Determine i(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/3)\/(2\/102)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -w - 15, -3*x - x + 12 = 2*w. Suppose w = v + 4*v + d + 12, 2*v + d = -6. Which is the second biggest value? (a) 0.08 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 12*t - 40. Let j = 83 + -58. Suppose -5*w + 4*r = -0*w - j, 2*r = 5*w - 35. Is 10 a factor of i(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*1 + sqrt(540))*5)\/((sqrt(120)\/sqrt(5))\/sqrt(8)*2).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 9*g**3 - 840*g**2 + 4977*g - 1566 = 0.\nAnswer: 1\/3, 6, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + (1 - 6) - 183. Let g = m + 248. Calculate the remainder when 282 is divided by g.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - 4*h)*(-9 + 5 - 4) as f + u*h and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - (-21)\/(-49)*-11. Find the second derivative of 5*p**5 + 11*p**s + 28*p - 2*p**5 wrt p.\nAnswer: 280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.8 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**6\/2 + r**5\/5 + 65*r**2\/2 + 35. What is the second derivative of p(o) wrt o?\nAnswer: -60*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 214758803.\nAnswer: 1073794015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.15 + 8.118. Let l = 0.032 + w. What is the closest to -1 in 1\/5, 3, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 75 = -2*z. Let f be (-3)\/z + 44\/(-30). Let d = -4 + 4.3. Which is the third smallest value? (a) f (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 189*b - 3082. Calculate a(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3585.\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**3*f**3 - 4*a**3*f + 25660*a**3 + 2*a - 458027*f**4 + 3*f + 1 wrt f?\nAnswer: 30*a**3*f - 5496324*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/290 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose 0 = 244*x - 246*x + 2. Are q and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7*a = 8*z - 36, -4*z + 24 = 2*a. Solve 5*q = -6*o + a*o - 32, -q = -o + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 12\/5*y**2 + 0*y - 12 + 8\/5*y**3 + 3\/10*y**4. Factor c(f).\nAnswer: 6*f*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -3, -12, 0.02 in decreasing order.\nAnswer: 6, 2, 0.02, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2689625 + -4?\nAnswer: -2689629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 2\/9, -14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124122 + -5384372\/43. Let o = u - -1096. Is o at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227265.\nAnswer: 3, 5, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 89 = -3*r, -2*r = 453*o - 454*o - 13 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180801 is divided by 738.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-12)\/(-25)))\/(315\/(-42) - -5)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 5 + 0 - 8*v**2 - v**3 + 7*v. Let k = 2 - -5. Let x be d(k). Sort 0, -1, x in descending order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.2436 - -2.3127. Let c = 26866695 - 26866695.069099601. Let r = c + a. What is r rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -597*i**8\/56 + i**5\/20 - i**4\/12 + 30*i**2 - 190*i + 3. Find the third derivative of w(n) wrt n.\nAnswer: -71640*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 19.\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -4*c, -3*c - 4*j + 7*j = 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1. Let k(b) = -15*b + 4. Determine k(u) + 4*s(u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 52 = 4*l - s, 0 = 3*l + 2*s - 28. Let y be 4*(-4)\/((-16)\/l). Is (y\/4)\/(-1) - -58 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**6\/18 - k**5\/12 - 5*k**4\/36 + 5*k**3\/18 - 24*k - 2. Suppose v(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 7:57 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -53212, 4 in decreasing order.\nAnswer: 4, -4, -53212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 275, 276, 277, 278?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-123)\/(-738) - (-2)\/(-12). Let y be 4\/(-16) + (-145)\/(-4). Suppose -3*v + 7*v - y = 0. Solve -3*f + v = -b*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4326)\/90 - 4\/(-6). Let w = j - -48. Solve 9\/5*s**4 + 0 + w*s**5 + 0*s**3 - 12\/5*s**2 + 0*s = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2\/n**(2\/7)*n**4*n*n**(-2\/11) assuming n is positive.\nAnswer: n**(503\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2238, 8046, 17422, 30366, 46878, 66958?\n\"Answer: 1784*z**2 + 456*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/7)\/(y*y**8)*(y**1)**(-8\/3)*((y*y**(7\/4)\/y*y)\/(y*y\/(y*y*y\/y**(-1\/5))))\/((y\/(y**(-8)\/y))\/(y\/(((y**(-2)\/y)\/y)\/y))) assuming y is positive.\nAnswer: y**(-4981\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 179488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 23\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n + 21*n + 2184 = 0. Differentiate -1186*w**2 + 1186*w**2 + 19 + 10 - n*w**3 with respect to w.\nAnswer: -312*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -14*h + 7. Let o(w) = -5*w + 2. Let d(i) = -11*o(i) + 4*t(i). Determine d(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 966460.2 weeks to hours.\nAnswer: 162365313.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -14 - (-100)\/10 - -9. Solve -s*p + 0*p = 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**3 - l**3 - 3*l**3)*(6 + 0 + 2) to n*l**2 + v*l**3 + t + a*l and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3717 - -4069. Which is greater: m or 348?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 less than 2.8?\nAnswer: 2.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 152*v**2 + 418*v - 20317. Calculate u(77).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let k(p) = -p**3 + 9*p**2 + 5*p - 59. Let g be k(12). Let m = -443 - g. Sort 0, r, m, -3 in decreasing order.\nAnswer: 0, r, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -22*v**3 - 5*v**2 + 23*v + 5. Let h(g) = g**3 + g**2 - 1. Let j(r) = 5*h(r) + s(r). What is the second derivative of j(f) wrt f?\nAnswer: -102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 + 3*r - 6. Let c(o) = -6*o**2 + 4*o - 8. Let j(y) = -3*c(y) + 4*p(y). Let u(n) = 12*n. Calculate j(u(x)).\nAnswer: -288*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 4) + -2 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, o: 7}. Give prob of picking 3 o and 1 l.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0 - 89\/25*f**5 + 139\/30*f**4 - 41*f + 12*f**3 - 2\/105*f**7 - 20*f**2 - 13\/25*f**6. Solve v(o) = 0 for o.\nAnswer: -10, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/14)\/((-4)\/(-1414)). Suppose -10*y - t = -812. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 18*p - 6. Let l be n(3). Suppose 8*x = -0*x + l. What is the first derivative of -2*b**2 + 2*b**2 + 2 + 11 + x*b**3 wrt b?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226485701 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 58. Let b = x - 19. Does 17 divide (-56 - b)*(5 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 - -13273124?\nAnswer: 13273037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 10 = 5*m. Let y(z) = -z**2 - 4*z - 14. Let r be y(-3). Let h(i) = -i**2 - 23*i. Let p be h(r). What is the highest common factor of p and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825991.\nAnswer: 825991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -79, 2\/9, -0.17, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 456\/6540361 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -6161898.\nAnswer: -1\/6161898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33732 = -1069*g + 67*g + 26895 + 1497 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 l when three letters picked without replacement from jjlljjljjjljl?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 601*k**2.\nAnswer: -601*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - ((-4464)\/1422 - -1)\/(6\/(-42)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 51924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 7*x - 7. Let p(m) = -2*m**2 - 80*m + 90. Calculate the lowest common multiple of z(10) and p(-41).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*n + 10048 = 0, 4*n = 3*o + 772 - 10812. Let x be (-31)\/(-4) + 468\/208. Suppose o = x*j - 2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 38. Solve -3*n + n + 8 = a, 3*n + 1 = w*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -12. Let g = i + -4. Let r = g + 10. Calculate the remainder when 42 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 238901 = -5*h + x, 3 = 3*x. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/70)\/((-36)\/(-360)))\/(258\/21)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498470 is divided by 99691.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*p - 32 = 0, p + 4 = 3*m - 0*m. Suppose 3*d - 2*d - m = u, -5*d + 3*u + 5 = 0. Sort -3, d, 2 in increasing order.\nAnswer: -3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 2*a**2 + 98*a + 19. Let r be x(11). Solve -u = -12 + r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**5 + 2 - 2 + (-3*k**3 - 4*k**3 + 5*k**3)*(-2*k**2 + 3 - 3) + (3*k**3 - k**3 - k**3)*(-k**2 + 3*k**2 - 3*k**2).\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a9 - 3?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 24. Let v = k - -20. Find the first derivative of 7*c**2 - 2*c**2 + v - 1 wrt c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-11 - -2) - (44 + -56 + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 + 8 - 8 - (-11 + -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 2*u - 16, -4*s + 2*u - 3 = -23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 229, 135, -17, -227, -495, -821?\n\"Answer: -29*s**2 - 7*s + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 8.01. Let p = w - -5.51. Let m = p - 0.5. What is the nearest to 1 in -0.1, m, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28 - 4822?\nAnswer: -47d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3\/3 - 2*o**2 - 4. Let d(k) = k**2 - 4*k + 8. Let h be d(2). Determine r(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*z + 28 = 2*m, -2*z = 5*m - 124. Suppose 4*o = 4*p + m, 3*o - 32 = -p - 3*p. Calculate the lowest common multiple of (0 - -2)*(-21)\/(-6) and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 6 = -2*q + 2*u, 0 = 5*q + 5*u - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*q + h, -3*h + 2 - 4 = q. Let b be 2\/(-3)*(q - 22). Let p(z) = -10 - b + 18 - 2*z**2. Let r(g) = -18*g**2. Calculate r(p(t)).\nAnswer: -72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = 22*p - 1307. What is the remainder when p is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and -102930.4970966.\nAnswer: -102922.4970966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16)*l\/(l**0*l))\/(l**(10\/13)*l*l**(2\/69)) assuming l is positive.\nAnswer: l**(-15965\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*a + 1080 + 440 = 0, w = 2*a + 296. Solve w = -79*z + 40*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.07, 23, 0.2, 1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.654 + 0.146. Let p = k + -7. Let z = 5.7719 - p. Round z to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a + a - 4*a)*(-93 + 2*a + 93)*(a - 2*a - 3*a).\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1823*j*m**3*y + 3*j*m**3 - j*m**2*y + 136*j*m*y - 4*j*m + m**3 - 4*m**2 wrt m?\nAnswer: -10938*j*y + 18*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2.4, -6\/61, 9 in descending order.\nAnswer: 9, 2.4, 0, -6\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 11:25 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246 + -242. Solve -3*v = 16 - w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0121? (a) -1\/5 (b) 3 (c) 908\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/5 - 1\/5. Suppose 6 = 5*t - u. Let f = -1974 + 1974. Solve f = 2*g - 2, 2*h + 3*g + t - 13 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25334 and -0.06?\nAnswer: -0.0152004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 221405326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39279 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: Let d(l) = 2*l**2 - 3*l - 19. Let a be d(-6). Let s = 103 - a. Calculate the highest common divisor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 0.1141094673216?\nAnswer: 0.1858905326784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-19)\/(1197\/35)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.74 + -0.6. Let z = 0.04 - w. What is the nearest to z in 5, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-11)\/22)\/(1\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/599 (b) 0.7 (c) 2\/3 (d) -0.4 (e) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729319 is divided by 3757.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*r = 2970, -2*h + 2*r - 668 - 536 = 0. Let j = 35 + -20. Calculate the remainder when (h\/(-130))\/(1\/10) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2158 times 0.824\nAnswer: 1778.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*p + 2*p + 216, -6 = -2*p. Let r = -20 - h. Let y = r - 32. Which is the third biggest value? (a) -2 (b) -1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:36 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*b + 7*b + 85048 = 0, 3*q = -5*b + 51004. What are the prime factors of q?\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and -0.0236.\nAnswer: 5.9764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 11:12 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3509140 and 45\/34.\nAnswer: 3509140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.3778 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.66 + -0.2. Let r = -2 - j. What is r rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5. What is the remainder when 12 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 599\/134493 or 0?\nAnswer: 599\/134493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -427, -880, -1335, -1792, -2251?\n\"Answer: -x**2 - 450*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30956515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -5, -3\/10, -2 in increasing order.\nAnswer: -5, -2, -3\/10, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 21. Let c be q(-11). Let k = c - 15. Let x = 1 - k. Is 7 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75691.38 hours to days.\nAnswer: 3153.8075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/(-27)*(-3)\/2. Suppose 52 = 3*a + 2*m, a - s*m + 1 = -2*m. Calculate the greatest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-58)\/435)\/((-18)\/(-9)))\/((-35)\/735).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2657, -2590, -2523, -2456, -2389, -2322?\nAnswer: -2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 16*l**2 - 24*l - 20. Let p be n(14). What are the prime factors of 6056\/p - 14\/63?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - (-25 + 65 - (35 - 21)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 205, 735, 1761, 3445, 5949, 9435?\n\"Answer: 27*j**3 + 5*j**2 - 8*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 83 + (14 - 1) + -16 + 51 + -45\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Let n be -1*-177*1 + r. What is the highest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from bbccccbbcc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 508536*x - 1525626.\nAnswer: 2*(x - 3)*(x + 254271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0 - 5*(-2*sqrt(13))**2) + (2*(2*sqrt(117) - sqrt(117)))\/sqrt(9).\nAnswer: -260 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-204)\/(-30) - 4) + (-1)\/(-5). Suppose o = -2*o - u + 1142, 773 = 2*o + x*u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146355359 = 146355362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105 - -6) + (-67 - -75) + (25 - 9).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 5*201*-1. Suppose 31 - h = -6*s. Let k be (-10)\/(-75) + (-268)\/(-15). What is the greatest common factor of k and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:01 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 563 - 1487 = 0. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 384109, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -1231*w**9\/504 - w**7\/210 - w**6\/60 - 6137*w**5\/60 - 4*w**2 - 61*w + 3. Find the third derivative of d(o) wrt o.\nAnswer: -147720*o**3 - 24*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002093708 rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**3 - 3*d**3 - 4*d**3 + (-6*d**2 - 14*d + 14*d)*(-d + 3 - 3) - 12*d**3 + 6*d**3 - 2*d**3 to g*d + i*d**2 + m*d**3 + x and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 10160.\nAnswer: 10160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - h + 3 = -3, -5*o + 30 = -5*h. Suppose -2*v = -o*v. Which is smaller: v or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -257*f**3*s - 2*f**3 + 2*f**2*s + 182*f**2 - 25*f*s + f - s + 3 wrt s?\nAnswer: -257*f**3 + 2*f**2 - 25*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 1. Let v be m(-3). Suppose -r - v*r = 0. Let n = 41 + -39. Solve -n + r = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: What is the value of (-23)\/(-46) - (-3)\/(-6) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -2 - (-5 + 1))\/((-44)\/((-14520)\/99)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362694 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*c - 31 = -6*a, a + 4*c + 7 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-22) + (-19890)\/(-858). Solve 0 = 11*q - x + 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1787 divide 323086026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 + 4 - 3*h**3 - h**3 - h. Let l(x) = -3*x**3 - 3*x + 11. Let q = 32 + -21. Let o be (-2 - -2) + -3 - 1. Determine o*l(z) + q*i(z).\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 127, -0.5, 46?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192 - -126. List the prime factors of w.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 1.9, 3\/134, -12 in descending order.\nAnswer: 1.9, 3\/134, -5\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2783260 and -31\/14926?\nAnswer: 47315420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + -2*(5 + 3 + sqrt(425) + 5) + -2 + 3)**2.\nAnswer: 540*sqrt(17) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 341175814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20282, -5, 2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/42)\/(7\/42).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + -569652109786.\nAnswer: -569652109830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 17*p**2 - 19*p + 5. Does 23 divide f(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1914 is divided by 91?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1397\/2 in 2, -3, 30\/31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/65 - ((-48)\/(-35))\/(-2). Let u = 0.18 + 2.42. Let s = u + -3. What is the nearest to 2\/7 in 3, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 285374 and 16176.\nAnswer: 301550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2\/3*r**2 - 2\/3*r**4 + 2*r**3 + 0 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1142707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -674, -2595, -6420, -12785, -22326, -35679, -53480?\n\"Answer: -106*t**3 + 2*t**2 + 83*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 123?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2132595, -2132706, -2132899, -2133180, -2133555, -2134030, -2134611, -2135304?\nAnswer: -2136115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*p*p**(2\/79))\/(p**2)**39 assuming p is positive.\nAnswer: p**(-5686\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/486 and -71\/81?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/6*(11 + (-816)\/84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooof. Give prob of picking 2 o and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-96)\/(-7)*(-42)\/(-4). Let c = -10412 - -10460. What is the greatest common factor of d and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - a**2 - 2. Let j(v) = -2*v. Let o(g) = -g**3 - g**2 + 4*g - 3. Let h(k) = 2*j(k) + o(k). Give 2*h(z) - 3*u(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7096507*b**2*x + 17*b**2 + 5*b*n**3*x + 3537*b*n**2 + 28*n**3 wrt x?\nAnswer: 7096507*b**2 + 5*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2201 or -2202?\nAnswer: -2202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 13*u**2 + 14*u + 672. Let y(c) = -c**3 + 11*c**2 + 12*c + 671. Give -6*q(a) + 7*y(a).\nAnswer: -a**3 - a**2 + 665","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 112*b - 108*b + 24 = 0, 2*f + 3*b = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25772062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 30*w + 2. Let u be g(-30). Determine l, given that -2\/5*l**3 - 8\/5 + 8\/5*l + 2\/5*l**u = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 186 - -237304?\nAnswer: 23748a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*b*b\/b**(-2\/3)*b)**(4\/3)\/(b**(1\/18)\/b**(-9))**(-31) assuming b is positive.\nAnswer: b**(4949\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 478080?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5896 and 43952?\nAnswer: 483472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**5\/90 - i**4\/9 + 4*i**3\/9 + 8*i**2. Factor g(r).\nAnswer: 2*(r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 + 155. Suppose -t*a + 229 = 31. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 29*o = 30*o - 23, 3*t = 4*o - 41. Sort -7, 45, -1, t in increasing order.\nAnswer: -7, t, -1, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*b - 2370*b + 87618 = 2271*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - y**4 - y**4 + ((-3 + 3 - 2*y)*(1 - 4 + 2) + 2*y - y - 2*y)*(6 - 6 + 4*y**3).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(44) - sqrt(11)) + (1*sqrt(132) + sqrt(132) - sqrt(132))\/sqrt(12).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -6. Is (-6 - -8)*(q + 19) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = 5*h + 4*u, h + 4*u = -7. Suppose -h*v + 19*v = 380. Calculate the remainder when v is divided by (-26)\/(-4)*2 - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8445001861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 1 = 121 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -185931, -185939, -185947, -185955, -185963?\n\"Answer: -8*q - 185923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, 2, 10, 3\/8 in decreasing order.\nAnswer: 10, 2, 3\/8, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*n - 8 = 3, 2*y = 3*n + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/11)\/(k*k*k*k*k\/(k\/k**6*k))*(k\/(((k\/k**(-1)*k)\/k*k)\/k))**(-12\/5) assuming k is positive.\nAnswer: k**(-353\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1386, -5536, -12450, -22128, -34570, -49776, -67746?\nAnswer: -88480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*k - 956 = 1110*k + 7882 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -704*u**2 + 2739*u**2 + 1695*u**2 to the form p*u + n*u**2 + w and give n.\nAnswer: 3730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -288 >= -282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 0*p + 2*p)*(-2 - 2 + 2)*(-11*p**3 + 14*p**3 - 167*p**3) in the form s + n*p**4 + l*p**2 + y*p + a*p**3 and give n.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424\/395 + (-779)\/95?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62543743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40\/(-27))\/((-8)\/16*-4)*-6. Suppose 2\/3*w**3 + 8\/3*w + 0 + s*w**2 = 0. Calculate w.\nAnswer: -6, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - -1*sqrt(180)) + sqrt(45)*1*4)\/(-6*sqrt(18)\/sqrt(2)*-4*2).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5183440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 1, q: 1, c: 2, d: 2}. Give prob of sequence ddl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 134*r**2 + 1232*r + 110. What is v(-56)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**33*(w**1)**(21\/4))\/(w**(-1\/7)*((w*w**(-2\/3))\/w)\/w)**(-50) assuming w is positive.\nAnswer: w**(-7159\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**7\/5880 + t**5\/840 + t**3 - 9*t**2. Let r(n) be the first derivative of j(n). Determine m so that r(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 17*s + 27*s**3 + 3*s - 10*s**2 - 32*s**3 = 0. What is s?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.02501484\nAnswer: -0.01250742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -383 - -383. Suppose -2*a + 6 = 0, -4*s + y*s = a - 91. What is the remainder when 62 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5758116 and 896?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1688374563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 1. Let y(x) = 4*x**2 + 5*x - 6. Let z(v) = -3*b(v) - y(v). Let c(p) = 4 + 0 - 3 - p**2 - p. Calculate 3*c(s) - z(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9418 divided by 17?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o. Suppose 6 = 2*f - o. Suppose 136 = -f*c + 517. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*m + 20 = 0. Suppose -3 = m*s - 11. Let r(w) = 2*w**2 + 4*w + 3. Let a be r(-2). Solve -a = -s*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -354361b97 - -1?\nAnswer: -354361b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m + 92 = 958 + 334. Let f(r) = r**2 + 7. Let l be f(-5). What is the greatest common factor of l and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -383?\nAnswer: -3\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 5\/6, 6\/13, 0.24?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = 16. Let c = h - 26. Let s = -9 - c. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(64)\/(sqrt(24)\/sqrt(3))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/30*(-1)\/(-2). Put 4, 2.1, z in ascending order.\nAnswer: z, 2.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460837 (base 9) in base 6?\nAnswer: -5530524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.49285 meters to micrometers.\nAnswer: 73492850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -634 (base 7) to base 2.\nAnswer: -100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1115 + -1111?\nAnswer: -2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g + 20. Suppose 2*q = d + 608, 2*q - g*d - 253 = 347. What is the remainder when q is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(10 - 810\/75)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8622*x**2 - 5585*x.\nAnswer: 17244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(2\/7)\/b)*b)\/b)\/b**(2\/15))**32\/(b\/(b*b**3)*b*b\/((b*b**(5\/2))\/b)*(((b*b*b\/b**(-4))\/b)\/b)\/b**(-7\/4)) assuming b is positive.\nAnswer: b**(19883\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + j - 4 = -2*b, b + j = -2. Suppose -b*k + 100 = 2*k. Let u be 12\/(-4)*(-2)\/2. Solve -2*a - u*a = -k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 - 9*n - 15. Suppose 432*q - 3 = 433*q. Determine v(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4965034153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r)**(12\/5)\/((r*(r\/r**(3\/16))\/r)\/((r*r*r*r*r\/(r**(-4\/9)\/r))\/r*r*r*r)) assuming r is positive.\nAnswer: r**(3767\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.766*4.\nAnswer: -91.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 - 11*w - 6. Let m(d) be the first derivative of d**3\/3 + 2*d**2 + 2*d + 16. Calculate -3*k(a) - 8*m(a).\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h + 8. Let l(f) be the first derivative of -f**2 - 5*f + 2. Suppose 4 = -y - 4. Let u(w) = y*l(w) - 5*g(w). Calculate u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*g + w, 5*g + 3*w - 31 = 56. Let u be (-483)\/(-9) + 2\/6. Calculate the highest common divisor of g and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let t(k) = -2*k**2 - 5963*k + 1. What is m(t(x))?\nAnswer: 2*x**2 + 5963*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2013461, -2013460, -2013459, -2013458, -2013457, -2013456?\n\"Answer: v - 2013462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1697591, -1697566, -1697515, -1697426, -1697287?\nAnswer: -1697086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-15))\/((-4)\/(-20))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.94 - 0.06. Let t be 6\/9*(-2 - (-164)\/76). Which is the nearest to 2\/7? (a) t (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 35 - 75 = 0. What is the tens digit of 1978*((-2)\/t - 162\/(-180))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*2*4\/64. Determine r so that -r**2 + 1 - 1\/2*r + u*r**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from wuptp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 + 5 = f, 0 = -4*q - 3*f + 1. Let k = 19 - 14. What is the remainder when k is divided by (-1 - 1)*q\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - -158\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 1\/2 (b) -0.8 (c) 2\/15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 561441, 561194, 560935, 560658, 560357, 560026, 559659, 559250?\n\"Answer: -s**3 - 240*s + 561682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m = -145. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1217 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10494838 by 1.\nAnswer: 10494838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21539 - 21539.00049215. What is u rounded to six decimal places?\nAnswer: -0.000492","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3605. Let d(y) = 429. Let l(k) = -42*d(k) - 5*t(k). Let n(u) = u - 7. Let x(z) = z**2 + 6*z + 7. Let r be x(-5). Determine r*n(h) + 3*l(h).\nAnswer: 2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-2)\/4*218\/(-109).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82033438 to the nearest integer?\nAnswer: 9057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*b + 29*b**4 - 38*b)*(90*b + 116*b + 62*b - 41*b + 216*b).\nAnswer: 12847*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**5\/30 - w**4\/12 + 3*w**2\/2 + 2. Let x(d) be the second derivative of q(d). Determine m, given that x(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3 = -7. Let u be 2\/(r - -2) + -1. Suppose -11 + u = -5*b, b = 5*h - 28. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446580?\nAnswer: 2, 3, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 924, 919, 914?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 279?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 + m**5 - m**2 + 2*m**2 + ((968 - 180*m - 968)*(-7 - 2 + 1) + 6*m - 4 + 4)*(-m + m - 2*m**4).\nAnswer: -2890*m**5 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6.1*-231\nAnswer: -1409.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -45447 divided by -6\nAnswer: 15149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-0.153.\nAnswer: -0.01071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 4*c)*(0 - 1 - 1) - 148*c + 161*c - 93*c.\nAnswer: -88*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -210, -363, -516?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2478 and -19\/118?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -235, -862, -1913, -3394, -5311, -7670, -10477, -13738?\n\"Answer: -g**3 - 206*g**2 - 2*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -9*q**2 + 3\/20*q**5 + 0*q - 1\/8*q**4 + 0 + 0*q**3. What is the second derivative of p(w) wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/1755525 and 21\/40.\nAnswer: 14044200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 276*j + 2*j**2 + 19*j**2 - 269*j + 34*j**2 - 1461 - 3*j**2 with respect to j.\nAnswer: 104*j + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*z + 85*z + 8. Let r(x) = -3*x + 7. Let o be r(z). Let l be 412\/20 + 3\/o. Solve -4*g - l = 2*k, -3*g - g - 5*k = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29007780*r - 29761316.\nAnswer: -29007780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636*x + 31*x + 3376 + 17752 = -5492 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-12) + 187\/340. What is the closest to -1 in 3\/17, -1\/7, s, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -539 (c) 4 (d) -968\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1763836*l**2. Let b(h) = 2*h + 62. Calculate b(t(f)).\nAnswer: 3527672*f**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3239118, -3239125, -3239132, -3239139, -3239146?\nAnswer: -3239153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*f + 10. Let v = f - 5. Suppose -q - 3*q + 52 = v. Calculate the greatest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12191 and 521541?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2, -1, -3\/7, -336, -5 in descending order.\nAnswer: -2\/7, -3\/7, -1, -2, -5, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-19 - (-30 + 9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 98 = 91. Put w, 37, 0.4, -1 in descending order.\nAnswer: 37, w, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 3*i**2 - 5*i**3)*(i**2 + 2*i**2 - 5*i**2).\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/sqrt(48) + 2 + sqrt(76).\nAnswer: 2 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165182847.\nAnswer: 3, 2549, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -121, -120, -119, -118?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91487*k**3*v + 5*k**2*v - 49*k**2 + 152*v wrt k?\nAnswer: -548922*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -162, -286, -414, -546, -682, -822, -966?\n\"Answer: -2*f**2 - 118*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 2*f**2 + f + 2. Let q be y(-2). Suppose 16 = -4*h, -5*s + 3*h = -q*h - 63150012. Round s to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 4*z + 12, -1513*z = -2*k - 1516*z + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1017 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-12)*22\/11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6830.\nAnswer: 2, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65187, 65185, 65183?\nAnswer: 65181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10202112011 (base 3) to base 11\nAnswer: -50673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 + 1.26. Let m = y - 0.06. Let c = 19 - 19. What is the nearest to c in -0.4, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 205 = -5*z, 4*k + 205 = -k + 4*z. Let f = -70 - k. Let c = f - -99\/4. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Suppose 12*c + u = 24. Let a be (c\/7)\/((-81)\/63). What is the closest to 3 in 5, -4, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -45*v - 6. Let c be t(-5). Let f = c + -85. Let s = f - 82. What is the highest common divisor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzwzhwrbbbwwbkbhwzw. Give prob of picking 1 h, 2 w, and 1 k.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72564379\/248 - -292605. Let j = 21\/31 + y. Find the common denominator of (2\/60)\/(14\/1407) and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.4, -0.05, -5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 5*i + i - 34.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**2 - 2191215*q + 2191210 = 0.\nAnswer: 1, 438242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -9 + 2 + 1 + (7 - (-8 - 44)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647297 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a - 4*a + 180845 - 180879 + (2 + 1 - 1)*(-2 + 2 - 2*a) in the form z*a + o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41593*l = -43040*l + 112866 for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 42 = 16*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0398 and 9.2333.\nAnswer: 0.36748534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*a - 51*a + 40 + 68 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130540488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnnn when four letters picked without replacement from eemnmnnmn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 5*h**2 - 5*h - 1. Let u(p) = -5*p - 25. Let x be u(-6). Let r be b(x). Let t = 49 - r. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -0.13\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*v + 5*d + 25, 3*v - 10*d = 54. Suppose -4*b = -11 - 1. Sort -1, b, 1, v in decreasing order.\nAnswer: b, 1, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70130.25 - -0.28\nAnswer: -70129.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m - 100 = -3*m. What is the greatest common factor of m and 6860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 29.1. Let w = 13 + m. Which is the nearest to w? (a) -0.4 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -696993 + -3a?\nAnswer: -696a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234725923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1313 at most as big as -1312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**2 - 2*s**2 + 61*s**2 - 85*s**2.\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.4. Let n be (-93)\/48 - (-18)\/(-288). Which is the third biggest value? (a) n (b) o (c) -0.09 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2. Let m = 2 + 0. Let o(z) = z**2 + 0*z**m + 2*z**2 - 2*z**2. Determine u(o(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1381 is divided by 118?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 13) to base 15\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*n**2 + 44*n**2 - 14 + 47*n**2 - 267*n**2 + 47*n**2 + 48*n**2.\nAnswer: 3*n**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 82.99952 millilitres?\nAnswer: 0.08299952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 3*g. Let b be w(-3). Suppose j + b*j + 12 = 0. Let z = -8 - j. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:53 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-6)\/(-162)*1\/(-1)). Let r = 29 + k. Solve 14 = r*c + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3242 + -3228 + (9 - 7 - (0 + 1)) + 98.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004530648 rounded to seven decimal places?\nAnswer: -0.0000453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11413 + -0.04452.\nAnswer: 11412.95548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512*f**2 - 849075513 + 849075513.\nAnswer: -512*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 351 = -4*y. Let c = y - -207. What is the highest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*o**2\/2 - 1535340*o + 47145378312.\nAnswer: (5*o - 307068)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 31 (b) -4 (c) -6 (d) 0.1 (e) 2\/11 (f) 166\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2.3*-4805671\nAnswer: -11053043.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-1 - (-19)\/((-133)\/(-238)). Solve -25 = 38*q - j*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -76. Suppose 2*o - a = -7*o. Solve -2 = -o*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5047154, 10094246, 15141338, 20188430, 25235522, 30282614?\n\"Answer: 5047092*y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 5.9. Let h = 8 - d. Let u = -1 - 1. Which is the third smallest value? (a) h (b) u (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) 3 (b) -1\/57 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8*-1.8.\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -142280272 divided by 35570068\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (26 - 19)) + -28.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 690*w + 484*w - 1417*w to u*w + s and give u.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-344)\/336 - ((-8)\/(-112))\/(5\/10)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 70095\/8, -1\/7, 0.6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -57*r**3 - 54*r**2 + 74*r - 39. Let v(w) = 20*w**3 + 18*w**2 - 25*w + 14. Let b(d) = -6*f(d) - 17*v(d). Give b(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -292 + 350. Solve 0 = -4*n - 70 + i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 - 3 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, 108, -6\/7?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 69 + 624. Suppose -u - 6*u - r = 0. Let a = u + 40. Calculate the greatest common factor of 49 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(432)*-2 - sqrt(3)) + sqrt(3))*5)**2.\nAnswer: 43201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*m + 732 = -188*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from imimmmi?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 20 = 0, 5*q - a - 16 = -2*a. Let g = 23 + -13. Let h(i) = -i**3 + 9*i**2 + 9*i + 10. Let c be h(g). Put q, c, 2\/5 in decreasing order.\nAnswer: q, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 2*f**2 + 2. Let x be h(-2). Suppose x*d + d = 96. What is the common denominator of -19\/2 and 2\/(-1) + 236\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqi when three letters picked without replacement from {x: 1, q: 1, i: 3, z: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 351 = 4*c, -2*h + 4*c = -6*h + 440. What are the prime factors of h?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/4)\/((-3)\/4). Let q(o) = 4*o + c*o - 4*o. Let n(a) = 8*a**2 + 4. Let h(s) = -7*s**2 - 3. Let m(k) = -4*h(k) - 3*n(k). What is q(m(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 778972 and 2055911?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 + 4*k**3 - 4*k**3)*(-265*k + 322*k + 92 - 84).\nAnswer: -171*k**5 - 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6351*v - 16. Let l(i) = -16804746*i - 42340. What is 10585*g(r) - 4*l(r)?\nAnswer: -6351*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 152948 to the power of 1\/2, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18948667, 18948669, 18948671, 18948673, 18948675, 18948677?\n\"Answer: 2*j + 18948665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s + 1. Let t(z) = -8*z**2 - 2*z + 4. Determine t(i) - 4*u(i).\nAnswer: -12*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)\/m)**(2\/13)\/(m**(2\/11)*m**35))**16 assuming m is positive.\nAnswer: m**(-404944\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**4\/24 - 5*d**3\/6 + 3*d**2. Let v be u(-7). Suppose -3*c = -v*c - 11. Calculate the remainder when 32 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352944 + 310*t**2 - t**3 - 352944.\nAnswer: -t**3 + 310*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 - (10\/(-1) - (22 + -28)) and 141.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2627605 divided by 2\nAnswer: -2627605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3 - 448*u**2 = 0. What is u?\nAnswer: 0, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -142 + 164. Suppose -t + l = -1. Suppose -198 + 62 = -2*q. What is the remainder when q is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 10:05 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77009 is divided by 277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041 take away -44.08?\nAnswer: 2085.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 5*f + 49. Let j be k(10). Let u = 1 - -2. Let l = 0.6 - -1.4. Put j, l, u in descending order.\nAnswer: u, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4)*2)\/((-321)\/(-642))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122\/97091 or 1?\nAnswer: 122\/97091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-14))\/(13*(-11)\/(-572))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)\/(w**(-3)\/w))**(-50))**(-1\/4) assuming w is positive.\nAnswer: w**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 3*t + 0 - 1\/66*t**4 + 0*t**2 + 0*t**3. Find z such that r(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 448 - 313. Let q(m) = 2*m**2 + 18*m - 8. Let k be q(-13). Let w = x + k. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2*m + 1)*(-3 + 0 + 1) + 0 + m + 0)*(205*m + 51*m - 507*m) in the form d*m**2 + u*m + b and give d.\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37.7 + -36. Let j = m + -1.3. Put j, 4, 0.1 in ascending order.\nAnswer: 0.1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24074357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 3*o - 6*o + 4*o - 6*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -10 + (-2 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 3, -31 in increasing order.\nAnswer: -31, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -16*r - 41001. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*(16646\/(-1392) - -12).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 162? (a) 1 (b) -2\/17 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 8:12 AM?\nAnswer: 219","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109\/502 or -1?\nAnswer: -109\/502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8257\/6 + 1354. Find the common denominator of o and 4\/85.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 8*y**2 + 5*y + 12. Let p be f(-8). Let q = -2041171\/73556 + -2\/18389. Is q > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6424 - 6415. What is the greatest common factor of s and 4311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:25 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**2 - 9*p**5 + 3*p**2 - 3*p**2 wrt p.\nAnswer: -540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -709\/3348?\nAnswer: -709\/3348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s - 3*s + 4*s)*(0*s - 2 - 4*s + 7*s).\nAnswer: 30*s**2 - 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 191527079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-7)\/(-175) + (60\/25 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71 - 83 - 42) + 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 7894.4.\nAnswer: -7899.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(441) + sqrt(441) + sqrt(441) - sqrt(441))\/(sqrt(300)*-2).\nAnswer: 21*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*o - 25, 20 = 3*u + 2*u - 2*o. Suppose -u*g + 15 = 3*g, 5*c + 3*g = 16744. Suppose -c = -7*d + 3359. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.379 and 23233.\nAnswer: -78504.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/4*(-24)\/(-18) + 4. Suppose -20 = -k + z. Let d be ((-13)\/39)\/((-1)\/k). Solve -3*p + 6 = 0, -3*f = -4*p + 3*p - d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 268. Let t = -68 + 103. What is the remainder when y is divided by t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.4 (c) 1\/5 (d) 1.2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 14*k + 18. Determine q(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 413\/21) + 64\/6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 183251 (base 9) to base 3\nAnswer: 12210021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 899480.999998 + -899476. Let h = -1.1 - 3.9. Let p = h + g. Round p to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12135 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31\/4 (b) 32 (c) 0.13872 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31416124.7 rounded to the nearest 1000?\nAnswer: 31416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6)**(-36)\/(w**(5\/9)*w)**(16\/9))**(-1\/3) assuming w is positive.\nAnswer: w**(17720\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2 - 4*f + 1278*f**2 - 1282*f**2 - 3*f**3 + 4 + 2*f**3. Give y(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 890, 1959, 3434, 5303, 7554, 10175?\nAnswer: 13154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.45 or -35765\/3?\nAnswer: -4.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26\/7 of a week?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 2. Let q be k(3). Let x = 4 + -1. Suppose x*l - 7*l - 16 = 0. Put 2, l, q in increasing order.\nAnswer: l, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/13 - 1304502*z\/13 + 41742016\/13 = 0.\nAnswer: 32, 652219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3234)\/(-144) + 3\/(-24) + (-20)\/(-30)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164430 and 6525.\nAnswer: 822150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 193114 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 1 - (9\/(-12))\/(28\/(106400\/330)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0382421 to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 20\/23 (b) -1 (c) 0.5 (d) 4.19 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 366 and 5266.\nAnswer: 963678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 m when three letters picked without replacement from {m: 3, w: 1, j: 4, d: 1, k: 1, f: 6}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from xxxxxxuuuxoux?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.482 - 0.082. Let t = z + -10.3. Let s = t - 8.09592. What is s rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*r + 10, 3*r + p - 1 = -p. Is r less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6)\/(2\/20). Let s = -0.35 + -0.05. Let f = 0.583 - 0.183. Which is the second smallest value? (a) s (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1277 + 1276.99327. What is w rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 6*n**2 - n - 5. Give p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 1, -23\/3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.981758 rounded to 3 decimal places?\nAnswer: -0.982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 5. Let b be s(3). Let v be 2\/3*3 + -2. Determine p, given that -1\/2*p + 1\/2*p**3 + 0 + v*p**b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 8, 4, 0, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 12*b**3 - 6*b**2 + 15*b - 9*b**5 + 12*b**4 - 6 + 4 + 6*b**5.\nAnswer: -3*(b - 2)*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13b - dc6?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -113. Let i = 47 - m. Calculate the greatest common divisor of 45 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604747 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -122376517\nAnswer: -24475303.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2153 + -1d7?\nAnswer: -232a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 969 - 161. What is the remainder when l is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*p**5 + 51*p**4 + 736*p**3 - 607050*p**2?\nAnswer: -420*p**2 + 1224*p + 4416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, -1, 0, -55, -2 in increasing order.\nAnswer: -55, -2, -1, 0, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13762 + -2018.8.\nAnswer: -2018.66238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 7 = -v, -5*w = 3*v - 7 - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-16)\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/(-63) - ((-30)\/(-20) - (-10)\/20)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/904 - -1127\/904. Let p(r) be the first derivative of 15\/2*r**2 + d*r**4 + 5*r**3 + 11 + 5*r. Factor p(b).\nAnswer: 5*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1455*a**2*i*z + 1245*a**2*z + 3*a*i*z - 6*a*i + 3*a*z + 315*i - 4*z wrt a.\nAnswer: 2910*i*z + 2490*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49, -45, -37, -25, -9?\n\"Answer: 2*t**2 - 2*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(2057) + 2*(sqrt(2057)*3)**2 + sqrt(2057) + 0.\nAnswer: 22*sqrt(17) + 37022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 1)*(-1 + 0 + 0)*(-2 + 2 - t + (-1 + 5 - 2)*(-2*t + 5*t - t) + 2*t - t + t + t + 4*t - 4*t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25674805 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 22 = -2*f. Determine q, given that -9 - 5*q + f*q**2 - 8 - 10*q**4 - 5*q**5 + 7 + 10*q**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -321*f**2 - f - 24?\nAnswer: -642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -93.9, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (-7 - (-5 - 2) - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2915.948 decades?\nAnswer: 349913.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*m + 2 = 0. Let g = 0.24 - 0.2. Which is the third biggest value? (a) m (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -2. Let w = 13 + z. Find the third derivative of 0*b**6 - 2*b**2 + b**2 + 3*b**6 - w*b**6 wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3823932 and 96.\nAnswer: 30591456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.001*-0.5.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(108)*-1 - sqrt(108))**2 - sqrt(96)\/sqrt(8)) + ((sqrt(66)\/sqrt(2))\/sqrt(11) - sqrt(3)*-2*4).\nAnswer: 7*sqrt(3) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004008353 rounded to four decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2170a5 - 3?\nAnswer: 2170a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a factor of 648768276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.8 + -0.8. Let l be (0\/5)\/9 + -7. Put -0.08, 0.1, l, i in decreasing order.\nAnswer: i, 0.1, -0.08, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23780389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 116)\/(3\/(-10)). Is 2 - 5 - (2 - l\/5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0578 + -2.0578. What is the nearest to -0.02 in s, -0.2, 30, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -121a4?\nAnswer: -121a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s + 5*s = -17*s - 300 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 357979 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -93?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 703961?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i + 4*i + 17 - 3*i. Let d(t) = 18*t - 6 + 0*t - 6*t - 14*t. Determine 17*d(q) + 6*j(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.3. Let x = -0.18 + z. Let n = -3.02 + x. Put -5, -0.1, n in increasing order.\nAnswer: -5, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*w**2 - 9*w**3 + 19*w**2 - 1 - 3*w**3 - 2*w**3 to z*w**2 + c*w + u + t*w**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x = 0. Let v = x - -6. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (sqrt(104) - -5*(sqrt(104) - sqrt(104)*-1)))\/(-5*sqrt(128)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 16*i + 9, 1791*s - 1787*s - 280 = 3*i for s.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*u - 33324, 4*u + 7836 = 2*w - 5488. List the prime factors of w.\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**2 + 2*p**2 + p**6 + 3*p**6 wrt p.\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:12 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1719 divide 77423760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -73. Suppose 16*d + 260000 = y*d. What is d rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*g - 40, 6*g = -9*g + 2*g + 2*g + 11 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/19))**(-6)*(y*y\/((y*y**(4\/9)*y*y)\/y))\/y**(-2\/9) assuming y is positive.\nAnswer: y**(-146\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 54 = 3*s + 10, -3*r - 13 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -398 (b) 105 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 25*p - 19. Let k be u(11). Which is greater: 134 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -7*w + 8*w. Let r = -42 + w. Calculate the remainder when r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.64 + 30.9. What is m rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**6\/15 - 347*m**5\/20 + 47*m**3\/6 + m + 30. Find the second derivative of i(c) wrt c.\nAnswer: 24*c**2 - 2082*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 15. What is the greatest common factor of s and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209 divided by 6\nAnswer: 209\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 7:39 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9685 - 8234\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u + 675 = 234. Let w(b) be the first derivative of 2*b - 1\/4*b**4 - 1\/5*b**5 + b**3 - u + 5\/2*b**2. Suppose w(g) = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 6. Solve 0*d + 5*d = c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 36344?\nAnswer: -36361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1242*b - 8432 + 11912 + 10182 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 3*p**2 + p + 1. Let b be (-3)\/2*(-12)\/(-9). Give s(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 + 4*p**2 - 5 - 2*p**3 - 6*p + 2*p**2 - 3*p**2. Let t be w(-4). Suppose 2*j + 0*i - 6 = 5*i, 0 = j - 2*i - t. Solve -y = -j*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 81*y + 6. Let x be o(8). Suppose 4*u - 1262 - x = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 3. Let i(j) = -2 - 12*j + 3*j + 1. Let h(x) = -8*x - 1. Suppose 34*w - 18 = 31*w. Determine s*h(q) + w*i(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (-2*sqrt(84) - sqrt(84))\/sqrt(12) - (sqrt(70) + (sqrt(70) - ((sqrt(70) - sqrt(70)*3) + sqrt(70))) - sqrt(70))\/sqrt(10).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - (8 + 5 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v*v**(-1)\/v*v))*v*v**(1\/5)\/v*(v*v*v*v\/v**(-1\/4))**(-34))**(-9\/7) assuming v is positive.\nAnswer: v**(12897\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b**2 + b**2 + 8*b**2. Let t(g) = g**2. What is k(t(h))?\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5}. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - 0.17. Suppose 240 = -17*v + 7*v. Let x = v + 70\/3. What is the second smallest value in 4, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57257158 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 356331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 26. Suppose -27*j + 21*j = -c. Let k be (30 + -45)\/(-3*2\/j). Solve -3*z = -2*s + 9, 0 = -3*z + z - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**3 + t. Let x be m(-2). Let z be 2\/(-10) + 143586\/x. What is the second derivative of -z - 33*f + 4786 - 24*f**2 wrt f?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -8828?\nAnswer: 8820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 10.7\nAnswer: 5.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 1. Let h be m(-1). Let l be 3*2*3\/9. Suppose -5*y = 4*w - 5, 5*w - 5*y + 3 = -l. Which is the smallest value? (a) h (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 53. Let s = -47 - q. Let j = -2 - -2. Which is the closest to j? (a) 2 (b) -2\/19 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -24949 = -24949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -52, -81, -110, -139, -168?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -403.3 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/9*t + 5\/9*t**2 + 0 = 0. What is t?\nAnswer: 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 9, 0, -888?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8258443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 200 - (-8 + 7 - -4). Let c = -118 - m. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 107 = 7*r + s, 73 = 3*r + 5*s. Let b be (556\/(-140) - -4) + (-9)\/r. What is the closest to 0.4 in b, -3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Let u be 10\/(-35) + (0 - (-32)\/14). Let a(j) = -2*j**2 - j**l + 4*j**u. Let s(q) = -2*q. Determine a(s(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8360\/(-60))\/22*432\/(-5016).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.0935 rounded to one decimal place?\nAnswer: 231.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145*3094.\nAnswer: 448630","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, 39 in decreasing order.\nAnswer: 39, 5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpb when three letters picked without replacement from bbpbbbbbpbpbbbb?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -36, -3\/2, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 - 13*j**2 - 19*j - 21. Let r(o) = 2*o**3 - 6*o**2 - 10*o - 11. Let a(c) = 5*r(c) - 3*y(c). What is a(-9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132586487 to the power of 1\/2, to the nearest integer?\nAnswer: 11515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -224 (b) 2\/17 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.887 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Suppose 3*c - 5*i = 1, 0*c - c + 5 = w*i. Suppose -6 = c*f - 4*s, 0 = -f - 3*f + 5*s - 3. Calculate the remainder when 5 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*n + 7 = 0, 2*n - 11 = -17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2011*c + 44457. Suppose -514 = -5*s - 154. What is the remainder when g(22) is divided by s?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((54\/189)\/(2\/(-14)))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 + 2*x - 5)*(-3*x - 2*x + 6*x).\nAnswer: 2*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 16 = 3*o + 8, 5 = j + o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.4 (c) -195 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473169.\nAnswer: 3, 109, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-20 - (2 - 12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:25 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l - 2 = -39*l. Which is the third biggest value? (a) l (b) -12 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 + 163?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.6 (b) -0.023 (c) 0.1 (d) -0.1 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2521\/4 in 0.4, 825.8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14994*n + 2*n**2 + 7341*n + 7513*n)*(1 + 3 - 5)*(0*n - n + 0*n).\nAnswer: 2*n**3 - 140*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + d5a189?\nAnswer: d5a18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 46*w**2 - 3*w - 3. List the prime factors of h(5).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103378 * 1\nAnswer: -103378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -5) + -27 - -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 3*j**2 + 4. Let v be h(-3). Let p(x) = 5*x - 11. List the prime factors of p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4822634 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -12 + 0*s - 7\/4*s**4 + 13\/2*s**2 + 0*s**3. What is the second derivative of k(b) wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/5 - 11326*f**3\/5 + 16029116*f**2\/5 + 16063104*f\/5 - 32080896\/5 = 0.\nAnswer: -2, 1, 2832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -21*r - 1. Let a(f) = 11*f - 1. Let y(o) = -2*a(o) - d(o). Determine y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - m**2 + 0*m - 2*m - 3. Suppose 14*l = -4*j + 9*l + 116, 4*l = j - 8. Suppose -2*x - j + 36 = 0. Determine o(x).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-16))\/((-133)\/36). Let p = -3\/28 + v. Is 1 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 80*x. Let s(b) = -1. Determine -2*c(q) - 2*s(q).\nAnswer: -160*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40 or 37516\/945?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 16*o + 18. Let k be v(17). Solve 6*s + k - 1 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 53.7. Round d to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 204153*a - 39718590.\nAnswer: 3*(a - 68245)*(a + 194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6641*y**2 + 83*y**3 - 6627*y**2 + 13257*y**2.\nAnswer: 83*y**3 - 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 536154*c**2*u - 487665*c**2 wrt u.\nAnswer: 536154*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let a(y) = 48*y**2 - 36*y + 36. Let v(t) = t**2 - t + 1. Let z(h) = a(h) - 36*v(h). What is z(k(m))?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -2) + 40 + 3. Suppose -3*i - 38 = f - 2*i, 110 = -3*f - 4*i. Let m = f + s. Calculate the remainder when 8 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 4. Suppose -4*t + 49 = -2*s - s, 3*t - s = 38. Let f be i(t). What are the prime factors of ((-4 - -5)*-22)\/(4\/f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 2*p - 5. Let q(v) = -5*v**2 + 5*v - 15. Determine 11*g(l) - 4*q(l).\nAnswer: -2*l**2 + 2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - t**5 + t**4 - 4*t**5 + 0*t**5 + 4*t**5 - 3*t**5 + (-2*t**2 - 3 + 3)*(4 - 4 - 2*t**3).\nAnswer: 3*t**5 + t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 639 and 4473?\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*((sqrt(176) + -1)**2 + sqrt(176)) - ((sqrt(176) + -1*sqrt(176) + 1)*6)**2.\nAnswer: -16*sqrt(11) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 13301*i**3 - 638*i**2 + 12215*i**3 - 4 wrt i?\nAnswer: -6516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from innqjiiiqdq. What is prob of picking 2 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -1055 - 781. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x = -h + 14, x - 7 = -2*h. Let k(m) = 6*m - 94. Let v be k(16). Solve -i - h*i - 2*b - v = 0, 5*i + 3*b = -3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-44)\/121)\/2 + 1775848\/44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 129*y**2 + 491*y - 1172. Determine l(-125).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) - (8 + 1449\/(-36)). Solve -27*c + i*c + 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176361 divided by -2.\nAnswer: 176361\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 17*h + 72, -3*g + 6336*h = 6331*h - 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 374*g**2 - 16*g - 14. Let a be w(17). Suppose -2*x - 5*x - a = 0. What is x rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 2:15 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 17. Let g be (-6)\/15 - q\/(-5). Solve -p - k + 1 = -9, 0 = -g*p + 3*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 + -1 + 0 + 1. Determine p, given that f*p - p**4 - 2*p**3 - 14*p + 4*p**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2782 and 396871774?\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -662521*c**2. Let r(z) = -z**2. Give j(r(f)).\nAnswer: -662521*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 240 = 8. Is h a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u + 13. Let z(o) = 2*o + 6. Let w(h) = 3*a(h) - 7*z(h). Let i be w(-2). Solve -j - i - 7 = -3*b, 4*b + 4 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 295*c**2 + 135*c + 877. Is i(138) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v + 15 = -35*v + 195 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a milligram in micrograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, b: 2, z: 1, y: 2, p: 3, e: 1}. Give prob of picking 2 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = 3*k + 2*n, 2*n + 350 = 3*k + 3*n. What is the remainder when k is divided by ((-4)\/2 - -3)*24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = u + 4. Let p = u + 13. Suppose p - 5 = 4*s. Solve s*x - 4*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21183952 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4 - 9*y**3 - 68562*y**2 + 2943384*y - 2874816 = 0. Calculate y.\nAnswer: -168, 1, 46, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29398, 58793, 88190, 117589, 146990, 176393?\n\"Answer: r**2 + 29392*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176990 is divided by 1172?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 9) to base 16\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 2 - 9*f**2 - 9 - 2.\nAnswer: -9*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 2. Suppose 5*r + 1 = 11. Suppose r*g + g + 30 = 0. Let s = 13 + g. Calculate p(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2352879752.\nAnswer: 2, 79, 3722911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:04 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**5\/150 - c**4\/20 + 4*c**3\/15 - 12*c**2 - 13. Let b(y) be the second derivative of i(y). Factor b(h).\nAnswer: -2*(h - 1)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098*u + 591 - 83 + 144 = -446 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -60. Find p such that 25 + 20*p**3 + 34*p**3 + 14*p**5 - q*p + 2 + 51*p**4 - 5*p**5 - 78*p**2 = 0.\nAnswer: -3, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-88) + (-2)\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 309 + -219. What is the remainder when r is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*b)*(-4 + 4 + 2*b) + 7*b - 7*b - 7*b**2 + (2*b**2 - b**2 + 0*b**2)*(0 + 3 - 4) to the form c*b**2 + x + u*b and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.17 from 60.\nAnswer: 63.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -34 (b) -2\/3 (c) 6.7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = l - 11, -l + 4*k + 14 = -0*k. Suppose l*d + d - 24 = 0. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987632610 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 435*w**3 + 429*w**3 + 0*w**2.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -543048680 != -543048680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from afafaaxffa?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*z - 1. Solve r = -z + 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5022 and -56\/34317.\nAnswer: 205902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 9:05 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r - 6*r**3 - 6*r**3 + 6*r**2 + 9*r - 6*r**2.\nAnswer: -12*r**3 - 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -27*b + 34. What are the prime factors of x(-3)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 + 19*l**2 - 15*l - 3. Give g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75713879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -3)\/((-2)\/(-10)). Let q be (3\/g)\/(15\/(-75)). Calculate the common denominator of (-101)\/q*(-15)\/70 and 41\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4491880699?\nAnswer: 4491880699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*a + 192 = 145*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**3 - 9*r**2 - 6*r + 4. Let j(i) = 14*i**3 + 11*i**2 + 7*i - 4. Give -4*j(c) - 5*x(c).\nAnswer: 4*c**3 + c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 3*x**4 + 3*x**2)*(2 + 2 + 7)*(3 + 2 - 6)*(28 + 28 + 129).\nAnswer: -6105*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a factor of 17941140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -82, -142, -220, -322, -454, -622, -832?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (sqrt(396) + -1)) + sqrt(396) + sqrt(11) - (sqrt(11) - (2 + sqrt(1331) - sqrt(1331))).\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -4, -11, 3 in descending order.\nAnswer: 64, 3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v + 1. Let n(o) = 4*o**2 + 13 + 2*o**2 - 3*o - 2*o**2. Let t(y) = 5*j(y) - n(y). Let w be t(4). Solve w = 3*p - 14 - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 z when four letters picked without replacement from {z: 4, g: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 - 2. Let k(v) = v - 1. Let q be k(3). Suppose 2*d - 2*o = 6, 1 = q*d - 3*o + 2*o. Which is the smallest value? (a) i (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9) - 1)\/(86617\/(-5772) - -32 - 17).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798301969.\nAnswer: 2861, 279029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 2784.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -24) + -19 - (0 + (3 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.6 - -6. Let y = -8956342.60000008 + 8956343. Let o = l - y. What is o rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127080 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*j**4*k - j**4 + j**3 + j**2*k + 2*j**2 + 4 wrt j?\nAnswer: -1080*j*k - 24*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7*b - 12. What is the units digit of 69*((-30)\/(-9) - b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -18. Let c(j) = 4*j + 4*j - 14*j + f*j. Let i(x) = x**2 + 4*x - 4. Let u(p) = 2*p**2 + 5*p - 5. Let b(g) = 5*i(g) - 4*u(g). Determine c(b(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 4*z**2 + z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from eelewelbu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4750280 by 5.\nAnswer: -950056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -0.08, 0.07 in decreasing order.\nAnswer: 77, 0.07, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11 + 4*y**3 + 11 + 4*y**4.\nAnswer: 4*y**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/5 of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-13266)\/(-27))\/((-4)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaaalizaaaia. What is prob of picking 1 a and 1 i?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -35. Let l be ((-2 - -2) + -1)*-3. Let m be (-6)\/9 - n\/l. What is the highest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3513238 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 3*h + 3*h. Let c(w) = -1. Let b(i) = 2*i**2 + 6. Let v(x) = -b(x) - 6*c(x). Determine q(v(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2. Let s(k) = -73*k + 1056. Let b(r) = -205*r + 3169. Let v(n) = -5*b(n) + 14*s(n). Determine v(c(a)).\nAnswer: 6*a**2 - 1061","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214 (base 12) to base 11.\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 729\/(-2673) + (-2106)\/22. Which is smaller: o or -59?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 4736?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (7 - -1) - (7 + -1 - 4). What is the greatest common factor of 27 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l + 35 = -4*h, 4*l = 2*h + 16. Let b = -11 - h. Sort -3, b, 4 in decreasing order.\nAnswer: 4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340380 and 5673?\nAnswer: 340380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23007*x**2 - 3267*x**2 + 13487*x**2.\nAnswer: 33227*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-1 - 1)\/2. Suppose f = -d + 12. Let l be (2\/(-6))\/((-1)\/d). Solve l*k + 0*k = 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 24 - 51*w - 16.\nAnswer: -51*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -101545, -101546, -101547, -101548, -101549?\n\"Answer: -y - 101544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 - ((1 - 0) + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24352 or -93?\nAnswer: -24352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eypq when four letters picked without replacement from {o: 1, p: 2, q: 1, s: 1, e: 5, y: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51\/7 + 6\/(-21). Solve 3 + 6 - 4*s**2 + u*s**2 - 18*s + 18 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/18 + 2\/(-6). Let g(r) be the first derivative of 0*r - 2 - 1\/2*r**v. Let b(u) = -u**2. Determine g(b(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 3*l**3 + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.843567605 rounded to 3 decimal places?\nAnswer: -8.844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.39 + 3.39. Let p = -76 + 76.1. Which is the third smallest value? (a) p (b) w (c) 2\/9 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d + 2. Let y(a) = -6*a + 9. Let c(l) = l - 1. Let j(g) = 12*c(g) + y(g). Let h(m) = -2*j(m) - 3*w(m). Let b(z) = 2*z**2. Determine h(b(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (28 + -44 + 50).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab3b5446 - 0?\nAnswer: -ab3b5446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*o = -25, 5*y + o + o + 191 = 0. Let c = y + 77. Calculate the remainder when c is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4\/23 - 612*l**3\/23 - 25038*l**2\/23 - 69660*l\/23 = 0.\nAnswer: -258, -45, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u. Let c(j) = -j. Let z(g) = -3*g. Let m(f) = -5*c(f) + 2*z(f). Calculate -14*m(l) + 3*p(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3 + (-160)\/96.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 551.777 decades?\nAnswer: 55.1777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfwf when four letters picked without replacement from ffwffwfff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.1, -1, -119, 3, 0.08 in increasing order.\nAnswer: -119, -4, -1, 0.08, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. Let s be 119\/98 + n\/(-14). What is the nearest to 0.1 in -5, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4)*(-72)\/(-54). Suppose 2*q - 3094 - 2362 = 0. Suppose -a*z - q = -13*z. Calculate the greatest common factor of z and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -1.8.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4148 - 4127. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -227*b*c**2 + 2*b*c + 8*c**4 + 45*c - 1 wrt c.\nAnswer: -454*b + 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12226978*a**3 + 11116699*a**2 wrt a?\nAnswer: -73361868","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 15. Suppose -3*s + 0*s = 3*i - c, -s + 8 = -5*i. Suppose -5 + s = -2*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 26*m - 16*m - 3 + 25*m + 0.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**4\/8 + 59*z**3\/6 - 31*z**2. Let t be n(-21). Let j(q) = -7*q - 1. Let d(l) = -3*l. Give t*j(x) + 10*d(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 u, and 1 c when four letters picked without replacement from {u: 7, l: 1, k: 6, c: 3}.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-2 + -46))*-38. Suppose 1781 = k + 3*t - 1534, -4*k - 5*t = -13232. Let h = l + k. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492 and 3585.\nAnswer: 587940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2730.7 - -2738.7. Which is the second biggest value? (a) 63 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6672 and 128256.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -7 - 3) + 21 + -15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 24583968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41561 rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0*f**2 + 0*f**2)*(3507*f**2 - f - 6082*f**2 + 3200*f**2).\nAnswer: -625*f**4 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-5)\/(110\/11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -16*c + 132. Calculate z(-9).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 + 19*b + 12. Let m be v(7). What is the nearest to 0 in 0.5, m, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(720) + 3 - sqrt(720)) + (sqrt(720) - 5*(sqrt(720) + 1)) + sqrt(720) + 1 + sqrt(720) + 3 + (1 + sqrt(720))*-2)**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -v + 6*v + 479, 0 = -k + 5*v + 143. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + -75. Suppose l = 2*d - 9*d + 231. Let q = -16 + d. Calculate the remainder when 67 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 9*w**2 - 4*w + 6. Give h(4).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/3 (b) 0.0123 (c) 6563\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**4 + 56*d**3 + 4217*d**2 wrt d.\nAnswer: -72*d + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69717880 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.7 + 21. Let g = -22.3 + 24. Let x = g + q. What is the second smallest value in x, 4, -2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1275105000 to the nearest one million.\nAnswer: 1275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -13*t**3 - 2*t**2 + 11*t + 45. Calculate h(-3).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1\/(u*(u**(-1)*u)\/u))**(-25))**33)**(-4\/5) assuming u is positive.\nAnswer: u**660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 1938.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24238866.8 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, 166, 0, 37 in decreasing order.\nAnswer: 166, 37, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 13\/5 (b) 4 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**24*k*(((k*k*k*k**(-12))\/k*k)\/k)\/k)**(26\/7) assuming k is positive.\nAnswer: k**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 707031 and 3497?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -1, -1539, 2, -16 in increasing order.\nAnswer: -1539, -16, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/24420547?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 160, 177, 51, -15, -1\/2 in ascending order.\nAnswer: -15, -1\/2, 51, 160, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*j + 71, -6*j = -3*j + 2*q + 67. Let b = 47 + -33. Let k be b\/42 - (-13)\/j. What is the smallest value in 2, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44299.34 to the nearest one thousand.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.926 + 4.34. Let x = 0.6 + s. Round x to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -b - 0*b + 9, x = -4*b - 9. Is 26 - (-6 - x)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, 1\/670, -0.2?\nAnswer: 1\/670","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 962310 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r**3 + 8. Let f(y) be the third derivative of 3*y**6\/40 - 7*y**3\/6 - 6*y**2. Let i(b) = -3*f(b) - 4*x(b). Differentiate i(z) with respect to z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22089014.\nAnswer: 2, 43, 113, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 0.2, -57\/25 in decreasing order.\nAnswer: 40, 0.2, -57\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*p*s*x**3 + 490*p*s*x**2*y - 16*p*s*y + 7*p*x**3*y - 225*s*x**3*y - 3*s*x**2*y wrt x?\nAnswer: 204*p*s + 42*p*y - 1350*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 3)*(1 + 2*n - 1) - 3*n + 2*n + 2*n)*((0 + 0 - 1)*(5 - 3 + 5) - 3 + 3 - 2).\nAnswer: -63*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -387 - -348.2. Let p = u + 37.8. Sort p, 1\/4, 1\/14.\nAnswer: p, 1\/14, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 401*v + 10441. Calculate j(-26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 874, 1313, 1754, 2197, 2642, 3089?\nAnswer: 3538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 160.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1466178694636.01600084 + -1466178843060. Let i = w + 148424. Let k = -0.016 + i. Round k to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -3, 3, 1, -0.143?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -15. Let n(v) be the second derivative of 3*v**5\/4 - v. Let g be n(1). Solve i*o = -o + g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -13*u**5\/60 - u**4\/6 + 2*u**3\/3 + 234*u**2. Calculate x(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Let b(d) = 32 - 4*d**x + 0*d**3 - 31 + 0*d**3 + d - d**2. Suppose -2*j = -f + 3, -2*f + 0*j + j = 0. What is b(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339 - 545 + 320 + 3*j**3.\nAnswer: 3*j**3 + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -147? (a) 4 (b) 2 (c) -0.3 (d) -1915\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*f = -53, 0*i + f = 3*i - 48. Let x = 11 + 22. What is the remainder when x is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-1)\/1) - -4. Suppose 8*x = -11*x. Suppose o*f - 1027 - 1318 = x. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1922299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16413167535 less than -9?\nAnswer: 16413167526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4207\/187 - 1\/374. What is the common denominator of 101\/8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106182 and 2754?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 461.\nAnswer: 7\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o + 15. Let s be x(-11). Let d = s - -67. Suppose z - 8 = -d. Solve 0 = -4*k - 2*q + 2, 2*k - 4*q = -z*k - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 7*g**2 - 5*g + 11. Determine c(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 26 = 2*c, -78*c - 4039*f - 1414 = -4041*f for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227931658 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-88))\/((-45)\/(-27))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**46*w**(3\/11))\/((w**6*w)\/w**(-37)))**27 assuming w is positive.\nAnswer: w**(675\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*b**6 - 3*b**4 - 21*b**3 - 18806*b**2 wrt b.\nAnswer: 2040*b**3 - 72*b - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 7, -78, 5 in increasing order.\nAnswer: -78, 2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (18 - (2 - -2))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60714069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/479934 and -163\/5148?\nAnswer: 10558548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 580741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 33*f - 1771. What is t(-67)?\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 7*z - 12. Let v = -15 + 20. Sort v, 4, z, -1 in increasing order.\nAnswer: z, -1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - q**3 - q**3)*(876*q + 1537*q + 1300*q) - 3 + 3 + 2*q**4.\nAnswer: -7424*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -33. Let l(h) = 3 - j - 4*h + 2*h**2 + 2*h. Determine l(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -200, -249, -298, -347?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 10 + 20 = 0, -3*w = -5*m - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6168, 12316, 18438, 24522, 30556, 36528, 42426?\nAnswer: 48238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483 and 462.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = 5*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 62. Let f = 2 - 2.2. Let p = f - -0.3. What is the closest to p in 0.3, -1, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.740041 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37864 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 279629 = 115225. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215524129\/212 - (-7)\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**5 + 95*u**4 - 595*u**3 + 1225*u**2 = 0.\nAnswer: 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1613517, -1613524, -1613529, -1613526, -1613509, -1613472, -1613409?\n\"Answer: o**3 - 5*o**2 + o - 1613514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2412129?\nAnswer: 3, 804043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 851654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k**2 - 14*k - 22. Let p(z) = -5*z**2 + 7*z + 11. Let a(c) = 7*p(c) + 4*y(c). Give a(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 9) in base 3?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 0.37, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 1. Let b(r) = -r - 1. Let n(z) = 4*z - 7. Let i(k) = -5*b(k) + n(k). Give 6*i(s) - 11*j(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 52. Which is the nearest to 0.03? (a) 5 (b) p (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6028537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {s: 3, p: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-174)\/(-15) - (-7 + 19))*-1600 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432102142 (base 5) to base 7\nAnswer: 21365534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33021 divided by -9?\nAnswer: -3669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/56 and 74\/20502447.\nAnswer: 164019576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -14*v**2 + 112*v + 463. Calculate y(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/1157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/(-112)*(-9)\/(-36).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 35, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b**2 - 17*b - 14. Let c(n) be the third derivative of n**5\/12 + n**4\/4 + 5*n**3\/6 + 8*n**2. Give -17*c(m) - 6*z(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 7, -20\/241, 2\/5?\nAnswer: -20\/241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002173 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-64)*4*170\/(-17)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 10001011011011001011?\nAnswer: 10001011011011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 79368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 901 + -400. What is the remainder when a is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43926*t**2 + 612*t + 10?\nAnswer: -87852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5091642263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -888, -1775, -2652, -3519, -4376?\n\"Answer: 5*s**2 - 902*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*p - 15, 5*c + 0 = 5*p + 15. Suppose p = -2*n + 5 + 1. Suppose 0 = 4*h, -n*h - 2*h = 4*w - 132. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -16. Let f = 0.239 - 0.2. Let u = f - 3.039. Which is the second biggest value? (a) v (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 1352*q - 2688.\nAnswer: -4*(q + 2)*(q + 336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y + 1. Let l(v) = -2*v**3 + 3*v**2 + 10*v + 7. Let b be -1 + 4 - 3\/(-1). Let z(a) = b*p(a) - l(a). Is z(-3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -122. Let r(u) = 5*u + 1. Let s be r(-5). Let w = x - s. Solve -3*f + 4*n = 13, 4*f - 3*f + 5*n = w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2422492489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-8 + 0 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/84 and -25\/924.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 796*k + 10752.\nAnswer: 2*(k + 14)*(k + 384)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28336165 and 6721?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78105, -156196, -234287?\nAnswer: -312378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*24\/(-602)*1547\/442?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81257, -162513, -243769, -325025?\nAnswer: -406281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbkk when four letters picked without replacement from bbbbknnnkkskkbkbbn?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -11.\nAnswer: -11, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20.5, -3\/7, 3\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(16\/(-720)) - -5\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*m - 2*m + 776, -2*m + 772 = 2*j. What is the least common multiple of (1 + 27\/(-21))\/(-3 + (-287)\/(-98)) and j?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/7 (b) 0.4 (c) -182 (d) 0.04342\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1355200 to the nearest ten thousand.\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 64. Let s(m) = m - 18. Let w be s(14). Let g be ((0\/(-3))\/w)\/1. What are the prime factors of a(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.9 + 7.7. Let y = -1 - 3. Let f = -1\/214 - 419\/1926. Which is the nearest to 0.1? (a) f (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -347, -695, -1043?\n\"Answer: -348*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - w - 1. Let j(o) = o**2 + 3*o + 64. Determine -3*h(a) - j(a).\nAnswer: 2*a**2 - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3 - f - 11 + 2*f. Let j be x(7). Let g(p) = 2*p + 1. What is g(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 13*p**2 - p + 12. Let y be v(13). Let u be ((-5)\/10 - y) + -2. Is u bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35\/97 (b) -1\/4 (c) -1 (d) -3 (e) 0.3 (f) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9*w = -1438, 3*z + 2*w = -3*w + 4154. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1504 and 3836657?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43799, -86822, -129851, -172886, -215927?\nAnswer: -258974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80607568, 80607566, 80607564, 80607562?\n\"Answer: -2*d + 80607570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194387*h**3 + h**2 + 16387*h + 2 wrt h?\nAnswer: 1166322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x - 4. Which is smaller: x or 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*sqrt(147) + 0 + ((2*sqrt(972))\/(sqrt(400)*1 - sqrt(4)))**2.\nAnswer: -14*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193.2 + -180. Put 0.3, p, 4\/5, -0.1 in descending order.\nAnswer: p, 4\/5, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5911 + 12809 = 15*x. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356 divided by 678?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d - 1133 = 1172 - 1696 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c + 35. Let b be a(-16). Let d = -5 - -2. Calculate the least common multiple of (d - -2) + 2 - b and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 9:13 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 80 + 10. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1127 divide 1065401354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c1239 - -4?\nAnswer: c123d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - (4 + 2)) + 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 i, and 2 w when four letters picked without replacement from wwiooeniwiieeewoeoo?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 1 f when three letters picked without replacement from kkkxpfkkkxxk.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/60 - 2*l**2. Let g(d) = -d**2 - 3*d + 5. Let w be g(-5). Let z(u) = -7*u**2 + 1. Calculate w*j(y) - z(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 782 - 426. Is (b\/16)\/((-1)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4 - -4) + -12)*(-6)\/8. Put 2, 0, -3, i in ascending order.\nAnswer: -3, 0, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*v + 3*n, 24 + 24 = -4*v - 4*n. Let y(z) = -51*z + 98. What is the tens digit of y(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.168 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 - 5*r + 7. Let x(z) = -7*z**2 + 4*z - 6. Let f(j) = 5*c(j) + 6*x(j). Let q(i) = -20*i**2 - 3*i - 3. Determine 17*f(d) - 6*q(d).\nAnswer: d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 716.\nAnswer: -143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**3 + 24*c**2 + 36*c + 72. Let l(u) = 8*u**3 - 24*u**2 - 37*u - 73. Let r(a) = 2*l(a) + 3*s(a). Let k be r(-25). Round k to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 + 11*a. What is the units digit of l(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((20 - 20)\/(-13))\/9. Let u(s) be the third derivative of y*s**3 - 25*s**2 + 0*s + 0 + 1\/20*s**5 + 0*s**4. Let l(p) = p. Determine l(u(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 137260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10457, 10458, 10459, 10460, 10461, 10462?\nAnswer: 10463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -964, -7546, -25452, -60352, -117916, -203814, -323716?\nAnswer: -483292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 814.9297 + 0.0703. Let d = j - 814. What is the nearest to d in -2\/11, 3.1, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54933 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -3*h - 3*x + 4, h - 5*x = -2. Suppose -h*b - 22 = -67. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) -0.6 (c) -2\/1583\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 9*i**2 - 2*i - 9. Let f be a(-9). Let z = f - 6. Factor 2*g**z + 6*g - g**4 - g**4 - 8*g**3 + g**2 - 3*g**2 + 4.\nAnswer: -2*(g - 1)*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 + t**3 - 7 + 15*t**2 + 4*t**2 + 6*t. Is g(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-2)\/(-4))\/((-4)\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 8*l - 7. Let x be w(6). Suppose 41 = x*b + 2*d + 11, b - 4*d = -16. What is the least common multiple of 18 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000 + 101111111?\nAnswer: 111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 2*r - 15, -51*r = 2*o - 46*r + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3532685 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 5 + -10 - (-1 + -1 + -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467181960686 less than -3?\nAnswer: -467181960689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7408302049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16618 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-8)\/(-6))*(-22)\/(-99).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 3*v + 5, 19*p = 15*p + 5*v - 33 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-6 - -2) - (-64 - (37 - 98))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -3*m - 28, 6*t + 3 - 38 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135.5 - 135.1. What is the closest to 0.2 in p, -3\/2, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 3*z**2 + z + 1. Determine r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4082 and -44\/2041?\nAnswer: 4082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-3 + -3 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/148666 and 59\/2849.\nAnswer: 1635326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/13 + 51928740*w**2\/13 - 155786234*w\/13 + 103857492\/13 = 0. Calculate w.\nAnswer: -25964373, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220, -477, -750, -1039, -1344, -1665, -2002?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a**2 - a + 4. Let b(n) = -n**3 - 9*n**2 + 9*n - 15. Let u be b(-10). Let d be o(u). Let v = -154 - d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r**7 + 0*r**4 + 0*r + 0*r**3 + 0 - 1\/56*r**8 - 7*r**2 + 7\/60*r**5 + 0*r**6. Find the third derivative of q(m) wrt m.\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {c: 2, u: 1, k: 4, t: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) - -1*sqrt(2430)*4)\/((sqrt(864) - (sqrt(864) + (sqrt(864) - -2*sqrt(864))))*-3 - sqrt(864)).\nAnswer: 15*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5cadbd (base 14) to base 5.\nAnswer: -1303232032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76408990.\nAnswer: 2, 5, 7, 23, 47459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z + 5 - 5 - 9*z)*(-3 + 4 + 4)*(-9*z**2 - z**2 + 3*z**2 - 8).\nAnswer: -140*z**3 - 160*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 23*d**2 + 8*d + 183. Let l be k(-23). Let r(v) = 138*v - 306*v - 385*v + 4. Is r(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 9 = 0, 5*x - v - 1641 = -1644 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/(-3 - -15) - (-2 + -2772) is divided by 922.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11852693 - 8180693. Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(y + y - 5*y) + 5*y + 8 - 8)*(-4 + 2 + 4).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**5\/d)\/(d**(2\/9)\/d))\/(((d**(-5)*d)\/d)\/(d*d**(-2\/7))))**45 assuming d is positive.\nAnswer: d**(3305\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**3 - f**2 + 5*f - 3. Let p be q(3). Suppose 0 = 5*z - 3*a - 186, -4*z + 0*z + p = 3*a. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.06538?\nAnswer: 0.03269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eef when three letters picked without replacement from fefffeffeff?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5 = 2*m, 1370*m - 1368*m + 4*t = -22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 684030 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = 2*c - 14, 2*c + 4*v = 12. Let f(x) = 2*x**2 + 52*x - 128. Let m be f(-28). Put -3, c, m in increasing order.\nAnswer: m, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**5\/5 - h**3 - 3*h**2\/2 + 116. What is the second derivative of y(o) wrt o?\nAnswer: 12*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 minutes after 7:03 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Product of 8.3 and 1.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -66. Let y = -4 + m. What is the second derivative of -2*j**2 + y*j**2 + 3*j**2 + 5*j - 8*j**2 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -9*u + 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.07, 5, -9, 4, -5, 30.\nAnswer: -9, -5, -2.07, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212 - -212. Let a = 1245\/201314 + -1\/1054. Let c = -2488\/955 + a. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(((c**19*c)\/c)\/c*c)))\/((c*c**(5\/9))\/c)*(c**42\/c)\/c**17 assuming c is positive.\nAnswer: c**(382\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742909264?\nAnswer: 2, 1321, 35149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/35)\/1*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*z - 109, -t - 4*z = -4*t + 87. Solve 5*g - t = -b, -3*g - 4*b = -8 - 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 325.1574.\nAnswer: -326.1574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26554804*l + 0 + 0 - 26554802*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*d - 30. Sort -5\/4, -3, d in increasing order.\nAnswer: d, -3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + sqrt(448)*3 + -4 + sqrt(448))**2.\nAnswer: -320*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*s + 14, 3*s + 7 = -2. Is ((-6)\/w)\/(48\/(-3776)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 819 = -87*v + 22*v. Sort 1, v, 4, 2, 25 in descending order.\nAnswer: 25, v, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 + 7*h + 12. Let i be t(-2). Let r = 9 + -3. Solve 4 = i*f - r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4}. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let c be -280 - 1\/(d\/(-4)). Is 2\/3 + c\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5)*x)**(-49)*x**(1\/4)\/x*(x\/((x\/(x\/(x\/(x**(-3)\/x)))*x)\/x))\/x)**(-3\/19) assuming x is positive.\nAnswer: x**(4461\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = 5*k - 2*c, -3*k - c = -4*k - 68. Let v = k - -1886\/27. Sort -0.2, 5, v, -0.5.\nAnswer: -0.5, -0.2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(3 - (-2 - (-51)\/12)). Let f(v) = -2*v**3 + 3*v**2 - 6*v + 3. Let j(x) = 3*x**3 - 2*x**2 + 6*x - 1. Let y(l) = o*j(l) + 4*f(l). Calculate y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-695)\/33 - (710 - 689)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*f - 876*f + 484*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2 - 3 - -9*322\/1863?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4907246, 9814492, 14721738?\nAnswer: 19628984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -458728.223 and -0.7.\nAnswer: -458728.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1102814, 1102811, 1102794, 1102757, 1102694, 1102599, 1102466?\nAnswer: 1102289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2*z + 14, -8 = -4*z - 24. Let h(g) = g**u + 5*g - 10*g**2 - 2 + 22*g**2 + 15 + 6*g. Let a be h(-10). Round a to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 - 248*f + 4. Let u(s) = -4*s**2 - 3*s - 2. Give n(k) + 3*u(k).\nAnswer: -6*k**2 - 257*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a factor of 301931280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:44 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 38. Suppose y*h = 4*g + 190, 3*g = 3*h + 2*g - 275. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1270.4094 to one decimal place.\nAnswer: -1270.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 309*s - 47. Let o(w) = w**2 + 1783*w - 1. What is o(y(z))?\nAnswer: 95481*z**2 + 521901*z - 81593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9409*v. Let o(t) = -t - 9. Give j(o(m)).\nAnswer: 9409*m + 84681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-10))\/(2\/(-5)). Let s = i - -1. Solve -2*p = 2*p - s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u - 1. Let n be o(-5). Let t = n + -10. Let v = t - -46. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1520*f + 2360*f + 95344 = -246096 for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 51 = -2*o, 22*r + 48 - 246 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13115\/4 or -3279?\nAnswer: -13115\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8709705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -2*r - 4*w + 4, -5*w = -r - 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241722*c**3 + 100800*c**2 - c wrt c.\nAnswer: 1450332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42897 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 4. Let z be o(3). Suppose -4*h + 1 = -19. Solve 3*b = -3*v + 18, 3*v - 3*b = z + h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-77)\/63)\/11)\/((-13)\/(-312)*8)*8.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, y: 1, g: 1, v: 2, j: 4, m: 3}. What is prob of picking 2 j, 1 p, and 1 v?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:04 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, -3.9, 4, 1\/8 in increasing order.\nAnswer: -3.9, 1\/8, 7\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-1 - 8\/2). Suppose k + 3*c + 0 = 9, -p*c - 2 = -4*k. Let l = k + 1. What is the highest common divisor of l and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2\/3 + 4\/3*m - 2\/3*m**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2985 and -2.\nAnswer: -2987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1011333120?\nAnswer: 1011333120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5130*v + 15393*v = -8*r + 5132*v + 5126*v - 28, 8*r = 5*v + 92 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 259, 106 in decreasing order.\nAnswer: 259, 106, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1180, 2367, 3554, 4741, 5928, 7115?\n\"Answer: 1187*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 14) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00069969582 rounded to 5 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 47*s - 586. Determine d(-28).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 7631.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -11*u**4 - u**2 + 166*u - 29. Differentiate a(k) with respect to k.\nAnswer: -132*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = p + 1, 16*p + 2*w + 13 = 13*p. Put 0, 4, 200, p in descending order.\nAnswer: 200, 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2098176558 to the nearest 100000.\nAnswer: -2098200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3 + 3*r + 2 + 5. Let u(b) = -b - 1. Let n(w) = -2*f(w) - 7*u(w). Let q be n(7). Solve -3*l = -2*t - 6, 3*l - t + 0*t = q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = 4*p - 22, 14 = 2*u + 2*p. Is 4 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 12 = -3*x + 9, 14 = -3*g + 4*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-993)\/378 - (-196)\/126)*-7. Factor b*g**2 - 10\/3 - 40\/3*g.\nAnswer: 5*(g - 2)*(9*g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 - 2639 = -71*p for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - -15) + (-32 + -253 - -191)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*g - 22, -101 = -4*n - 15*g + 16*g. Solve n = -13*b + 8*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/44 and 101\/4664.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000110236 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6343.\nAnswer: 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2111703 + -5?\nAnswer: -2111708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -15789.\nAnswer: -15788.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 80536991 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: How many milliseconds are there in 2\/125 of a minute?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/(-2)*(-31 - -29). Let r = p + -24. What is the tens digit of r*19*36\/27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/5)\/j)**(-5\/7) assuming j is positive.\nAnswer: j**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.838 - 0.07842936.\nAnswer: 22.75957064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -2)*(-3)\/2. Suppose z = -2*o + 9, -4*o + n*o + 5*z = -21. Let k = 7 - o. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-3)\/(-204)*-2. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 4. Suppose -r*i - 178 = 2*o, -395 - 34 = 5*i + o. What is the units digit of i\/(-15) + (-2)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545292 divided by 636323?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 358589.\nAnswer: 358589.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*b = 11 + 56, 2*b = 4*u - 50 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 - 101110011011001110?\nAnswer: -101110011100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2980 + 5963\/2. Factor 0*d**4 + o*d**3 + 0*d - 3\/2*d**5 + 0*d**2 + 0.\nAnswer: -3*d**3*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1125 - -1628. Suppose -7*v = -b - 456. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/12 + 2*m**3\/3 + 5*m**2\/2 + 39*m. What is i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24014 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: Let u(t) = 6*t - 5. Let v(q) = 49*q**3 + q**2 - 4*q + 4. What is the smallest common multiple of u(5) and v(1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -13*y - 102. Give b(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Suppose c = -4*c. Suppose 0 = -3*y - c*y + 24. Let q be g(y). What is the highest common divisor of 32 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -44 + 47 + 134 - 12472*l**2 + 12474*l**2. Let d(j) = 15*j. Calculate d(n(m)).\nAnswer: 60*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 5*j + 5*x = 23, 3*j - 3*x + 30 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331217 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 47*y - 42*y, 5*v = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-139 - -179) + (4 - 26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44517 and 1.2.\nAnswer: -53420.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Let i be a(-11). Let u(v) = i*v - 7*v + 1 + 7*v. Calculate u(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5808\/(-968))\/(6\/17).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 48 = -3*t. Suppose -24 - t = -5*i. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163 - -171. Calculate the common denominator of t\/30*1820\/78 and 41\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (37 - 0) - (-90)\/63*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368234*u**3 - 21 + 26 - 5.\nAnswer: 368234*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 + 15cb21?\nAnswer: 15cb06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 24226116*l - 440178522334092.\nAnswer: -(l + 36339174)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 825, 6749, 22839, 54177, 105845, 182925, 290499?\n\"Answer: 847*l**3 + l**2 - 8*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfkk when four letters picked without replacement from kkjfjfkfk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74681747537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x + 20. Calculate the remainder when r(6) is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17883 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2995068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2748577 + 1550197847\/564. Let k = m - -1\/141. What is the smallest value in 4, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 1. Let v(u) = -u + 1. Let l(x) = -r(x) - 3*v(x). Let w(g) = g**2 + 7*g + 2. Let j be w(-6). What is l(j)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249344.2 times 2\nAnswer: -498688.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 41*j**2. Let g(w) = 15*w. Determine m(g(n)).\nAnswer: 9225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 10*t - 8. Determine b(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*z**2 + 642 + 638 - 1280 - 495*z**2.\nAnswer: -138*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 23 + 1. Let h(o) = 7*o + 2. Let m(s) = 8*s + 2. Give g*h(d) + 5*m(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -104, -102, -100, -98?\n\"Answer: 2*l - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-2)\/(-1)) + 11. Suppose -4*b - 3 + 9 = 5*w, -4*w - 4 = b. Suppose 4*q + x = 2*i - 3, b*q + 16 = 5*i. Solve i = 2*v + 2*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:46 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -28*g**3 + 5*g**2 - 3*g + 8. Let o(z) = -57*z**3 + 9*z**2 - 5*z + 15. Let c(p) = 3*o(p) - 5*t(p). What is the third derivative of c(m) wrt m?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.082 and -351.25854.\nAnswer: -351.17654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.277 - -855.723. Let g = -857.4 + j. Let s = -1.9 + -0.1. Which is the second smallest value? (a) g (b) s (c) 2\/7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**2\/2 + 5*r + 5. What are the prime factors of n(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-6\/5)\/a))\/(((a**(-7\/6)*a*a)\/a)\/a*a) assuming a is positive.\nAnswer: a**(101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c - 10. Let r(q) = -5*q + 3. Let x(t) = -7*r(t) - 2*z(t). Let d be x(2). Suppose -d = -y + 2. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5\/((-125)\/20)*(-29)\/(-1624)*-175)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15, 8, 666, -23 in descending order.\nAnswer: 666, 15, 8, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12234.1 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 + 3*j**4 - j**4)*(-1 - j - j - 6*j).\nAnswer: 8*j**5 + j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 15 + 50 = 5*v, 0 = 4*u - 2*v + 58. Let b = u - -58. Let f = -38 + b. What is the second smallest value in f, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - c**2 - c + 1. Let p be y(0). Let h(a) = a**2 + 1. Let w be h(p). Suppose -3*v - 1 = w*g, -2*g - 30 = g - 5*v. Sort g, -1\/2, 6.\nAnswer: g, -1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s + 21*s - 9*s. Let y = 4 - -2. Let m(x) = y*x - 2*x - 2*x. Determine m(f(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*u + 522*u = 2240. Solve 4*l - 20 = 0, 323*h - u*h = l + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 23*c + 20 = 3*o, 24 = c + 5*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = 11*g - 47*g + 105. Suppose 0 = -4*u - 0*u + 116. Suppose -u + 11 = -3*l. Which is greater: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1224828150 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/252498 and -97\/6312450.\nAnswer: 6312450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85.8 - -86. Let y = 5.6 - 6. Let g = -30.5 - -31. What is the nearest to 0.3 in y, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.103967683 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1\/9, -5, 0.26 in decreasing order.\nAnswer: 0.26, -1\/9, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/c**(-2\/17))**(-28) assuming c is positive.\nAnswer: c**(-1008\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -59, -99, -139, -179, -219?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 985 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 3345?\nAnswer: -1\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 0 - (-4)\/(-2). Suppose -b*f + f = 0, 0 = -2*y - f. Suppose 7*g + 7 = -y. Is -3 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 872 - 16*j + j**3 - 2*j**2 + j**3 - 28*j - 872 as s*j + c*j**2 + o + f*j**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12045 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 589600 to the nearest 10000.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 12*d**2 - 18*d + 7. Is 21 a factor of m(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/20 and 0 - (-1)\/(-6) - 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(28\/8)*-1. Let z(o) = -o**3 - 4*o**2 + 8*o - 1. Let g be z(-6). What is the second derivative of 3*h**3 - g*h**b + 23*h**2 + 3*h wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -622*p. Let t(x) = -6*x + 5. Suppose -10 = c - 4*f, 11*c - 8*c + 4*f + 14 = 0. Let q(d) = 7*d - 6. Let w(i) = c*t(i) - 5*q(i). Determine w(n(o)).\nAnswer: -622*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 4*c + 3. Let t be k(-5). Let i be t\/(4\/(-10)) + -1. Suppose 883 = i*g + 119. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 40980 to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193341762.\nAnswer: 2, 3, 3580403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 989 and 77069803?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:08 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:32 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f**2 + f + 1. Let v be i(-1). Let u = v - 17. Which is the biggest value? (a) -0.2 (b) 3\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12211 - 2010210?\nAnswer: -2100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/51)\/((6\/(-3))\/4)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.9024887 to the nearest integer.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3383765 nanograms to micrograms.\nAnswer: 0.0003383765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**7\/840 + w**6\/160 + w**5\/120 + 9*w**2\/2 + 10*w. Let q(h) be the first derivative of o(h). Find u, given that q(u) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86633\/97980 + -4\/1065. Find the common denominator of 65\/22 and a.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(2\/(-4)). Let b be 0\/3 + 0\/1. Suppose -5*n - 20 = w, -3*n + 0*n - 3*w = b. Put k, 2, n in descending order.\nAnswer: k, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1598366*k**4 + 100358*k**2 - k - 2 wrt k.\nAnswer: 38360784*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2\/3)\/g))**(-45) assuming g is positive.\nAnswer: g**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1727b791 + 2?\nAnswer: 1727b793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(0 - 1 + 2)*(-6*c**4 + 79 - 79).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7830\/(-60)*2\/3. Is o less than or equal to -972\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1850 + -1350. Calculate the highest common divisor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1872) - (sqrt(1872) + 3 + sqrt(1872) + 2)))**2.\nAnswer: 240*sqrt(13) + 1972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eywyhepyzyeh. What is prob of picking 1 p and 1 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 6. Let o(p) = 7*p. Let z be o(9). Let s = z - j. Calculate the remainder when s is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**2 + 8*y**2 - y**2 to the form n*y**2 + s*y + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 - 2)*(-2*i**2 - 2*i**2 + 5*i**2).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4971, -1, -282, -5 in ascending order.\nAnswer: -282, -5, -1, 4971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1292671, -4, 3\/10 in descending order.\nAnswer: 3\/10, -4, -1292671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 47*l - 244. Let g be j(-41). Let r = -2 + 1.5. Let h = 295\/1368 - -1\/152. What is the third biggest value in 0.1, h, g, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let x = p + 1. Let h(s) = s**2 + 5*s - 4. Let n be h(-6). Sort -1\/2, n, x in ascending order.\nAnswer: -1\/2, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*c**6 - 86*c**4 + 11*c**3 + 30098*c**2 - 36*c.\nAnswer: -6360*c**3 - 2064*c + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*l*t - 10516537*l - 178852*t with respect to t.\nAnswer: -9*l - 178852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 5:45 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 + 17 + (-79 - -123)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 9*h + 84. Let o be 0 + -2 + (-22)\/h. Let c = -0.4 - -0.2. What is the third biggest value in o, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let f(v) = 4*v**2 - 6*v + 4. Let p(g) = f(g) + 3*s(g). List the prime factors of p(-7).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 17 = -k, -r = k + 2*k - 14. Find the second derivative of -7*n + 10*n**2 - r*n + n + 0*n wrt n.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 12.2, -3, 2\/141, 50?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -18, -20, -22, -24?\n\"Answer: -2*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1023363579, 1023363585, 1023363593, 1023363603?\nAnswer: 1023363615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 3*p - 6, 16*j - 13*j - 26 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6415468475.\nAnswer: 5, 13, 53, 372451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3 - (374\/(-33))\/(-34)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.065? (a) -2\/17 (b) -1\/40 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1560 and 1748?\nAnswer: 681720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*q - 6*q - 4 = 0, -4 = -5*c - 2*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11312 and -2231.49.\nAnswer: 9080.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 949 and 16443\/252 + (0 - -1)*(-4)\/16?\nAnswer: 4745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**0)\/i)**(3\/5))**(2\/5)\/((i\/(i\/(i*i\/i**(-1\/4)*i))*(i*(i\/(i*i**(8\/7)*i))\/i*i)\/i)\/((i\/(i**(-2\/7)\/i))\/i)**(8\/7)) assuming i is positive.\nAnswer: i**(71\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120853926 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 918\/(-21) + 8288\/(-3626)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103785564 divided by -6.\nAnswer: -17297594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/((a*a*a\/a**40*a)\/a))\/a)\/a*a*a)\/(a\/(a\/((a**(-4\/3)\/a*a*a)\/a)))*(a\/a**(-2\/77))**46)**(-2\/3) assuming a is positive.\nAnswer: a**(-39976\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/2)\/2)\/((-1428)\/7854)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2. Let h(q) = -9*q + 2. Let o be h(0). Let r(y) = -11*y**2 - 13*y**o + 1946 - 1946. What is r(v(a))?\nAnswer: -384*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g + 60*g + 2*b - 1260 = 0, 2*g - 3*b - 614 = 0. Calculate the remainder when g is divided by 153.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 + 646\/2. Suppose -3*l - 10 = -13*l + 75 + 55. What is the highest common factor of l and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p + 0 - 9\/70*p**5 - 1\/21*p**3 - 1\/7*p**4 + 0*p**2 - 4\/105*p**6. Let o(d) = 0. Calculate d.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 22946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35860 times 0.1?\nAnswer: -3586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 276, 0.1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1592397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -307 + 3?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3)*4\/84)\/((-93)\/558)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3631 - -3637. Solve -r = 151*l - 150*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -9\/4*s - 9 - 3\/4*s**2 + 1\/4*s**3. Let c(p) = 0. What is p?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34481\/20 + -1720. Calculate the common denominator of 2\/25 and g.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -21. Sort -69, n, -3 in ascending order.\nAnswer: -69, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -230*p*q*w**3 + 240702*p*q + 46*p*w**3 + 1766744*p*w**2 wrt q?\nAnswer: -230*p*w**3 + 240702*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d - 68*d + 0 + 38*d + 0 + 4*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-12)\/15)*(-2460)\/(-42). Suppose -2*g - 119 = 2*b + 3*b, b + 146 = -3*g. Let t = g - o. Sort -2.5, -3, t in decreasing order.\nAnswer: t, -2.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79373 divided by 5\nAnswer: 79373\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {q: 3, z: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 + 2 = -2*t, -15 = 5*t - 5*f. Solve 16 + 1 = -3*m - 4*j, -5*j - 27 = -t*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + v**5 - 4*v**5 + (-v**3 - 4*v**3 - v**3)*(-8*v**2 + v**2 + 0*v**2).\nAnswer: 40*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6939949072 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/14 - 270\/70. Let o = 23 - 20. Sort o, p, 1 in descending order.\nAnswer: o, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 64 = -35. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*x - 28, -2*y + 6*y - 3*x = 4. Solve -5*g - 2 = -y*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256*g**4*o - 81*g**4 - 2*g**2*o - 649*g*o - 1 wrt g.\nAnswer: -6144*g*o - 1944*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = 0, -t - 48 = 2*z - 3*t. Let d = 24 - 81. Let y = z - d. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 0*o + 0*o - 2 + (15 - 15 + 5*o)*(3*o**3 - 11*o - 2*o**3 - 2*o).\nAnswer: 3*o**4 - 65*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*c + 23. Suppose -r + 10 = -c*r, 0 = -2*l - 4*r - 484. Let t = 439 + l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*b - 520 - 2805 = 636 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -774 by 129.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 486446297 to the power of 1\/3, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*w**2 + 5*w**3 + 58*w**2 + 4*w**3.\nAnswer: 9*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-252))\/5 - (-16)\/56.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6891 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5425490889 a multiple of 2457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (3*sqrt(162) + -3 + sqrt(162)))**2 + 1*sqrt(32) + ((-1*sqrt(12))\/sqrt(6))**2.\nAnswer: -158*sqrt(2) + 1469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.7 - 6.3. Which is the second smallest value? (a) v (b) -2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 15) to base 2.\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/176072 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.1664128 rounded to one decimal place?\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-6)\/(-20))\/((-33)\/22)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**7\/1050 - u**6\/200 - u**5\/100 - u**4\/120 - 8*u**2. Factor l(z).\nAnswer: -z*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = -x, -3*k + 2*x = -2*k - 2. What is the common denominator of 45 and (-330)\/(-24) + k + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**2*m*q - c**2*q - 258*c*m*q**2 - c*q**2 + 1358*q**2 wrt m.\nAnswer: -5*c**2*q - 258*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - q - 4*y - 386, 0 = y + 3. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 782 = -i + 798, 2*x - 8*i = -8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6585 = 322*r + 1553 + 234 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-6 - 0) + -4 - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -4, -457, 90, 0 in descending order.\nAnswer: 90, 0, -4, -33, -457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -16. Suppose y + 0*y - a = 0. Suppose 0 = y*x + 8 - 82. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -581*w - 6682. Let f(q) = 218*q + 2227. What is -8*f(d) - 3*z(d)?\nAnswer: -d + 2230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 82 = b. Suppose -703*z = -1055*z + 2816. What is the greatest common divisor of z and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccycc. What is prob of picking 1 c and 1 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - x - 214. Let b be t(0). What is the remainder when b\/(-9) - 8\/(-36) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(637))**2 + 5 - sqrt(637)) + ((-1 + sqrt(637) + -4)**2 - sqrt(637)) + -4*(sqrt(637) + 5 + -1*sqrt(637))**2 + 0.\nAnswer: -56*sqrt(13) + 1208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 36*t**5 + 196*t**4 + 368*t**3 + 272*t**2 + 64*t = 0.\nAnswer: -2, -1, -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8178 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079899053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.5, 1, 8, -132.35, -2\/9, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + k - 2 + 3 = 0, -h + 5*k = 16. Let x(t) = t**3 - 2*t + 2. Let o(g) = -g**3 + g - 1. Give h*x(q) - 2*o(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(272)*3)**2.\nAnswer: 12240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 51656325 (base 8) to base 14\nAnswer: 1657285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773588 is divided by 40711.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -137094180 rounded to the nearest one hundred thousand?\nAnswer: -137100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 16, 4, -24, -74, -152?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 208 + -87. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**(-10\/7)\/(((v*(v*v**4)\/v*v)\/v)\/(v\/(v\/(v\/v**(6\/5))*v))) assuming v is positive.\nAnswer: v**(-192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14590 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10669, -10600, -10491, -10348, -10177, -9984, -9775?\n\"Answer: -k**3 + 26*k**2 - 2*k - 10692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -472214.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/10152 and 7\/12408.\nAnswer: 111672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (3 + -4 + 0)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3469*-55.4.\nAnswer: -192182.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 0.16\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.339997964 - 2.34. Round h to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 9 - 6\/8)*4. Suppose u + x + 35 = 3*k, -5*k + 100 = 5*u. Suppose -k*m = -22*m. Which is smaller: 16 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 5, 75, -4, 0, 2 in decreasing order.\nAnswer: 75, 5, 2, 0, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 10*k**4 - 77 - 2*k**3 + 75 - 3*k**4 to v*k + i*k**4 + l + u*k**2 + y*k**3 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 3. Let b(v) = 1. Let w(k) = 5*b(k) + 2*z(k). Let j = -12 - -10. What is w(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 534289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 5. Let t be k(-5). Suppose t*a - a = -4. Factor 7*q**a + q**5 - q**3 - 9*q**4 + 2*q**4.\nAnswer: q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 623900.8 * 0.08.\nAnswer: 49912.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 3\/4, 20\/33?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 14*o**2 - 2*o - 24. Let x be d(5). Is (-172)\/1*x\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 2*u**2 - 1. Let h be 3\/2*2*1. What is the units digit of r(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69596513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124 - o**4 + o**2 - 3*o**3 + 3*o**4 - 137 to q*o + t*o**2 + i*o**4 + r*o**3 + k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, a: 10}. Give prob of picking 2 u and 1 a.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 338619*g**4 + 45*g**3 + 66*g**2 + 567744?\nAnswer: 8126856*g + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s**3 - 7*s**2 - 3*s + 12. Let r(t) = -4*t**3 - 5*t**2 - 2*t + 8. Suppose 2*q = -4*v + 30, 7*q = 3*q + 2*v + 10. What is q*a(m) - 7*r(m)?\nAnswer: -2*m**3 - m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5354146?\nAnswer: 2, 7, 47, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 8*y. What is the second derivative of -3*n + y*n + 7*n**4 + 3*n**4 wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:06 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - b + 5 = 0, 3*n - b + 5 = -0*b. Let a be ((-4)\/(-3))\/(6\/9 - n). Suppose 162 = 2*g - 3*u - 181, g - a*u - 169 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -14*m - 16. Let h(p) = 3*p + 3. Determine -16*h(g) - 3*t(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/6 (b) 0.2 (c) 17\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*f - 1246 = -129*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -287.9 times -23030\nAnswer: 6630337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38045 and 2135?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*p**4*v - 24671*p**3*v + 18183355*v with respect to p.\nAnswer: 152*p**3*v - 74013*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -289.\nAnswer: -45\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7161, -41320, -129481, -298644, -575809?\n\"Answer: -4500*f**3 - f**2 - 2656*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**4 + 9*v**3 + 19 - 5 - 17 - 11 with respect to v.\nAnswer: -4*v**3 + 27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1209 and 361048909?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207351 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 0, 79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c7 + -10054?\nAnswer: -1084b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 + 9*b - 7. Let c(o) = -3 - 4*o**2 - o**2 + 4*o + 0*o**2 + 7*o**2. Let t = 105 + -120. Let d be t + (1 - (2 + -2)). What is d*c(l) + 6*h(l)?\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 112139 - 70289 = 448586. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -363, -140, 231, 750, 1417, 2232, 3195?\n\"Answer: 74*x**2 + x - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000259 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*v + 28 = 2*u, 5*u - 4*v - 4 = 0. Differentiate u*m + 9 - 4*m - 5*m with respect to m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.34 + 28.66. Let c = 101.314 - 130.3235. Let l = c + z. What is l rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9328.3 + -9326.3. Let j = 61 - 129. Is j < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p**3 - 5*p**3 + 0*p)*(-4*p + 8*p - 10*p)*(-p + 0*p + 3*p)*(2 + 2 - 3).\nAnswer: 24*p**5 + 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 + -13 - 12) + 108 + -110.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6869763?\nAnswer: 3, 763307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0 + 0)*(5*l - 4*l + 0*l + (-3*l + 2*l + 3*l)*(-1 + 4 - 2) - l + 0*l - l) + 32*l**2 + 88*l**2 - 256*l**2 + (-4*l + 2*l + 5*l)*(1 - 3*l - 1).\nAnswer: -143*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -376 - -544. Let m = n + -167.9999425. What is m rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -256443082, -1025772314, -2307987700, -4103089240, -6411076934, -9231950782, -12565710784?\n\"Answer: -256443077*w**2 - w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Suppose i*y - y - 3*t - 25 = 0, 0 = 5*t - 5. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s + 1. Let p(o) = o + 7. Let b be p(-7). Let q(r) = 0*r**s - r**2 + b*r**2. Let w(c) = 7*c**2. What is w(q(z))?\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:17 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, q: 1, w: 3}. Give prob of sequence iwiw.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5857836 divided by 1464459\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-8) + 15*(-1)\/40\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.8 (b) 0.05 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*k + 508*k + 217*k - 3*k + 416*k to a*k + g and give a.\nAnswer: 1001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 1.2 (b) -4 (c) 7 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2400 and -67\/1920?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 6\/5, -71\/5, -4, -5, 4.\nAnswer: -71\/5, -5, -4, 0.1, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:49 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*t = -23, -3*y = -4*t + 6*t - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 283 + 108. Let v(q) = -q - 13. Let w be v(-16). Suppose 0 = 2*y - w - b. Calculate the remainder when 36 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o - 1. Let g(b) = 16*b - 12. Let i be g(2). Let r be i*(4 + 9\/(180\/(-88))). Does 6 divide j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.1 - -66. Let f = -4.9 - j. Let x = 8.80000062 + f. What is x rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 298 - 303. Which is the closest to -1\/4? (a) d (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3\/4 + 99*i**2\/4 + 615*i - 1323 = 0. Calculate i.\nAnswer: -18, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/40, -0.8, 3\/7, 7 in descending order.\nAnswer: 7, 3\/7, -3\/40, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5 + 5. Let g be 3\/(-1 + 14\/8). Solve -2*z + 15 = -5*c, -g*c - r*z - 2*z = -16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 f when three letters picked without replacement from fjqqfqqeeffqqyqq?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 z when four letters picked without replacement from tttttdttttdzzt.\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -278029?\nAnswer: 5\/278029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**2 - 4. Let a be z(-2). Let n = a + 14. Which is greater: n or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 7*w**2 - 8*w - 2. Suppose 3*r = 3*r - 5*r. Let m(u) = -4*u - 6. Let b be m(r). What is j(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + u - 2. Let y be l(-2). Let q be y\/20 + 1362\/15. Suppose q = 2*f - 41. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3 + (-12)\/(-8))*12)\/(-1). Suppose -q - 33 = -5*u - 2*q, -i = -u - 4*q. Calculate the least common multiple of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9409 = 7*v + 918. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1, 2\/15, -46?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 62 - 2*y - 118 + 60 in the form s*y + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -150, -153, -156, -159?\n\"Answer: -3*k - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -206*n**5\/9 + 572*n**4 + 256*n**3\/9 - 572*n**2 - 50*n\/9 = 0.\nAnswer: -1, -1\/103, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 291 + -111. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3541125 (base 8) in base 4?\nAnswer: -3230021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 287307272?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 11. Let o be (-282)\/(-22) + 4\/h. What is the greatest common factor of 26 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11179.\nAnswer: 7, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 53*d + 4855. Calculate n(-101).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2534635732 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -16 - 9) + -16 + 12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*i + 1040, 3*a = 2*i + 1374 - 319. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105.3 + 104.8. Which is the fourth smallest value? (a) 12\/17 (b) 0.13 (c) 1\/7 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*u**3*w**4 + 109*u**3*w**2 + 88*u**3*w - 2*u**3 - 3*u*w + 2*u wrt w.\nAnswer: -780*u**3*w**2 + 218*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2380 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 489724 and 102758?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 5*v + 4. Suppose -4*w = -w - 21. Let i be a(w). Let p be (2\/4)\/((-15)\/i). What is the biggest value in -1\/4, p, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 5*o - 3*o)*(o + 3*o - 2*o)*(1 + 1 + 0).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 3:43 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1526171 to four dps.\nAnswer: -0.1526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 6 - -5) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.472 * 1077\nAnswer: -1585.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33208 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -1\/6, 14, 0, 136?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2656831990.\nAnswer: 2, 5, 37, 194071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 21342 = 5*o + 6*c, 0 = 4*o - 5*c - 17081. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 2282, 22, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 40 - 2*r**2 + 40 to the form s*r**2 + y + j*r and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 47*w**2 - 2*w - 1. Let i = 7 - -9. Let g = i + -17. Does 12 divide n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 2*o + 1. Let h(n) = n**2 + n. Let x(c) = -c**2 + 13*c + 32. Let j be x(15). What is j*h(q) + m(q)?\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4194)\/(-16))\/(433\/3464).\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89397 + 153880. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010573828 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4*c - 20 = 0, 42*c + 752 = -2*t + 340 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -67*t - 412. Determine n(-10).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t - 65*t**3 - 2*t + t + 54*t**3 + 2*t in the form m*t**3 + w*t**2 + y + h*t and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 3*p + 4. Let g be n(-3). Suppose -w - 2*w + 60 = -3*o, -5*o + g*w = 102. Is (-334)\/o + (-4)\/22 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - 226.7. What is g rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*a, -5*m + 10*a + 15199990 = 15*a. What is m rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 2989 = -8*m + 3*s, -3*m + 4490 = 2*s. Let o = m - 572. Is 66 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {o: 4, i: 2, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 21. Calculate the greatest common factor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 12*k - 12. Let a be i(-9). Suppose -3*n + a = -0*n. Put 0.3, 0.5, -3\/4, n in ascending order.\nAnswer: -3\/4, 0.3, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 8*f + 13. Let s be 5\/(-25) + (-3 - (-57)\/(-15)). Let w be z(s). Suppose 8 = 10*x - w*x. What is the smallest common multiple of x and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75c (base 14) to base 4\nAnswer: -112232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -15*n**3 - 3*n - 4. Let g be l(-2). Find the common denominator of 79\/8 and g\/(-6 + (-12)\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 3)*(-3*m + 2*m + 0*m)*(1 + 1 - 3).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 3*r**2 - 3*r + 6. Let a be m(-4). Suppose -l - 20 = -a*d - 2*d, -l - 24 = -5*d. Let u = d - 35. Which is smaller: u or -30?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -76 - (274 - (94 - -188)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207470012?\nAnswer: 2, 43, 271, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 5*l + 2. Suppose -706 + 121 = 9*r. Let f = r + 67. Suppose -5*a + f*a - 11 = -2*p, 17 = -4*a + 5*p. Determine o(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhxxxxhhhhhhhhhhhxgg. Give prob of sequence hggx.\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = -2*r. Let d be ((-9)\/3)\/r + -1. Suppose d = 2*v, -2*s - s - 2*v + 32 = 0. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22490, 22621, 22748, 22871, 22990, 23105, 23216?\nAnswer: 23323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 22*t. Let m(l) be the third derivative of -l**5\/30 + 36*l**2. Give m(z(g)).\nAnswer: -2*g**4 + 88*g**3 - 968*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + x - 128 = 0, -5*a + 24 = -5*x + 169. Let b = -31 + a. Let s = 118 + b. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 - 85. Let t(u) = -2*u**2 + 34*u + 71. Let p be t(b). What is the nearest to -0.1 in -0.21, -0.4, p, 3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-32))\/(9\/(-54)). Let d(f) = -f**2 + f. Let o be d(0). What is the smallest value in -0.3, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14898198 - 4?\nAnswer: 14898194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000268 rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 10.27?\nAnswer: 10.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-10 - -10) - 20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006514317 to six dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8697135917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = -4*p - 102 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 7*p. Let w be l(6). Suppose 4*g = -g - w. Let x = 26 + g. Calculate the remainder when 77 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560278733.223 minus 1458?\nAnswer: 560277275.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnniiniiniinni. What is prob of sequence iii?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -52. Let l = 15 + o. Let k = l + 5. Which is the second biggest value? (a) k (b) -2\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22758.39042 rounded to 1 decimal place?\nAnswer: 22758.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 210*n - 14. Let f(x) = 53*x - 3. Let d(g) = -9*f(g) + 2*y(g). Let r(m) = m. Determine d(r(u)).\nAnswer: -57*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = 6*a. Let q = 102 - 48. Suppose a*x = -0*x + q. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2*p**3*x + 2*h**2*p**3 + h**2*p**2*x - 4*h**2*x + 8*h*p**2 + h*x + 81*p**4 wrt p.\nAnswer: 12*h**2*x + 12*h**2 + 1944*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n - 68. Suppose -28 = -5*u + 42. Let a be j(u). Factor -2*f**2 + 0*f + a*f**3 - 1\/2*f**4 + 0.\nAnswer: -f**2*(f - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(1470\/24)*(-28)\/(-184)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j = 0. Let k be ((1 - j) + -1)*1. Let b(m) = m - m + m + k. Determine b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322570 is divided by 24813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1517576*j**2*m + 1324891*j*m wrt j.\nAnswer: 3035152*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -71, 2, -5, -17, -4 in descending order.\nAnswer: 2, -2, -4, -5, -17, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -23.92\nAnswer: 191.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450878?\nAnswer: 2, 3, 11, 13, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obad when four letters picked without replacement from joajoddbobbobo.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4 - 3945*u**3 - 329280*u**2 + 12642580*u - 12309360 = 0. What is u?\nAnswer: -102, 1, 28, 862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w + q = -2321, 2*w - 4662 = -3*q. Is 93 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22222200212200 (base 3) to base 10.\nAnswer: -4777047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 110*w**2 + w + 5. Let v(q) = -q**3 + q**2 - q. Determine -v(s) - x(s).\nAnswer: 2*s**3 + 109*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 34*c - 267. Calculate n(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k - 5. Let c(r) = 4*r + 3. Let s(b) = 5*c(b) + 3*m(b). Let n(t) = -5*t**2. Give s(n(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfdugcfm. What is prob of sequence fgf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-18 - 12) - ((-2 - 1) + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -18*((-3)\/(-9) + (-28)\/6). Let u = -50 + j. What is the greatest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -2 + 1 + sqrt(243) + sqrt(243)) + (2*sqrt(12) + -1 - (1 + sqrt(3) + 4)*-6))**2.\nAnswer: 5800*sqrt(3) + 30841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-3)\/(-16)) - (-50 - -58). Solve -52 + 20 = i*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296138, -2369120, -7995792, -18953000, -37017590, -63966408, -101576300?\nAnswer: -151624112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/((-12)\/6516). Let r = p - -211. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -42072122?\nAnswer: 42072121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1460*o + 56117 - 11553 = -11933 - 16503 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -35, 1.9 in descending order.\nAnswer: 1.9, -9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/18)\/(5\/30))\/((-56)\/24)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2704 - 2707. Put -105, m, 4 in ascending order.\nAnswer: -105, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 639\/14851 or 1?\nAnswer: 639\/14851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 41, 13.\nAnswer: 12, 13, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/49, -3, -2\/3 in increasing order.\nAnswer: -3, -2\/3, 3\/49, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 4. Let l(k) = 2 - 5 + 3*k - 2. Suppose -20 = 3*o - 8*o. Let y(h) = o*l(h) - 5*n(h). Let g(q) = 2*q. What is g(y(x))?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 204. Let s be 3 - (-3 + 3 + -1). Suppose -u + s*u - b = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h. Let z = -13 - -20. Let s(a) = -a. Let w(i) = z*s(i) + 6*g(i). Let f(t) = -2*t**2. Determine f(w(r)).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 129937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -54\/7*x**2 - 240\/7*x**3 - 3\/7*x**5 + 0 + 243\/7*x + 54\/7*x**4 = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1102 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 7:07 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, m: 3}. Give prob of sequence mu.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 23 = -13*z, 3*z - 13*z + 10*z + x = -16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 - 103.011. Let g = y + 0.011. Which is the biggest value? (a) -4 (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 1:39 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -686*a**2 + 13*a - 2287. Let z(x) = 691*x**2 - 15*x + 2286. Let l(r) = -7*b(r) - 6*z(r). Find the first derivative of l(c) wrt c.\nAnswer: 1312*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = 459*l + 674. Let d = 13 + -12.91. Which is the closest to -1? (a) l (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 67 + 80. Let y = 86 - x. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 31830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2069 (base 12) to base 2.\nAnswer: 110111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 57 = 5*s, 5*b = -4*s + 63 + 9. Let q = s - 5. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13836, 23387, 32928, 42453, 51956, 61431, 70872, 80273?\n\"Answer: -j**3 + j**2 + 9555*j + 4281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let l(t) = 18*t**2. Let m(z) = 6*z**2. Let a = 46 + -23. Suppose -21*o + a*o = 8. Let i(s) = o*l(s) - 14*m(s). Determine y(i(d)).\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*sqrt(18)*4)\/(sqrt(30)\/(sqrt(245) - sqrt(5))).\nAnswer: -576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14201 (base 5) in base 15?\nAnswer: -536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -a73?\nAnswer: -a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 80*h + 1103. Calculate c(-61).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + c - 9 = -o, 2*o = 2*c + 6. Suppose u - 52 = o*j + 81, u = 5*j + 129. Suppose 366 = 3*x - 3*m, -3*m + u = 2*x - 130. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6186, 1, -3949 in descending order.\nAnswer: 6186, 1, -3949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25197340.\nAnswer: 2, 5, 7, 179981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 5102275*w - 40817880.\nAnswer: -5*(w - 1020447)*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) + -14*3\/12. Sort m, 1, 4, -5 in descending order.\nAnswer: 4, 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01114716 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l + 70*l**2 + 0 + 0*l**3 - 1\/24*l**4. Let h(w) = 3*w - 10. Calculate g(h(x)).\nAnswer: -3*x + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*q + 1. Let j(i) = 15*i**2 - i - 2. Let x be j(2). Calculate the greatest common factor of x and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(-1\/14))*p**(-16))**49 assuming p is positive.\nAnswer: p**(-1477\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2920 + 239449\/82. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 4\/75549 (c) -2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1278829, 1278173, 1277079, 1275547, 1273577, 1271169?\n\"Answer: -219*f**2 + f + 1279047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 3341?\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6572311106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 33069 = 4331957\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13454144 and 319?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14)*(-1778)\/1524?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 22*r**2 + 8447*r - 212152. Calculate s(25).\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -788.\nAnswer: -3\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*w - 70*w - 657 = 0. Let h = -157 - w. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/6*(-18)\/12. Suppose a*t - 19 = 11. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 82 and -289.977?\nAnswer: -23778.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 36612 = -2*a. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 5*c**4 - c**4)*(13*c - 67 + 67) + 0*c**5 + 0*c**5 + c**5.\nAnswer: 27*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - ((-13 - (6 + -21)) + 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 6*z - 3. Let m be v(5). Suppose m*d + 2*d - 16 = 0. Solve -2*k = -0*k - d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47834bc6 + -4?\nAnswer: -47834bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 20 = -4*j - 2*w, -w - 3 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 11) in base 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 78*y - 10. List the prime factors of j(2).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l + 8. Suppose -8 = -l*i + 2. Solve 4 + 2 = -5*w - q, 5*w + i*q - 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 358, 1831, 4264, 7639, 11938, 17143, 23236?\n\"Answer: -3*l**3 + 498*l**2 - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/25))\/h**(1\/4))\/(h*((h**(2\/9)\/h)\/h)\/h*h)**(-25))\/(h*h*(h\/h**3)\/h*h*h**(-1\/10)*h*((h*h\/h**1)\/h)\/h**(3\/4)) assuming h is positive.\nAnswer: h**(-4258\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -471000 by 200.\nAnswer: -2355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 26703 = 3*m + 6530, 2*j = -m - 20193. Is j\/(-14) + (0 - 0) + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1535216793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 53 + 165 = 0. Is -67\/4 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - 11*f**2 - 12*f - 27. List the prime factors of c(-7).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*x + 2*x. Let u = x - 5. What is the second smallest value in -0.1, u, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(13\/3)*f)\/f**(-3\/5)*(f\/(f*(f**(-1\/14)*f)\/f))\/(f**(-7)*f))**(-2\/23) assuming f is positive.\nAnswer: f**(-2731\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.4 and 32303.\nAnswer: 32310.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -84*c - 402. Determine z(-10).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**6\/720 - g**4\/3 + 7*g. Let c(d) be the third derivative of y(d). Let s(o) = -21*o. Determine c(s(w)).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 232265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83079\/1224 + (-11 - 1602\/(-144)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33132361, 33132363, 33132365, 33132367?\nAnswer: 33132369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0 = -8. Let p be (-3 + n)\/(7\/(-35)). Suppose p*x - 7*x + 78 = 0. Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 3*z + 4*z)*(27*z + 13 - 13 + (-2 + 2 + 1)*(2*z - 3*z + 3*z)) in the form h*z + t + x*z**2 and give x.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 - 22*g**2 + 2*g - 26. Calculate f(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/45388 and 53\/19452.\nAnswer: 136164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 4, k: 1, n: 5, b: 4}. What is prob of sequence bz?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77\/915 - 3\/61. Which is the nearest to 0? (a) q (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9378750 to the nearest integer?\nAnswer: 3062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 1. Let g(p) = -p - 12. Let a = 1 + 1. Let y(r) = a*n(r) - g(r). Let s be y(5). Solve -s*k = -1 - 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011 + -110000010111?\nAnswer: -110100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:54 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 + -69. Let o = p + -9.99998938. What is o rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 19*b - 3. Let o(i) = 2*i - 4. Calculate the remainder when m(1) is divided by o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -72140 - 921123. List the prime factors of n.\nAnswer: 61, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/((-36)\/(-6)))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpmx. What is prob of picking 1 p and 1 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -447, -4070, -14307, -34596, -68375?\n\"Answer: -573*d**3 + 131*d**2 - 5*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 + 7*w**4 + 0*w**3 - 2*w**2 - 9*w**4 + w - 2*w in the form n*w**4 + q*w**3 + d*w**2 + s*w + z and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {m: 4, a: 2, i: 1, d: 3, t: 4, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18e73 - -19?\nAnswer: -18e59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 160. Let l = x + 241. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12540)\/(-120)*14\/77.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8362 and 76727.\nAnswer: 5677798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/11895 and 31\/47580.\nAnswer: 47580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -4321076.339.\nAnswer: -4321081.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p - p + 2*p)*(-1 + 0 - 1) + 2 + 3 - 7 - 3*p)*(4*p - 3 + 3).\nAnswer: -4*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 182974 less than 183018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570 divided by 2?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 745199317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 16.69. Let u = r - -0.09. Put -3, 2, u in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 94329975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 + 7*t**3 + t**2)*(1 - 1 - 2) in the form g + w*t + i*t**2 + h*t**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c*c**(3\/5))\/c*c**(-6)*c)\/(c**0\/c*c*c)**20 assuming c is positive.\nAnswer: c**(-107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/2 - l**3 - 35*l**2\/2 = 0. What is l?\nAnswer: -5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.1 + -1.1. Let u = 10 + -9.7. What is the smallest value in u, l, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -832 - x**4 - 4*x**2 - x**3 - 4*x**3 + 835 to the form c*x**2 + l*x**3 + r + j*x + y*x**4 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7*u - 2*u + 155 = 0, -2*u - 76 = -2*h. Suppose -4*i + h = 3. Solve -7*t - i = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -38 - a - 165*a + 179*a - 9*a. Let w(r) = r. What is w(x(j))?\nAnswer: 4*j - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39\/28 - -8\/7. Let u = 15 - 19. What is the second smallest value in 2\/9, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + a - 4 = 2*s, 5*s - 4*a + 17 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/50 - (-44433)\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 950 + -241. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -20*b + 924. Give o(46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4 - 35\/10. Let o(y) = y + 13. Let i(m) = -m - 6. Let u(w) = f*i(w) - 3*o(w). What is the units digit of u(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.331733 times 0.09?\nAnswer: -0.02985597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**2\/2 - 7*m - 29. Let n(x) = x + 4. Determine -7*n(i) - 4*y(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - 3*c + 3*c + (-1 + 0 + 0)*(2*c + 0*c + 0*c) - c - 3*c - 2*c + (-3 + 7 - 2)*(2*c + 3*c - 3*c) - 2*c + 2*c + 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -51, 0, 1 in decreasing order.\nAnswer: 1, 0, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 95753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 2*b**2 - 3*b**2)*(-2*b + b + 0*b) + (-2*b**2 - b**2 - 4*b**2)*(-b - 2*b - 3*b) - 5*b**3 + b**3 + 0*b**3 + (2*b + 2 - 2)*(2*b**2 + 2 - 2).\nAnswer: 43*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 45*j + 48. Let r be x(-46). Let s be 2\/(16\/(-24)) - r. Which is the nearest to 1? (a) -1\/3 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 4*p - 2*p)*(4*p - p - 2*p + 0*p - 3*p + 5*p + 3*p + p - 6*p + (3 - 3 + 2)*(3*p - 6*p + p) + p - 6*p + 4*p - 2*p + 2 - 2 + 3*p - 5*p + p).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.4, -0.15, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 978.9655ml in litres?\nAnswer: 0.9789655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2. Let v(k) = -7*k - 66. What is y(v(b))?\nAnswer: -147*b**2 - 2772*b - 13068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 3*i - 32, -5*t + i + 0*i + 18 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142 - -25. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:36 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c03 (base 14) to base 8.\nAnswer: -4463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 9. Suppose 27 = -4*p + 7. Let x be k(p). Suppose 0*l - 5*l = -30. What is the highest common factor of x and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120615\/32 - 3771. Calculate the common denominator of 43\/(-168) - ((-10)\/6 + 2) and i.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 106 and -113007.8.\nAnswer: -11978826.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29886636 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -g + 24, -4*d - 12509*g - 32 = -12512*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/7)\/(107\/((-2247)\/(-2))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -1. Let j(a) = -5*a. List the prime factors of j(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -388, -556?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 13*t**5\/30 - 39*t**2 + 33. Let r(l) be the second derivative of a(l). Let d(v) = 2*v - 2 + 2. Calculate r(d(b)).\nAnswer: 104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 8*t**2 - 2*t - 19. What is b(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 7*v + 1. Let i(z) = z**3 - 2*z + 6. Let n be i(0). Let c be b(n). Let x = 0 - -2. Solve x*o - c*o = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*l**3 + l**3 + 7*l**3 + 15*l - l**3 + 3*l**3 in the form f*l**3 + o*l + p + n*l**2 and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14815799 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2 - 19082*d + 191020 = 0?\nAnswer: -9551, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 5 - (-210)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eellllvejrllejrllrv. What is prob of picking 4 l?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3181*z + 3320*z - 2665*z + (-1 - 3 + 2)*(-3*z + 4*z + 0*z).\nAnswer: -2528*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2. Let v be (-3)\/(-2)*(2 - 0). Suppose -v*t - 1 = -7. Let d(f) = 2*f + t*f - 5*f. Give i(d(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 164, 233, 278, 287, 248, 149?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 27*z + 1. Let d(w) = 83*w + 3. Let b be (7 + 136\/(-16))\/((-6)\/68). Let r(h) = b*o(h) - 6*d(h). Let x(p) = 2*p. What is x(r(q))?\nAnswer: -78*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3444 + 1?\nAnswer: -3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmppmppppmpmmmmpmpm. What is prob of picking 2 p?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -15.3, -2\/9, 1\/5, -20, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -475697 or -3329888\/7?\nAnswer: -475697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x + 63. Let w be d(-10). Let m = -16 - w. Let j = -1.07 - -1. Put m, -1, j in increasing order.\nAnswer: -1, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 2996?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 28 = 8. Suppose 144 = 2*h + u. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**2. Let h(t) = -4 + 6 + 2 - 1. Let p(n) = -n - 5. Let f(q) = 5*h(q) + 3*p(q). Calculate f(i(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 761*b - 6032. Give j(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -148. Let x = 39.0000019 + c. What is x rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -742 - -742.0000571. What is s rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123632 divided by 4?\nAnswer: 30908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 24*r + 53. Give q(-5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-140)*93\/(-62)*10\/(-3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - (-190)\/30. Suppose r*w + 17700 = 4*w. Round w to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*b = -70*b + 5*y - 90, 0 = b - 4*y - 16*y + 297 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/5 (b) 9 (c) 2\/9 (d) -2\/13 (e) -2052\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -6\/1445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1\/5, -11, 4, 15\/31?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 3*h + 4. Let i be v(3). Let w = -8 + 22. Suppose -y - 2 = -4*a, -3*a - 2*a = -i*y + w. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - (7 - -38)) + -1 + (1 - -104)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -317725\/22 + 14445. Calculate the common denominator of p and (15\/(-4))\/(6\/7).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -96, 2\/7, -2?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41082 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -17597, 6550, -4 in decreasing order.\nAnswer: 6550, -4, -17597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 9*q + 14*q + 5*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 121661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 759, 760, 761, 762, 763?\n\"Answer: b + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13.5 times -0.18457\nAnswer: 2.491695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*l = 16, -l = 510*n - 511*n + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/65, -1, 98, -0.1 in increasing order.\nAnswer: -1, -0.1, -3\/65, 0, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57715886 + -266?\nAnswer: 57715620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206 + 209. Solve -2*y + 6 = n*p, -2*y + 7*y + 4*p = 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 184 = -8*y + 40. Calculate the lowest common multiple of 360 and y.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -438, -9, 3, -35, 6, -5 in decreasing order.\nAnswer: 6, 3, 2, -5, -9, -35, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2746, 7, -3.\nAnswer: -2746, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 12*o - 18. Let f be z(10). Suppose 4*n - 4 = f*b, 3*n - 1 = -5*b + 2. Suppose 0 = -4*s + 5*s - n. Do s and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14303910553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -60, -90, -120, -150?\n\"Answer: -30*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 406\/3. Is t equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -15. Let f(v) = -v**3 - 4*v**2 + v + 2. Let w be f(r). Let t(k) = -41*k - 8. What is the least common multiple of t(w) and 4?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102560166 to the nearest integer?\nAnswer: 10127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 7*o**4 + 4*o**3)*((3 - 2 + 0)*(-3 - 2 + 7) - 4 + 2 + 1 + 0 - 1 + 3 + 7 + 2 - 3)*(-4 + 2 + 0).\nAnswer: -126*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 350376.\nAnswer: -28030.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 570?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/28 - 23\/7. Let c(i) = -i**2 + 2. Give c(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -1\/120*a**6 - 1\/6*a**4 + 1\/12*a**5 + 0*a**3 - 6*a**2 + 0 + 14*a. Let w(l) be the first derivative of x(l). Factor w(q).\nAnswer: -q*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5)*-1)\/(68\/85)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69302081?\nAnswer: 17, 31, 107, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 254800488 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpkeedz. What is prob of picking 1 e and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.4 (b) 0.3 (c) -0.1 (d) -212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 5*b - 4. Let i be u(-5). Let n = i + 14. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1773645087.\nAnswer: 3, 591215029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 996 <= -32\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j - 1. Let b(v) = 6*v**2 - 3*v - 8. Let t(l) = b(l) - 3*u(l). Let m(d) be the first derivative of t(d). Let k(s) = 5*s**2. Give m(k(p)).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w + 9. Let x(j) = 15*j - 21. Let s(p) = 6*x(p) + 11*z(p). Let o = 40 - 19. Is s(o) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44526.79 decades in years?\nAnswer: 445267.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91*u**2 + 2 + 98*u**2 + 0 - 4*u**3 to p*u**3 + y*u + j + q*u**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkzggkgkkzgzzz. Give prob of picking 1 k and 2 z.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 179*-26\nAnswer: -4654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5417 + 5457. Solve 5*g - n = 5*x, 2*x + 30 - 2 = 4*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-1725723960\nAnswer: -1725723960.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 591162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 + 2.6. Let t = 1.31 + -0.11. Let q = t - l. What is the second biggest value in 0, q, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {u: 1, b: 1, j: 2, m: 1, v: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-4 - -4) + -5 + 12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180)*-2 + -4)*-2 - (0 + (-5*sqrt(10)\/sqrt(2) - sqrt(5)) + -5)) + 0)**2.\nAnswer: 780*sqrt(5) + 4669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 698 = 5*b, -5*k = b + 160 + 698. Let f be k - -1 - -3 - 1. Which is smaller: -168 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 50 - 20 = 0. Let v = -7 - o. Suppose -5*i - u + 31 = 3*u, -4*i + 25 = v*u. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = -6. Suppose -2 = 5*d + 3. Let q(r) = r. Let h(p) be the second derivative of p**5\/20 + 5*p**3\/6 + p**2\/2 + 2*p. Determine d*h(i) + k*q(i).\nAnswer: -i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 5. Suppose -4*r - 9 = 11. Let g(p) = p**3 + 3*p + 6. Let u(z) = r*g(z) + 6*i(z). What is the second derivative of u(a) wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 103\/15, 2.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (501\/(-334))\/((-2*(-6)\/112)\/1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*h**2 - 485*h**2 - 1806*h**2.\nAnswer: -2535*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 10*r**2 - 11*r + 3. Let u be d(-9). Let m be (0 + 18\/(-8))\/(u\/(-112)). What is the tens digit of 2\/(-3) + 1532\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.5176 and -6.\nAnswer: -4.4824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 287 = 55*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 965199219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323270 is divided by 903?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25918713119 - -0.5?\nAnswer: 25918713119.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.9.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -3\/2, -3\/10, 0.06, -2.\nAnswer: -84, -2, -3\/2, -3\/10, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 33*n + 385. Calculate b(-17).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 1. Let c(s) = -2*s - 1. Let w = -1503 - -1502. Give w*c(t) + m(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 273, 285, 319, 387, 501?\n\"Answer: 2*j**3 - j**2 + j + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 130, 255, 378, 499, 618?\n\"Answer: -x**2 + 130*x - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145 + 145 + -1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284 + 290 + 26*r - 576.\nAnswer: 26*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 2*u, -215*q + 106*q + 5*u + 27 = -108*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 9) to base 14\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 12. Let j(g) = -2*g + 23. Let f be (-38)\/(-4) + 12\/8. Let p(w) = f*o(w) - 6*j(w). Let l be p(6). Solve -5*i = -l*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152)\/(-32)*(-32)\/(-24)*1*-3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 6*l**2 - 8*l + 5. Is 3 a factor of n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 - 133*m**2\/4 - 33*m.\nAnswer: -m*(m + 1)*(m + 132)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1664 divided by -416\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*g**2 + 6 + 4*g + 183*g**2 + 240*g**2 - 695*g**2 - 4*g + 0*g.\nAnswer: -15*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17948 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -15*x + 33. Let u(l) = -22*l + 50. Let m(d) = -7*k(d) + 5*u(d). What are the prime factors of m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1320 and 90255?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2376 and -97\/176?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*g**4 - 35*f*g**3 + 2*f*g - 44*f + 3*g**4 - 2*g**2 wrt g?\nAnswer: -24*f*g - 210*f + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277985325 to the nearest integer?\nAnswer: 16673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468421.8 centuries to millennia.\nAnswer: 46842.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 1 + n**2 - 4*n**2 + (-13*n**2 - 4*n**2 + 4*n**2)*(57 - 222 + 60).\nAnswer: 1364*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3880 divided by -485\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982.0368 grams to micrograms.\nAnswer: 982036800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 = -n, n + 0*n + 4*x + 9 = 0. Let j = -38 - -44. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 198 = -0*o - 5*j, -3*o = 2*j - 297. Let x(q) = -7*q**2 + 5*q + 1. Let h be x(6). Let f = h - -246. Calculate the remainder when o is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (6\/8)\/(4\/64). Solve -5*l - 7 = -4*h, -4*h = -2*l - w - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.345 + 19.5. Let k = j - 53.855. What is k rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -3*i**2 + 1\/2*i**4 - 7*i + 4\/3*i**3 - 1\/20*i**5 + 0. What is the units digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*f - 29 = 0, 8*f + 12 = 5*f. Let b be 0 + 1 + 50 + d. Let q = 56 - b. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -13. Suppose 8*a = t*a - 184. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + ((sqrt(114)*-1 - sqrt(114)) + sqrt(114))*1)*-1)\/(-5*(-6*sqrt(96) + sqrt(6) + sqrt(6))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and 0.84333.\nAnswer: -1.264995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:56 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*w + 14*w + 5*w)*(2 - 4 - 8).\nAnswer: -360*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0*t**3 - 2*t**2 - 12*t - 1\/8*t**4 + 0. Let o(d) be the second derivative of -11*d**4\/12 + 2*d. Give i(o(x)).\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -120003?\nAnswer: 120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-12)*(-6)\/(-21)*1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 2. Let f be g(-7). Let x be (56\/(-21) + 1)*6\/4 - -4. Let c be -2*(0 - 6\/(-4)). Put x, c, f in increasing order.\nAnswer: c, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231185, -231079, -230973, -230867, -230761?\nAnswer: -230655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/12)\/((-350)\/(-75))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44, 274, 900, 2120, 4132?\n\"Answer: 33*d**3 - d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -119.5\nAnswer: -1673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552044 to the power of 1\/2, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29703185 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 58. Let r = 3.3 + -3.38. Let m = r + -4.92. What is the fourth smallest value in m, f, 2\/7, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Suppose -5*q = 3*x - 21, -3*q = q - 12. Let w(b) = 3 - 3*b - x - a. Let p(r) = -15*r + 1. Calculate 2*p(o) - 11*w(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 35, 46, 53?\n\"Answer: -2*x**2 + 21*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-52)\/(-5))\/(2\/(-10)). Let c = f - -28. Which is greater: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -95\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1595 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4))**13\/(((a*a\/(a\/(a**15*a))*a)\/a*a)\/((a**(-15)*a)\/a)))**(-2\/7) assuming a is positive.\nAnswer: a**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2208*y - 151. Is z(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + 6)*(-3)\/(6\/(-10)). Suppose -5*q = -j + 2421 - 779, s*j + 5*q = 8150. Suppose 14*z - j = -2*z. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.161*0.4.\nAnswer: 0.0644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -30. Let p = j + -6. Calculate the least common multiple of p and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/13297700 and -119\/3180.\nAnswer: 39893100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/4 + 11571*j**4\/4 - 33512471*j**3\/4 + 234009097*j**2\/4 + 8378118*j - 58505167 = 0. Calculate j.\nAnswer: -1, 1, 7, 5782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:37 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 9, 3, -9, -27?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, w: 5, r: 2, t: 3, m: 2}. What is prob of picking 1 w, 2 t, and 1 r?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 8:35 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 899, 1797, 2697, 3599, 4503?\n\"Answer: h**2 + 895*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6554*g**2 - 1890*g.\nAnswer: 13108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(-7 + (-182)\/(-35))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 5*p + 16. Suppose -5*q + 15 = 5*f, 2*f - 9 = 3*f + 4*q. Let u be t(f). What is the least common multiple of 2 and (48\/u)\/((-4)\/(-30)) - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 17. Let t(s) = 4*s**3 - s**2 - 5*s**3 + 1 - 5*s**2 - 3*s**2 + 10*s. Determine t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*m**(-4)\/m)*m)\/m)\/(m\/m**(-1))*(m*(m*m\/m**(2\/3)*m)\/m*m)**(13\/2))\/(((m\/m**4)\/m)\/(m\/((m*m\/(m*m*m**4*m*m))\/m)))**9 assuming m is positive.\nAnswer: m**(401\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53607874 take away -0.634291?\nAnswer: 53607874.634291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.029299906 * 1.\nAnswer: 0.029299906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*(t\/(t**(2\/9)*t*t*t))\/t)**(2\/43)\/((t**(-2\/5)\/(t**(-2\/7)*t))\/(t\/t**(-1))**(-30\/13)) assuming t is positive.\nAnswer: t**(-634691\/176085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 250 = 3*s + 15*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 - 83*s\/3 + 1720\/3.\nAnswer: (s - 43)*(s - 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -337, -710, -1253, -1978, -2897, -4022?\nAnswer: -5365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 1357?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, -2\/13, 0.04 in descending order.\nAnswer: 0.04, -2\/13, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/265 in 16, 4\/7, -4\/3, -1, -1.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**7\/70 + r**4\/8 + r**2\/2 - 1. Let u(s) be the second derivative of z(s). Find the second derivative of u(h) wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28597243.67 to the nearest 10000.\nAnswer: -28600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 5:27 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -5ab31875?\nAnswer: 5ab31879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/14787 and -73\/53289.\nAnswer: 2824317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 1240 (b) 0.02 (c) -13 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -x - 328, -4*n - n - 1660 = 5*x. Does 3 divide -4*596\/x + (-2)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 2*q - 16. Factor -1 - m**3 + 11 - m**q + m - 4 - 5.\nAnswer: -(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1457902 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*q = -68*q - 220 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 3*p**2 - 11*p + p**3 + 4*p - 14*p - p**2 to the form r*p**3 + o + v*p**2 + x*p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506748.\nAnswer: 2, 3, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 13*j**8\/3360 - j**5\/60 + j**4 + 9*j**2. Let n(u) be the second derivative of k(u). Differentiate n(v) wrt v.\nAnswer: 78*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*f*j*l**3 - 2*f*j*l**2 - 2*f*l - 2*l**3 - 96 wrt j.\nAnswer: -51*f*l**3 - 2*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 7, u: 1, y: 4, h: 3, q: 4}. Give prob of picking 1 q and 1 u.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 464\/5 (c) 2\/21 (d) -2\/7 (e) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67828, -80105, -92384, -104665, -116948, -129233?\n\"Answer: -w**2 - 12274*w - 55553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(76) + -2 + sqrt(76) + -1 + (sqrt(76) - (0 + sqrt(76))*5))**2.\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 3 (c) 2 (d) -7 (e) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147747\/7676 - 4\/1919. Calculate the common denominator of d and (21\/2)\/((-48)\/44).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12074 + -2?\nAnswer: -12076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 413 + -293. Suppose 0*q + 10*q + n = 0. Let b(h) = -h**3 - 11*h**2 - 7*h - 7. Is b(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 9*y - 40. Let r(m) = m**3 + 3*m**2 - 4*m + 3. Determine r(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655940722.\nAnswer: 2, 827970361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:33 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*i + 14, -2*i + 208 = 204. Let b(y) = y**3 + 7*y**2 + 8*y + 13. Give b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019623149 rounded to 5 dps?\nAnswer: -0.00196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (1 - 47\/9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38541488*j*r**3 - j*r**2 - 739826*j*r wrt r.\nAnswer: 231248928*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2946 bigger than -2595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 18 = 3*y - 7, 52 = 4*y - 4*j. Let i = 3 + y. Calculate the smallest common multiple of i and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 7, d: 5}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 809?\nAnswer: 2\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -1953*u**2. Let r(h) = 58*h. Give r(d(s)).\nAnswer: -113274*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*q + 142 = -124*q + 176*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 1. Let p be i(2). Let n(h) be the second derivative of -2*h**2 - 13*h - 5\/6*h**3 + 2 - 1\/12*h**4. Calculate n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - r + 2. Let s(j) = 2*j**2 - 2. Let d(l) = -7*i(l) - 6*s(l). Let c be d(-4). Put c, 3, 5 in descending order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 70402 + 70402. Let v(l) = 20*l. Give j(v(q)).\nAnswer: -800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 47.74, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79779 and 32619?\nAnswer: 6621657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*y - 4*s, 0 = -4*y - 3*s - 0*s + 101. Suppose m - 4*z - 5 = z, -z + y = -5*m. Suppose 16 = 18*k - 14*k. Put m, k, -2, 3 in decreasing order.\nAnswer: k, 3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23043\/8 or 2879?\nAnswer: 23043\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + 4 - (-2 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + 110232?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4\/2 - 3964*b**3 - 7860611*b**2 - 15709332*b - 15705369\/2 = 0.\nAnswer: -3963, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14 - -14)*(0 - -1). Solve -2 + k = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -82*g. Let x(c) be the third derivative of c**5\/30 + 254*c**2. Determine w(x(i)).\nAnswer: -164*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/10 + 59*r**2. Let m(w) = -2*w**2. What is m(n(s))?\nAnswer: -72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 0*s - 3\/2*s**6 - 5\/3*s**3 + 0*s**5 + 0*s**2 - 12 + 0*s**4. Find the third derivative of j(y) wrt y.\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9748333 and 6?\nAnswer: 58489998","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -5, 5, -3, 0, 2, 68.\nAnswer: -64, -5, -3, 0, 2, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-5)\/y)\/y)**41*y*((y\/(y\/(y*y**(2\/43)*y*y)))\/y)\/y*y\/y**27)**(-38) assuming y is positive.\nAnswer: y**(508098\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4\/3 - 26*r**3 - 118*r**2 - 482*r\/3 - 68 = 0.\nAnswer: -34, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 + 37692*y + 15285620 = 0. Calculate y.\nAnswer: -37282, -410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 5:15 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 17\/8) + 4. Let i = 94\/9 - 1052\/99. Let n = -5.3 + 5. What is the closest to i in 3, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 156 in 2, -1\/2, -1.31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 832 a factor of 246306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1426 - -1457. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-9 - -13) - (7 - (-6 - -7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1965115 and 32635.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (47 + -45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 9.2.\nAnswer: -0.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 176716857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 8*u**2 + 8*u. Let c = 88 + -91. Let a(f) = -f**3 + 3*f**2 + 3*f. Determine c*q(r) + 8*a(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0027 + -0.001. What is a rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 117 - 12. Let r be ((-84)\/l)\/(2\/10). Let y(j) = j**2 + 6*j - 3. Let q be y(-7). Calculate the greatest common factor of r and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 divided by -3?\nAnswer: -653\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327, 565, 847, 1185, 1591, 2077?\nAnswer: 2655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + 53?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.59 - 46.59. Let t = a - -46.00074. Round t to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -3*h, 2 = 2*h - 4. Let p = r + 69. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -122028*b - 5613295. What is c(-46)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -968771256.1 to the nearest one million.\nAnswer: -969000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - t**2 - 2*t + 49. Give h(0).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 - 102.1\nAnswer: -103.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-16)*10\/25*10 - -2368.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(833) - (1 + sqrt(833) - sqrt(833)))**2 - sqrt(17)) + 1*-4*sqrt(68).\nAnswer: -23*sqrt(17) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*m**2 + 13415*m - 13415*m.\nAnswer: -124*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 + 2*g)*(7*g - 3*g - 3*g) - 14*g**2 + 27*g**2 - 11*g**2)*(3*g + 4 - 4) in the form w*g + z + a*g**2 + c*g**3 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-9)\/(198\/(-56)) - 0. Which is the nearest to 0.02? (a) -5 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40880 and 16908990.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 + 16*w - 27. Let g(i) = i**2 + 1. Let l(x) = 5*g(x) - m(x). Factor l(y).\nAnswer: 2*(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**4 + 5*y**4 - 2*y**4)*(-222 - 760 + 446).\nAnswer: 536*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + 109 - (-1 + 17).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, 5, 17\/5, 388?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**6\/720 - 7*w**5\/18 - 1225*w**4\/36 + 51*w**2 - w. Determine n, given that k(n) = 0.\nAnswer: -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-32)*h*h*((h*h**(-1\/32))\/h)\/h*h\/h**(-26)*h**(-24) assuming h is positive.\nAnswer: h**(-865\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4851 + 4852. Which is greater: 1\/3651 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 - 62 - 17*d)*(0*d + d**2 + 0*d) to u + i*d**3 + o*d**2 + v*d and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -337\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8625*p**3 + 14*p**2 - 5*p + 88.\nAnswer: 51750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 360 = 4*s - 1077, -3*s - 5*q + 1075 = 0. Let n = s + -247. What are the prime factors of n?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3 - 5. Let p be ((-65)\/(-13))\/(2 - n). Suppose -76 = -2*r - 2*z, -3*r + 107 + 7 = -p*z. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/7)\/(r*r**8\/r*r))**(-39) assuming r is positive.\nAnswer: r**(2613\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 5*u**3 - u**3)*(3*u + 0*u - u) + 6 - 287*u**4 + u**2 + 285*u**4 - u - 2 + 3*u**3 - 3*u**3 - 3*u**4 + (3 - 2 + 0)*(2*u**4 + 2*u**4 - 2*u**4).\nAnswer: -9*u**4 + u**2 - u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 24, -9, -4 in descending order.\nAnswer: 24, 5, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -245. Calculate the remainder when v is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 63 + 2)*(-7 + 6 + 14 + (6 - 3 - 1)*(0 + 3 - 1))*(0*a + a + a).\nAnswer: -3740*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 13*g - 13. Let y(l) = -l**2 - 6*l - 6. Let i(j) = 4*r(j) - 9*y(j). Suppose 12 = -f - 3*f. What is i(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14744 - 14742.20018. Let f = o + -1.8. Round f to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 2 - 19 + 2220*d + 1914*d - 6039*d + 1909*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3013406 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11510 is divided by 959.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2. Let q(o) = 36*o - 73*o - 2*o**2 + 37*o. Calculate s(q(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 22. Suppose m*i + 12 = 3*g, -8*g - 30 = -11*g - 3*i. Is g at most as big as 102\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 11*g + 0*g**2 + 19\/4*g**4 - 16 + 0*g**3. Differentiate b(t) with respect to t.\nAnswer: 57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 36*m**2 + 5*m + 5. Let q be x(-3). Let n be (q\/(-79) - 0) + (-8 - -12). Let d be (-1)\/5 + (-12)\/(-10). Is d bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*z - 3061*z + 624*z + 179200 = 0 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10011010 (base 2) to base 9\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 267?\nAnswer: -1\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -y - 4*u, 121*y + 114 = 125*y + 2*u. Solve -2*l - 79*a - 2 = -74*a, 5*a + y = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.086? (a) -15 (b) -13 (c) 0.4 (d) -4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(104) - 4*sqrt(104)*-1 - sqrt(104))\/(sqrt(200)*5).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 2. Let b be p(-5). Let a(w) = 13*w**3 - 2*w**2 - 2*w + 4. Is a(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 4*a - 3. Let x be h(3). Suppose x = -4*u + 26 - 6. Suppose -2*q + q - 10 = -4*c, -u = -3*c + 2*q. Solve -6 = -c*f - 0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19407 (base 12) to base 16\nAnswer: -9007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27343372 divided by -139507.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 45 + 35 = 0. Let m be (24\/(-260))\/(6\/s). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b + 30. Let o be p(-4). Suppose 1 = -5*d - 3*n + 2, -o*d + 16 = -4*n. Let k(i) = -i + 7. Let g be k(0). Solve g*u - d*u = 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -7*s**2\/2 + 4*s - 8. What is the tens digit of f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61431, 122858, 184285, 245712?\nAnswer: 307139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 728034, 728037, 728040, 728043?\n\"Answer: 3*a + 728031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49990*n + 2092*n**3 + 49990*n - 1 + 11080*n**3 - n**2.\nAnswer: 13172*n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -4 (c) -29 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-4)*324\/27. Solve z*b + 83 = 293 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4\/267 (b) -8 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/111, -8\/3, 2\/7 in decreasing order.\nAnswer: 2\/7, -2\/111, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 42, 95, 192, 345, 566?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 847733 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-835)\/334*4\/(-231430))?\nAnswer: 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 6. Let n be f(-4). Suppose -5*q = -n*q + 10. Let g = q - -2. Which is smaller: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -330.7 - -330.6997166. Round x to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.59384889593 - 2.09\nAnswer: 16.50384889593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 2*w + 1. Let f = 5 + -5. Suppose f = -g - 0*g - 2. Let q = g + 3. What is o(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04249 - 0.04256334. What is a rounded to 6 decimal places?\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + h**2 - 3*h - 2. Let o be u(-1). Suppose 9 = 2*n - o. Suppose 992 = n*y - q + 2*q, y - 211 = 4*q. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9 - 20*v - 2 + 1 + v**3 + 8*v**2 - 1. Let m be d(-10). What is the greatest common factor of m and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*z + 2*x, -3*x + 4*x - 12 = -5*z. Differentiate 11 - 12*l + 12*l + 6*l**z + 22*l**2 wrt l.\nAnswer: 56*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-5 - (3 - 12) - 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = -21*c + 1377. Suppose -c*v = -64*v + 20. Solve -2*z + v - 14 = 2*j, 3*j + 6 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12801 and 48945?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcecccewyye. What is prob of picking 2 c, 1 e, and 1 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7496032 divided by -4?\nAnswer: -1874008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/11)\/f)**(1\/3) assuming f is positive.\nAnswer: f**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006134 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 48*a**3 - 5*a**2 + 33*a - 5. Let d(o) = -72*o**3 + 8*o**2 - 49*o + 8. Let t(l) = 5*d(l) + 8*i(l). Find the second derivative of t(z) wrt z.\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275423.97 rounded to the nearest 1000?\nAnswer: 275000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -53749 * 5\nAnswer: -268745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 11*z + 12. Let m = -46 + 2. Let o = -33 - m. What is the remainder when 33 is divided by a(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -64, -165, -316, -523, -792, -1129?\n\"Answer: -h**3 - 16*h**2 - 2*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3\/(6\/(-2))). What is the tens digit of (z - -10)\/1 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**2\/2 - 3*a - 4. Let q be m(-8). What is the biggest value in -1, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11566110 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35296845.\nAnswer: 3, 5, 17, 97, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*s + l, -s - 9 = 4*l - 0. Suppose -4*o - 9 = s*g - 19, -5*g = 5*o - 15. Factor i + 1\/2 - i**3 - 1\/2*i**g.\nAnswer: -(i - 1)*(i + 1)*(2*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 d when four letters picked without replacement from nddndddnnnnnnnnn.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 52. Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 53*q**3 - 5*q**2 + 2*q. Let i be v(1). Solve 12 = i*h - 62*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a34c + 1?\nAnswer: a34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2338029, 2337990, 2337959, 2337936?\n\"Answer: 4*p**2 - 51*p + 2338076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -89*k**2 + 89*k**2 + 13*k**4 + (2*k - 3*k + 0*k)*(-91 - 23*k**3 + 91) - 4*k**3 + 10*k**4 + 4*k**3.\nAnswer: 46*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1754 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9504.806 litres?\nAnswer: 9504806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 16*q - 1. List the prime factors of x(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/4)\/(q*q**(-6\/11)))\/(q**(-6)*q**(2\/15)))**(-2\/37) assuming q is positive.\nAnswer: q**(-3077\/12210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 7 + -1)*(-2 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let z = 15383 - 15383. Which is the third smallest value? (a) 4 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 - -97?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -63. Solve -3*r + 10 = 4*c, t = -r - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 930*f**3 - 165*f**2 - 17*f - 92408932 wrt f.\nAnswer: 2790*f**2 - 330*f - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -64, 3, -28.\nAnswer: -64, -28, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.2336ml in litres?\nAnswer: 0.2582336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -201 - -209. Let l(f) = f**3 + 7*f**2 - 9*f - 4. Let m be l(-8). Calculate the highest common factor of x and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117.6848ml to litres.\nAnswer: 0.1176848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.6 in 4, 0, 15\/2, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -51.9*-1.4\nAnswer: 72.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3 + 5997*k**2 + 317928*k + 4159428 = 0. Calculate k.\nAnswer: -26, 2051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28021 is divided by 3992?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30476, -30457, -30438, -30419?\n\"Answer: 19*c - 30495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -830*s + 17730. Determine m(23).\nAnswer: -1360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 2)\/(-1 - -2). Let o be z\/((1 - 3)\/(-6)). Is 16 a factor of (4 + o)*-1 - -33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 13. Let w be f(-9). Suppose -3*a - 4 = -w*a. Suppose -3*m - 95 = -a*u, 5*u + m + 0*m = 95. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 14. Let y(t) = t**3 - 14*t**2 - 14*t - 9. Let l be y(15). Let u be q(l). Suppose -58 = -g + 3*h, u*h + 0*h - 174 = -3*g. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4008 and 168264524.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0, -0.62?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*t - 126*t - 63 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311\/1*(19 + 3 - -31)?\nAnswer: 53, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.2 + 2. Let z be -6 - (-214)\/18 - 6. What is the second smallest value in a, z, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y - 47. What is o(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 3*h**3 - h**4 - h**3 - 4*h**3 + 5*h**3 as i + n*h**2 + b*h**3 + u*h + p*h**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78120793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*b**3*p**3 + 2*b**3*p + 8*b**2 - 2*b*p*w**2 - 5*b*w**3 - p**2*w**3 wrt p?\nAnswer: 762*b**3*p - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.7666 weeks in seconds?\nAnswer: 123842839.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 4*t - 3. Let b = -4 - -6. Let r be k(b). Let l = r - 4. Is -3 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 13, -1\/2, 388542 in decreasing order.\nAnswer: 388542, 13, -2\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*p - 3*p**3 - 18*p - 18*p + (p + 5 - 5)*(-p + p - p**2).\nAnswer: -4*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c**3 + 26844*c**2 - 35768*c + 11920 = 0 for c.\nAnswer: 2\/3, 1490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 6. Let r be t(5). Let v(a) = -a**3 - 3*a**2 + 2*a. Let m be v(r). Suppose -4 = q - 7. Solve -c = 3*b - 4*b - m, -q*c = -4*b - 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -342435.\nAnswer: 342435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - m**2 + 1. Let o be j(-1). Suppose 5*v - 2*l - l = 541, 0 = o*v - 5*l - 205. What is the highest common factor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*2 + 2 - (0 + sqrt(13) + sqrt(104)\/sqrt(8) + -1))**2.\nAnswer: 48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 354, 713, 1074, 1437, 1802, 2169?\n\"Answer: q**2 + 356*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/194 or -1?\nAnswer: -1\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1533054 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -279*q - 31. Let i(l) be the third derivative of -35*l**4\/24 - 2*l**3\/3 - 2707*l**2. Determine -4*b(u) + 31*i(u).\nAnswer: 31*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s - 16. Let g(n) = 10 - 12 - 2*n + 18 - 3*n. Let z(k) = 5*g(k) + 4*o(k). What is the least common multiple of z(8) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (23 + 5 + 16)) + 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 3. Let g be y(-3). Let m be (g\/(-10))\/(32\/80). Is (-693)\/(-14) - m\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211155408 * 2\nAnswer: 422310816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -132 + 14*p - 34*p - 127*p - 114 - 41*p with respect to p.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = -c + 5610. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*l**3 + l**2 - 196 wrt l?\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(-1 + (sqrt(13) - sqrt(52)\/sqrt(4)) + sqrt(13) - (sqrt(13) - (sqrt(13) + (sqrt(13) - (sqrt(260)\/sqrt(5) + sqrt(52))\/sqrt(4)))**2 - sqrt(13)))*2.\nAnswer: -12*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2331 - 435*j - 2331)*(-6 + 2 + 3 - 1 + 1 - 1 + (0 - 3 + 2)*(-3 + 7 - 2)).\nAnswer: 1740*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1953897347.\nAnswer: 211, 2311, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 7. Let y(r) = -7*r**j - 8*r + 4*r**2 - r**3 - 5*r**2 - 3. Let a be y(-7). Put -0.4, a, 0.5 in increasing order.\nAnswer: -0.4, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*b**2 + (-3*b**2 - 3*b + 3*b)*(-3 + 0 + 5) + 566*b - 566*b + 58*b**2 as x*b**2 + r + o*b and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.9 (c) 1\/4 (d) -87\/32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 3*t**3 + 6*t**4 + 132*t - 10*t - 58*t - 20*t**4 as c*t**2 + y + z*t**3 + g*t + p*t**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02446589 less than -0.052?\nAnswer: -0.07646589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k - 1. Let a be d(-1). Solve 2*f + s = 3, 3*f - 2*s = -5*s + a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28701997 - -28701980.076597. Let j = f + 101.923305. Let o = j - 85. What is o rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l**(-2\/11)*l)))\/l)\/(((l*l**5)\/l)\/l)*l\/(l\/(l*l**(3\/8)))*l\/l**(-2\/13))**(-5\/14) assuming l is positive.\nAnswer: l**(9455\/16016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -74*v**2 + v. Let q be g(2). Let z be (-2)\/3 - q\/9. Solve z = 4*p - 4*h, -2*p - p - 5*h = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 3.08. Let p = 200.326 - -0.674. Let k = 201 - p. Which is the second biggest value? (a) -5 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(51) - sqrt(51) - sqrt(51))\/sqrt(3).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*z - 156663 = -293*z - 865*z + 60*z for z.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1 (base 13) in base 12?\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1065042, -1065044, -1065046?\nAnswer: -1065048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -40805668 less than or equal to -40805675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.193552542 rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2253b1 (base 12) to base 2\nAnswer: 10000101110111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (2 - (3 + -3))) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12403369523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 536852907 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7750.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8491 and 6800078?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2696 is divided by 665?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -24. Suppose -3*f + 0*f + 3*l = 0, 0 = l - k. Suppose 1796 = -2*m + j, 0 = -m - f*j - 694 - 222. What is m rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-7 - -7 - -8 - 9 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {i: 1, q: 1, k: 2, z: 2, m: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 929115161 to the nearest integer?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -12*k. Suppose -5*p = 4*d - 6*p, 2*d + p = 0. Let c(t) = 7*t**2 + d*t**2 - 8*t**2. What is c(s(j))?\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 71718*b**2 + 424432707*b - 50203914108.\nAnswer: 3*(b - 116)*(b + 12011)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 2 = 2*u. Let w = -20 + u. Suppose 2*v = 5*n - 23, -4*v + 1 = 3*n + w. Let f(j) = j**3 + 4*j**2 - j + 2. What is f(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**3\/2 + 2262*x**2 + 22595*x\/2 = 0.\nAnswer: -4519, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006821448 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15951?\nAnswer: 3, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31563, 31551, 31539?\n\"Answer: -12*l + 31575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -668 - 410. Calculate the highest common factor of c and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016510014 to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1*sqrt(931)*-2)**2 + 0)*-6.\nAnswer: -22349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 311147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 30 + -70 + 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, 1 n, and 1 x when four letters picked without replacement from {m: 1, o: 1, x: 3, w: 3, z: 3, n: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 65.61157948451 and 0.\nAnswer: 65.61157948451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3\/4 (c) -5 (d) -6\/7 (e) -126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34 + 25*r - 343*r**2 + 338*r**2 - 4.\nAnswer: -5*(r - 6)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217 + -380. Let o = 162.94 + f. Sort o, 1\/4, -1.\nAnswer: -1, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*x - 4 + 4 + 1 to the form h*x + f and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34301 - 0?\nAnswer: -34301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 35 = 2*o, -3*o - 6 + 1 = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t**2 + t + 5. Let p(u) = -u**2 + 12*u + 60. Let d be p(16). What is v(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyj when three letters picked without replacement from {w: 2, k: 6, j: 4, d: 1, y: 4, o: 2}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*q**4 - 37656*q**3 - 1866248*q**2 + 37421696*q - 159990272.\nAnswer: -2*(q - 8)**2*(9*q + 1118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-6)*12\/(-14) + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -9. Let a(m) = -m**2 - 4*m + 2. What is a(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -73. Suppose -2*h = -t - 8, -t = z*t + 5*h - 20. Sort -3, 5, t, 1 in decreasing order.\nAnswer: 5, 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/5 + 24364*d**3\/5 + 754578*d**2\/5 + 1241028*d + 1094985 = 0. Calculate d.\nAnswer: -24333, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(5)*-1*4.\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67390.8 - -67390.8284519. Let k = 356 - 355.9715. Let i = x - k. Round i to six decimal places.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29\/58*(-4)\/4*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993095 times 84?\nAnswer: 167419980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 329685 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1701)\/3024)\/((-6)\/224)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -10. Let c be (p\/25)\/((-1)\/(-30)). Factor 2\/5*x**3 - c*x**2 + 24\/5*x - 16\/5.\nAnswer: 2*(x - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -411002 (base 5) to base 15.\nAnswer: -3dd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*l + 4, -3*r - l + 23 = -7*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/48216 and 11\/119868?\nAnswer: 68804232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -24 - (-56 - (-26 - 38))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*v - 482322 = -189*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 7 = 3*v, -5*v - 17 = 3*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by -2.\nAnswer: -99\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -2749 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 13. Let h be f(-13). Let j(v) = -3*v**2 + 5*v**2 + h*v**2. Let g(l) = -9*l. Let z(o) = -11*o. Let p(q) = -5*g(q) + 4*z(q). Calculate j(p(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/4)*o)\/(o**37*o) assuming o is positive.\nAnswer: o**(-145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 1, k: 1, n: 3, y: 10, m: 2}. Give prob of sequence em.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2187448 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*i - 313 + 63 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155 and 425?\nAnswer: 13175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 1248 = 42*w. Suppose w*q = s + 35*q + 29, -s - 11 = 2*q. Put -0.3, 10, s in decreasing order.\nAnswer: 10, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 114590 = 53210. What are the prime factors of t?\nAnswer: 2, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fefefffffe. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.0158, 0, 0.07, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u - 49*u + 13 + 20*u + 2 + 21*u. Let f(k) = 2*k + 8. Calculate 7*f(b) - 4*g(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruiu when four letters picked without replacement from {z: 3, w: 5, i: 3, r: 2, u: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/132 and -5\/506?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/(-20))\/((-58)\/(-10)) + (-69 - (-11704)\/176)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8341 is divided by 384?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 5 = -2*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -49*u**2. Let v(x) be the third derivative of -x**4\/12 - 2*x**2 + 727*x. Give b(v(m)).\nAnswer: -196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1\/2 (c) 2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44405 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 - 248*s + 1140 = 0. Calculate s.\nAnswer: 5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 400?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 522 and 523 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*t - 0 + 21, -4*h = 5*t - 26. Let i(p) = p - 3. Let d be i(3). Suppose 0 = -q - d + 3. Solve 4*k = q*j - 6*j + t, 0 = 4*j - 4*k + 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, a: 1, l: 1, q: 1}. What is prob of picking 1 m, 1 l, and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94388596*l*u**3 + 108*l*u - 2*l + 2315*u wrt u.\nAnswer: 566331576*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -68*s**2 + 5*s - 5. Let q be (-30)\/(-21)*(-581)\/166. Let g(r) = 34*r**2 - 3*r + 3. What is q*g(a) - 3*c(a)?\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*b + 2710 = 169 - 1334 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -8. Suppose -385*c + 76 = -383*c. Let q be w - (1 + c\/(-14)). Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/4, -2624, 12\/137?\nAnswer: 12\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -12142413?\nAnswer: 12142412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-90)*(-1)\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 8 = 2*m. Let o = -29 + 45. Let x be (4\/o*0)\/1. Solve -2*s = -6, -2*a + x + m = 5*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 298.7, -0.26, -2\/3, -0.9 in descending order.\nAnswer: 298.7, -0.26, -2\/3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6412506900?\nAnswer: 2, 3, 5, 21375023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3*v**2 + 2*v**2)*(-79*v + 55*v + 82*v).\nAnswer: -116*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2.4 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 10514*g + 21036.\nAnswer: -2*(g - 2)*(g + 5259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o**2. Let a(g) = 5*g + 61 - 61 - 7*g. Calculate a(h(s)).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-30))\/((-900)\/3375)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44702531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 25*a**2 + 8*a - 14. Let z(n) = 8*n**2 + 3*n - 5. Calculate 4*r(y) - 11*z(y).\nAnswer: 12*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + (sqrt(168)\/sqrt(3))\/sqrt(2) - sqrt(28) - sqrt(28))\/((sqrt(40)*-2)\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g - 2*g + 3*g)*(g**2 + g**2 + 0*g**2) + 4*g**3 - g**3 - g**3)*(-33 + 11 + 17).\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 1. Let b(i) = 3*i**2 + 6*i - 6. Let g(n) = -b(n) + 2*m(n). Give g(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10764*d**2 + 10791*d**2 + 10461*d**2 - 31472*d**2.\nAnswer: 544*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 - (-28 + 18 + -11 - (1 + -5))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4778707961 - 4778708147.00000248. Let d = -186 - f. Round d to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.08 (b) -1 (c) -0.4 (d) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000384997751 rounded to 6 decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 885591944.\nAnswer: 885591944.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-512)\/448)\/((-40)\/28)*-20\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 40919.\nAnswer: -1\/40919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -489, -1778, -3833, -6654, -10241?\n\"Answer: -383*a**2 - 140*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 23, -1\/4, -915?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -882 - -1577. Suppose 4*x - 556 = -b, 4*b - 2*b = 5*x - p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(2)) + (sqrt(2) - ((sqrt(2) - sqrt(18))*-3)**2).\nAnswer: -66 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**4 - 78*j**3 - 597*j**2 - 1602*j - 1080 = 0.\nAnswer: -15, -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9663 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 139.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-4)\/63*-33. Suppose -2*j + 2*f = -10, -j - 2*f = 5 - 1. Sort 2\/5, h, j in descending order.\nAnswer: j, 2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 5*z**2 + z + 4. Give n(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**5 + 32779*c**4 + 303483*c**3 + 533246*c**2 + 114856*c = 0. What is c?\nAnswer: -7, -2, -1\/4, 0, 8204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = 27. Let y(g) = 2*g + 3. Let p be y(x). What is the units digit of 6\/p + (-17)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*r = 21, 3*m - 5*m - 3*r = -13. Solve 4*b - 3*f = -2*f + 16, 3*f = -m*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 16*n**2 + 5*n - 5. Let p(f) = 152*f**2 + 48*f - 48. Calculate 5*p(i) - 48*q(i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 0*f + 5245*f**2 - 2*f.\nAnswer: 5245*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23101213212 (base 4) to base 16\nAnswer: 2d19e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -513102*v - 34890947. What is y(-68)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + 3*((1*sqrt(300) + sqrt(300))**2 + sqrt(300)) + 5*(-3*sqrt(300))**2.\nAnswer: 40*sqrt(3) + 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 772770.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1573) - -2*(0 + sqrt(1573))).\nAnswer: -2 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.78 + 2.68. What is the nearest to -0.1 in -5, x, 4, -1.8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.145517 decades to years.\nAnswer: 61.45517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*-1*-13*(-8)\/104.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**3 + 18. Let a(v) = 22*v. Calculate t(a(b)).\nAnswer: 1452*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5 + n - 19*n + 16*n. Let d(k) = 2*k - 5. Give -2*d(v) - 3*g(v).\nAnswer: 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 + 6 = 0. Let j(n) = 3*n - 3. Let m(t) = 1. Let s(g) = x*m(g) - j(g). Let y(i) = 2*i + 5. Let k be 5\/3*(5 - 2). Calculate k*y(l) + 4*s(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 2:25 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 - 233*a + 18. Let h(q) = -8*q**2 + 582*q - 47. Calculate -13*f(s) - 5*h(s).\nAnswer: s**2 + 119*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 4*w + 36 = 0. Suppose 5*c - w = -4*k + 47, -48 = -4*c - 3*k. Let b = 12 + -6. Calculate the greatest common divisor of c and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 29 - (-25 - (21 + -45)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 46554*s - 372438. Calculate j(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -385024*j**2*n**2 + j**2*n + 1944476*n**2 + 10*n - 1 with respect to j.\nAnswer: -770048*j*n**2 + 2*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.44. Let c = 8.86 + a. Let q = c - 4. What is the nearest to 0 in 0.5, 1, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u**3 + 20*u**3 - 17*u**3 + 108614*u - 108612*u.\nAnswer: 25*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40762, -40761, -40760, -40759, -40758, -40757?\nAnswer: -40756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 89*k**2 - 186*k**2 + 94*k**2 - 1.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 3*t + 10. Suppose 5*u - 35 = 5*p, 4*p = -3*u - 7 - 0. What is the remainder when b(0) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8669 - 78020\/9. Sort j, 1\/3, 105.\nAnswer: j, 1\/3, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915412357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 208 + 277 = -x, 3 = -3*x. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 19. What is r(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73609 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.068271 to two dps.\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 249242.\nAnswer: 2741662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-2) - -5)*-2. What is the remainder when h + 32 - -5 - -4 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w. Let m(n) = n - 1. Let u(l) = -2*m(l) + x(l). What is u(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19006 + 4.80994. What is the biggest value in 1, 249.3, d?\nAnswer: 249.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = z - 88. Suppose z*j - 680 = 26*j. Calculate the greatest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 435 or -109?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1789\/359898 + 1\/1558. Let y = c + 316\/231. Calculate the common denominator of 115\/(-6) + 3\/(-3) and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 - 8800*r**2.\nAnswer: -r**2*(r + 17600)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + -5*(sqrt(7) + sqrt(63))*3 + sqrt(21)\/((-1*-1*sqrt(3) - sqrt(3)) + sqrt(3))*6).\nAnswer: -270*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 255372899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2404 = -3*g, -5*o = g + 4*g - 12060. Suppose 0 = -9*b + o - 706. What is the highest common divisor of b and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:56 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2980900 by 114650.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((110\/(-18))\/(525\/(-1260)))\/(12\/(-3))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -689 + 1419. Suppose w*n + 112 = 737*n. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 4, -23, -7, 7, -3 in increasing order.\nAnswer: -23, -7, -3, -1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4\/9 - 280*z**3\/9 - 4900*z**2\/9 = 0. What is z?\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(35\/(-294)*-9 + (-9)\/(-21)). Which is the fifth biggest value? (a) -2\/3 (b) 2\/7 (c) 0.1 (d) -26 (e) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/(-3003)*-77)\/((-4)\/3).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7806000 rounded to the nearest 100000?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 13, y: 1, q: 3}. Give prob of sequence qj.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1701\/6)\/((-3)\/4). Let v be (420\/i)\/(4\/(-18)). What is the fourth biggest value in -4, 4, -2, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 13 + 19 - 26 + 30*t**2 to the form r*t**2 + a*t + u and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(((sqrt(48)\/sqrt(2))\/sqrt(12) + 4*(1 + sqrt(2)) + sqrt(2))**2 + -5) + 2.\nAnswer: 144*sqrt(2) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 47*s**2 + 56*s + 46. Is m(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5023504*u**2*x - 76*u*x - 31*u + 2*x - 148 wrt u?\nAnswer: 10047008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 53669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2389192, 4778417, 7167642, 9556867, 11946092, 14335317?\n\"Answer: 2389225*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (3*(sqrt(152) + (sqrt(152) - (-3*sqrt(152) + sqrt(152))) + sqrt(152)))\/sqrt(8) + -4 + -1*sqrt(19)*-3 + -2.\nAnswer: -13 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 0*i**5 + 0*i**3 + 17\/6*i**6 + 0*i + 0*i**4 - 15 + 4*i**2. What is the second derivative of d(h) wrt h?\nAnswer: 340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -747221.3849.\nAnswer: -747220.9849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1736*g**3 - 7 - 2083*g + 1746*g**3 + 2083*g + 7.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddedwe. Give prob of sequence wede.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.4, 5, -0.16, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187264549 is divided by 13268.\nAnswer: 13265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 19 + 11 = 0. Sort -4, -1, g in decreasing order.\nAnswer: g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -694, -1384, -2074, -2764, -3454, -4144?\n\"Answer: -690*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*j**3*z**3 + 2*j**3*z**2 - 2*j**3 + 18*j*z**2 + 5*z**3 wrt z?\nAnswer: 288*j**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 66*c - 69.\nAnswer: 3*(c - 23)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 468.452 to the nearest integer.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 g, and 1 z when three letters picked without replacement from vvvgvvvmvgmrrmzzzz.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/27 (b) 0 (c) 516\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4829 by 21.\nAnswer: 4829\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 + 1)*(-i + 5*i - 3*i)*(-4 + 750*i + 942*i - 1439*i).\nAnswer: 1518*i**2 - 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -201. Suppose 4*p - 53 = 11. Calculate the remainder when c is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -24154*q. Let p(h) = -2*h - 19. Give n(p(j)).\nAnswer: 48308*j + 458926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.799 and 152300?\nAnswer: 152302.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -30*z + 4. Let v(n) = 45*n - 6. Calculate 7*m(w) + 5*v(w).\nAnswer: 15*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 17*v + 61. Give p(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 431928727*u**2 + 646221062*u wrt u?\nAnswer: 863857454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -46. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 25*i**2. Let j(y) = -14*y**2 + 3*y. Let s(x) = -64*x**2 + 14*x. Let b(n) = 28*j(n) - 6*s(n). What is b(g(z))?\nAnswer: -5000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**4\/2 - 116*d**3\/3 - 512*d**2 - 2112*d + 6401. Factor z(o).\nAnswer: 2*(o - 66)*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/520 and -89\/4518280.\nAnswer: 4518280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 25*c**3 + 292*c**2 - 9. Let i(j) = 8*j**3 + 96*j**2 - 3. Give 2*g(b) - 7*i(b).\nAnswer: -6*b**3 - 88*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q**3 + 2*q**3 - 4*q**2 - 2*q + 5*q. Let g(b) = b**3 - b**2 + b. Suppose -5*i = 3*c - 38, -4*c = 4*i - 7*i - 12. What is c*g(h) - 2*j(h)?\nAnswer: 2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 + 3*j**2 - 9*j - 1. Let p(u) = 4*u**3 - 4*u**2 + 10*u + 1. Let b(o) = 6*n(o) + 5*p(o). Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*v**3*z**3 + 8*v**3*z**2 + 2*v**3 wrt z?\nAnswer: -18*v**3*z**2 + 16*v**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 917 divided by -131\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413\/4 + -1243\/12. Which is the closest to 15? (a) 2\/11 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/7 - 526*q**4\/7 - 3746*q**3\/7 - 9146*q**2\/7 - 9168*q\/7 - 3240\/7 = 0 for q.\nAnswer: -3, -2, -1, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.621004 - 10.032?\nAnswer: -9.410996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 918 by -6.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 43*c + 66. Determine t(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 44*g - 832 - 98*g + 1072 - 8*g**2 + 334*g + 63*g**2 = 0.\nAnswer: -4, -12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605 = -37*n + 48*n. Suppose -n*l - 4063 = -56*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*c - 3, -4*o - 5 = o - 5*c. Let b = 5 + -7. Is o < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d\/((d*(d\/(d*d\/((d\/(d\/(d\/(d**(-3)*d))))\/d)))\/d)\/d*d))\/d))**(-2\/43))**(-50) assuming d is positive.\nAnswer: d**(100\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -1985, -38 in descending order.\nAnswer: -38, -46, -1985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1044*x = -1046*x + 4*u - 20, -u = x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v)**(12\/11)*((v*v**(-2\/3))\/v)\/(v\/(v**(1\/13)\/v)) assuming v is positive.\nAnswer: v**(-2515\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 39*w**3 - 3*w**2 - 96*w. Let m(z) = -z**2. Determine s(m(b)).\nAnswer: -234*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3902.\nAnswer: 2, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -2526.6.\nAnswer: 1010.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z - 9 = 0. Suppose -4*c - 2*o = o - 167, 99 = 3*c - z*o. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**2 - 55*h + 0*h**2 - 7*h**2 + 0*h**2.\nAnswer: 4*h**2 - 55*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*o - 49, 7 = 5*n + o - 28. Suppose -2*b = b - n. Solve b*u - 3*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124\/3*t**2 + 128\/3*t + 52\/3*t**3 - 8\/3*t**4 - 16 = 0 for t.\nAnswer: 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n\/n**(-7\/2))*n**(-11\/5)*(n**17\/n)**(1\/7) assuming n is positive.\nAnswer: n**(-309\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 49*i - 2063. Determine a(42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.53 - -39.47. Let i = o - 18. Let k = -17 + i. Which is the second biggest value? (a) k (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4110 take away -123.3?\nAnswer: -3986.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3708.477 grams?\nAnswer: 3708477000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (2 + -9 - (-2 + (-5 - -4)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Let z = -2484\/11 - -226. Which is the closest to -0.1? (a) y (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 137 and 21646?\nAnswer: 21646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -11220344?\nAnswer: 11220354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1, -0.114, 1\/329?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 13*q**3 - 2*q**2 + 3*q + 3. Let w(t) = 14*t**3 - 3*t**2 + 4*t + 4. Let j(v) = 4*b(v) - 3*w(v). Is 5 a factor of j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78)*-4 + sqrt(78))\/(1*sqrt(6)*-2 + sqrt(6)).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*h**2 + 0*h**2 + 0*h**2)*(2*h + 0*h - 4*h) - 3*h**3 + 6*h**3 + 5*h**3)*(-5*h**2 + 3*h**2 + h**2).\nAnswer: -20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23192 = -4*n + 4*b + 74676, 5*n + 3*b - 122351 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o = 5*f - 75, o = 5*f + 45. Calculate the smallest common multiple of 60 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y, -2*y + 3 = -b + 4. Let q(o) = o**3 - 8*o**2 + 9*o - 9. Let x be q(8). What is the greatest common divisor of x and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 5561*h**2 - 1720786*h - 3419320.\nAnswer: (h - 5855)*(h + 2)*(h + 292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/30485785 and -68\/11231605.\nAnswer: 213400495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-1568))\/(15\/35).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12052 + 216923\/18. Calculate the common denominator of 1 + 46\/120*-1 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258196?\nAnswer: 2, 17, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -424001*g**3 - 2*g**2 - g. Let b be o(-1). Suppose 0 = 138*z - 142*z - b. What is z rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 37*j**2 + 6*j. Let q(z) = 15*z**3 - 31*z**2 + 30*z - 103. Let a be q(4). Let c(r) = 2960*r**2 + 481*r. Give a*u(k) - 6*c(k).\nAnswer: 37*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 740636.\nAnswer: -3\/740636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 143748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -186c?\nAnswer: -1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 59?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 26508.26ug?\nAnswer: 0.00000002650826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*(-380)\/152*18\/15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4993 - 4998. Is 0.64 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2372394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 110909, 222495, 334091, 445697, 557313, 668939?\n\"Answer: 5*k**2 + 111571*k - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (525\/70)\/(2\/4). Suppose 9*w - n*w + 2262 = 0. What are the prime factors of w?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41830 and 5170?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*3)**2*-1 - (sqrt(22)\/sqrt(32) + sqrt(11) + (sqrt(539) - sqrt(539)*2)**2).\nAnswer: -4103 - 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 173*v + 35876. Determine j(-207).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 19*x**4\/4 - 7*x**3\/6 + x**2. Is p(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2581 + 2.1381. Which is the biggest value? (a) y (b) -56 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*l**2*p + 4*l**2 - 12*l*p*r + l*r - 27*l wrt p?\nAnswer: -12*l**2 - 12*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4532?\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiwiiwiiiiwww. Give prob of picking 4 i.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - v = 6128, 63*v - 65*v = -3*x + 4601. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11333 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 83008 = 5*v + 99047, -109205 = 3*v - 4*f. Let u be (-7)\/(v\/(-15589)) + 3. Is 1 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-4 - -44) + 1 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1101873, 3, 4 in descending order.\nAnswer: 1101873, 18, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5162\/7 + -739. Let q = 21351\/1484 - 666\/53. Let y = q + x. Is y > -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22160 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from qqcqteqqxeetq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-152)\/(-20) + (-2)\/(-5). Let f(g) = 5*g - 5. Let i(h) = -4*h + 4. Let j(n) = 3*f(n) + 2*i(n). Is j(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -111. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -103*m + 104*m + 50, -2*w - 88*m - 4222 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4240422.\nAnswer: 2, 3, 37, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.222 + 110.222. Let c = 110 - k. Is c <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/(-21)*((-98)\/(-315))\/(-1). Find l, given that -2\/5*l**3 - 4\/5 + h*l**2 + 2\/5*l = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117 + -109. Solve -2*b - x + 4 = 0, -z = b - 4*x + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218818222 - 627730\nAnswer: -219445952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 55*z**5 + 14997*z**4 - 112989*z**3 - 37505*z**2 + 1178850*z - 378000 = 0?\nAnswer: -280, -3, 18\/55, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 166 + 536. Let g(f) = f**3 + 12*f**2 - 16*f - 19. What is the remainder when h is divided by g(-13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(144) - sqrt(144)*5)\/(1*sqrt(300)).\nAnswer: 16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73888, -295557, -665006, -1182235?\n\"Answer: -73890*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/9*3\/2. Suppose -4*d = -3*d, -x*d = 2*j. Suppose 2*p - 3 = 7. Solve -p*z + 4 = 2*l, j = -z + 4*l - 2 - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (36 - 59) + (-1 - 1) - 26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(147\/35))\/(((-195650)\/60)\/91).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4296 + -2911. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - l**3 - l**4)*(1116 - 1116 - 264*l + (-3 + 6 - 2)*(-7*l + 2*l - 2*l)).\nAnswer: 271*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*f + 89*f - 30*f - 31*f - 35 to n + u*f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -7*c**6\/120 - c**5\/12 - c**4\/12 + 5*c**3\/6 - 174*c**2 - 1. Let z(r) = r**2 - 1. Give b(f) + 5*z(f).\nAnswer: -7*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7)\/p)**(1\/17)\/(p**0*p)**(-15)*(p\/(p*p*p\/p**(-1)*p*p))**(-10)\/(p**(3\/4)\/p*p**(-6)\/p) assuming p is positive.\nAnswer: p**(34371\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let m be 9 + -3 - (1 - -2). Solve r*o + m = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-12)*1935\/2150.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522463 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*c + 20 = 0, -2*j + 5*c - 3*c = -6. Let y(l) = l - l - j*l. Let u(x) = -x. What is y(u(k))?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 10*j - 7. Let v be x(9). Suppose -2*i - 1 = z, -4*i + 1 = z + 4*z. Suppose 0 = v*m + 4*h - 3 + 11, h + z = -m. Solve -m + 5 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3203 - 1374. Let k = x + -1798.48. Let i = k - 31. Round i to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13390116*d. Let i(p) = 2*p. Calculate o(i(h)).\nAnswer: 26780232*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.036 and 36669.2777.\nAnswer: 36669.3137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129 - 71*o - 256 + 122 - o**2 to the form z + m*o + y*o**2 and give m.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4\/7 - 3313857*n**3\/7 + 36452109*n**2\/7 - 49707279*n\/7 - 89473248\/7 = 0. What is n?\nAnswer: -1, 3, 9, 1104608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 778\/14 + ((-212)\/(-371))\/(7\/(-7))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.1585055 months?\nAnswer: 0.000096542125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2237998 to the power of 1\/2, to the nearest integer?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22324 is divided by 4439.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + (sqrt(2880) - (sqrt(2880) - (sqrt(2880) - ((sqrt(2880) - 1*sqrt(2880)) + -5))) - (2 + (sqrt(2880) - 3*sqrt(2880)))) + -5))**2.\nAnswer: -288*sqrt(5) + 25924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(6)\/sqrt(3)*-5)**2.\nAnswer: 20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 45*o**2 - 105*o - 55.\nAnswer: 5*(o - 11)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*b - 54, 4*b - 53 = -2*h - 1. Suppose 0*d = -4*d + 84. Calculate the highest common factor of b and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -18*m + 19*m. Suppose -4 = -6*q + m*q. What is the remainder when 3 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.109 and 0.04?\nAnswer: 1.00436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -m + 2*f + 10, f = 3*m + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2360301 and 119\/4720602.\nAnswer: 4720602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -12. Suppose -g*j - 4 = 0, -f = 5*j - j + 7. Let u = f + 56. What is u rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -346346 + 346348. Let m be (-6)\/(-7)*(20 - -1). Let h be 4\/m + (-46)\/126. Which is the nearest to 5\/4? (a) h (b) 1\/6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57\/77 + -5\/11. Let p = -0.7 - -2.7. Which is the third biggest value? (a) d (b) 2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227904380 to the power of 1\/2, to the nearest integer?\nAnswer: 35041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 287*j + 54. Let l be o(0). Calculate the greatest common factor of l and 2322.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.87 - 0.13. Let j = -5 - h. Let y = -6 + 4. Sort -3, j, y in decreasing order.\nAnswer: j, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 7 = 3*u, 3*u - 11 = i - 6*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406451 (base 7) in base 5?\nAnswer: 21442132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smmm when four letters picked without replacement from msmmmmmsms.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -4299959.5 and 92.\nAnswer: -4299867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14616570 + 6890370. What is t rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 11 + -4 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/5)\/(-3))\/((-4)\/(-170)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -370 + -9?\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 3*b - 5*b)*(-2*b**2 + 1 - 1) - 408*b**2 + 808*b**2 + 483*b**3 - 400*b**2.\nAnswer: 479*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1132*l - 1132*l - 485*l**2 in the form i*l**2 + m + c*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*q - 57, -369*q + 4971 = 2*r - 0*r + 910 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-12)\/(-8))\/((-1)\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - 4.4. Let g = v - -4.9924. What is g rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**6*w + 13*f**3*w - 16*f**3 + 7*f**2 - 10*f*w - f wrt f.\nAnswer: -120*f**3*w + 78*w - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -25. Let l = 15.6 + b. Let i = l + 2.5. What is the nearest to -2\/5 in 3, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2766.7351836 + 38457.4048384. Let v = 41196.14 - n. Let o = 28 + v. What is o rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + c - 1. Let i(x) = -23*x**3 - 27*x - 6. Let l(m) = -6*h(m) + i(m). Find the second derivative of l(z) wrt z.\nAnswer: -102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3\/5 + 33*n**2\/5 - 363*n\/5 + 24. Determine m, given that d(m) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 1\/10*w**7 + 0 + 0*w**3 + 0*w**6 + 17*w**2 + 0*w + 0*w**5 + 1\/2*w**4. What is the second derivative of f(t) wrt t?\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2546\/3 - 824. Let g = 8\/277 + 5215\/1662. Calculate the common denominator of g and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.39725\nAnswer: -0.1589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2. Let w(s) = -96*s. Calculate w(p(g)).\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10519\/15 - -701. Let x = s - -74\/165. Which is the third smallest value? (a) 4 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16361525*h - 495007642 wrt h?\nAnswer: 16361525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -491*s**7\/42 + s**6\/10 + s**4\/4 - 571*s**2\/2 + 2340*s. Find the third derivative of l(p) wrt p.\nAnswer: -29460*p**2 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a1 + 1a95?\nAnswer: 18e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 292*d + 5450. Determine v(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 - 9\/(-7). Let l = -8 + 7.7. What is the third smallest value in l, -1\/6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/114341 and -4\/11?\nAnswer: 1257751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1191*r**2 - 518908*r + 518908*r)*(3 - 4 + 0)*(3 - 3 - 1)*(2*r**2 - 5*r**2 + 0*r**2).\nAnswer: 3573*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4526 - -4597. Solve 0 = 2*b - o + 79 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 - -111. Which is greater: k or -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 1638*w**2 + 661773*w + 663408.\nAnswer: -3*(w - 271)*(w + 1)*(w + 816)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z - 22*z + 341*z**3 - 87*z**3 - 6.\nAnswer: 254*z**3 - z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3211388428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.3 + 5.3. Let m be (0 - (2 - 2))\/(-1). Which is the closest to f? (a) 0.3 (b) m (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q - 21 = 0. Let f = q + 14. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (6 + -5 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 173 or 172?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**3*v**4 + 262*u**3*v - 2170*v**4 - 9*v**2 wrt v.\nAnswer: -48*u**3*v - 52080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003696 to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 89 (b) 0.2 (c) 6\/23 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**6\/135 + 13*o**5\/90 + 29*o**4\/27 + 4*o**3 + 8*o**2 - 895*o. Factor f(i).\nAnswer: 2*(i + 2)**2*(i + 3)*(i + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 65596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(110)\/sqrt(176))\/((sqrt(20) - (sqrt(40)\/sqrt(2) - sqrt(20)))\/sqrt(10)) - (sqrt(80) + -1*sqrt(80)*-2 + sqrt(80) + 3)))**2.\nAnswer: 4725*sqrt(5)\/2 + 499725\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**3\/7 + 94428*s**2\/7 + 188868*s\/7 = 0?\nAnswer: -2, 0, 31478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -198?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/3 + h. Let r = 105 + -111. Let y(s) = 12*s**2. Let c(l) = 4*l**2. Let w(p) = r*y(p) + 17*c(p). Give z(w(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17219160 divided by 6.\nAnswer: 2869860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2 - 53*t + 31. Let y(j) = j**2 + 13*j - 8. Let b(l) = 2*d(l) + 9*y(l). What is the units digit of b(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 22. Let f(o) = o**2 - 16*o - 14. Let p be f(d). Suppose -146 - 121 = -p*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*s - 11, -5*s = -5*y + y - 19. Calculate the common denominator of -71\/2 and y + -3 + (888\/176 - 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*i**2*o*y + i**2*o + i**2*v*y - 31*i**2*v + i*o*v - 2*i*o*y wrt y?\nAnswer: 6*i**2*o + i**2*v - 2*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from gxxagxgx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let x = -3.017 + w. What is x rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 5. Let c(g) = -4*g**2 + 8. Determine 5*c(h) - 8*q(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.16 - 2.16. Which is the nearest to m? (a) 4\/17 (b) -1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6616 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (2 - (4 - (-6 + -4)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 188612 (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*v**4 - v**2 + 2 + 1 - 14*v**4 - 42*v**4 + 3*v to t*v**2 + w + k*v + s*v**4 + l*v**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212079 is divided by 2618?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 40?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -93, -197, -301, -405, -509?\n\"Answer: -104*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5c260d (base 14) to base 8\nAnswer: 14025465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444188?\nAnswer: 2, 3, 120349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*u + 0*u - 9 = 0, 1 = u. Let o be (1 + (-3)\/j)\/(3\/24). Solve 2*y = -h - 7, -o*h - y + 3*y = 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 2. Let f(i) = -3*i**2 + 5. Let n(g) = -2*f(g) + 5*o(g). Let m(s) be the second derivative of 5*s**3\/2 - 4*s. What is n(m(j))?\nAnswer: 225*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81*g**3 - 46*g**3 - 38*g**3)*(2 - 4 + 5) + (2 - 1 + 0)*(2*g**3 + g**2 - g**2) to h*g**3 + r*g**2 + p + k*g and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 304 = -12*i. What are the prime factors of i\/3*(27\/2)\/1?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**3\/3 + 9*x**2\/2 - 528*x. Let f be 4 - 3 - (18 + 1). Let a = -12 - f. Calculate y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8985613?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**2 - 464*d**4 + 924*d**3 - 1 - 926*d**3 + 465*d**4 in the form c*d**3 + k*d**4 + w*d**2 + u*d + n and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24610786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17128*g**5 + 5*g**4 - 22*g**3 + 22991314*g**2 wrt g?\nAnswer: 1027680*g**2 + 120*g - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {z: 12, d: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**3\/3 + y**2\/2 + 20. Let w(a) be the first derivative of -11 + 5\/2*a**2 - 2*a**3 + 0*a. Give 15*s(d) - 3*w(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 43*o**9\/168 - o**6\/10 + 37*o**5\/30 + 13*o**4\/8 - o**2 + 1593. Find the third derivative of n(t) wrt t.\nAnswer: 15480*t**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69359*i**2*v**2*y - 21*i**2*y - 2*i*v**2*y + 34176*v**2 - 3*v*y wrt i.\nAnswer: 138718*v**2*y - 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 3:49 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -741 divided by 131?\nAnswer: -741\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + y + 8*y**2 + 2*y + 26 + 8*y**2 - 7*y**2 + y**3. Let h be c(-8). Sort h, -5, -8, 4 in descending order.\nAnswer: 4, h, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*i = -110*i + 809108. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17366*r - 1187 wrt r.\nAnswer: 17366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-2)))\/(c**(2\/23)\/c))\/((c*c\/(c\/(c**(-2\/29)*c))*c*c)\/(c**12\/c)) assuming c is positive.\nAnswer: c**(3990\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-216)\/(-40) - 7)\/((-2)\/5). Which is the nearest to k? (a) -4 (b) 1\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 629236 and 22.\nAnswer: 6921596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-nine fifths of a microgram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 76836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g**2 + 136*g - 334. Calculate y(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -55 * -291\nAnswer: 16005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 2*b**2 + 2*b + 2. Suppose 12 = -2*a - 2*a. Let q be w(a). Suppose q*c - c = 80. Calculate the highest common divisor of c and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 1250, -1, -2, 0, 7 in descending order.\nAnswer: 1250, 7, 5, 0, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from cyycycyycyyc?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.01\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859150 a multiple of 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129476916 divided by 1097262.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6180786*x**2 + x + 15369673 wrt x?\nAnswer: -12361572*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3118 is divided by 3113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/42 and 7\/223332?\nAnswer: 1563324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 9. Let s be l(-9). Suppose -2*g - 4*u + 60 = g, s = 4*u. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 827003 (base 10) in base 5?\nAnswer: 202431003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75816*s + 427 = 75755*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -53*l**4\/24 - 24*l**3 + 98*l**2. Is 6 a factor of q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 0.4 (c) 0.5 (d) 0.3 (e) -0.044\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2 and 97\/4173075?\nAnswer: 8346150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19300)\/135*6\/(-4). Let j = 209 - x. Find the common denominator of j and 1\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 15 - -4 - -7 - 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*v - 7 - 8 = 0, -8 = -4*v. Is 0 + 0 + 29*a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j - 3469 - 1532 + 1531 - 7372*j**3 + j wrt j?\nAnswer: -44232*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1664 + 1639. What is the closest to 1 in i, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 2*d**2 + d + 2. Let t be b(2). Let y = -75575 + 75947. Calculate the highest common factor of y and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/360 - y**5\/12 - 2*y**4\/3 + 32*y**3\/9 - 10*y**2 - 2*y. Solve f(z) = 0 for z.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 4*p**2 - 4*p + 5. Let j be h(-5). Let z be (17\/51)\/((-2)\/(-24)). Suppose w - z*w + 15 = 0. Solve n - u - 4 = 0, -w*n - u + 3 + 11 = j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44400a (base 14) in base 12?\nAnswer: -9382b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4522 (base 6) to base 5\nAnswer: -13213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 13 + 33)*(0 + 2*b + 0).\nAnswer: 94*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 158813 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1780 and -99\/5840?\nAnswer: 519760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/((-3060)\/16))\/(99\/13860*-8)?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -40*b - 792. Let a be h(-20). Solve 4*r = 3*r - 4*n - 4, 4*n + a = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + o + 9 - 16 = 0, 0 = -3*j + 4*o + 18. Which is the closest to 0? (a) j (b) 14\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2486 + 3100. Which is smaller: v or 619?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108? (a) 3\/7 (b) -1\/5 (c) -7 (d) 0.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*j + 0 = -21, -2*i - j + 11 = 0. Let v(y) = -4*y + 17*y**2 + 6 + 19*y**2 - 35*y**2. What is v(i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 4. Let h be ((-7)\/3)\/((-14)\/(-42)) + 1. Let l(s) = -78*s + 133. Let v(t) = h*u(t) - l(t). Find the first derivative of v(b) wrt b.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985200232.\nAnswer: 2, 123150029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 2*f - 92*f**3 + 93*f**3 + 6*f - f**2 + 2*f**4 to the form v*f**2 + g + k*f**4 + h*f + o*f**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from grrpcog?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11070404 is divided by 1212.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4.3. Let j = v + 0.4. Let h = 0.67 - 3.67. Which is the nearest to j? (a) h (b) 3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(2*sqrt(4)) + (2*sqrt(68))\/sqrt(4).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*l**3 + 20*d**3*l**2 - 2*d**3 + d*l + 8*l**4 - 662*l**3 - 7*l wrt l.\nAnswer: 6*d**3 + 192*l - 3972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3072104 (base 9) in base 8?\nAnswer: 6206501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/7)\/(z\/z**(4\/3))*z**(-1\/5)*z**16\/z)**(-26))**(-48) assuming z is positive.\nAnswer: z**(692224\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068.5571262 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 5*s - 2. Suppose -8 - 8 = -4*a. Let j be q(a). Let 5*v**5 + 5*v**5 + 5*v**j + v - 5*v**4 - 5*v**3 - 2*v - 4*v**5 = 0. Calculate v.\nAnswer: -1, 0, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9)\/(j**(2\/7)*j)*(j\/((j\/(j*j**(2\/23))*j)\/j*j))\/(j*j**(-5\/3)) assuming j is positive.\nAnswer: j**(-4604\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n**2 - 574*n**2 - 319*n**2.\nAnswer: -914*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -884, -885, -886, -887?\n\"Answer: -s - 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3 + 5170*c**2 - 20575*c - 25750 = 0.\nAnswer: -1, 5, 1030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16288577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = -27*u + 12. Suppose 4 = -3*s - u*d + 55, 5*d - 28 = -s. Put 4, 2, s in decreasing order.\nAnswer: s, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25674189 and 4107?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by 5.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/7 - 514*o**4\/7 - 1608*o**3\/7 + 12424*o**2\/7 + 14656*o\/7 - 24960\/7 = 0.\nAnswer: -6, -2, 1, 4, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 3*y**5\/2 - 38*y**3\/3 + 114*y. What is the second derivative of x(v) wrt v?\nAnswer: 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-30) + 899\/3255\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 16. Let l be m(20). Solve 0 = 12*u - 8*u + 5*b + 3, l*b = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 3924 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -148, -332, -598, -952, -1400, -1948?\nAnswer: -2602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 262*g**2 - 33*g - 8671. Determine j(-262).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 0, -0.01, 188, -0.109?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssscsccccscccc. Give prob of picking 1 c and 1 s.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 5*c**2 + 11. Calculate the least common multiple of 5 and u(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -32.5. Let u = -4.5000009 + s. What is u rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4201055.\nAnswer: 5, 149, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 809240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -23817\nAnswer: 22\/7939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*i - 6*i**2 + 2 - 11*i + 5*i**2)*(0*i**2 - 3*i**2 + 5*i**2)*(2 - 2 + 2) to w*i + p*i**3 + c + v*i**4 + j*i**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8593 in -29, 0.4, -0.08, -2\/5?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o = -3*b + 5277, 0 = -b + o + 1773. Calculate the highest common divisor of b and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y + 3*y**3 + 407 - 442 + 8*y**3 - 12*y**3 - 62*y**2 wrt y.\nAnswer: -6*y - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327\/4 - ((-63)\/12)\/(-7) is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13556 is divided by 2711.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -29*l. Let d(f) be the second derivative of -1\/6*f**4 + 0*f**2 + 0*f**3 - 2*f - 32. Give k(d(w)).\nAnswer: 58*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.5029 + 1.5971. Which is bigger: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -0.2, 0.3, 0.048, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 at most as big as -588447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10822540991 rounded to 5 decimal places?\nAnswer: 0.10823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92586 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/5, 71, -2\/17, -1.1, 31?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 8:24 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/228)\/(29\/(-87)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nynnnnnynnn. What is prob of sequence yyn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 2*l**2. Let h(y) = -19*y**3 - 4*y**2 - y - 3. What is h(t) - 3*j(t)?\nAnswer: -13*t**3 + 2*t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12560137615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2 + (11 + -6 - 1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358664220 + 358664220 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3106166.\nAnswer: 2, 7, 127, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -295\/6 - -49. Let v be (-4)\/6 + (-2)\/(-21). Let l = 0.06 + 0.94. Sort k, l, v in decreasing order.\nAnswer: l, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104299402.\nAnswer: 2, 4159, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/5 + 1322*d**3\/5 - 7878*d**2\/5 + 2358*d.\nAnswer: -2*d*(d - 655)*(d - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146 + -142. Let d(t) = 2*t - 8. Let y be d(k). Is 5\/68 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 1066*z - 6360.\nAnswer: -(z + 6)*(z + 1060)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -15. Suppose -18 = n*i - 9. Which is the smallest value? (a) 5 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.972208153 - -3.938.\nAnswer: -16.034208153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -4\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + 0*y**2 + y**2 + (0*y**2 - 5*y**2 + 3*y**2)*(2 + 0 + 5) - 2*y**2 + 0*y**2 + 3*y**2 to j*y**2 + p*y + l and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 437, 886, 1335, 1784?\n\"Answer: 449*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:27 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k + 16. Suppose 4959 = x + k*z, 2*z - 15 = -z. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u. Let y(v) = v + 1. Let p(w) = -2*w**2 + 12*w + 12. Let d(h) = p(h) - 12*y(h). Calculate d(t(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25209761327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 5*d + 2. Let h be x(-6). Suppose -23 = 5*i - h. Let m = -0.2 + 0.3. What is the nearest to m in i, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2766769189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - 200363?\nAnswer: -200379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyi when three letters picked without replacement from yiyhiyhihyyyh?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-62 - (6 - 50))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.28 + 47.28. Let h = -0.99 - -1. Let w = h + -0.31. Which is the nearest to 0? (a) f (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2139, -2133, -2135, -2145, -2163?\nAnswer: -2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*l**6 + 6*l**2 - 7*l**6 - 9*l**2 wrt l.\nAnswer: 840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*q + 158 = -2*q, 4*k + 5*q = 271. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4\/(h*h*h\/(h*h**(-24)\/h))*(h**(2\/13)*h)\/h*h*h*h*h*(h*h*h**(-9\/4)*h)\/h assuming h is positive.\nAnswer: h**(-993\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-109)\/12426*19*-2*111?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 18*s - 80. Let y be (442\/s)\/(7*12\/210). Suppose -y = -17*a + 4*a. Solve 5*v + 3 + a = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 152 = 10*n. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*p + 34 = 9, -4*p + 44 = 4*d. Solve -y - 5 = -d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from ooxjzxoojxxgxjxzqzoz.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r**(1\/5)\/r))\/r))\/(r*r**3))**(1\/26) assuming r is positive.\nAnswer: r**(-19\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, b: 1, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -2\/19, 1\/4, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o - 3*o + o)*(1 - 2*o**2 - 1) + 4*o**3 + o**3 - 3*o**3 + o**3 + 0*o + 0*o - 3*o**2 + 3*o**2 + 3*o**3 - 9 - 116*o**2 + 116*o**2 + o**3)*(4 - 4 + 2*o).\nAnswer: 18*o**4 - 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84) + -3*sqrt(84))*-1 + sqrt(84) + sqrt(84))\/(sqrt(72)\/sqrt(24))*-1)**2 + -4.\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/8))**28 assuming u is positive.\nAnswer: u**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 575262, 575261, 575260, 575259, 575258?\nAnswer: 575257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91643 divided by -1463.\nAnswer: 91643\/1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 4*v**2 + v - 1. Let i(y) = -1 + 2 - 3*y**3 - y**2 - y - 4*y**2 + 0. Let a(u) = -4*d(u) - 3*i(u). What is w in a(w) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01704073 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -16. Let q(v) = -12 + 15 + 4 - v**2 + 2*v - v - 3*v. Calculate the common denominator of q(x) and -97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 14*p + 23 = -5*s - 18*p, 0 = s - 3*p + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167299*j**3 + 79804*j**2 - 2.\nAnswer: 1003794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -292197, -5 in ascending order.\nAnswer: -292197, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -6, -4, 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17550 and 2475.\nAnswer: 193050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3984 - 2665. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 + 0 = 0. Let f(x) = -x**3 - 12*x**2 - 12*x - 3. Let q be f(-11). Solve -10 = 3*a - q*a - 3*k, a = m*k + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-83)\/498)\/(((-1300)\/510 + (-2)\/17)\/6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7328?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 1\/59 (c) 0 (d) 3\/80 (e) 3\/5 (f) -0.4 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101308.1 centuries to years.\nAnswer: 10130810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -75, -135, -217, -327?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1695655666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2. Let l(b) = -12 + b + 12. Give l(z(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 10*s - 6. Let c(l) = 2*l**3 - l**2 + 5*l - 2. Let h be c(s). Solve -h*n - 20 = -16*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -15) + -47 + 17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c**2 - c**3 + 4*c**2)*(-10 - 11 + 7) in the form i*c**3 + a*c**2 + b + r*c and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*k**3 + 95*k**2 - 27*k**3 - 93*k**2 + 3 + k**4 + (1 + 0 + 0)*(2*k**4 + 0*k**4 - 4*k**4) - 7*k**4 + 3*k**4 + 2*k**4 - 3*k**3 + 3*k**3 - 3*k**4.\nAnswer: -6*k**4 + 4*k**3 + 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 + 285. Which is smaller: 162 or s?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (212\/(-742))\/((-8)\/(-7))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2456*j = 2448*j + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 23, -57, -4 in descending order.\nAnswer: 56, 23, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 118995 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -94, -207, -320, -433?\n\"Answer: -113*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + u - 1. Let i(f) = -5*f**2 + 2. Let s(h) = -6*h**2 - h + 3. Let r(n) = 3*i(n) - 2*s(n). Calculate -r(k) - w(k).\nAnswer: 2*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (3 + sqrt(5)*2) - sqrt(720)*3 - (-2 + -1 + sqrt(500))*-2)**2.\nAnswer: 306*sqrt(5) + 1526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2084)\/(-1))\/((-82)\/(-41)). Let r = x - 988. What is the remainder when 168 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-4))\/((3*(-4)\/102)\/(12\/(-34)))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.04 + 0.04. Let w = -219 - -249. What is the third biggest value in w, i, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11112011021 - 11?\nAnswer: -11112011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4305 minus 1472?\nAnswer: -5777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 22. Let n be (-13 + (-250)\/(-20))*(0 + -2). What is the closest to n in 2\/5, f, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 442 and 1012894?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -340331124?\nAnswer: -340331131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g - 33*g + 21*g + 15*g + 9*g - 35*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-1625)\/475)\/(-13))\/(5\/1)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r + 322. Does 7 divide s(54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfamymvvvtmmtmamymya. What is prob of sequence aftm?\nAnswer: 7\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1921, 2455, 3903, 6721, 11365, 18291?\nAnswer: 27955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w + 7. Let i be k(5). Let l be -2*2*(-2)\/i. Which is the third biggest value? (a) l (b) -4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:49 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3060\/1700)\/((-270)\/1500)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31 (b) -1\/6 (c) 4.6366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:39 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 927162 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, x: 4, p: 2, f: 8}. What is prob of picking 2 x and 1 p?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, m: 6, l: 2, n: 2, t: 4}. Give prob of sequence nnmm.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l**3 + 5*l**3 + 10*l**3 + 13*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1935, 1937, 1941, 1947, 1955, 1965?\nAnswer: 1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425570.\nAnswer: 2, 3, 5, 19, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35\/2 - -18. Let c be 1 - (-1 - (-96)\/37). Let r = -65\/296 - c. What is the closest to 4 in 0, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5586194?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -103*q - 925. Determine a(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 - 303*v - 145. Let w be x(-60). Calculate the greatest common divisor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:24 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4 = 14, 0 = -5*j + 5*n - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5))\/(-4)*(-1)\/45*(-7227)\/1606.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -233\/2, -5, -1.5558?\nAnswer: -233\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 1. Let h(j) = 3*j + 6*j + 28*j**2 - 8*j**2 - 22*j**2 + 6*j - 1. What is -h(r) + 2*o(r)?\nAnswer: 2*r**2 - 13*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 8 = -4*o, 4*g - 2734 = 4*o - 2718 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -101, -415, -941, -1679, -2629, -3791, -5165?\n\"Answer: -106*x**2 + 4*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22039 is divided by 3671.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 595, 2519, 5769, 10345, 16247, 23475, 32029?\nAnswer: 41909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/6480 and -119\/7200.\nAnswer: 64800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367 - 750. Let f = 323 + -317. What is the hundreds digit of f\/(-9) - j\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:04 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -3 (c) 33 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 2*a + 4)*(-3 - 4 + 5) - 18 - 6*a + 18)*(4*a**3 - 5*a**3 - a**3) to c + k*a + i*a**4 + w*a**2 + t*a**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -28, -4, 0.12.\nAnswer: -28, -4, -2\/9, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 + 0.35. Suppose -3*a - 6 = -18. Let x be -1*((-10)\/a - -2). What is the closest to x in w, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668200 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*g + 20 + 37 + 21 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1296*-2.4\nAnswer: 3110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783288 is divided by 71184?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 5*p**2 + 6*p + 10. Give l(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/80 + 3\/(-4). Let w = -930 + 50237\/54. Let b = w + 1\/54. Sort -3, i, b.\nAnswer: -3, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*j = 4*u - 135, -135 = -u - 3*j. Calculate the lowest common multiple of u and 4.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14473 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25079, -25284, -25839, -26918, -28695?\n\"Answer: -29*n**3 - n**2 + n - 25050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 38?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 10*p**2 + 6*p + 53. What is d(-5)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1)\/(7 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -4735176.\nAnswer: -1\/4735176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 7*b**2 - 3*b - 9. Let x be d(-5). Suppose -o + 10 = 8. Suppose o*z - x - 70 = 0. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(81) + sqrt(20) - (sqrt(60)*-1)\/sqrt(3))\/(sqrt(196)*4*4).\nAnswer: sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvdq when four letters picked without replacement from qsgvvvwqqgqdvqsvv?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 14*i**2 - 12*i + 17. Let v be j(-13). Let d be -2*1\/(-2)*1\/v. What is the second smallest value in -0.08, -5, d?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552724966.\nAnswer: 2, 173, 1249, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 3:26 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93659 and 2566?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 772700182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 plus 19.7831?\nAnswer: -28.2169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*4*sqrt(630)*2)\/(((sqrt(100)*-4)\/sqrt(2))\/sqrt(5)))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15591610 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 5, -3, -73, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 divided by -42?\nAnswer: -289\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*g + 3*g - 48713262, 0 = -2*f + 4*g + 24356618. Suppose -f = -q - 378313. What is q rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 97*d. Let v(x) be the second derivative of x**3\/6 + 1768*x. Calculate p(v(n)).\nAnswer: n**2 + 97*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 6*l - 10*l + 2*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13184 - 5475. What are the prime factors of n?\nAnswer: 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6)*9\/(-6). Let k be (2 + -3 - i)\/11. Which is the second smallest value? (a) k (b) -3\/5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*i = 41670014, 198*i = 195*i - 21. What is x rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 5, e: 1, p: 5}. What is prob of picking 1 b and 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-33))\/(o*o**(-5\/13)))\/(o**18)**(-47))**(-7) assuming o is positive.\nAnswer: o**(-80024\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-381)\/(-4) - (-5)\/(-20). Let r be (-1 - 1) + -3 + w. What is the highest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 9*j + 4*j - 18*j - 4. Suppose 2*q = 6*q - 20. Let u(w) = 3*w - q*w - w + 2*w. Calculate u(v(x)).\nAnswer: 4*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033017338764 rounded to six decimal places?\nAnswer: 0.003302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 180 = -3*x, -2*b + 9*x + 300 = 5*x. What is the greatest common divisor of 8478 and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 28428*y**3 - 15*y**2 + 7*y + 9. What is the tens digit of u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 1:55 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11018*l - 969604. Determine m(88).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**6 - 7*i**2 + 5*i**6 - 10*i**5 - 18*i + 19*i wrt i.\nAnswer: 240*i**3 - 600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2960835g to micrograms.\nAnswer: 296083.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -116. Let p(h) = -3*h**2. Let k(v) = -6*v**2. Calculate s*p(w) + 2*k(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - r = 1103, -5*n + 0*r - 4*r = -1384. Suppose l = -5*f + n, 40 = f - 0*l + 4*l. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97304243.\nAnswer: 17, 5723779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 234, -5, 1\/5 in ascending order.\nAnswer: -5, 1\/5, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 792 - 403. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1012 = 6*d. Let c be (-33)\/(-11)*d\/(-6)*-1. Let g = c + 48. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 2*y**2 + y**5 + 6*y**5 - 2*y**5 - 3*y**5 + 0*y**5 - y**5 + 2*y**5 + (-y**3 - 2*y**3 + y**3)*(4 - y**2 - 4) - 37*y**5 - 551*y**5 - 555*y**5.\nAnswer: -1138*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1482181 (base 9) to base 7\nAnswer: 6661510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 4*s**2 + 8*s - 1. Let i(u) = -4*u + 32. Let l be i(7). Calculate the remainder when r(l) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + d - 2. Suppose 97 = -4*v - 5*u, 10 + 77 = -4*v - 3*u. Let n = v - -20. Calculate i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -11\/3. Let l(u) be the second derivative of 0 + 4*u - q*u**3 - u**2. What is the derivative of l(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) 0 (c) 115.42 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42381?\nAnswer: 3, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*p**3\/9 + 32818*p**2\/9 + 24620*p\/9 - 8206\/9 = 0. What is p?\nAnswer: -1, 1\/4, 4103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 585202806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 119807952 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, k: 6}. What is prob of picking 2 x and 1 k?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11136071 and 2?\nAnswer: 22272142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/38, 1.26, -2\/13, 23?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474476904.\nAnswer: 2, 184309613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-1 + 5))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from gknfnfkiifknkyn.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116210992 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5340471168062 and 13?\nAnswer: 5340471168049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.931 rounded to 1 dp?\nAnswer: 137.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -646*j - 120*j - 114*j + 7040 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 8118.\nAnswer: 81180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s + 66. Let a be q(-11). Suppose -2 = -3*t + 7. Solve 3*w + t*i = a, -w + 16 = -2*i + 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 12*q + 6. Let v(a) = a**2 + 13*a - 5. Let z(r) = -3*g(r) - 2*v(r). Let d be z(-11). Let k be (1\/(-1))\/(d\/63). Which is smaller: k or -20?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/3107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96.3 + 97. What is the second smallest value in f, 1, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + r - 6*r**2 + 62 + 2*r**2 + r**2 - 68. Let c(w) = 3*w**3 - 5*w**2 - 11. Let s(t) = 6*c(t) - 11*x(t). Find the third derivative of s(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/21 + -4 + 6. Let o(j) be the first derivative of 1 - 2\/7*j - z*j**2 - 2\/7*j**4 - 2\/35*j**5 - 4\/7*j**3. Factor o(w).\nAnswer: -2*(w + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1414\/404)\/(21\/36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 2. Let m be u(-2). Suppose m = 5*w - w - 20. Let f(s) = s**3 - 4*s**2 - 3*s. What is the remainder when f(w) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5708 = -2*f, 7*q = 2*q - 4*f + 7122. What is the highest common factor of q and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 7:01 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342 (base 5) to base 2.\nAnswer: 1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -64501\/4 > -16125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -198393399 divided by 1448127?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11831\/319 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0 + -3)\/((-4)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**3 + 775635*a**2 + 30087849840*a + 571389177020 = 0.\nAnswer: -77554, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 277776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 + (-57)\/(-19). Solve -46 = -z*l - 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -392.07119 rounded to the nearest integer?\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.062 in 1\/5, -1.86, 2\/5, 13, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -223*m - 3. Let n(c) = -13*c. What is 12*n(f) - 3*w(f)?\nAnswer: 513*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + (sqrt(126) - (sqrt(126) + (sqrt(126) + (sqrt(126) + 3*sqrt(126) - sqrt(126)) - sqrt(126)))))\/sqrt(9))\/(4*-1*sqrt(2) - sqrt(2)).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6605?\nAnswer: 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 - 7 - -13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - 124?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkm when three letters picked without replacement from dkigddmzzmz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-7)\/2*-2. Let r = 5 + b. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20772\/5 (b) -2 (c) 5 (d) 1\/4 (e) 5\/4 (f) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1988.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4436 (b) 2\/7 (c) 2.75 (d) 4 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - a + 1. Let k be i(2). Suppose k*d + 8 = d. What is the nearest to 2 in 3, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(sqrt(847) + (sqrt(847)*-2 - sqrt(847)))*-6*-4.\nAnswer: -13200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 754916610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 484540235 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (3 - -24)) + 1. Let j = l + 64. What is the tens digit of (j\/(-8))\/(((-15)\/56)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/356554 and -13\/16?\nAnswer: 2852432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.167? (a) 5 (b) 2 (c) -256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 25*o - 6. Let f(w) = 9*w - 2. Let m(j) = -17*f(j) + 6*x(j). Let q(n) = -9*n - 7. What is -7*m(p) + 2*q(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50, -87, -124, -161?\n\"Answer: -37*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6325 - -0.4\nAnswer: -6324.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4 = 7*l. Let u(i) be the third derivative of 1\/30*i**5 + 0*i**4 + 0 - 1\/3*i**3 - 2*i**l + 0*i. What is the first derivative of u(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59*m**3 - 3512*m**2 + 2*m - 1345007 wrt m?\nAnswer: -177*m**2 - 7024*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 16*u**2 + 177*u + 2526. What is k(-11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -83074 * -3496\nAnswer: 290426704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.9 - 16. Which is the closest to 4? (a) v (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220032112322 (base 4) to base 14.\nAnswer: 1586ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let v be (-5)\/(-2)*2*1. Let j(o) = o**2 + 5*o - 4. Let h be j(-6). Let y(d) = -v*d**h + 2*d**2 + 0*d**2 + d**2. Determine a(y(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4807*u**2. Let n(x) = 13*x. Calculate l(n(t)).\nAnswer: -812383*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/4 - 37*k**2\/4 + 45*k\/4 - 11\/4.\nAnswer: (k - 11)*(k - 1)*(3*k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -g + 2*g - 44, 5*g + r - 187 = 0. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*f - 70 - 4, 0 = -2*t + 3*f + 31. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 1315*y - 17 + 8 - 15.\nAnswer: 1315*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 31*q - 46. Determine f(4).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292 - 291. What is the smallest value in 5, -0.05, r?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19446 is divided by 1288.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(390\/(-100))*(-3)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 10, 24 in descending order.\nAnswer: 29, 24, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 272 = 5*o. Let b be (2\/2 + ((-786182)\/(-1463))\/(-34))\/((-22)\/77). Which is greater: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*o**2 + 139*o - 1113.\nAnswer: -8*o + 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(459\/(-270)*-5).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(0*w**3 - w**3 + 2*w**3) + 312*w - 26 - 136*w - 186*w + w**3 in the form z*w**2 + k*w**3 + p*w + c and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 621458820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 5. Let m be 1 + 0 + 1 + c. Let f(a) = a**2 + 30*a + 219. Let j be f(-18). Calculate the greatest common factor of j and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, i: 3}. What is prob of picking 1 z and 1 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6409100.79747 + -6409062. Let n = z - 38.8. What is n rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1\/3, 0.4, 32.2, 57, 1\/5?\nAnswer: 32.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*o**3 + 45*o**3 + 10*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (92 + 173 + 138 + 947)*(-1 - 2*j + 1) to the form m*j + c and give m.\nAnswer: -2700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let p = r + 1. Sort p, 1, -0.3 in descending order.\nAnswer: p, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51128 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415900.\nAnswer: 2, 5, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -12. Let p(f) = 13*f**2 - f. Let y be p(h). Solve y = 3*g + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - u + 4*u)*(2 - 4*u**2 - 2).\nAnswer: -12*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*n + 17 = -61*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192.4 - 195.4. Suppose 2*t = -2*t + 2*r - 6, 5*t = 2*r - 8. Let l be (t\/8)\/((-8)\/(-12)). Put d, -0.5, l in decreasing order.\nAnswer: l, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p - 7. Let m be z(1). Suppose 7*b = 3*w + 5*b - 52, m*w - 5*b - 40 = 0. Suppose y - 8 - 2 = 0. What is the greatest common divisor of y and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + (-1 + 0 - 0) - (-13675 + 13676)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/245, -0.5, -1?\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/715)\/2*5.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47 - 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(228) - sqrt(228)*2*6) + sqrt(228))*-2)\/(sqrt(108)*-4 - 6*sqrt(60)\/sqrt(5)).\nAnswer: -10*sqrt(19)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*y**3 + y**4 - 7812*y**2 - 7*y + 3906*y**2 + 3912*y**2 - 2*y to the form x + k*y + p*y**4 + l*y**2 + c*y**3 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 5*q - 3*q)*(-22*q**2 + 3*q**3 + 4*q**3 + 23*q**2).\nAnswer: 7*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 1, u: 1, l: 1, c: 1, r: 2}. What is prob of picking 1 y and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -77*s**4\/6 - s**3\/6 - 6*s**2. Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine quarters of a millennium?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*r**4\/9 - 92*r**3\/9 + 104*r**2\/9 + 32*r\/9 = 0. What is r?\nAnswer: -1\/4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 75\/(-12)*(-26 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(3 - 2)\/2. Let j(x) = 2*x - 4. What is j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4 + 68*a**3 - 757*a**2 - 4242*a + 17784 = 0. What is a?\nAnswer: -6, 3, 19, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9271057 or -1\/7?\nAnswer: -9271057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6950769, -6950778, -6950789, -6950802, -6950817, -6950834, -6950853?\nAnswer: -6950874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3411964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64470, 64443, 64392, 64317, 64218?\nAnswer: 64095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030805 to the power of 1\/2, to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**2 + 12662*f**5 - 21*f**4 - 8*f**2 + 29*f + 55*f**4 + 2 - 34*f**4 wrt f?\nAnswer: 759720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -36 + -3 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4175258 is divided by 2087584?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 168131 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/7*1308\/327?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*j = 91*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 10*a = 7*a + 42 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.4 or -2344?\nAnswer: -2344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*(sqrt(110) - (sqrt(110) + sqrt(110) + sqrt(110)*-5)))\/(sqrt(70)\/((sqrt(49) - -1*sqrt(49))\/sqrt(7))).\nAnswer: 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 - 1 + 141*f - 2*f**2 + 69*f - 2*f**3 + (1 - 1 + f**2)*(4*f + 0*f - 6*f) to the form v*f**3 + d + a*f**2 + y*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 558504?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 + 26\/3*l - 2\/3*l**3 + 28 = 0. Calculate l.\nAnswer: -7, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -4\/3, -0.1, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-61 + 26) - -8) + 8 + -28\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 0.32, -82?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59680 is divided by 14915?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161438359?\nAnswer: 31, 229, 22741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = o - 5*q, -5*o - 17 + 1 = q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 + 9*k + 266. Let t be x(-6). Solve -t = -14*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -12. What is the second derivative of 7*q - 13*q + 9*q**5 - 38*q**5 - f*q**5 wrt q?\nAnswer: -720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/5 + 10*a**4\/3 - 50*a**3\/3 + 93*a. Find f such that o(f) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*(-4 + (-3*sqrt(13))**2) - (-4 + (3*sqrt(52))**2)).\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 4:20 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*d - 22 + 556 = 0. Solve -5*q - 7 = -d*q + 2*z, -4*z - 18 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.2 + 4. Is -4\/13 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 527 and 10270331.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 670419313 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2251 - 2246. Let h = 11 - 11.8. Which is the closest to 1? (a) v (b) -1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30364 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(39))\/sqrt(3) + sqrt(65)\/sqrt(125))*3*-4.\nAnswer: -192*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60079647.\nAnswer: 3, 421, 47569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69618184.82 - -6.\nAnswer: -69618178.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14490 is divided by 676?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 15*h + 8 = 0. Suppose h*z - 19 = 25. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 6 = 6*f - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2217, 2593, 3247, 4185, 5413, 6937, 8763, 10897?\n\"Answer: z**3 + 133*z**2 - 30*z + 2113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -25. Is 17 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 960 - 963. Let v = 3.5 - 3. Which is the closest to -3\/2? (a) 2\/3 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173094509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-7))\/((142\/71)\/(7\/34)).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**3 + f**2 - f - 42. Find the first derivative of d(g) wrt g.\nAnswer: -6*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-12)*-4 - (135 + -139)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-7))\/((-1)\/(-8)). Let d(w) be the third derivative of w**6\/120 + 7*w**5\/60 - w**4\/3 + 2*w**3\/3 + 2179*w**2 - 2*w. Determine d(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:10 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-95)\/15 - 1\/(-3). Let s be 1*(0 - (-4)\/q). Let p(n) = n**2 + 13*n - 10. Let b be p(-14). What is the closest to s in b, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/36 and -23\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 3*y**2 + y - 1. Let k be d(3). Let f(h) = -3*h - 2 + k - h. Let r(v) = 2*v**2. Determine f(r(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9871*x**2 + 17858*x**2 - 10233*x**2.\nAnswer: -2246*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 - 254.7598223.\nAnswer: -254.9498223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/8313129 and 76\/1078803?\nAnswer: 141323193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 18*p + 11. Let f = 63 - 55. Let n be s(f). Let y = -77 - n. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47096 take away -1?\nAnswer: 47097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 221201022011001?\nAnswer: -221201022010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -28. Suppose 3*b = -r + 5, r - 3*b - 2*b = -v. Calculate the common denominator of (-104)\/30 - r\/(-6) and -14\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107387.6 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19021 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*z**2 - 26*z**2 - 21*z**2 + 74*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 times 151179?\nAnswer: 40667151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 16 = 2*f, 0 = -2*x + 4. Let h = -5 + f. Suppose h*u = 3*u - 12. Solve 5*g - 3*s - 11 = s, 3*g - u = 5*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -82.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*p + 5 = 0, -f + 2 = -3*p + 1. Suppose -5*u + 106 = -4*l, -4*l + 10 = u - 2*l. Calculate the remainder when u is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11389 + 11383. Which is smaller: t or 9.6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4666 and 169383.\nAnswer: -790341078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 1\/24*s**4 + 1\/2*s**2 + 1\/4*s**3 + 0 + s. Factor i(l).\nAnswer: (l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5599, 4950, 3883, 2410, 543, -1706?\nAnswer: -4325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 - 13298840*y - 53195424 = 0.\nAnswer: -4, 3324714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 186*b**4 + 21429*b**2 - 21429*b**2 + 310 with respect to b.\nAnswer: 744*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - b - 2. Let u be a(-1). Suppose -5*h - 1 = -16. Solve 0*d**h + d**2 + 3*d**4 - d**u + d - 4*d**4 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/27 and 40\/597189?\nAnswer: 5374701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 12*p + 8*p - 263 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306127?\nAnswer: 107, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - j - 444 - 128252 = 0, -5*f + 128692 = 3*j. List the prime factors of f.\nAnswer: 7, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/65457 and -37\/11429.\nAnswer: 720027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 24)*(45\/3)\/((-6)\/30*5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + (sqrt(1188)*-2 - sqrt(1188) - sqrt(33) - sqrt(33)))\/sqrt(3)*-1)**2 - (1*sqrt(396) - (2*sqrt(891))**2).\nAnswer: -6*sqrt(11) + 7535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 15\/12824?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*i + 227*i - 114*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481198.\nAnswer: 2, 240599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/24 + 5*k**3\/3 + 9*k**2. Let x be h(-14). What is the highest common divisor of x and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 354235.\nAnswer: -1\/354235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 3)*(1 + 2 - 4) + 5 - 4 + 1)*(2*w**2 - w**2 + w**2)*(9 + 3*w - 9).\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2491233561.\nAnswer: 3, 3511, 78839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044918 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7512 and 15238092.\nAnswer: 3756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-1)*d*d**(-36)*d*d**(-1\/18)\/(d*((d**11\/d*d)\/d)\/d) assuming d is positive.\nAnswer: d**(-757\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 19 = -87*a + 90*a, -2*s + 13 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 307327818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = k - 3*z, k - 180 = -4*k + 3*z. Suppose 5*i - k = 7. What is the highest common divisor of 72 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 12*s - 2897. Let m(q) = 36*q - 8689. Let x(d) = -6*m(d) + 17*z(d). Is x(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12 = -f + 6, -v = -2*f. Is (-178)\/(-2) + (v - 5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 268*j - 262*j + 3*i, 0 = -2*j - 2*i + 40. Let g(m) = -19*m - 1. Calculate the smallest common multiple of j and g(-1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c3b9 (base 15) to base 10.\nAnswer: -345099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 6 - 10. Let p(a) = 2*a + 11. Let v(x) = 5*x. Let q be v(1). Let j be p(q). Solve -2*r - 4*n = -22, 0*n + 5*n = g*r + j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96534 and 447724?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 18.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 c, 1 j, and 1 m when four letters picked without replacement from yjkcmtmcj?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + d?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -103\/9 or 3660?\nAnswer: 3660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 966.2764 micrometers?\nAnswer: 0.9662764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121961073457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6393762 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 11 + 31. What is the remainder when 26 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.97629 decades in months?\nAnswer: 4677.1548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 10 - 2692*y + 8 + 27 + 5 to the form v + p*y and give p.\nAnswer: -2692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26986*o**3 - 8*o**2 - 16*o - 9 wrt o.\nAnswer: -161916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.3003 - 0.0003. What is s rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 33. Suppose 5 + 13 = 3*v. Let j = v + r. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 32 = -4*z. Let p(r) = -r**3 + 8*r**2 - 5*r. What are the prime factors of p(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + l = -21, -2*v + 7*l + 41 = 4*l. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-27))\/((-4)\/30))\/(1186\/(-3558))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 8*z - 5. Give n(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, u: 10, g: 3, c: 1}. What is prob of picking 2 g?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.5 + -3.2. Let h = 9.4 + -1.6. Let n = -11.8 + h. Which is the smallest value? (a) -1\/2 (b) g (c) 0.2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76323.24 centuries in millennia?\nAnswer: 7632.324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummnwmmnp. What is prob of sequence nmm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiio when four letters picked without replacement from {i: 4, d: 8, o: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 2*a = -6*s - 45, -4*a - 29 = -s. Solve l = 3*k + s, 2*l - 4*k - 26 = -0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47842 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 6) in base 11?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1954 - 1954. Let i = -0.9 - 6.1. What is the nearest to 0 in m, -0.1, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10417.\nAnswer: 11, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 223 (b) 0.09 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -153, 6\/11, -24, -1\/6, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450665 is divided by 150187.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 5*u - 0*u. Let p(m) = -m - 7. Let l be p(-7). Suppose 0*w + w - 16 = l. Calculate the remainder when u is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-3)*-2*3. Let i = w + 9. Suppose 3*q + b - 60 = 0, 6*q - 72 = i*q - 5*b. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - 6*sqrt(38)*-1)\/((sqrt(2) + sqrt(2)*-1 - sqrt(2) - sqrt(2))*-5).\nAnswer: 7*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + t**2 + 6*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*u*x**4 - 2*u*x**2 + 2*u*x + 307*x**4 - x**3 - 4*x**2 - 645 wrt x?\nAnswer: -384*u*x + 7368*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2. Let p(n) = 7*n + 1. Let y be p(2). Let t(c) = -17*c**2 + y*c**2 + 12*c**2 + 6*c. Give i(t(k)).\nAnswer: 200*k**4 + 240*k**3 + 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -7. Let u = o - -7. Calculate the remainder when 18 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (3 - (2 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267*q**2*t**2 - 168*q**2*t - 10*q**2 + 200*q*t**2 + 2*q*t + 15*t wrt t?\nAnswer: -534*q**2 + 400*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -105*n + 19. Let g be o(3). What are the prime factors of (g\/6 + -5)*(-3 - 0)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 134*u**4 + 60*u**4)*((-4 + 0 + 3)*(2 - 2 + 2*u) + 2*u - u + 3*u + 4*u - 5*u + 5*u).\nAnswer: 1152*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*b**2 + 21*b**2 + 20*b**2 + (-3 + 5 - 4)*(b**2 + 2 + 148*b - 148*b) to the form h*b + a*b**2 + f and give a.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4632 divided by -8?\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*c + 3 - 289*c - 5.\nAnswer: 238*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1736 and 99\/56.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419028854 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4*k + 2*k)*(4 - 3 + 0)*(-12362 + 2170*k + 12362).\nAnswer: 4340*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15134b + 5?\nAnswer: 151354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1058 + 2063. What are the prime factors of h?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219129289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 66*l**3 + l**2 + l - 1. What is the remainder when (((-129)\/(-15))\/(32\/120))\/((-2)\/(-8)) is divided by v(1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 358*t**2 + 2464*t - 2132. What is s(351)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 6, -407, 2, -2 in ascending order.\nAnswer: -407, -2, 2, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1989 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/10*(-40)\/6. Let q = i - 8. Suppose -3*l + 6999996 = -8*l - q*j, 3*l - 5*j + 4200010 = 0. Round l to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -2*g**3\/51 + 946*g**2\/17 - 447458*g\/17 - 292. Let c(h) = 0. What is h?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4666 - -588.7334. What is a rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 15*l - 2*l**2 - 1 - 18*l - 20*l in the form b + i*l**2 + f*l and give f.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 0*k**2 + 1\/2*k**4 + 0*k + 0*k**3 + 7 - 2\/5*k**5. Find d such that z(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000343084 rounded to 6 decimal places?\nAnswer: -0.000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111872 and 7114360.\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4776883113*w + 3*w**3 - 4776883113*w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 10:11 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54133442 + 54141422 = 76*r for r.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*v + 40 = -200*v, -5*t + 2*v + 141669984 = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: 28300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -29\nAnswer: -75\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4561*s**2 + 497*s**3 + 4561*s**2.\nAnswer: 497*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*r**3 + 31*r - 31*r.\nAnswer: 656*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10237 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f - 11*f = 4290. What is the highest common factor of f and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3257 by 4.\nAnswer: 3257\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 4*h = -4*h. Let f(o) = o**3 + o**2 - o + 4. What is f(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -1 - -4) + (-4 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 5. Let n be -2*(-1)\/(-3)*z. Suppose 0*o - 4 = -n*o. Solve -5*f + f = -8, o*f = -y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (920 + -917)\/(-56 - 1).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 278, -14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-805*n**4 - 563*n**4 - 152*n**4)*(-1 + 0 + 0).\nAnswer: 1520*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000024618 to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/416 and 83\/98488.\nAnswer: 393952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17285, 17275, 17249, 17201, 17125?\nAnswer: 17015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + a - 145 = -0*a, 52 = y - 5*a. Let t = 70 - y. Is t a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -642a (base 12) to base 7.\nAnswer: -44002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*t = -2104, -t = 3*n + t + 1272. Is n at most -422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:58 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5786 = -7*x + 3*x, 17378 = 3*h - 2*x. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.007 in 2\/15, 4\/9, 3, -13?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - 1. Is 12 a factor of -12*(1 - t\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 4)*(0 - 2 + 0)*(-5*q**3 + 2*q**3 + q**3) to t + o*q**3 + p*q + g*q**2 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.518424 millilitres in litres?\nAnswer: 0.005518424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -5*u**3\/3 - 175*u**2\/2 - 480*u - 383. Suppose v(p) = 0. What is p?\nAnswer: -32, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 4:46 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*c = -38, -3*l + 162 = -3*c + 30. Let n = 237 + -113. What is the remainder when n is divided by l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/3 + 225395*c\/3 + 225380.\nAnswer: 5*(c + 3)*(c + 45076)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-10)\/((-910)\/533))\/((-1196)\/(-182))?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102420 and 1440.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 1 (b) 2\/21 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x - 14. Let u(z) = z**3 - 8*z**2 + 8*z - 6. Let y be u(x). Let k = y + 0. Solve 2*g + 3 = -k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -269\/693 + -4\/99. Let f be 26\/12 - (-2)\/(-12). Is k > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*f - 7*o + 45, 4*o = 2*f - 72. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydav when four letters picked without replacement from {v: 1, d: 8, y: 1, e: 1, a: 1}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 + 80\/3*l + 226\/3*l**2 - 152\/3 = 0 for l.\nAnswer: -1, 2\/3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 19*o**4\/24 - 2*o**2. Let q(z) = 311*z. Let b(p) = 1010*p. Let d(f) = -4*b(f) + 13*q(f). What is j(d(g))?\nAnswer: 57*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u**3 + 29*u**3 - 68*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-2) + (-2)\/2. Let f = 2 - 0. What is the units digit of (f + l)\/3*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 0 + sqrt(19) - (-3*sqrt(57)\/sqrt(3))**2) + 3.\nAnswer: -168 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (20 - 11) - ((43 - (11 + 0)) + -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 divided by 2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a - 36*a - 19*a = -720 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j + 7 - 55. Put -0.2, 0.1, j in descending order.\nAnswer: 0.1, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 8*x**2 - 5*x - 23. Let s(k) = -k**3 - 9*k**2 + 10*k + 10. Let i be s(-10). What is the hundreds digit of n(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5778290*a. Let q(b) = -4*b. Calculate x(q(z)).\nAnswer: 23113160*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 smaller than -0.0381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 2*z + 2*z)*(1232 - 258*z - 1232) to c*z + x + h*z**2 and give h.\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/9, 3\/5, -5\/2, 0.4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1985 (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/12)\/(51\/(-102)). Sort -1, 1\/3, s, -2\/17, -3 in increasing order.\nAnswer: -3, -1, s, -2\/17, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 21*t = x - 1800, 5*t - 25 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)\/sqrt(108) - (sqrt(540)*-2)\/sqrt(9))\/(sqrt(1200)*-1*-4).\nAnswer: 7*sqrt(5)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1413)\/9420*8\/(-39)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (524736\/(-123896))\/(-24*1).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -13 + 5. Let f(g) = g**2. Let y be f(z). Solve m + 0*l + 3 = 2*l, -y*m = -l + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 663*u + 38665. What is w(-57)?\nAnswer: 874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3))**(14\/5)*o**(-2)*o**(2\/3))**(11\/2) assuming o is positive.\nAnswer: o**(-187\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28621 + -28621.0048155. What is l rounded to 5 decimal places?\nAnswer: -0.00482","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/9 and 131\/8010?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23346 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**6\/15 - 4*a**5\/15 - 2*a**4\/3 + 515*a**2. Let j(g) be the first derivative of -g**3\/3 - g**2\/2 + 24. Give -16*j(z) + r(z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**8\/672 - 307*d**7\/420 - 103*d**6\/40 - d**5\/60 + 617*d**4\/48 + 103*d**3\/4 + 2619*d**2 + d. Factor s(v).\nAnswer: (v - 309)*(v - 1)*(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7790 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/((-4484)\/(-420)) + -1 + -1. Is d > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -1.39 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201022 - 0?\nAnswer: -201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31225000 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 140760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*j + 456, 0 = -4*j + j + 2*i + 456. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12, 17 in increasing order.\nAnswer: 1, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11*f + 9. Let k be s(3). Let q = -21 - k. Solve q*d + 2 - 1 = 5*i, 5*i + d + 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329582423 to the power of 1\/2, to the nearest integer?\nAnswer: 18154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0 - 4*c - 3*c.\nAnswer: -7*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2252\/362363 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n = -7*n - 180 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40, 93, 190, 337, 540, 805, 1138?\n\"Answer: d**3 + 16*d**2 - 2*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -1 - 56. Let a = f - -101. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/14 - 2\/(-4). Which is the smallest value? (a) 4.2 (b) i (c) 5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/27)*(g**(1\/3)\/g)\/g*(g\/(g**1*g))**(-2\/9) assuming g is positive.\nAnswer: g**(-37\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777425*r**3 + 193*r**2 - 193*r**2.\nAnswer: 777425*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 = s - 1, -x - 3 = -3*s. What is the remainder when s\/(14\/1544) - (-22)\/(-77) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0*b\/((b\/b**4)\/b)*(((b*b\/(b\/(b*b*b**(2\/11))))\/b)\/b)\/b**(-1\/6)*(b**1)**(15\/2)*(b**(-1\/2)*b)**(-2\/31) assuming b is positive.\nAnswer: b**(14134\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = -3*u - 2*i, -4*i - i = -u - 4*i + 52 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d + 55. Let n be j(17). Let a be (-2 + n)*2 - -3. What is the tens digit of a + -5 + 3 - -36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100100011111 + -1010111?\nAnswer: 111100011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (-2 - -31) + 15 + 24.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j. Suppose o - 15 = -6. What is the remainder when z(2) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -127\/9. Let m = 25.043 - 0.043. Let a = -21 + m. Sort x, 2, a in increasing order.\nAnswer: x, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90*6\/(-420)*245\/30?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 1\/3 (b) -0.4 (c) -0.05 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 2*g - 3. Let l(s) = -s**3 - 5*s**2 - 4*s + 6. What is 2*l(n) + 5*u(n)?\nAnswer: -2*n**3 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5022024 (base 8) in base 3?\nAnswer: -2111001122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 5*o**3 + o**3 + (-3*o + o + 4*o)*(0*o**2 + 2*o**2 - o**2) + 2*o**3 + 3*o**2 - 3*o**2 + 3*o**3 + 7*o**3 + 3*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 480.9 + -481. What is the nearest to a in 3\/7, 31, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -34*u + 37*u + 0 + 0. Let c(r) = 13*r**2. Let o(w) be the first derivative of 35*w**3 - 19. Let h(m) = 33*c(m) - 4*o(m). Calculate h(y(s)).\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -145. Let x = a - 43. Find the second derivative of 7 + 12*u - 23*u - 7 + x*u**3 wrt u.\nAnswer: 132*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*-2 - (-126)\/(-36)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 25655 - 11744 - 11590.\nAnswer: v**2 + 2321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuo when three letters picked without replacement from ownxnnnopnnwwouoown.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9764 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 273 - 1914\/7. Let f = 7 + -3. Suppose 4*k - j - 1 = 0, 8*k - f*k = 5*j + 21. Is k less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -577045?\nAnswer: -288522.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 21*a. Let m(p) = 12*p**2 - 24*p. Let f(o) = 8*o**2 - 15*o. Let s(u) = 8*f(u) - 5*m(u). Calculate t(s(x)).\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k + 4*q - 27, 40 = 5*k + q. Let j(v) = v**3 + 10*v**2 + 10*v + 12. Let m be j(-9). Solve -m*s = 5 + k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000494 to seven decimal places.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 12 - 32. Let g(j) be the first derivative of j**3\/3 - j**2 + j - 4. Calculate g(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -326 + 118. Let l = -207.99999883 - s. Round l to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 615, 1036, 1531, 2094?\nAnswer: 2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -4*h - 3*t, 5*h - t - 206 + 82 = 0. Suppose -5 = -5*c, 4*c + h + 1 = -k. Let r be k\/9 + (-2)\/(-3). Which is smaller: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25961 at least as big as -415359\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 5*t + 32, 0 = 51*z - 46*z + 3*t + 45 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/((-1880)\/(-352))*(-4)\/((-24)\/(-15))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(2 - 1) + 4. Suppose -2*u - 4 = -14. Suppose 2*g - u = -k. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 30 = -7*q + 5*g, -2*g + 4 = 0. Let y be ((-3)\/(-315))\/((-1)\/67). Let p = y + -1\/35. Which is the biggest value? (a) 1\/6 (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477, -925, -1315, -1617, -1801, -1837, -1695?\nAnswer: -1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -16*t - 187. Let a be x(-12). Suppose 27 = 4*r + 5*h, 1 = 4*r - 3*h - 2. Solve 0 = 2*m - 4*m - a*k + 13, 4*k = -r*m + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/28)\/(w*w*w**32)*(w**31\/w)\/w**17 assuming w is positive.\nAnswer: w**(-585\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2123 + -2068. Which is the biggest value? (a) -6 (b) p (c) 0.05 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -45. What is the nearest to -1 in z, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 325872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2 + 6*x - 5. Determine p(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + 2 + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -41a56?\nAnswer: -41a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**4\/12 - 17*t**3\/6 + 11*t**2\/2 + 18*t - 13. What is b(16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 + -1.645. Let u = -5.045 - j. Which is the third biggest value? (a) 1\/7 (b) -2 (c) -0.6 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**3\/3 - t + 16. Let o(v) be the first derivative of b(v). Let p(k) = -28*k**2. Determine o(p(i)).\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(9 + (-952)\/105). Let h(i) = -4*i**3 - 4*i**2 + 6*i + 2. Let o be h(-4). Let x = 1188\/7 - o. What is the nearest to x in -3\/5, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 + 116*k + 203. What is the units digit of m(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.46 - -0.44. Let j = -0.019 + h. Let v = j - 0. What is v rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14559 - 9163 = -284*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73.5717917617 + 2.\nAnswer: 75.5717917617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - 4. Suppose -13*x = 12*x - 100. Is (a\/x)\/(2\/(-8)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 9:42 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 + 7*u + 22. Let k be s(7). Let y be 1 + (-1)\/(3\/150). Let p = y - k. Calculate the highest common factor of p and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llggtlltlelljllllllk. Give prob of sequence kjg.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22469456267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1360*g + 36736. What is b(27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149435 to the power of 1\/2, to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/((-9)\/(-3)) + 59. Calculate the highest common factor of r and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 20780?\nAnswer: 1\/5195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10056 - -10125. Calculate the highest common factor of r and 3427.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -102600730.\nAnswer: -102600729.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let v = -260 + 264. Suppose g*b = -2*b + v. Solve 3*m + 5*n - 2 = b, -2 = -2*m + 5*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2, -420, -2, -0.62, 0.3?\nAnswer: -420","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 23. Let l(c) = 4*c - i*c**2 - 29*c**2 + 10*c + 50*c**2 + 8. Give l(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17626 is divided by 620.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1222 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**3\/6 - s**2 + 2*s + 11. Calculate o(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 + 162*n - 312 = 0. What is n?\nAnswer: 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/24 and -67\/651.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (1 + sqrt(605))**2.\nAnswer: 22*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 36 = 3*m - 2*i, 5903*m - 4*i = 5898*m + 51 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8565.68 from 75.\nAnswer: 8640.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 7*1\/2. Let s = 0.06 - 2.06. Let k be ((-27)\/10)\/9*-2. Which is the smallest value? (a) k (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m. Let o(l) be the third derivative of -l**5\/60 + l**3\/6 + 2*l**2. Let b(q) be the first derivative of o(q). Determine b(j(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = 5*h + k, k + 12 = 4*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 1011*j - 95 + 31 + 34.\nAnswer: 1011*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxdojxoonoo. What is prob of sequence xn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -543 - -2912. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 9*u + 8. Let z be f(8). Suppose -3*l + 4*l = z. Suppose -3*r = -l*r + 6. What is the nearest to 1\/2 in -0.3, -1, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1170612*w**3 - 2425*w**2 + 240*w - 5?\nAnswer: -7023672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2 + 2 + 10*g**3 - 4*g + 1 - 11*g**3. Let p be m(-4). Suppose -3*t - 2*d + 25 = -2*t, 0 = p*t - 5*d - 53. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10041 (base 6) to base 7\nAnswer: 3565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 967521530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:06 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -861007 take away 175.6?\nAnswer: -861182.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v + 36. Let j = 32 + v. Solve -4*o - j = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0581766889 rounded to 6 dps?\nAnswer: 0.058177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 460577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -701, -2310, -5433, -10574, -18237?\nAnswer: -28926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 23*b - 6. Suppose -25*v = -30*v + 110. What is the least common multiple of o(v) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = 4. Suppose -9 = 9*q - a*q. Which is smaller: 2\/9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1470 is divided by 78.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -22*k + 109. Let w be b(5). Let o = -40\/21 - -18\/7. What is the nearest to w in 0, o, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340287017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -1\/5309 (b) 6\/13 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 19*a + 12. Let d be k(-10). Suppose -2*i - r = d, 5*i - 3*r + 4*r = -8. Let g = 0.26 + 0.04. What is the smallest value in g, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*h**2 - 40 - 6*h - 239*h**2 - 57 - 3*h - 5 to v + m*h + j*h**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -74886 smaller than -224657\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 12103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1565 and 110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12920 or -12574?\nAnswer: -12920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 1582 = -0*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -2*t**5\/15 - 8*t**2. Let w(l) = -2*l**2. Calculate w(x(b)).\nAnswer: -128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 2\/55, 411, 4?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545175.\nAnswer: 3, 5, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**2 + 40*v - 48. What is i(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from ubbubuauuokufuouko.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54190 rounded to the nearest one thousand?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -806, -1619, -2432, -3245, -4058?\nAnswer: -4871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 0.1. Let z = -0.3 + w. Let m = 0.9 + z. Which is the nearest to -2\/3? (a) 2\/13 (b) m (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = -2569 + 391. Do -99 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1919*n**5 - 6*n**3 + 3*n**4 - 1914*n**5 - 3*n**3 - 2*n**4 + 634*n - 2 - n**3 + 2*n**2 wrt n?\nAnswer: 300*n**2 + 24*n - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 35 = -5*j. Let l = j + 10. Solve -u + 2 = 0, 0 = -s - 3*u - l + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60 and 14.4639?\nAnswer: -867.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*h, -2*h - 2*h = -3*q. Suppose q = -3*o - t - 9, 5*o - 4*t + 2*t + 26 = 0. What is the tens digit of (11\/o)\/((-4)\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - -19) - -3 - -4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*n + 38*n - n to y + x*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17\/17)\/(-2*(-1)\/78). What is the highest common divisor of 52 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 95*q**3 + 3*q + 97*q**3 + q**2 to r*q + g*q**3 + c*q**2 + x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36*(-39)\/(-4914)*4*6\/(168\/(-35))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b + 84 = -41*b. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -1 - 1) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**0*h)\/h))**(-14\/5)\/(h*h**7*h**(-1\/2)) assuming h is positive.\nAnswer: h**(-103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2030 and 323785.\nAnswer: 647570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 613 + -289. Let q = o - 324. Which is the second smallest value? (a) 1 (b) 0.6 (c) -10 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248.0054 - -218.\nAnswer: -30.0054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 135 and -57852211.\nAnswer: -57852076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-2)\/((-8)\/(-34)). Suppose 388*u - 390*u - 3*i = -92, -3*i + 239 = 5*u. Suppose r = -x + u. What is the remainder when 86 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:12 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = -5. Suppose 10*q - 120 = r*q. Let d = 1 + q. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 308437, 617587, 926737, 1235887, 1545037?\n\"Answer: 309150*t - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2089 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 1948b902?\nAnswer: 1948b905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 105?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/5 + 28*j**3\/5 + 8*j**2 - 156*j\/5 + 18 = 0. What is j?\nAnswer: -3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/((-14)\/(-546)). Which is the second smallest value? (a) -0.3 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -38324*i**2 - 77388*i - 1480 = 0?\nAnswer: -2, -185\/9581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1.2, 6.4, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 2\/49, 527\/5, -3\/7 in descending order.\nAnswer: 527\/5, 2\/49, -3\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2780045 is divided by 695008.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.008*0.4\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) 2 (c) 3 (d) 0.111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 4*j**2 + 34*j - 3. What is f(-9)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8796539*i*m**2 + 2301*i*m + 16*i - 2*m**2 + 37*m - 2 wrt m.\nAnswer: 17593078*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, 1, -6, -372 in descending order.\nAnswer: 1, -4, -6, -10, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2723)\/(-14))\/(4\/(-32)). Let q = 3513 + b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/8 and -29\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39842, 79329, 118816, 158303, 197790, 237277?\n\"Answer: 39487*a + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z + 117 + 468 = 0. Let t(b) = -93*b + 147. Let s be t(z). What is s rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -642a5 + -1a8?\nAnswer: -64491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 2 - 2 + 19*k**2 - 177*k + 177*k + (-5*k + 4*k + 3*k)*(-2*k + 3*k + 0*k) to the form h + w*k**2 + y*k and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119051824 is divided by 263973.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5838 is divided by 237.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -14 + 2. Let z(j) = 3 + 5*j**2 + d*j - j - 2. What are the prime factors of z(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -80431?\nAnswer: -80431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 79*h**2 + 73*h - 12. List the prime factors of j(8).\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26301170?\nAnswer: 2, 5, 7, 73, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.095 * 0.24\nAnswer: 0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 932.7 plus -0.0358?\nAnswer: 932.6642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 906864 and 448?\nAnswer: 3627456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -23. Let k = 20 + f. Let x = 125\/174 - 3\/58. Sort k, x, -5.\nAnswer: -5, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = -12. Let y be v + -5 + 3 + 0. Suppose 0 = 3*s - q - 0*q + 3, -2*s - y*q = -12. Solve -20 = 5*n + 5, s = 4*b - 4*n - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:25 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/30 + 51*b**3\/2 - 115*b. Let w(j) be the second derivative of i(j). Determine w(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (408\/(-21))\/(41520\/(-217980)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2376*a = 2373*a - 21468. Round a to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37699240.\nAnswer: 2, 5, 547, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236929238 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (sqrt(5) + 0)**2)*-2 + ((4*((sqrt(5) - sqrt(25)\/sqrt(5)) + sqrt(5)))**2 - (sqrt(320) + 4)).\nAnswer: -8*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 87112*c**3\/9 + 316158484*c**2\/3 - 1897212248*c\/9 + 948649682\/9.\nAnswer: 2*(c - 1)**2*(c + 21779)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 - 552*u + 17024 = 0. What is u?\nAnswer: -304, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**3 + 35 - 62 - 4*c**2 + 29)*(0 + 1 + 4) as s*c**2 + a + o*c + u*c**3 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -317\/50 - -1169\/225. Calculate the common denominator of c and -68\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y + 144. Let i be y*(8\/40)\/(2\/5). Let a = -27 + i. Let h(n) = n - 3. Give h(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 41*s**3 - 94*s**3 + 6 + 51*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -4100?\nAnswer: 4076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**3\/2 + x**2 - x. Let y be b(2). Let t(l) = l**3 + 4*l**2 - l + 1. What is t(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 576 = -25*v. Suppose 0 = 11*a - 69 + v. Let s(z) = -9*z + 1. Give s(a).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 708*h**3\/5 - 549*h**2\/5 - 708*h\/5 + 549\/5 = 0.\nAnswer: -1, 183\/236, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 7:10 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 123, 172, 245, 348, 487, 668, 897?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118297350 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001328283342 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/9520 and 151\/6?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 43 + 143 - 11 + 179 + 43.\nAnswer: d + 397","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 8*x**2 - 1. Let g be u(-8). Let z be 0 + 622 + -1 + g. Round z to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, 4, 3, 8338 in increasing order.\nAnswer: 3, 4, 85, 8338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14201 and 1639?\nAnswer: 2115949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -7.7, 3\/2, -0.3 in ascending order.\nAnswer: -7.7, -2, -0.3, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/247411357 and -9\/71.\nAnswer: 247411357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 4:16 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/13, 21122, -0.43?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11391651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*d + 1116, -1477 = -2*d - 1489. Is h smaller than 288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1625 in -0.3, -2, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -142634249.54 to the nearest 1000.\nAnswer: -142634000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157279 is divided by 2418.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {c: 3, k: 4, a: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1236 and 1245 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/8 - (400\/500 + 64131\/(-20)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + (4 - 9))*(-940)\/(-6). Let m be ((-1)\/2)\/((-4)\/8). Does 10 divide m\/(-6) + q\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/7))**(-10\/7)*(u*u**(-6\/7)*u)**30 assuming u is positive.\nAnswer: u**(1720\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76483537 divided by -1523?\nAnswer: -50219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2991*b = 4371*b - 441720 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6038.496l?\nAnswer: 6038496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5079771342.\nAnswer: 2, 3, 41, 6883159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20437\/8550 - 2\/1425. Find the common denominator of p and (-1 - 2)*26*(-2)\/24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 75. Let r = 20.5 - g. Let v = 33 - 28. Which is the second smallest value? (a) 4 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*h - 18 = 0, 0 = 4*d + 3*h - 6*h - 24. Let m(g) = -3 - 4 + 11 - 6*g - 15. Let p(u) = 5*u + 9. Let s(c) = -4*m(c) - 5*p(c). Give s(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 35. Solve -t*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 57*a - 76. Calculate the remainder when z(55) is divided by (-3)\/9 + 13\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54557609.\nAnswer: 54557609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8168929.\nAnswer: 47, 173807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 1 + 1)*(-v + 2 - 2) - 3*v**2 + 2*v**2 - v**2 + v**2 + 0*v**2 - 3*v**2 + 2*v**2 - 2 + 2 + 48*v + 3*v**2 - 48*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -260 + 254. Which is the biggest value? (a) 2\/11 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u - 7*u - u**2)*(-1 - 1 + 1)*(-156 - 197 + 6 - 67).\nAnswer: -414*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1 = -2*h. Let k(p) = p. Let g(b) be the second derivative of -b**4\/12 + b**3 - 85*b + 2. Determine h*g(w) - 4*k(w).\nAnswer: -w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 17, 2375, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 957*f**2 - 319*f**2 + 337*f**2 + 180*f**2 + 246*f**2.\nAnswer: 1401*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, i: 1}. Give prob of picking 1 i and 1 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.7 * 45.1.\nAnswer: -708.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 10*n**2 - 11*n + 9. Let t be 2\/(10\/(-12)*(-9)\/(-45)). Let y be p(t). Let h be 35\/(-10)*180\/y. Is h != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 41. Give y(-25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)**44)**1\/(((h\/(((h*h\/h**5*h)\/h*h)\/h))\/(h*h*h**9))\/(h**(-2\/21)\/h**(-6))) assuming h is positive.\nAnswer: h**(-653\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11376?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**5\/60 - 44*u**3\/3 + 163*u**2\/2 + 37. Let o(w) be the second derivative of z(w). Let s(y) = y**2. Determine o(s(d)).\nAnswer: d**4 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*i - 109*i - 152*i + 2260 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f + 7 + 10 + f**2 - 2. Let w be n(6). Let m be 2\/((6\/3)\/6). Solve -z = 0, w*k - 3*z + 0 + m = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r**5 - 299*r**4 + 276*r**3 + 1264*r**2 - 960*r - 272 = 0 for r.\nAnswer: -34, -2, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -e30 (base 16) in base 11?\nAnswer: -2802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.178 (c) -3 (d) 2\/15 (e) -20.71 (f) -0.1 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -264, -72, 132, 354, 600, 876, 1188, 1542?\n\"Answer: y**3 + 185*y - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 21*w + 39*w to a*w + z and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6624 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-3)*(-33)\/22. Let o(a) = -8*a + 2*a + 5*a + k + 2*a. Suppose -v - 2*d - 6 = -3*v, 3*d = 5*v - 13. Determine o(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(2\/5))*f)\/f*f*f*f**(-3\/2)\/f)\/(f**(-2\/5))**(1\/2)*(f**8\/f*f\/(f*(f**(-3\/7)*f)\/f))**(-1\/2) assuming f is positive.\nAnswer: f**(-253\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 26. Let s = 111 - 117. Let y be f(s). Solve -3 = -0*b - y*b - 3*m, -5*m = 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.11 and 33598630621?\nAnswer: 33598630620.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -x - 71 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-30))\/(2\/3). Suppose 2*o = 6*o - 120. Let b be 62\/o + 12\/(-18). Is b greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 + 4*p**3\/3 + 6*p**2 + 20*p\/3 + 7\/3.\nAnswer: -(p - 7)*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2*(-2 - -2). Let i = h + 2. Find the second derivative of j + 1 + i*j**2 - 1 wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 175 + -40592.\nAnswer: -40417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1\/2)*(-10)\/5. Let f(b) be the third derivative of 0 + 5\/24*b**4 + 0*b - b**t - 1\/60*b**5 - 2*b**2. Calculate f(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 411?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4940474.926471 + -4940478. Let s = 15.926443 - j. Let f = 19 - s. What is f rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*c + 415 - 30*c - 21*c - 4*c to t + i*c and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-5\/3)*h**7)\/(h\/(h**(-3\/13)*h)*h*h*h**8) assuming h is positive.\nAnswer: h**(-22\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l - 8 = 0. Let d(t) = -t**2 - 7*t - 5. Suppose -24 = -v + 5*v. Let w be d(v). Sort w, -2, l.\nAnswer: -2, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (8 - -3 - (170 + -140))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 193992*d - 4. Let f be k(-8). Let w = -4103085 - -1551145. Let b = f - w. What is b rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*q - 109 = -94, -5*u = 5*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = -25. Let a = 4 + -1. Let d be 2 - (-2 + -7 - a). Solve 5 + 4 = 4*g + 3*v, -v = n*g - d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1440 + 22572*y**3 + 22509*y**3 + 1800*y - 44971*y**3 - 740*y**2 - 5*y**4 = 0. What is y?\nAnswer: 2, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 9*o**2 - o + 11. Let t be n(9). Suppose 0 = -t*k - 2*h - 0*h + 2952, 0 = 5*k - 4*h - 7389. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from wjhjhhwjhshwwhhww.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21707630 divided by -3395?\nAnswer: 6394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 14*f + 1. Let n(j) = 1. Let v(m) = l(m) + n(m). Does 15 divide v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 2*m - 2. Let d(o) = -9 + 79*o**2 - 43*o**2 + 9*o - 44*o**2. Determine -9*b(q) + 2*d(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 15. Let l be s(0). Suppose m = 6*m - l. Which is the third biggest value? (a) -5 (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 6*r + 32, -o + 17 = 4*r + 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 5*g**2 - 9*g**2)*(2*g + 2*g**2 - 2*g).\nAnswer: -30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179238, 179237, 179236, 179235, 179234?\nAnswer: 179233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -4*u - 96. Let m = u + 74. Suppose h = 2*h - m. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6185, 12404, 18603, 24770, 30893, 36960, 42959?\nAnswer: 48878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2961\/282)\/(36\/16*(-2)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54447?\nAnswer: 3, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -31221?\nAnswer: 31216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - 6*l + 8. Suppose 98 = 14*k - 16*k. Let w = 45 + k. Let j be r(w). Which is the closest to -1\/4? (a) -3 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((2\/(-824))\/(3\/2)). Let d be (-8*(-4)\/12)\/(8\/c). What is the units digit of (-4)\/(-18) - 3*d\/27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 21 + 19 + 16 + 5*v.\nAnswer: 5*v - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1598 - 989. Let y = -586 + n. Calculate the remainder when 250 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*w - 16, -3*a - 3*w + 26 + 22 = 0. Suppose 0 = -5*f - 1 - 14. Let n = f - -9. What is the least common multiple of n and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169*i**3\/4 - 1085747*i**2\/2 + 501141*i - 115650.\nAnswer: -(i + 12850)*(13*i - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 150820\nAnswer: 15082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:21 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 37, 10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - j**2 + 83. Let o be i(0). Suppose 3*t + 2*t = -3*k + o, -79 = -3*k - t. Suppose -4*p = 3*g - k, p = 3*g - 0*p - 31. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 - 9*p - 8*p**2 + p - 4*p**3 - 3*p**2 = 0. What is p?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95003.39 centimeters in meters?\nAnswer: 950.0339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-27)\/(-6))\/(-1*9\/12). Let d(x) = 22*x**3 + x**2 - x - 7. Suppose 3*s - 6 = -3. Let z(w) = w**3 - 1. Let q(a) = g*z(a) + s*d(a). Give q(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 5. Let z be o(-3). Suppose -15*l = -z*l - 41. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 12. Suppose 52 = y*s - 2*s. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -793087 or -1?\nAnswer: -793087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:29 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + 2 - -4)*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451330, 903100, 1354870, 1806640, 2258410?\nAnswer: 2710180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011101100 - 10010000000?\nAnswer: -10001101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(49)\/((sqrt(7) - -1*sqrt(7))*-6 - sqrt(7)) + 4)**2 + -3).\nAnswer: -24*sqrt(7)\/13 + 6612\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(-60) + 6384\/252. Let p = -7 - -4. Sort p, -2, g.\nAnswer: p, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3 - 58. Let z(j) = -5*j**2. Calculate z(x(u)).\nAnswer: -45*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -101101101101?\nAnswer: -101101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 220747627*c*g*s**2 + 2*c*s + 35465090*s**2 wrt g?\nAnswer: 220747627*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55760543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.715814 centuries to decades.\nAnswer: 67.15814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 18 = -3*k, -3*k + 68 = 4*w + 72 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*17\/(-204)*-794804 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 79\/5*v**5 - 2*v + 11\/4*v**4 + 0*v**3 - 44 - v**2. Find the third derivative of y(n) wrt n.\nAnswer: 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/14870 and -127\/17844?\nAnswer: 89220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -127, -182, -237?\n\"Answer: -55*s - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(10\/(-4)))\/1. Let z be (-126)\/2*(-413 - v). Suppose 4*g + 89893 = z. What is g rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s - 5. Let k(q) = 4 + 7 + 13*q + 2*q. Let w(p) = -3*k(p) - 5*l(p). What is the derivative of w(b) wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/20 + 7*p**4\/12 + 11*p**2\/2 + 3*p. Does 27 divide o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**5\/15 + 17*l**2. Let m(f) = 8*f**2. Determine s(m(v)).\nAnswer: 256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 1, 14, 35 in descending order.\nAnswer: 35, 14, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 243 + 257 - 517. What is s(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -131351 + 5?\nAnswer: -131344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*l + 0*l = -92, 0 = 4*u - 5*l - 60. Calculate the highest common divisor of 180 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:12 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/15 - 22*t**3\/15 - 18*t**2\/5 - 10*t\/3 - 16\/15.\nAnswer: -2*(t + 1)**3*(t + 8)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*a + 18*a + 0*a - 122*a to the form b*a + n and give b.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 5619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 228714 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 less than or equal to -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3431208304 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + 100 + 23 + -66.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*i*q**2 + 4*i*q - 8747*i - 5*q**2 with respect to q.\nAnswer: 26*i*q + 4*i - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28 - -0.18. Suppose 124 = 4*m - 2*n, -4*n + 8 = -8. Let w = m - 29. What is the second biggest value in q, w, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3056, -7267, -11498, -15749?\n\"Answer: -10*y**2 - 4181*y + 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8837, 18142, 27903, 38120, 48793, 59922?\n\"Answer: 228*b**2 + 8621*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 23016\/756 + 8\/(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-8))\/((-268)\/603) and -81\/3422.\nAnswer: 27376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from rhhaahaahhhhaah.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**2 - p - 1. Let q be g(-1). Let b = q - -12. What is the third derivative of 4*c**3 + 2*c**2 - 4*c**3 + 2*c**b wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2231 = 3*o - 3*r + 2249, 5*o + 2*r = -23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 835194.6mg in nanograms?\nAnswer: 835194600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, z: 1, b: 1, n: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1205651 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*n - 4*z - 116, 67*n = -66*n + 129*n + 5*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044810.21385 plus 4?\nAnswer: -1044806.21385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, z: 6, i: 2, b: 5, s: 2, k: 1}. Give prob of picking 2 i.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*u + 31 + 73 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -212978130 + 213013559.9954. Let g = o - 35424. Let q = 6 - g. Round q to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 6*d**2 + 9. Suppose 0 = 6*g - 17 - 19. Let j be h(g). Suppose -11*u + 164 = -j*u. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82606391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of (9\/(-1 + 35\/14) - 2) + 12790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 10*c**2 - 13*c - 182. Let l = -66 + 95. Calculate the remainder when w(-7) is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 5, -7, -1.1 in decreasing order.\nAnswer: 5, 2, -1.1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258 (base 12) to base 11.\nAnswer: 2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 0 (b) 3\/8 (c) 2.8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0\/3)\/(1\/((-2)\/8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -557243686 + 1298377766947\/2330. Let n = f - -23\/233. Find the common denominator of (-4)\/10 + (-219)\/30 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c + 20. Let f(r) = -17*r**2 - 28. Let u(n) = f(n) - 6*h(n). Differentiate u(q) with respect to q.\nAnswer: -34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2, -t - 3*r + 19 - 12 = 0. Which is the nearest to -0.1? (a) 1\/3 (b) t (c) 2\/567\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwiii. Give prob of picking 2 w and 2 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*f - 5, 2*g + 0*f - 5*f + 17 = 0. Let d = 177 - 173. Put -11, d, g, 2 in descending order.\nAnswer: d, 2, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 486 - 484. What is the lowest common multiple of 14 and (2\/h)\/((3\/(-138))\/(-1))?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19640.\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvjjvjjvjj. Give prob of sequence vvjv.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(2\/39)*(v*v**(-4))\/(v*(v**(6\/5)*v*v)\/v*v*v*v)*(((v\/v**(-2\/3))\/v)\/v)**(1\/17)*(v\/((v\/(v*v*v**5))\/v))\/v*(v**(4\/5)*v)\/v assuming v is positive.\nAnswer: v**(-4366\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14996160 divided by -8128\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-23))*y*y*y*y\/((y*y**27)\/y*y)*y*y assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7 + f**2 + 9 + 5*f + 0*f**2. Suppose 0 = 3*b - x + 12, 2*b = -5*x - 3 + 12. Calculate w(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1398 + -578. Suppose 0 = 4*m - v - d, -12 = v + 2*v. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 76, -4, -5, 3066?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10999, 10990, 10981?\nAnswer: 10972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 224848.6 to the nearest one hundred.\nAnswer: 224800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26*-1.3\nAnswer: -33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1104 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + f**2 + 1. Let s(l) = -6*l**3 - 5*l**2 - 5. Let b(u) = 8*u + 8. Let k be b(-10). Let w be 2\/(-16) - 153\/k. Give w*s(h) + 10*q(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 49. Suppose 1 = w, 46 - 214 = -c*h + 3*w. Calculate the highest common factor of h and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/40 + 2*v**5\/15 - 5*v**2. Find the third derivative of p(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -32. Let i be 4\/j + (-64)\/(-40). Suppose -3*o = i*c - 35, 0 = 4*o - 5*o - 2*c + 17. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 9:49 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/4 + 4*n**4 + 55*n**3\/4 = 0.\nAnswer: -11, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -38. Let p be (-5)\/(10\/4) - 14. Let d = x + p. Sort d, 5, 1.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 599, 4098, 10493, 19784, 31971?\nAnswer: 47054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38169013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 11*g - 32 + 322, 3*o - 2*g = 55 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 12:37 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/15 - 853588*v\/15 + 91076559218\/15 = 0?\nAnswer: 213397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 54. Let q = -35 - x. Suppose 0 = -2*d + 16*d - 70. What is the least common multiple of q and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 22*f + 4. Let c be u(8). Suppose 38 = 2*l - c. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111111111 (base 2) to base 6\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-4)\/(-24)*(-3 + 4 - 2). Put n, 2, 0, 0.039 in decreasing order.\nAnswer: 2, 0.039, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90308.82 kilograms to micrograms.\nAnswer: 90308820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -9 + -4 + (3 + -3 - 47).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035135 (base 6) in base 15?\nAnswer: -104a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 22. Suppose 2*q - c*r = -2*q + 46, -3*r = -3*q + 39. Calculate the remainder when q is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, 13\/5, 0.9, -0.4, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 462 = 388038. What is j rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23879?\nAnswer: 23879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16805, 19760, 22715, 25670, 28625, 31580?\nAnswer: 34535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1857872.627 + 1856361. Let z = -1511 - f. What is z rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(2299) + (sqrt(19) - (sqrt(152)\/sqrt(8) + 5))**2*-3.\nAnswer: -77 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 414 + -123. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3738.324 and -150136.\nAnswer: -153874.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13073 + 5.3\nAnswer: 13078.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbbllbbblbbbbbbbb. What is prob of sequence lbl?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -41 + 12*q**2 - 14*q**2 + 11*q + 47. Calculate b(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 3*a**3\/2 + 133*a**2\/2 + 51*a + 2. Is h(-10) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -137 (b) -4\/7 (c) -0.2 (d) 0 (e) -4 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 3:26 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 55 = -5. Suppose -24 = 4*r - v*r. Solve -4*b - 5*a - 3 = 6, -5*b = -r*a - 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 - 1 = 0. Suppose 4*c = -3*v + 23, 4*v = -0*v + x*c + 12. Let d(b) = b**3 - 4*b**2 - 4*b + 7. List the prime factors of d(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 6) to base 7\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) - (-382)\/4. Suppose 0 = 6*b + 2*b - y. Let m = -64 - -112. Calculate the highest common factor of b and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*q - 146*q + 30*q - 854*q**2.\nAnswer: -854*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 538117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 19. Let n(d) = 4*d - 3. Let p(h) = 3*h - 2. Let i(x) = c*n(x) - 3*p(x). Let q(l) = l**2 - 3*l. What is -3*i(z) + q(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 219*o**2 + 239*o - 4221. Calculate f(220).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8235 is divided by 334.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -5*p**6\/6 + 7*p**3\/3 - 17. Find the third derivative of y(g) wrt g.\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22831 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.064 in -16, 23, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 9*b**2 + b + 12. Let j be v(6). Let l = -35 - -19. Let y = 30 + l. Calculate the greatest common divisor of j and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 6*y + 1. Let a(s) = -s**2 - 4*s + 6. Let c be a(-6). Is k(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-297)\/(-30))\/(-11) + 1. Let w = 8 + -7.97. Let t = w - 0.08. Which is the smallest value? (a) t (b) 1\/2 (c) 0.4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = -6. Let a = t - -15. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 7) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.98 and 1.2.\nAnswer: 2.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00061406 rounded to five dps?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 12:03 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 61 + 58 + 31)*(1 - 1 + 3*r**5).\nAnswer: 339*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*3828\/88. What is the closest to 2\/7 in s, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 106*k + 1880. Let i be u(-67). Solve f + 0*f = -3*g + 5, -20 = i*g - 4*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 77.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 - 39*y**2 - 22*y + 6. Calculate the remainder when 1636 is divided by r(-19).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 12) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/770*11*755. Let j(v) = -11*v**2 - v - 4. Let i be j(3). Let b = n + i. Solve 5*r + a + b = -4*a, 4*r + 21 = -a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5312545545.2 minus 7.83?\nAnswer: 5312545537.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2616083.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 36 = -40*d - 48. Which is greater: -133\/44 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + l + 5810 = 0, -4*t = -0*t + 5*l - 4648. Suppose -4*h + 3*s + 1216 = -314, -5*s = 3*h - t. Suppose -5*z = z - h. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.85 - -10. Let y = g + 4.85. Sort y, -2\/17, -0.4 in increasing order.\nAnswer: -0.4, -2\/17, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p*q**2 + 7445943*p*q + 2075455*q**4 wrt q.\nAnswer: -4*p + 24905460*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.04 (b) 4 (c) 0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 995957*s**2 + 995*s**2 + 312483*s**2 - 146251*s**2.\nAnswer: 1163184*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8465941 days in minutes?\nAnswer: 1219.095504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 20*y + 3. Let k(u) = 20*u + 4. Let t = -15458 - -15454. Calculate t*k(q) + 5*z(q).\nAnswer: 20*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 71 = 6*a - 2*a, -4*a = 2*g + 70. Let t(y) = y**2 + 18*y + 1. What is t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Let w = -697 - -698. Let o(f) = -f**2 - 1. Let i(v) = -7*v**2 - 75*v - 5. Let d(h) = w*i(h) - 5*o(h). Give d(l(t)).\nAnswer: -2*t**4 + 75*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6392821621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34362509761 - 34362509761 - 57*x**3.\nAnswer: -57*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*m - 3054 - 816 = 0. Solve 5 = -10*z - m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 2. Let u(r) = -7 - r + 6 + 0*r - r. Determine 2*j(s) - 3*u(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -7 - (-6 + 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -1. Suppose -z - 1 = -2*l. List the prime factors of (-13)\/(l\/(-6)*2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 t when three letters picked without replacement from {t: 1, k: 2, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 4*s - 5*n, 93 = -3*s + 6*s - 4*n. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 154*n - 890. What is r(148)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/3 (b) 1 (c) -88 (d) -42.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 98*d = 102*d, -5*d = -4*o - 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21037.9 + 353503.\nAnswer: 374540.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1708, 45 in descending order.\nAnswer: 45, -6, -1708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 2941?\nAnswer: 293b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2 + 2 + (-46736 - l**2 - 1026*l + 46736)*(4 - 1 - 5).\nAnswer: 4*l**2 + 2052*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*h - 37*h - 2453 = 2*v, 2*v - 31 = -h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (962\/120)\/13. Let z = -2\/15 - s. Let j = 6 - 6. Sort z, j, 3\/7 in descending order.\nAnswer: 3\/7, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 - -0.27. Let k = 0.28 + -0.2. Let p = k - c. Which is smaller: p or 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*m**2 - 24\/7*m + 48\/7.\nAnswer: 3*(m - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 390\/7 - 56. Which is the closest to -0.1? (a) f (b) 1\/9 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 3 + 142*r + 10 - 5.\nAnswer: 142*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5062668746.\nAnswer: 2, 4217, 600269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 88*x + 662. Let y be z(-7). Let u(s) = 4*s**2 + 4*s. Let t(a) = 5*a**2 + 5*a + 1. Give y*u(w) + 2*t(w).\nAnswer: -2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/15*(-10)\/32*(-148)\/(-148)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 = f + 3*d - 376, -5*f = -2*f + 5*d - 103 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 6*q - q + 2*o, q = o. Suppose 5*x + q = 2*x. Let a be x\/(-3) - 16\/24. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9097 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-79828)\/(-16) - 84\/(-48). Suppose a = -151*c + 158*c. Is c a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -2.125.\nAnswer: 4.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -125, -188, -251?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t - 15. Let r(m) = 37*m - 45. Let k(z) = -11*f(z) + 4*r(z). List the prime factors of k(9).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46825509 to the nearest integer?\nAnswer: 6843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2. Let t(d) = -3*d**2 + 2*d**2 - 2*d**2. What is h(t(v))?\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -5 - 793. Is 33 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 681 + 671. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26443 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 268283.683478219 minus 0.4?\nAnswer: 268283.283478219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.7923 times -0.04?\nAnswer: 7.631692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 850851 and 1728?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((51\/(-34))\/((-6)\/10))\/((-2)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 811, 939, 1151, 1447, 1827?\nAnswer: 2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-2*o - o + o) + 7*o + 66 - 66 + (-3 + 4 - 4)*(-23*o + 18 - 18).\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(3*b**4 + 0*b**4 - 4*b**4) + (-2*b + b + 2*b)*(b**3 + 0 + 0)*(-9 + 12 + 18).\nAnswer: 22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 37.0000067. What is s rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 102)*(-8 - (-133)\/28). Let b = -302 - s. What is the remainder when b is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - (114713\/6*-1 - 12\/72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 6627 (c) 0.5 (d) -1.3 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/7)*w)**(-37)*((w**(1\/2)\/w)\/w)\/(w*w**(1\/2)*w) assuming w is positive.\nAnswer: w**(-472\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/10)\/(84\/(-10)))\/(488\/1708)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18182500 and 28053?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let t(h) = 502*h - 2. Give t(s(w)).\nAnswer: 1004*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, 30, 178, 416?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -67*g + 2111. Calculate o(6).\nAnswer: 1709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-36))\/(1\/6). Let t = 5 + f. Solve 0 = -3*j - 0 - t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 + 73*h - 6. Let p be n(0). Let j(s) = -s**3 - s**2 - 2*s + 1. Let z be j(-2). Suppose 3*g - z = -24. Is p smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1158 and 2.\nAnswer: -0.2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*y + 3433, -9*y + 6*y + 2055 = 3*u. Solve u*a + 30 = 680*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -190. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b264 (base 12) to base 6\nAnswer: -1425404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/2, 0.2, 1096, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/109? (a) -3 (b) -93 (c) 4 (d) -5 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06633 minus -1.9?\nAnswer: 1.96633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 1. Let k(g) = 6*g + 5. Let q(y) = k(y) + 5*r(y). Let n(w) = -36*w. Calculate n(q(s)).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + y**2 + 1. Let q be 3\/12 + (-1)\/4. Let o be (-4)\/(2*(q - 1)). Let h be w(o). Which is the second biggest value? (a) 5\/2 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*d + 274 + 1209 = -932 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13745 and 260?\nAnswer: 714740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 517 and 1392563.\nAnswer: 15318193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89479.\nAnswer: 13, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206\/9 + 254\/9. What is the common denominator of (-18)\/(-20) - (-2 - -2) and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249807 is divided by 3569.\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -65, -0.2, 0.4, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehtj when four letters picked without replacement from hjthje?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.95 - -0.05. Let n = -176\/53 - -2500\/689. What is the biggest value in n, 3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72215274 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 353785 - 353784.9. Let v be (-25)\/(-21) - 1\/3. Sort f, v, -9 in ascending order.\nAnswer: -9, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*a - 200*a - 8892 = 13*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 84 + 1\/2*h**2 + 0*h. Let t(w) be the third derivative of w**5\/15 - w**2. Give i(t(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*o**3 - 4220*o + 91*o**3 + 10800 - 32*o**3 + 392*o**2 - 23*o**3.\nAnswer: 4*(o - 5)**2*(o + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 - -6 - (2130 - 2170)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.2. Let z = 1488.9 - 1488.6. What is the nearest to -1 in -0.5, l, z, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + -2. Let k be ((-4)\/6)\/((-10)\/j). Let i be k - 1*(0 - 1). Solve i = -y + 2 - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 5:42 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -122.057. Let k = x - 6.943. Let o = 2 - 2. Is o <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6539442 divided by -8673\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-21))\/(10\/(-28))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 3. Let x be a(-5). Let o be (0 + 1)\/(1\/3). Suppose -o*b = -2*b + 1. Sort b, -0.2, x.\nAnswer: b, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82554414.11 + 82547023.899994. Let o = 7389.61 + h. Let a = 0.6 + o. What is a rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*l + 2*l, 0 = 5*r - 2*l - 3. Suppose 7 = j - 0. What is the remainder when r + 10 + (4 - 2) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:55 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*m + 5*y, -7 = 32*m - 28*m - y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*j**2 - 1543*j - 37*j**2 + 1542*j - 10.\nAnswer: 75*j**2 - j - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y - 6*y + 18*y)*(-54*y**2 - 54*y**2 - 63*y**2) - y + y - 2*y**3.\nAnswer: -4448*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.5 + 32. Let m = -6.6 - -0.6. Let u = m - x. Put -4, u, -2 in increasing order.\nAnswer: -4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from fffmqlfl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 3*n - 2*n)*(7*n + 57*n + 9*n) + 3*n**2 + 2*n**2 - n**2 to the form s*n**2 + x + z*n and give s.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -9?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-333)\/(-174))*(252\/30 + -6). What is the biggest value in -2, 4, -19, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193219474 divided by -5054.\nAnswer: 38231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3 - 1 + 1 + q**3 - 6 + 3*q**2. Is k(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 167, 101, -65, -331, -697?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10\/39 (b) -1 (c) 8.2 (d) 96\/7 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12247.\nAnswer: 37, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*g + 5 = -99*g. Let i be (3 - (28900003 - -3)) + g - -2. What is i rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -414.1 - -414. Let m = 12 + -7. Let l = -0.7 - 0.3. Which is the closest to n? (a) m (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 458 = 4*s, 0 = -7*s + 2*s - 4*f + 574. Let h = s - 139. What is the hundreds digit of 247 - (5\/h + 2\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30773645?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, u: 6, d: 1, j: 2}. Give prob of picking 1 d, 1 j, and 2 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.3 + -32.48. Let h = t - 2.82. What is the nearest to -0.043 in 0.2, h, -0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111000 + 110101000011010001010?\nAnswer: 110101000010101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-942)\/7536 + (-55)\/(-312). Let q = 7 + -6.2. Let j = q + -1. Sort m, -4, j in decreasing order.\nAnswer: m, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19650.90668066 + 19626.90668. Let g = -24 - x. Round g to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3177*d**3 + 7*d**2 - 30583*d wrt d.\nAnswer: -19062*d + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*p*x**2 + 32210*p*x - 26200*x**2 + 813*x wrt x.\nAnswer: 80*p - 52400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36072 - 26811. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -698 and 101324.\nAnswer: 100626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 21*a**3 + 7*a - 7. Let s(f) = 64*f**3 - 40*f - 11. Let r(g) = -23*g**3 + 14*g + 4. Let y(b) = -17*r(b) - 6*s(b). What is 4*i(k) - 14*y(k)?\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.41026 and -58?\nAnswer: 58.41026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r**3. Suppose 0 = -3*m + 4*m - 2*x - 10, 21 = 3*m + 3*x. Let s(g) = 3*g**3 + 4*g**3 - 3*g**3. What is m*s(p) - 3*a(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - b + 1 + b. Let l(c) = -c + 12. Let q be l(5). Suppose 8*j - 45 = -q*j. Determine n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 328*b**5*o**3 + 41*b**4 - 11384*b**2*o**3 - 8*b*o**3 wrt b?\nAnswer: 19680*b**2*o**3 + 984*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-15 + 5) - (12 - 18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from {z: 1, o: 2, v: 1, j: 1, h: 1, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2. Let v(o) be the third derivative of 0*o**3 + 0*o**4 + 0*o - o**2 + 1\/10*o**5 + 0. Determine i(v(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**7\/1890 + w**6\/324 + w**5\/540 - w**4\/54 + 13*w**3\/3 - 9. Let g(p) be the third derivative of f(p). Factor g(x).\nAnswer: 2*(x + 1)*(x + 2)*(2*x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 - 5*c**4 + 5*c**4 + 0*c - 2*c**5 + 0*c + (-6*c**2 + c**2 + 3*c**2)*(-2*c**3 + c**3 - c**3) + 6*c**5 - 2*c**5 - 2*c**5.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -492 + 78*x - 27*x - 26*x + 493 - 48*x. Let a be (-30)\/(-12) + (-1)\/2. Determine r(a).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15241621 + 2653*h - 15241621.\nAnswer: 2653*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 162*m**2 + 2213*m + 108. Calculate v(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b - 52. Suppose -3*c = -4*y - 6*c + 55, -75 = -5*y - 5*c. Calculate the remainder when l(-13) is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 14*y - 11*y. Let v(i) = -i**2 + 7*i + 17. Let u be v(y). What is the third smallest value in -0.4, u, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192042846 and 2397?\nAnswer: 2397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 14 = -4*m, b - 6 - 2 = -2*m. Suppose -b*g + 14 = 6. Suppose -g*k = -2*k. Is k not equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2677 - 1776. Which is greater: 1\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c - 94*c - 2 + 80*c.\nAnswer: 20*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 26 = 7. What is the second derivative of 12*o - o**4 + o**4 - y*o + 2*o**4 wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 156\/7?\nAnswer: 156\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 163 + 1649. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1308 divided by -4?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**4 - 44*p**3 + 4*p**2 + 4. Let l(g) = 6*g**4 + 44*g**3 - 5*g**2 - 5. Let r(v) = 4*l(v) + 5*y(v). Find o, given that r(o) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/8 + 8\/(48\/6327) is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 16694.\nAnswer: 16695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 12728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4598 and 44?\nAnswer: 9196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(36)\/sqrt(3) - sqrt(12) - sqrt(12)))\/(3*sqrt(294)).\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 534772.\nAnswer: 3208632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2633.93421 - 2634. Let d = z - -0.065. Round d to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 133 + 133)*(29 + 1 + 26)*(0*p + p - 3*p) + 3*p**2 + 11*p - 11*p + (3 - 6 + 1)*(p**2 + p**2 - 4*p**2) + 4*p - 4*p + 2*p**2.\nAnswer: -663*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, c: 1, a: 6, x: 1, d: 6}. Give prob of picking 1 x, 1 f, and 1 a.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*x + r - 238, -5*x - 3*r = 395. What is the least common multiple of x\/(-8) - 4\/(-8) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13783 (base 9) in base 15?\nAnswer: -2bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12284\/(-35520) - (-10)\/32?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 6*t + 3. Let l be i(-5). Let w be l\/5 - 104\/(-10). List the prime factors of (-1268)\/(-20) - 4\/w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - -6) + 20 + -23.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 2*v + 3. Let j be s(-2). Let p(o) = o + 4. Let b be p(j). Solve b*d + 25 = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -12. What is the third derivative of -3*z**3 - 4*z - 4*z**h - z + 5*z wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - o - 2*o. Let y be v(-2). Calculate the highest common factor of 56 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6739 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/4)*o)\/o**10)\/(o**(-8)\/o**1) assuming o is positive.\nAnswer: o**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43782?\nAnswer: 2, 3, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -243*k**7\/7 + k**4\/2 - k**3 - 50*k + 1213. What is the third derivative of p(z) wrt z?\nAnswer: -29160*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 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: What is prob of sequence kuz when three letters picked without replacement from aaaukzq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -1 - 31. Let m be -1*(-3 - h) - -3. Let k(t) be the first derivative of -t**3 + 2*t + 62. Determine k(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 a factor of 243772569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*v - 7 - 62 = 0, -2*g + 138 = 3*v. Solve -g*h**2 + h**3 - h**5 + 69*h**2 + 0*h**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -86504?\nAnswer: 86501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 - 3*h - 1. Let f be o(-1). Let a(z) = -32696*z - 5. Let s be a(f). Let p = s - 54083. What is p rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/2505 and -107\/1057110.\nAnswer: 1057110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1496574 and 54?\nAnswer: 4489722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158474?\nAnswer: 2, 17, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4970120703 divided by 3.\nAnswer: -1656706901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146025 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j**2 - 1233*j + 88. Let f be o(-88). Calculate the greatest common divisor of 5192 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -5, -17, -8.65, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - c - 1. Let s be f(-2). What is the greatest common factor of 72 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*v**5 + 8*v**4 + 3314*v**3 + 60*v**2 + 3*v + 2126.\nAnswer: -2520*v**2 + 192*v + 19884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17726836 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -3585c8?\nAnswer: -3585cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z. Let x = z + 3. Do x and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 4:47 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 d, and 2 o when four letters picked without replacement from {d: 3, o: 5, g: 5}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 14) to base 5.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, a: 13, d: 3}. What is prob of sequence ldd?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-88.85.\nAnswer: -88.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6 - 6. Let i(l) = -l - 1. Let y(w) be the first derivative of w**2 + 3*w + 1280. Give s*i(n) + 4*y(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 1, v: 3, b: 1, h: 4, t: 3}. What is prob of sequence thv?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 1. Suppose -71*z - 90 = -161. Let o = 2 + -5. Let c(s) = -s**2 - 2 + 0 + 2*s + 7 - 8. Calculate o*r(v) + z*c(v).\nAnswer: -4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 - 4308*a - 12954. Determine y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u. Suppose f - b + 11 = 5*f, 4*f - 4*b - 16 = u. Suppose l + f*l = 524. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, o: 3, t: 2}. Give prob of sequence oo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -4*b - b - b + 22 + 3*b + 176*b**2. Is g(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s + 12. Let u(t) = -1. Let o(c) = -2*j(c) - 6*u(c). Calculate the remainder when o(-6) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449663310 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (12 - -7) + (-1 - (-23 + 17))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**0*x))**(11\/3)\/(x\/(x*x**(1\/4))*x\/x**(2\/7)) assuming x is positive.\nAnswer: x**(-13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2447770.73 to the nearest one hundred.\nAnswer: 2447800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795 divided by 91783?\nAnswer: 1795\/91783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993 + -2006 + (-56 - 1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*a - 14*a + 72 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2 + 4*d - 4. Let b(l) be the second derivative of -1\/6*l**3 + l + 0 + 1\/2*l**2 + 1\/12*l**4. Let i = 63 - 45. What is i*b(w) + 4*v(w)?\nAnswer: -2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 4*q + 8. Let c(f) = 3*f + 8. Suppose -8 + 2 = 2*u. Let s(t) = u*l(t) + 4*c(t). What is the first derivative of s(x) wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28914017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (936\/(-3900))\/((-3)\/30).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 376894313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65\/46 + 21\/23. Let v be 3\/5 - (-219)\/(-365). What is the nearest to v in 4, w, -12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/260 and -103\/193831014.\nAnswer: 1938310140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/3 - 85240*d\/3 - 596876\/3.\nAnswer: 4*(d - 21317)*(d + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-567)\/126.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.56 - 0.06. Which is the closest to -1? (a) -4 (b) -3\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-3)\/(-30))\/((-6)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -79.\nAnswer: 126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(4*r**3 + 0*r**3 - 18*r**3)*(-2*r + 7*r + 8*r).\nAnswer: -546*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1382 and 2467561?\nAnswer: 4935122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5855980, -5855920, -5855764, -5855464, -5854972, -5854240, -5853220, -5851864?\nAnswer: -5850124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 15. Let t be q(12). Let c(u) be the first derivative of 3*u**3 - 8*u**t - 3*u**3 - 13 + 16*u - 3*u**3. What is the derivative of c(y) wrt y?\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 23*k = 24*k - 21, 4*k = 4*h + 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -13.03.\nAnswer: -65.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.6 + -11.6. Let r be (7\/(-2))\/(8\/(-16)). Suppose -3*p = -r + 19. Put t, p, -1 in descending order.\nAnswer: t, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -28*y**6\/15 - 45*y**2\/2 - y - 16. What is the derivative of g(x) wrt x?\nAnswer: -224*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45684986*j**3 - 95130587?\nAnswer: -137054958*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(16\/18) + -2. Let f = -105 - 32. Let p = 136.5 + f. Sort -2\/9, p, s in increasing order.\nAnswer: p, -2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171 - -360. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btur when four letters picked without replacement from {r: 1, z: 1, b: 3, t: 2, x: 1, u: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18012, -0.5, 2\/49 in descending order.\nAnswer: 18012, 2\/49, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 4*s - 13. Let i be k(-6). Let n(q) = -q**3 - 7*q**2 - 6*q - 3. Let j be n(-6). Let g = i - j. Solve -d - 3 = -g*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5527, -11047, -16565, -22081, -27595, -33107?\n\"Answer: p**2 - 5523*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (sqrt(1100) + 0)**2) + 4 + 1 + (sqrt(1100) - (sqrt(1100) + 0 + sqrt(1100) + -2) - (2 + -1*sqrt(1100)))**2.\nAnswer: 3296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 4*m**2 + 4*m - 7. Let z be x(-5). Let u(l) = -8*l**2 + 3*l + 6. Let j(b) = -9*b**2 + 2*b + 5. Let r(w) = -5*j(w) + 4*u(w). Is r(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.7981 and 1.7.\nAnswer: -3.0981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -40. Suppose -o = -k + 25. Suppose 0 = 3*r - 5*g - k, 3*g + 29 - 7 = 2*r. Solve r + 5 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 5:48 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-16)*((-38)\/(-5) + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 819 - 801. What is the greatest common divisor of 8 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*x - 26 = 0, -9*s - 5862*x - 5860*x - 5 = -11718*x + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1361 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/44 - -2)\/(-66). Let x = -578\/13431 + q. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58 - 24281*b - 162 + 112 + 108 to the form u + d*b and give d.\nAnswer: -24281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-2)\/sqrt(2) - (sqrt(539)*-1)**2.\nAnswer: -539 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104\/3, -2, 2\/3 in decreasing order.\nAnswer: 104\/3, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/35 - 5) + 12\/(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1676235*x**5 + 203*x**2 - 220*x - 3 wrt x?\nAnswer: -100574100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 >= -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 185071710.6us in weeks?\nAnswer: 0.0003060048125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -75. Let z = 115 + i. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7422 divided by -1?\nAnswer: -7422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 207 - 127. What is the greatest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6\/5, -0.9, -4, 1\/5 in increasing order.\nAnswer: -5, -4, -0.9, 1\/5, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 10. Let l be k(7). Suppose m - 3*m = 4*v - 64, -5*v = l*m - 80. Calculate the highest common factor of v and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000101101011100 (base 2) to base 8.\nAnswer: -305534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -j - l - 26, 0 = -3*j - 4*l + 43 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**4\/24 - 5*z**3\/6 - 8*z**2. Let j be g(7). Solve -22*p**2 + 16*p**j + 4*p**3 - p**3 = 0 for p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o - 68 - 274 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = b + y, -11*b + y + 15 = 55 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -35, 0 in ascending order.\nAnswer: -35, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**3\/3 + 2856. Let t(a) = -a**2 - 2811. Calculate k(t(m)).\nAnswer: m**4 + 5622*m**2 + 7901721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 50?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 4*r**2 + 18*r - 17. Let x be a(-7). Let f = 123 + -121. Solve -x*w = -0*z + 3*z + 5, 2*z = -2*w - f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43648528199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 383 - 342. What is the remainder when 78 is divided by k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 352*d - 1396. What are the prime factors of j(48)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 2046, 4335, 7432, 11331?\nAnswer: 16026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*d + 55, 20 + 26 = 2*d - 5*l. Solve -5*x - 3*m = -8*m + 15, m = -3*x - d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/14)\/(-1))\/((-104)\/182).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -46 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*p**2 + 3 - 5*p**2 + p**2 to k + s*p + v*p**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**2 + m + 3. Let j be t(3). Let z = j - -8. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*t**3 - 2262*t**2 - 3 + 5 + 2260*t**2 + (-2 + 2 + 2*t)*(-3 + 7*t**2 + 3) to the form a*t**2 + o + r*t + x*t**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11459 (base 13) to base 7.\nAnswer: 160601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-2)*w*w*w*w)\/w*w)**(-44))**(-50)*((w\/(w\/w**(-5))*w)\/(w**10\/w))**(-19) assuming w is positive.\nAnswer: w**9047","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 8*w + 4. Let a be z(8). Let y = -6 - a. Let k be y*(1 - 26\/5). Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 + 566*f**2 + 600*f + 10058. Give t(-282).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 49. Put 3, m, 5, 1 in descending order.\nAnswer: m, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3467 is divided by 267.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43088)\/94255)\/(2\/(-70))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 + 1220100020200?\nAnswer: 1220100012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7394897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 2, e: 1, h: 2, x: 1, a: 1}. What is prob of sequence oa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 10*z - 7 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/3*(-936)\/(-624). Sort -68, -5, -2, z in increasing order.\nAnswer: -68, -5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194 - 41. Which is smaller: 1\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 704 by 64.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 142 + -97 + -81 + 90\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u + 0*u)*(6502*u - 6513*u + 134 + 40) - 3*u**2 + 2*u**2 - u**2 - 1.\nAnswer: -24*u**2 + 348*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q. Suppose -4*a - x + 19 = 2*x, -5*x + 29 = 4*a. Let f be d(a). What is the units digit of (-6)\/f*(-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooooooodoooo.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/3)\/(10\/15). Calculate the highest common divisor of 24 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {e: 2, j: 1, g: 1, s: 2, v: 5, f: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 5*b**2 - b + 2. Let v be t(-5). Let g be v + 1 + 0 + -3. Suppose 48 = -g*q + 9*q. What is the remainder when 47 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*p**2 + 265525*p**3 - 84*p**2 - 265532*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*g = 88*g + 15. What is the highest common divisor of g and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4092*v + 78988. Let s(i) = 909*i - 17552. Let j(k) = 7*h(k) + 32*s(k). Differentiate j(w) with respect to w.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/30 + 18*q**3 - 3645*q**2 + 684*q. Determine k so that o(k) = 0.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*t - 4 - 8 + 0 + 76*t.\nAnswer: -9*t - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - o = -5*o + 357, -3*d - 5*o + 357 = 0. Suppose 0 = 5*v - 5*f + 335, 3*v + 204 = -0*f + 2*f. Let i = d + v. Is i 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 ppbbbbbbbpbbbbbbbpb. Give prob of picking 2 b.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + s**2 - 4. Let q(t) = t**2 - 1. Let c be 0 + (2\/6)\/((-5)\/15). Give c*q(h) + j(h).\nAnswer: 2*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51\/351 - (-2)\/(-9). Let a = -795\/26 - k. Find the common denominator of a and -41\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6761*o**3 + 10 - 31 + 6712*o**3. Let j(g) = -5*g**3 - 2. Determine 2*h(x) - 21*j(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -258437, -258655, -258873, -259091, -259309, -259527?\n\"Answer: -218*z - 258219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + -7 + 98 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 1. Let t(l) = 4 + 3*l + 0 - 2. Suppose 5 = 4*f + f. Let r(a) = f*t(a) + 5*i(a). What is the derivative of r(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6*w = -2*w - 36, -5*k + 68 = -w. Let h = 118 + -114. Calculate the smallest common multiple of h and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -262*t + 79. Is i(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z = 90*z + 1260 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 7 + 2. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 139*a - 55. Give l(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4630928?\nAnswer: 2, 43, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 17516830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let v = -122966 - -122962. Sort g, v, -47, -2.\nAnswer: -47, v, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 86. Let j = b + 22. Let c = 33 + j. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 20) + 8 + -7?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 5454.3554.\nAnswer: 5458.3554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**3 + 15*q**2 - 8*q. Let x(b) = 14*b**3 - 40*b**2 + 23*b. Determine -8*h(a) - 3*x(a).\nAnswer: 6*a**3 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 3*r = 10*f + 48, -2*f + 4*r = -40. Let o(z) = -z**3 - 5*z**2 - 2*z - 6. Let g be o(-5). Calculate the greatest common divisor of f and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 10:17 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*q**2 - 12*q**2 + 3 - q**2 + 5 wrt q.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - l + 27 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x**(-2\/9)\/x)\/x*x*x*x**(-2\/7)*x*(x\/(x*x*x**(-2)))\/(x*(((x*x\/(x\/(x**(2\/21)*x)*x))\/x*x)\/x*x)\/x*x*x) assuming x is positive.\nAnswer: x**(-38\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**5\/70 + z**4\/42 + z**3\/21 - z**2\/7 - 26*z. Suppose w(s) = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.0400465 + -2.04. Round b to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12663.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -j - 7, -8*m + 3*m + 6*j - 43 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 20*z**5 - 123160*z**4 - 1233895*z**3 + 1815135*z**2 + 27297900*z - 27756000 = 0.\nAnswer: -15\/2, 1, 4, 6168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 4*(-846)\/188.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(10\/(-10))\/((-3)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 7824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 10:53 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*p - 3*i, -138*p + 5*i = -137*p + 21 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-63))\/(6\/(-21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -b?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080.5 less than -0.3?\nAnswer: -1080.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3991988 + -479046149\/120. Let q = j + 778\/15. Find the common denominator of q and (-288)\/440 + 4\/(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/4*(1 + -5) - 6. Sort f, 0, 1, 0.4 in decreasing order.\nAnswer: 1, 0.4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 7*n**2 - 10*n + 1. What is the first derivative of m(j) wrt j?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 19*o**2 - 41*o + 8. Let v(d) = -3*d. Let w(a) = -21*v(a) + 3*z(a). Let k(i) = 2*i**3 - i**2 + 1. Let m(n) = 12*k(n) - w(n). Factor m(l).\nAnswer: 3*(l - 2)*(l - 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8125 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11070270*c. Let k(w) = -w**2. What is l(k(g))?\nAnswer: -11070270*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12255951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28777422621048.5+-3\nAnswer: 28777422621045.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 6*v + 3*v)*(-3*v**2 - 3*v**2 + 5*v**2 + (24*v**2 + 4*v**2 - 12*v**2)*(1 - 1 + 3)).\nAnswer: -47*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104.65 - -104.8. Let h = 68 + -541\/8. Which is the third biggest value? (a) -2\/5 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/1008*(-14 + 7))\/((-1)\/18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*r = 23, 3*r = 2*u + 7*r - 22. Let y be u\/(-36) + 3\/12. Let l = 3\/3728 + 7441\/18640. Which is the second biggest value? (a) -3 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c, 2*c = 5*x - 0*c - 30. Let p(v) = 2*v + 6*v**2 + 4 - 4 + 1 + x. Is p(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227 + -164. Solve -4*i + 55 = g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417874766.\nAnswer: 2, 61, 79, 191, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47 + 6*((-56)\/12 + 6)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11436 + 3436. Let z be (4253 - 3)\/((-2)\/x). Round z to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (541 + 66 - 34)*(3*v**3 + v**3 - 2*v**3).\nAnswer: 1146*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 1. Let j be g(-5). Let c = -6 + j. Solve c = 3*n + 2*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 23 - 71. Let b(h) = -2*h + 78. Let a(t) = 5*t + 11. Let i be a(4). Let l be b(i). What is the highest common factor of l and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2991, -3004, -3023, -3048, -3079, -3116?\n\"Answer: -3*o**2 - 4*o - 2984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0163 * -0.5\nAnswer: 0.00815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h + 972669 = 357949. What is the remainder when h is divided by 310?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (6 - 14) + (0 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -15031840 in ascending order.\nAnswer: -15031840, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 8*k**2 + 53*k + 411. Calculate t(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1182360 and -125\/3006?\nAnswer: 3547080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*11*11\/968.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-216)\/(-378) + 2\/((-61600)\/17572). Which is bigger: w or -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(1\/2))**(-11\/2))**(13\/4)\/(u**(-6)*u**(2\/3))**(-43) assuming u is positive.\nAnswer: u**(-13153\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 108, 97, 78, 51, 16?\n\"Answer: -4*t**2 + t + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -11. Suppose 2*g = -4, -2*u + 0*u = -5*g - j. Solve 0 = -c + u*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22396824 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 361*k**6\/6 + 1881*k**5\/5 - 626*k**4 - 1640*k**3 - 472*k**2 - 48*k + 1740. Find t, given that s(t) = 0.\nAnswer: -6, -1, -2\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2944?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1235 and 164749.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 18. Let v = -10 + f. Which is the second biggest value? (a) 0.2 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.5 + 1.5. Let o = q - -19.18. What is o rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135610 is divided by 113.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*2*-3)\/sqrt(11).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 30*p. Let z(m) = 3*m. Give z(h(q)).\nAnswer: 90*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/55)\/((-67)\/737)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 18 + 12*f - 12*f**3 - 6 - 8 + 3*f**2 - 7 = 0. Calculate f.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 8*d**3\/3 - 11*d**2\/2 + 11*d - 1930. Let n(i) = 2*i**2 - 3*i + 3. What is 22*n(s) - 6*r(s)?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (-16)\/(-32) - 26\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 149501 and 957.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-338)\/20 + 10846\/638?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461710333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 + 342*s**4 - 10080*s**3 + 88800*s**2 = 0 for s.\nAnswer: 0, 20, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*j - 29 = 0, -2*j - j = -4*h + 11. Let v(o) = o**2 - 2*o - 3. Let z be v(h). Solve r + 4*n = -2*r - 13, z = 4*r - 2*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 28 = -5*g, 0 = 193*c - 186*c - 2*g - 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -914 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 0.3 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u + 5*u + 2 + 53*u.\nAnswer: 78*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 13 + 7849\/(-501))*(-3)\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2432101 (base 5) to base 4\nAnswer: -23031031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 717 and 24617.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 33*s + 279. Let y be f(40). Which is the second biggest value? (a) 4 (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -11. Let v = -3 - -3. Suppose -3*f + v*h = h + 5, 0 = -2*f + h. Which is bigger: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 5, 12, -7.\nAnswer: -7, 5, 12, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 27. Suppose 3*y - y = c. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-30)*45\/300?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -122?\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(10\/11)\/(l**(2\/21)*l) assuming l is positive.\nAnswer: l**(-43\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 14541451?\nAnswer: 14541453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + (-20 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/8 - 3*s**2\/4 + 4*s - 1. Let q(x) be the first derivative of z(x). Solve q(r) = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a66 (base 16) in base 15?\nAnswer: 466a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132513*p**4 + 7*p**2 + 19445494*p?\nAnswer: 1590156*p**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*4*(-2 + 10*-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglggll. What is prob of picking 2 g and 1 l?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/19)*u)**(-29)*u*((u\/u**10)\/u)\/u*u*u**(-40)\/u assuming u is positive.\nAnswer: u**(-1617\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 y when four letters picked without replacement from {m: 2, y: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2046717\/50 + 40932. What is the common denominator of -7\/80 and a?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 19425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*g*u**2*z + 4*g*u*z**3 - 3*g*u*z**2 - 3*g - 7*u**2*z**3 + 5*u*z**3 wrt u.\nAnswer: -124*g*z - 14*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:33 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17446187*m**3 + 22208300*m**2.\nAnswer: 104677122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78.7 + 1.7. Let i = d - -77.000115. What is i rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/6)\/1 + (-271488)\/(-72)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/9 - (-25)\/15. Solve -11 = s*x - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*t**2\/4 + 1632*t + 297.\nAnswer: -3*(t - 198)*(11*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 17 (b) -2\/17 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Suppose a*o + 2*o - 63 = -d, -4*d - o + 280 = 0. Suppose 3*j = -2*z + 72, -2*j = j. Calculate the remainder when d is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.8302, 0, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 965, 1967, 2967, 3959, 4937, 5895?\n\"Answer: -j**3 + 5*j**2 + 994*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8248174.\nAnswer: 2, 11, 43, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(168) - sqrt(168)*-1)\/sqrt(7) + sqrt(1176)*-1)\/(2*sqrt(800)*1))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 364782347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18bb8 + 4f?\nAnswer: -18b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 at most -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-3) - 8\/12. Suppose -3*j - 16 = -7*j. Sort j, z, 1 in decreasing order.\nAnswer: j, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2265691 is divided by 21785.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 (base 11) in base 9?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5 + 22*z**3 - 36*z**2 + 16*z = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76044020 to the power of 1\/2, to the nearest integer?\nAnswer: 8720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(147)*-5*6 + (sqrt(147) - -4*(sqrt(147) + 2 - sqrt(147))) + -2*sqrt(147)*1)*-2*3)**2.\nAnswer: 237888*sqrt(3) + 18423756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {j: 1, f: 6, s: 2, m: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -626639092961?\nAnswer: 626639092961.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 + 4*g + 435 + 787*g**2 - 205 - 3*g.\nAnswer: 787*g**2 + g + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2)\/((-2)\/(-1))*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 27*o - 29. Is a(-15) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**2 + 22*j**3 - 14*j**3 - 12*j**2.\nAnswer: 8*j**3 - 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.267*0.1\nAnswer: -0.0267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oosoossoqqsoolxwosoo. Give prob of picking 1 x, 1 w, and 1 l.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272295 is divided by 354.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 10:24 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 663 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-160)\/(-60) + (-7)\/(-3). Solve 3*l = 5*q + 4*l - 21, -3*q = 5*l + y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 2*j + 1. Let b(p) = -6*p**2 + 11*p + 6. Suppose -22*f + 110 = -27*f. Determine f*a(n) + 4*b(n).\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 637*j - 7. Let l be v(2). Is l\/((-3)\/(-3))*(-11 + 12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3138762373.\nAnswer: 457, 6868189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865473 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5 - 248*v**4\/7 + 1216*v**3\/7 - 1312*v**2\/7 - 480*v\/7 = 0?\nAnswer: -2\/7, 0, 2, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19176 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 534179 - 254426. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2109500 divided by -125.\nAnswer: -16876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}